[go: up one dir, main page]

CN116953288A - Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors - Google Patents

Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors Download PDF

Info

Publication number
CN116953288A
CN116953288A CN202310922627.1A CN202310922627A CN116953288A CN 116953288 A CN116953288 A CN 116953288A CN 202310922627 A CN202310922627 A CN 202310922627A CN 116953288 A CN116953288 A CN 116953288A
Authority
CN
China
Prior art keywords
accelerometer
target
eccentric block
stepper motor
angle
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202310922627.1A
Other languages
Chinese (zh)
Inventor
陈杏藩
潘玉瑶
李楠
胡慧珠
刘承
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Zhejiang University ZJU
Original Assignee
Zhejiang University ZJU
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Zhejiang University ZJU filed Critical Zhejiang University ZJU
Priority to CN202310922627.1A priority Critical patent/CN116953288A/en
Publication of CN116953288A publication Critical patent/CN116953288A/en
Pending legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01PMEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
    • G01P21/00Testing or calibrating of apparatus or devices covered by the preceding groups

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)

Abstract

本发明公开了利用双偏心电机激振力的加速度计分辨率测试装置及方法。步进电机和加速度计安装在光学平台上,步进电机转轴连接有两个偏心块,加速度计和终端计算机之间通过信号采集系统连接,两个偏心模块呈对称分布;方法包括给定目标加速度变化量,根据同一个目标加速度变化量,选取多组目标夹角和目标夹角增量,然后获得多组目标夹角、目标夹角增量对应的加速度计输出信号幅度差值的平均值,并与目标加速度变化量进行比较,判断给定的目标加速度变化量是否达标,选取达标目标加速度变化量中的最小值作为加速度计分辨率。本发明测试在光学平台上进行,结构装置简单,成本低廉,可以不借助精密旋转装置即实现极高分辨率,实用性强。

The invention discloses an accelerometer resolution testing device and method using the excitation force of a double eccentric motor. The stepper motor and accelerometer are installed on the optical platform. The stepper motor shaft is connected with two eccentric blocks. The accelerometer and the terminal computer are connected through a signal acquisition system. The two eccentric modules are symmetrically distributed; the method includes given target acceleration. Change amount, according to the same target acceleration change amount, select multiple sets of target included angles and target included angle increments, and then obtain the average value of the accelerometer output signal amplitude differences corresponding to multiple sets of target included angles and target included angle increments. And compare it with the target acceleration change to determine whether the given target acceleration change reaches the standard, and select the minimum value among the target acceleration changes that meet the standard as the accelerometer resolution. The test of the present invention is carried out on an optical platform, has a simple structure and low cost, can achieve extremely high resolution without resorting to a precision rotating device, and has strong practicability.

Description

利用双偏心电机激振力的加速度计分辨率测试装置及方法Accelerometer resolution testing device and method using double eccentric motor excitation force

技术领域Technical field

本发明属于加速度计传感器领域加速度计分辨率测试装置及方法,尤其涉及了一种利用双偏心电机激振力的加速度计分辨率测试装置及方法。The invention belongs to the field of accelerometer sensors and relates to an accelerometer resolution testing device and method. In particular, it relates to an accelerometer resolution testing device and method that utilizes the excitation force of a double eccentric motor.

背景技术Background technique

加速度计是测量运载体线加速度的仪表,由检测质量(也称敏感质量)、支承、电位器、弹簧、阻尼器和壳体组成,具有结构简单、精度高的特点,在惯性导航系统、大地测量系统中有广泛的应用。分辨率是加速度计的一个重要指标,反映加速度计所能测量加速度的最小极限,分辨率越高,加速度计对微弱加速度越敏感,分辨率测量在高精度加速度计的标定和应用中至关重要。The accelerometer is an instrument that measures the linear acceleration of the carrier. It consists of a detection mass (also called a sensitive mass), a support, a potentiometer, a spring, a damper and a housing. It has the characteristics of simple structure and high precision. It is used in inertial navigation systems and geodetic systems. It has a wide range of applications in measurement systems. Resolution is an important indicator of an accelerometer, reflecting the minimum limit of acceleration that the accelerometer can measure. The higher the resolution, the more sensitive the accelerometer is to weak accelerations. Resolution measurement is crucial in the calibration and application of high-precision accelerometers. .

在进行加速度计分辨率测试时,需要人为地给加速度计一个微小的加速度输入,然后进行信号输出的采样和数据处理,为了实现对高分辨率加速度计的测量,测试方法应至少比加速度计待测分辨率高一个数量级以上。一般通过采用机械结构装置,改变敏感轴与水平面夹角或改变引力块和加速度之间的间距来测试加速度计分辨率。常用的测试方法是采用光学分度头细分重力场,光学分度头最小标度为0.1″,所能测量的加速度计最高分辨率为0.5ug。还可以采用匀速旋转调制的方法测试分辨率,将加速度安装在可偏转的匀速转动台面上,对重力加速度信号进行更微小的划分,利用双轴转台可以测得0.1ug的分辨率。采取高比重材料产生引力梯度也可以进行分辨率测试,将4只石英挠性加速度计间隔90°均匀安装在以角速度匀速旋转的双轴转台上,敏感轴方向为旋转角速度切向方向,移动铅球产生不同大小的引力,可得到最高分辨率为0.01ug。而在1g激励下的分辨率测试方法则是利用精密单轴旋转装置来测试分辨率,并利用参考加速度计抑制共模噪声,用以判断被测加速度计是否具备1×10-8g量级分辨率。利用摆动装置的加速度计分辨率测试方法,能提供约为1ug量级的输入加速度。基于压电偏摆台的石英加速度计高分辨率测试方法是将高精度加速度计安装在压电偏摆台上,使压电偏摆台以固定频率f在毫弧度量级上进行微角度摆动,预估测试分辨率可达到1×10-9g。When testing the accelerometer resolution, it is necessary to artificially give the accelerometer a small acceleration input, and then perform signal output sampling and data processing. In order to achieve the measurement of a high-resolution accelerometer, the test method should be at least as long as the accelerometer. The measurement resolution is more than an order of magnitude higher. Generally, the accelerometer resolution is tested by using a mechanical structure device, changing the angle between the sensitive axis and the horizontal plane, or changing the distance between the gravity block and the acceleration. The commonly used test method is to use an optical indexing head to subdivide the gravity field. The minimum scale of the optical indexing head is 0.1″, and the maximum resolution of the accelerometer that can be measured is 0.5ug. The method of uniform rotation modulation can also be used to test the resolution. , the acceleration is installed on a deflectable uniform rotating table, and the gravity acceleration signal is divided into smaller parts. A biaxial turntable can be used to measure a resolution of 0.1ug. The resolution test can also be carried out by using high specific gravity materials to generate gravitational gradients. Four quartz flexible accelerometers are evenly installed at 90° intervals on a biaxial turntable that rotates at a constant angular velocity. The direction of the sensitive axis is the tangential direction of the rotational angular velocity. The moving lead ball produces different sizes of gravity, and the highest resolution can be obtained is 0.01ug. .The resolution test method under 1g excitation uses a precision single-axis rotation device to test the resolution, and uses a reference accelerometer to suppress common mode noise to determine whether the accelerometer under test has a 1×10 -8 g capacity. level resolution. The accelerometer resolution test method using a swing device can provide an input acceleration of about 1ug. The high-resolution test method of quartz accelerometers based on a piezoelectric deflection stage is to install a high-precision accelerometer on a piezoelectric deflection table. On the electric deflection stage, the piezoelectric deflection stage is made to perform micro-angle swing at a fixed frequency f on the milliradian scale. It is estimated that the test resolution can reach 1×10 -9 g.

现有高分辨率的加速度计测试方案,都需要借助精密旋转装置或转台来提供极微小的加速度信号输入,对环境设备的要求很高,成本高昂,而一般的分辨率测试方案所能得到的分辨率有限。Existing high-resolution accelerometer test solutions require the use of precision rotating devices or turntables to provide extremely small acceleration signal inputs. They have high requirements for environmental equipment and high costs. However, general resolution test solutions can only obtain Resolution is limited.

发明内容Contents of the invention

针对目前高灵敏度加速度计分辨率测试方法需要借助高精密转台或旋转装置,成本高昂,安装复杂的现状,本发明的目的在于提供一种利用双偏心电机激振力的加速度计分辨率测试装置及方法,可以在简单的装置结构上实现对高灵敏度加速度计的分辨率精确测试。In view of the current situation that high-sensitivity accelerometer resolution testing methods require the use of high-precision turntables or rotating devices, which are costly and complicated to install, the purpose of the present invention is to provide an accelerometer resolution testing device that utilizes the excitation force of a double eccentric motor and This method can achieve accurate resolution testing of high-sensitivity accelerometers on a simple device structure.

本发明所采用的技术方案如下:The technical solutions adopted by the present invention are as follows:

一、一种利用双偏心电机激振力的加速度计分辨率测试装置:1. An accelerometer resolution testing device using the excitation force of a double eccentric motor:

本发明所采用的装置包括偏心模块、信号采集模块、光学平台、步进电机驱动器和终端计算机;光学平台放置在地面上,两个偏心模块固定安装在光学平台的上表面,信号采集模块的一端放置在光学平台上,信号采集模块的另一端和终端计算机之间电连接,偏心模块的输入端和终端计算机的输出端之间通过步进电机驱动器连接。The device used in the present invention includes an eccentric module, a signal acquisition module, an optical platform, a stepper motor driver and a terminal computer; the optical platform is placed on the ground, two eccentric modules are fixedly installed on the upper surface of the optical platform, and one end of the signal acquisition module Placed on the optical platform, the other end of the signal acquisition module is electrically connected to the terminal computer, and the input end of the eccentric module and the output end of the terminal computer are connected through a stepper motor driver.

所述的偏心模块包括步进电机、固定偏心块和可调偏心块;步进电机固定安装在光学平台的上表面,且步进电机的转轴与光学平台的上表面垂直,固定偏心块和可调偏心块均位于光学平台的上方,步进电机转轴的顶端连接在固定偏心块和可调偏心块的偏心位置处,固定偏心块和可调偏心块均绕着步进电机转轴做匀速圆周运动,步进电机的脉冲输入端和终端计算机之间通过步进电机驱动器连接。The eccentric module includes a stepper motor, a fixed eccentric block and an adjustable eccentric block; the stepper motor is fixedly installed on the upper surface of the optical platform, and the rotating axis of the stepper motor is perpendicular to the upper surface of the optical platform, and the fixed eccentric block and the adjustable eccentric block are The adjustable eccentric blocks are located above the optical platform. The top of the stepper motor shaft is connected to the eccentric position of the fixed eccentric block and the adjustable eccentric block. Both the fixed eccentric block and the adjustable eccentric block make uniform circular motion around the stepper motor shaft. , the pulse input end of the stepper motor and the terminal computer are connected through the stepper motor driver.

所述的信号采集模块包括加速度计和信号采集系统,加速度计放置在光学平台上,加速度计的输出端和终端计算机之间通过信号采集系统连接;两个偏心模块以加速度计的敏感轴为对称轴呈对称分布,两个偏心模块中步进电机的连接线与加速度计的敏感轴垂直。The signal acquisition module includes an accelerometer and a signal acquisition system. The accelerometer is placed on an optical platform. The output end of the accelerometer and the terminal computer are connected through the signal acquisition system; the two eccentric modules are symmetrical with the sensitive axis of the accelerometer. The axes are symmetrically distributed, and the connecting lines of the stepper motors in the two eccentric modules are perpendicular to the sensitive axis of the accelerometer.

二、利用双偏心电机激振力的加速度计分辨率测试方法,包括以下步骤:2. The accelerometer resolution test method using the excitation force of the double eccentric motor includes the following steps:

步骤S1)将两个偏心模块以加速度计敏感轴为对称轴,轴对称地安装在光学平台上,然后给定目标加速度变化量Δa;Step S1) Install the two eccentric modules on the optical platform axially symmetrically with the accelerometer sensitive axis as the symmetry axis, and then set the target acceleration change amount Δa;

步骤S2)获得目标夹角下数字电信号正弦分量的幅度:Step S2) Obtain the amplitude of the sinusoidal component of the digital electrical signal at the target angle:

步骤S2.1)给定目标夹角θ,并将固定偏心块和可调偏心块之间的夹角调整为目标夹角θ;Step S2.1) Given the target angle θ, and adjust the angle between the fixed eccentric block and the adjustable eccentric block to the target angle θ;

步骤S2.2)在目标夹角下,控制步进电机转轴旋转,接着光学平台和加速度计敏感轴振动,然后利用终端计算机得到目标夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为初始幅度;Step S2.2) At the target angle, control the stepper motor shaft to rotate, then the optical platform and accelerometer sensitive shaft vibrate, and then use the terminal computer to obtain the amplitude of the sinusoidal component of the digital electrical signal at the target angle, and convert the current digital The amplitude of the sinusoidal component of the electrical signal is used as the initial amplitude;

步骤S3)获得调整夹角下数字电信号正弦分量的幅度:Step S3) Obtain the amplitude of the sinusoidal component of the digital electrical signal under the adjusted angle:

步骤S3.1)根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc,然后调节可调偏心块的位置,使得固定偏心块和可调偏心块之间的夹角变为调整夹角θcStep S3.1) According to the given target acceleration change Δa and the target included angle θ, determine the adjustment angle θ c , and then adjust the position of the adjustable eccentric block to make the included angle between the fixed eccentric block and the adjustable eccentric block becomes the adjustment angle θ c ;

步骤S3.2)在调整夹角θc下,控制步进电机转轴旋转,接着光学平台和加速度计敏感轴振动,利用终端计算机得到调整夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为调整幅度;Step S3.2) Under the adjusted included angle θ c , control the rotation of the stepper motor shaft, then the optical platform and accelerometer sensitive shaft vibrate, use the terminal computer to obtain the amplitude of the sinusoidal component of the digital electrical signal under the adjusted included angle, and store the current The amplitude of the sinusoidal component of the digital electrical signal is used as the adjustment amplitude;

步骤S3.3)按照以下公式处理得到该调整夹角θc下的幅度差值:Step S3.3) Process according to the following formula to obtain the amplitude difference at the adjustment angle θ c :

幅度差值=调整幅度-初始幅度Amplitude difference = adjustment amplitude – initial amplitude

步骤S4)重复多次步骤S2)-步骤S3),获得不同调整夹角θc下的幅度差值,求得所有幅度差值的平均值作为目标加速度变化量Δa对应的目标平均幅度差;Step S4) Repeat steps S2) to step S3) multiple times to obtain amplitude differences under different adjustment angles θ c , and obtain the average of all amplitude differences as the target average amplitude difference corresponding to the target acceleration change Δa;

步骤S5)将目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断给定的目标加速度变化量是否为达标的目标加速度变化量;Step S5) Compare the target acceleration change amount Δa with the corresponding target average amplitude difference to determine whether the given target acceleration change amount is the target acceleration change amount that meets the standard;

步骤S6)重复多次步骤S1)-步骤S5),获得若干个达标的目标加速度变化量,选取达标目标加速度变化量中的最小值作为加速度计的分辨率。Step S6) Repeat steps S1) to step S5) multiple times to obtain several target acceleration changes, and select the minimum value among the target acceleration changes as the resolution of the accelerometer.

所述步骤S2.2)和步骤S3.2)中,控制步进电机转轴旋转,接着光学平台和加速度计敏感轴振动,然后利用终端计算机得到数字电信号正弦分量幅度的具体步骤为:In the steps S2.2) and S3.2), the stepper motor shaft is controlled to rotate, then the optical platform and the accelerometer sensitive shaft vibrate, and then the terminal computer is used to obtain the amplitude of the sinusoidal component of the digital electrical signal. The specific steps are:

首先,终端计算机通过步进电机驱动器控制两台步进电机转轴以方向相反、大小相同的转速运行,步进电机转轴旋转后带动固定偏心块和可调偏心块运动并产生激振力,激振力驱动光学平台振动,光学平台振动后带动加速度计的敏感轴做直线往复振动;First, the terminal computer controls the two stepper motor shafts to run in opposite directions and at the same speed through the stepper motor driver. After the stepper motor shaft rotates, it drives the fixed eccentric block and the adjustable eccentric block to move and generate excitation force. The force drives the optical platform to vibrate, and the vibration of the optical platform drives the sensitive axis of the accelerometer to vibrate in a straight line;

接着,加速度计将直线往复振动下的加速度信号转换为模拟电信号,并输入到信号采集系统中,信号采集系统将输入的模拟电信号转换为数字电信号传输到终端计算机中,利用终端计算机处理分离出数字电信号中的信号正弦分量,获得当前角度下,对应的数字电信号正弦分量的幅度。Then, the accelerometer converts the acceleration signal under linear reciprocating vibration into an analog electrical signal, and inputs it into the signal acquisition system. The signal acquisition system converts the input analog electrical signal into a digital electrical signal and transmits it to the terminal computer, which is processed by the terminal computer. Separate the signal sinusoidal component in the digital electrical signal, and obtain the amplitude of the corresponding sinusoidal component of the digital electrical signal at the current angle.

所述步骤S3.1)中,根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc的具体步骤为:In the step S3.1), according to the given target acceleration change Δa and the target included angle θ, the specific steps to determine the adjustment of the included angle θ c are:

调整夹角θc按照以下公式处理得到:The adjustment angle θ c is obtained according to the following formula:

θc=θ+Δθθ c =θ + Δθ

其中,Δθ为目标夹角增量,A为目标夹角θ下加速度信号a正弦分量的幅度,Δa为给定的目标加速度变化量,θ为给定的目标夹角。Among them, Δθ is the target angle increment, A is the amplitude of the sinusoidal component of the acceleration signal a at the target angle θ, Δa is the given target acceleration change, and θ is the given target angle.

所述步骤S5)的具体操作:The specific operations of step S5):

步骤S5.1)将步骤S4)获得的目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断目标加速度变化量Δa是否达标:Step S5.1) Compare the target acceleration change Δa obtained in step S4) with the corresponding target average amplitude difference to determine whether the target acceleration change Δa reaches the standard:

若50%<目标平均幅度差/目标加速度变化量<150%,则表明该目标加速度变化量为达标的目标加速度变化量;If 50%<target average amplitude difference/target acceleration change<150%, it means that the target acceleration change is the target acceleration change that meets the standard;

否则,则表明该目标加速度变化量为不达标的目标加速度变化量;Otherwise, it means that the target acceleration change amount is a target acceleration change amount that does not meet the standard;

所述的目标加速度变化量Δa取整数。The target acceleration change amount Δa is an integer.

所述步进电机产生的激振力大小按照以下公式处理得到:The excitation force generated by the stepper motor is calculated according to the following formula:

其中,m为单个固定偏心块和单个可调偏心块的质量之和,r为固定偏心块的质心与步进电机转轴之间的距离,ω为转轴转动角速度,θp为固定偏心块和可调偏心块之间的实际夹角。Among them, m is the sum of the masses of a single fixed eccentric block and a single adjustable eccentric block, r is the distance between the center of mass of the fixed eccentric block and the stepper motor shaft, ω is the angular velocity of the rotating shaft, θ p is the fixed eccentric block and the adjustable eccentric block. Adjust the actual angle between the eccentric blocks.

所述目标夹角θ下,加速度计敏感轴做直线往复振动的加速度信号a按照以下公式处理得到:Under the target angle θ, the acceleration signal a of the accelerometer's sensitive axis undergoing linear reciprocating vibration is processed according to the following formula:

其中,M为光学平台的总质量,m为单个固定偏心块和单个可调偏心块的质量之和,r为固定偏心块的质心与步进电机转轴之间的距离,ω为转轴转动角速度,θ为目标夹角,t为转轴转动时间,为固定偏心块和可调偏心块角平分线与加速度计敏感轴之间的夹角,η为直线往复振动的加速度信号正弦分量的频率下的光学平台水平振动隔振效率。Among them, M is the total mass of the optical table, m is the sum of the masses of a single fixed eccentric block and a single adjustable eccentric block, r is the distance between the center of mass of the fixed eccentric block and the stepper motor shaft, ω is the rotation angular velocity of the shaft, θ is the target angle, t is the rotation time of the rotating shaft, is the angle between the angular bisector of the fixed eccentric block and the adjustable eccentric block and the sensitive axis of the accelerometer, and eta is the horizontal vibration isolation efficiency of the optical platform at the frequency of the sinusoidal component of the acceleration signal of linear reciprocating vibration.

本发明的发明原理如下:The inventive principle of the present invention is as follows:

本发明采用步进电机调控光学平台往复振动的方法,步进电机转轴垂直于光学平台,转轴旋转带动偏心块产生离心力,反作用于与光学平台固定在一起的步进电机,即为激振力,激振力大小为:The present invention uses a stepper motor to control the reciprocating vibration of an optical platform. The rotating shaft of the stepper motor is perpendicular to the optical platform. The rotation of the rotating shaft drives the eccentric block to generate centrifugal force, which reacts on the stepper motor fixed with the optical platform, which is the excitation force. The magnitude of the exciting force is:

其中,m为单个固定偏心块和单个可调偏心块的质量之和,r为偏心块的质心与步进电机转轴之间的距离,ω为转轴转动角速度,θp为固定偏心块和可调偏心块之间的实际夹角。Among them, m is the sum of the masses of a single fixed eccentric block and a single adjustable eccentric block, r is the distance between the center of mass of the eccentric block and the stepper motor shaft, ω is the angular velocity of the rotating shaft, θ p is the fixed eccentric block and the adjustable eccentric block. The actual angle between the eccentric blocks.

固定电机转轴上装载有规格相同的固定偏心块和可调偏心块,通过改变可调偏心块固定角度,改变两偏心块之间的夹角θp,从而改变合成偏心距的大小,调节激振力大小。The fixed motor shaft is loaded with a fixed eccentric block and an adjustable eccentric block of the same specifications. By changing the fixed angle of the adjustable eccentric block, the angle θ p between the two eccentric blocks is changed, thereby changing the size of the resultant eccentric distance and adjusting the excitation. force size.

单个步进电机转轴垂直安装在光学平台上,在激振力作用下带动光学平台产生圆周运动,两个型号相同的步进电机以方向相反大小相同转速运转时,光学平台产生的运动是直线往复振动,光学平台产生的振动带动加速度计的敏感轴做直线往复振动,加速度计做直线往复振动的加速度信号a可以写作:The rotating shaft of a single stepper motor is installed vertically on the optical platform. Under the action of the excitation force, the optical platform is driven to produce circular motion. When two stepper motors of the same model run in opposite directions and at the same speed, the motion generated by the optical platform is linear reciprocation. Vibration, the vibration generated by the optical platform drives the sensitive axis of the accelerometer to vibrate in a straight line, and the acceleration signal a of the accelerometer vibrating in a straight line can be written as:

其中,M为光学平台的总质量,m为单个固定偏心块和单个可调偏心块的质量之和,r为固定偏心块的质心与步进电机转轴之间的距离,ω为转轴转动角速度,θp为固定偏心块和可调偏心块之间的实际夹角,t为转轴转动时间,为固定偏心块和可调偏心块两者的角平分线与加速度计敏感轴之间的夹角,一般为0°,η为直线往复振动的加速度信号正弦分量的频率f下的光学平台水平振动隔振效率。Among them, M is the total mass of the optical table, m is the sum of the masses of a single fixed eccentric block and a single adjustable eccentric block, r is the distance between the center of mass of the fixed eccentric block and the stepper motor shaft, ω is the rotation angular velocity of the shaft, θ p is the actual angle between the fixed eccentric block and the adjustable eccentric block, t is the rotation time of the rotating shaft, is the angle between the angular bisector of the fixed eccentric block and the adjustable eccentric block and the sensitive axis of the accelerometer, generally 0°, eta is the horizontal vibration of the optical platform at the frequency f of the sinusoidal component of the acceleration signal of linear reciprocating vibration Vibration isolation efficiency.

例如,NAP系列气浮隔振光学平台中,型号为NAP15-10的光学平台台面自重180kg,水平方向振动频率为5Hz时,隔振效率为88~94%,10Hz时隔振效率为92%~98%。选择单组偏心模块中偏心块的合质量为0.1kg,最大合成偏心距为0.05m的偏心块装载在步进电机上,偏心块之间的目标夹角θ为0°,步进电机转速调整为600r/min,使光学平台往复运动频率为10Hz,此时光学平台水平方向上隔振效率为95%,根据公式计算得到此时加速度信号幅度为1.1mg。For example, in the NAP series air-floating vibration isolation optical platform, the optical platform model NAP15-10 weighs 180kg. When the horizontal vibration frequency is 5Hz, the vibration isolation efficiency is 88~94%, and when the vibration frequency is 10Hz, the vibration isolation efficiency is 92%~ 98%. Select an eccentric block with a total mass of 0.1kg and a maximum combined eccentricity of 0.05m in a single group of eccentric modules to be loaded on the stepper motor. The target angle θ between the eccentric blocks is 0°, and the stepper motor speed is adjusted. is 600r/min, and the reciprocating frequency of the optical platform is 10Hz. At this time, the vibration isolation efficiency in the horizontal direction of the optical platform is 95%. According to the formula, the acceleration signal amplitude at this time is 1.1mg.

在此基础上,改变两偏心块之间的夹角,从而改变合成偏心距的大小,调节激振力大小,改变加速度的幅度。根据给定的目标加速度变化量选取多组加速度信号正弦分量幅度、目标夹角,确定目标夹角增量和调整夹角,获得目标加速度变化量下多组目标夹角及调整夹角对应的不同输出幅度差值的平均值,并与理想输出差值即目标加速度变化量进行比较。由于输出加速度信号是正弦信号,需要对输出正弦信号进行数据处理后,对多个加速度峰值进行平均求其幅度。On this basis, the angle between the two eccentric blocks is changed, thereby changing the size of the resultant eccentricity, adjusting the size of the excitation force, and changing the amplitude of the acceleration. According to the given target acceleration change, select multiple sets of acceleration signal sinusoidal component amplitudes and target included angles, determine the target included angle increment and adjustment included angle, and obtain the corresponding differences between multiple sets of target included angles and adjusted included angles under the target acceleration change. The average value of the output amplitude difference is compared with the ideal output difference, that is, the target acceleration change. Since the output acceleration signal is a sinusoidal signal, it is necessary to perform data processing on the output sinusoidal signal and average multiple acceleration peaks to find its amplitude.

加速度信号正弦分量幅度,目标加速度变化量,目标夹角,目标夹角增量的关系满足如下关系:The relationship between the amplitude of the sinusoidal component of the acceleration signal, the target acceleration change, the target included angle, and the target included angle increment satisfy the following relationship:

其中,Δθ为目标夹角增量,A为目标夹角θ下加速度信号正弦分量的幅度,Δa为给定的目标加速度变化量,θ为给定的目标夹角。沿用目标夹角θ为0时加速度信号正弦分量幅度为1.1mg,选取目标夹角0°,目标加速度变化量为4.2ug,则目标夹角增量为10°;若目标加速度变化量为1.05ug,则选择目标夹角增量为5°。若选择台面重量更大的光学平台,则可以进一步缩小目标加速度变化量的选择。若在此基础上提高对目标夹角的更高精度调控,则可以实现更精细的加速度计分辨率测试。Among them, Δθ is the target angle increment, A is the amplitude of the sinusoidal component of the acceleration signal at the target angle θ, Δa is the given target acceleration change, and θ is the given target angle. When the target angle θ is 0, the amplitude of the sinusoidal component of the acceleration signal is 1.1mg. If the target angle is 0° and the target acceleration change is 4.2ug, then the target angle increment is 10°; if the target acceleration change is 1.05ug , then select the target angle increment to be 5°. If you choose an optical table with a larger table weight, you can further narrow the selection of target acceleration changes. If higher-precision control of the target angle is improved on this basis, more precise accelerometer resolution testing can be achieved.

步进电机为整个测试装置提供动力,安装在光学平台上的步进电机装载有规格相同的固定偏心块和可调偏心块,偏心块旋转产生激振力,步进电机转轴垂直的安装在光学平台上,令光学平台产生水平方向上的微弱振动;型号相同的两台步进电机以相同方式安装并以方向相反大小相同转速运行,令光学平台产生水平方向上幅度可调的直线往复振动。加速度计随光学平台在敏感轴方向上做直线往复运动。根据目标加速度变化量选取偏心块之间的目标夹角及目标夹角增量,调节激振力来改变加速度计输入正弦信号的幅度,得到加速度计的不同输出数据,根据实际输出幅度差值和目标加速度变化量下理想输出差值的比值来判断加速度计的分辨率是否达标。The stepper motor provides power for the entire test device. The stepper motor installed on the optical platform is loaded with a fixed eccentric block and an adjustable eccentric block with the same specifications. The eccentric block rotates to generate an exciting force. The stepper motor shaft is installed vertically on the optical platform. on the platform, causing the optical platform to produce weak vibrations in the horizontal direction; two stepper motors of the same model are installed in the same way and run in opposite directions and at the same speed, causing the optical platform to produce linear reciprocating vibrations with adjustable amplitude in the horizontal direction. The accelerometer makes linear reciprocating motion in the direction of the sensitive axis along with the optical platform. Select the target angle between the eccentric blocks and the target angle increment according to the target acceleration change, adjust the excitation force to change the amplitude of the accelerometer input sinusoidal signal, and obtain different output data of the accelerometer. According to the actual output amplitude difference and The ratio of the ideal output difference under the target acceleration change is used to determine whether the resolution of the accelerometer meets the standard.

本发明具有的有益效果为:The beneficial effects of the present invention are:

1、本发明提供一种加速度计用的分辨率测试方法,利用偏心电机,光学平台实现简单可靠的测量装置,不需借助昂贵且操作复杂的精密转台,就能实现高灵敏度加速度计的分辨率测试,并利用测量幅度的方法实现重复高精度的测试,为仔细衡量加速度计的性能和应用范围提供一个判据。1. The present invention provides a resolution testing method for accelerometers. It uses an eccentric motor and an optical platform to implement a simple and reliable measurement device. It can achieve the resolution of a high-sensitivity accelerometer without resorting to an expensive and complex precision turntable. Test, and use the method of measuring amplitude to achieve repeated high-precision tests, providing a criterion for carefully measuring the performance and application range of the accelerometer.

2、本发明的测试在光学平台上进行,结构装置简单,成本低廉,可以不借助精密旋转装置即实现小于1ug的极高分辨率,实用性强。2. The test of the present invention is carried out on an optical platform, with simple structure and low cost. It can achieve extremely high resolution of less than 1ug without resorting to precision rotating devices, and has strong practicability.

附图说明Description of the drawings

图1是本发明装置的整体安装图;Figure 1 is an overall installation diagram of the device of the present invention;

图2是本发明方法的测试原理框图。Figure 2 is a test principle block diagram of the method of the present invention.

图中:1、步进电机;2、光学平台;3、固定偏心块;4、可调偏心块;5、步进电机驱动器;6、加速度计;7、信号采集系统;8、终端计算机。In the picture: 1. Stepper motor; 2. Optical platform; 3. Fixed eccentric block; 4. Adjustable eccentric block; 5. Stepper motor driver; 6. Accelerometer; 7. Signal acquisition system; 8. Terminal computer.

具体实施方式Detailed ways

下面结合附图和实施例对本发明作进一步说明:The present invention will be further described below in conjunction with the accompanying drawings and examples:

如图1所示,具体实施中的装置包括偏心模块、信号采集模块、光学平台2、步进电机驱动器5和终端计算机8;光学平台2放置在地面上,两个偏心模块固定安装在光学平台2的上表面,信号采集模块的一端放置在光学平台2上,信号采集模块的另一端和终端计算机8之间电连接,偏心模块的输入端和终端计算机8的输出端之间通过步进电机驱动器5连接。As shown in Figure 1, the device in the specific implementation includes an eccentric module, a signal acquisition module, an optical platform 2, a stepper motor driver 5 and a terminal computer 8; the optical platform 2 is placed on the ground, and the two eccentric modules are fixedly installed on the optical platform 2, one end of the signal acquisition module is placed on the optical platform 2, the other end of the signal acquisition module is electrically connected to the terminal computer 8, and the input end of the eccentric module and the output end of the terminal computer 8 are connected through a stepper motor. Drive 5 is connected.

步进电机驱动器5采用数字式步进电机驱动器;The stepper motor driver 5 adopts a digital stepper motor driver;

偏心模块包括步进电机1、固定偏心块3和可调偏心块4;步进电机1固定安装在光学平台2的上表面,且步进电机1的转轴与光学平台2的上表面垂直,固定偏心块3和可调偏心块4均位于光学平台2的上方,步进电机1转轴的顶端自下而上依次连接在固定偏心块3和可调偏心块4的偏心位置处,步进电机1驱动固定偏心块3和可调偏心块4均绕着步进电机1转轴做匀速圆周运动,步进电机1的脉冲输入端和终端计算机8之间通过步进电机驱动器5连接。The eccentric module includes a stepper motor 1, a fixed eccentric block 3 and an adjustable eccentric block 4; the stepper motor 1 is fixedly installed on the upper surface of the optical platform 2, and the rotating axis of the stepper motor 1 is perpendicular to the upper surface of the optical platform 2 and fixed. The eccentric block 3 and the adjustable eccentric block 4 are both located above the optical platform 2. The top of the rotating shaft of the stepper motor 1 is connected to the eccentric positions of the fixed eccentric block 3 and the adjustable eccentric block 4 from bottom to top. The stepper motor 1 The fixed eccentric block 3 and the adjustable eccentric block 4 are driven to make uniform circular motion around the rotating shaft of the stepper motor 1. The pulse input end of the stepper motor 1 and the terminal computer 8 are connected through the stepper motor driver 5.

固定偏心块3固定连接在步进电机1转轴上,可调偏心块4可沿着步进电机1转轴转动地连接在步进电机1转轴上,使得固定偏心块3和可调偏心块4之间的角度可进行任意改变。The fixed eccentric block 3 is fixedly connected to the rotating shaft of the stepper motor 1, and the adjustable eccentric block 4 is rotatably connected to the rotating shaft of the stepper motor 1, so that the fixed eccentric block 3 and the adjustable eccentric block 4 are connected to each other. The angle between them can be changed arbitrarily.

信号采集模块包括加速度计6和信号采集系统7,加速度计6放置在光学平台2上,加速度计6的输出端和终端计算机8之间通过信号采集系统7连接;The signal acquisition module includes an accelerometer 6 and a signal acquisition system 7. The accelerometer 6 is placed on the optical platform 2, and the output end of the accelerometer 6 and the terminal computer 8 are connected through the signal acquisition system 7;

两个偏心模块以加速度计6的敏感轴为对称轴呈左右对称分布,两个偏心模块中步进电机1的连接线与加速度计6的敏感轴垂直。The two eccentric modules are symmetrically distributed with the sensitive axis of the accelerometer 6 as the symmetrical axis. The connecting line of the stepper motor 1 in the two eccentric modules is perpendicular to the sensitive axis of the accelerometer 6.

步进电机1为整个测试装置提供动力,安装在光学平台2上的步进电机1装载有规格相同的固定偏心块3和可调偏心块4,偏心块3、4旋转产生激振力,令光学平台2产生水平方向上的微弱振动;利用步进电机1使光学平台2水平直线往复振动,只测试沿加速度计6敏感轴方向的加速度输入。两个偏心模块中步进电机1的连接线与加速度计6的敏感轴垂直,使得加速度计6的敏感轴沿着自身轴向做直线往复振动。Stepper motor 1 provides power for the entire test device. Stepper motor 1 installed on optical platform 2 is loaded with fixed eccentric block 3 and adjustable eccentric block 4 with the same specifications. The rotation of eccentric blocks 3 and 4 generates exciting force, so that The optical platform 2 generates weak vibrations in the horizontal direction; the stepper motor 1 is used to make the optical platform 2 vibrate in a horizontal straight line, and only the acceleration input along the sensitive axis of the accelerometer 6 is tested. The connection line of the stepper motor 1 in the two eccentric modules is perpendicular to the sensitive axis of the accelerometer 6, causing the sensitive axis of the accelerometer 6 to vibrate in a straight line along its own axis.

如图1和图2所示,具体实施中,步进电机1安装在光学平台2上,固定偏心块3和可调偏心块4固定在步进电机上1,步进电机1旋转使固定偏心块3和可调偏心块4旋转产生离心力,反作用于步进电机1,步进电机1的振动又带动光学平台2产生振动,两台相同的偏心电机使光学平台2振动沿直线方向,利用数字式步进电机驱动器5控制两台步进电机1以相同转速相反方向运行,加速度计6固定在光学平台上,接收光学平台2加速度信号,信号采集系统7采样加速度输出电信号,在终端计算机8上进行信号处理与评估。As shown in Figures 1 and 2, in the specific implementation, the stepper motor 1 is installed on the optical platform 2, the fixed eccentric block 3 and the adjustable eccentric block 4 are fixed on the stepper motor 1, and the stepper motor 1 rotates to make the fixed eccentric The rotation of block 3 and the adjustable eccentric block 4 generates centrifugal force, which reacts on the stepper motor 1. The vibration of the stepper motor 1 in turn drives the optical platform 2 to vibrate. Two identical eccentric motors make the optical platform 2 vibrate in a linear direction. Using digital The stepper motor driver 5 controls two stepper motors 1 to run in opposite directions at the same speed. The accelerometer 6 is fixed on the optical platform and receives the acceleration signal of the optical platform 2. The signal acquisition system 7 samples the acceleration and outputs an electrical signal, which is processed in the terminal computer 8 signal processing and evaluation.

本发明方法,包括以下步骤:The method of the present invention includes the following steps:

步骤S1)将两个偏心模块以加速度计6敏感轴为对称轴,轴对称地安装在光学平台2上,然后给定初始的目标加速度变化量Δa,并进行步骤S2);Step S1) Install the two eccentric modules on the optical platform 2 axially symmetrically with the sensitive axis of the accelerometer 6 as the symmetry axis, then give the initial target acceleration change Δa, and proceed to step S2);

步骤S2)获得目标夹角下数字电信号正弦分量的幅度:Step S2) Obtain the amplitude of the sinusoidal component of the digital electrical signal at the target angle:

步骤S2.1)给定目标夹角θ,并将固定偏心块3和可调偏心块4之间的夹角调整为目标夹角θ;Step S2.1) Given the target included angle θ, and adjust the included angle between the fixed eccentric block 3 and the adjustable eccentric block 4 to the target included angle θ;

步骤S2.2)在目标夹角下,控制步进电机1转轴旋转,接着光学平台2和加速度计6敏感轴振动,然后利用终端计算机8得到目标夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为初始幅度;Step S2.2) At the target included angle, control the rotation axis of the stepper motor 1 to rotate, then the optical platform 2 and the accelerometer 6 sensitive axes vibrate, and then use the terminal computer 8 to obtain the amplitude of the sinusoidal component of the digital electrical signal at the target included angle, And take the amplitude of the sinusoidal component of the current digital electrical signal as the initial amplitude;

步骤S3)获得调整夹角下数字电信号正弦分量的幅度;Step S3) Obtain the amplitude of the sinusoidal component of the digital electrical signal under the adjusted included angle;

步骤S3.1)根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc,然后调节可调偏心块4的位置,使得固定偏心块3和可调偏心块4之间的夹角变为调整夹角θcStep S3.1) According to the given target acceleration change Δa and the target included angle θ, determine the adjustment angle θ c , and then adjust the position of the adjustable eccentric block 4 so that the gap between the fixed eccentric block 3 and the adjustable eccentric block 4 The included angle becomes the adjusted included angle θ c ;

步骤S3.2)在调整夹角θc下,控制步进电机1转轴旋转,接着光学平台2和加速度计6敏感轴振动,利用终端计算机8得到调整夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为调整幅度;Step S3.2) Under the adjusted included angle θ c , control the rotation of the stepper motor 1 shaft, then the optical platform 2 and the accelerometer 6 sensitive axes vibrate, and use the terminal computer 8 to obtain the amplitude of the sinusoidal component of the digital electrical signal under the adjusted included angle. , and use the amplitude of the sinusoidal component of the current digital electrical signal as the adjustment amplitude;

步骤S3.3)按照以下公式处理得到该调整夹角θc对应的幅度差值:Step S3.3) Process according to the following formula to obtain the amplitude difference corresponding to the adjustment angle θ c :

幅度差值=调整幅度-初始幅度Amplitude difference = adjustment amplitude – initial amplitude

步骤S4)重复多次步骤S2)-步骤S3),获得目标加速度变化量Δa相同时,不同调整夹角θc下的幅度差值,求得所有幅度差值的平均值作为目标加速度变化量Δa对应的目标平均幅度差;Step S4) Repeat steps S2) to step S3) multiple times to obtain the amplitude difference under different adjustment angles θ c when the target acceleration change Δa is the same, and obtain the average of all amplitude differences as the target acceleration change Δa The corresponding target average amplitude difference;

步骤S5)将目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断给定的目标加速度变化量是否达标;Step S5) Compare the target acceleration change Δa with the corresponding target average amplitude difference to determine whether the given target acceleration change reaches the standard;

步骤S6)重新给定目标加速度变化量,然后根据不同的目标加速度变化量Δa重复多次步骤S2)-步骤S5),获得若干个达标的目标加速度变化量,选取达标目标加速度变化量中的最小值作为加速度计6的分辨率。Step S6) Reset the target acceleration change amount, and then repeat steps S2) to step S5) multiple times according to different target acceleration change amounts Δa to obtain several target acceleration change amounts that meet the target, and select the smallest of the target acceleration change amounts that meet the target. The value serves as the resolution of the accelerometer 6.

步骤S2.2)和步骤S3.2)中,在不同角度下,控制步进电机1转轴旋转,接着光学平台2和加速度计6敏感轴振动,然后利用终端计算机8得到不同角度下的数字电信号正弦分量幅度的具体步骤为:In step S2.2) and step S3.2), the stepper motor 1 is controlled to rotate at different angles, and then the optical platform 2 and the accelerometer 6 are sensitive to axis vibration, and then the terminal computer 8 is used to obtain digital electrical signals at different angles. The specific steps for determining the amplitude of the sinusoidal component of a signal are:

首先,终端计算机8通过步进电机驱动器5控制两台步进电机1转轴以方向相反、大小相同的转速运行,步进电机1转轴旋转后带动固定偏心块3和可调偏心块4运动并产生激振力,激振力驱动光学平台2振动,光学平台2振动后带动加速度计6的敏感轴做直线往复振动;First, the terminal computer 8 controls the rotating shafts of the two stepper motors 1 to run in opposite directions and at the same speed through the stepper motor driver 5. After the rotating shaft of the stepper motor 1 rotates, it drives the fixed eccentric block 3 and the adjustable eccentric block 4 to move and generate The exciting force drives the optical platform 2 to vibrate. After the optical platform 2 vibrates, it drives the sensitive axis of the accelerometer 6 to vibrate in a straight line;

同时,调控步进电机1的转速使得加速度计6直线往复振动的加速度信号正弦分量的频率为f;At the same time, the speed of the stepper motor 1 is adjusted so that the frequency of the sinusoidal component of the acceleration signal of the linear reciprocating vibration of the accelerometer 6 is f;

接着,加速度计6将直线往复振动下的加速度信号转换为模拟电信号,并输入到信号采集系统7中,信号采集系统7将输入的模拟电信号转换为数字电信号传输到终端计算机8中,利用终端计算机8处理分离出数字电信号中频率为f的信号正弦分量,获得当前角度下,加速度信号正弦分量的频率为f时,对应的数字电信号正弦分量的幅度。Then, the accelerometer 6 converts the acceleration signal under linear reciprocating vibration into an analog electrical signal, and inputs it into the signal acquisition system 7. The signal acquisition system 7 converts the input analog electrical signal into a digital electrical signal and transmits it to the terminal computer 8. The terminal computer 8 is used to process and separate the sinusoidal component of the signal with frequency f in the digital electrical signal, and obtain the amplitude of the corresponding sinusoidal component of the digital electrical signal when the frequency of the sinusoidal component of the acceleration signal is f at the current angle.

步骤S3.1)中,根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc的具体步骤为:In step S3.1), according to the given target acceleration change Δa and the target included angle θ, the specific steps to determine the adjustment of the included angle θ c are:

调整夹角θc按照以下公式处理得到:The adjustment angle θ c is obtained according to the following formula:

θc=θ+Δθθ c =θ + Δθ

其中,Δθ为目标夹角增量,a为目标夹角θ下加速度计(6)敏感轴做直线往复振动的加速度信号a正弦分量的幅度,Δa为给定的目标加速度变化量,θ为给定的目标夹角。Among them, Δθ is the target angle increment, a is the amplitude of the sinusoidal component of the acceleration signal a when the sensitive axis of the accelerometer (6) vibrates in a straight line at the target angle θ, Δa is the given target acceleration change, and θ is the given fixed target angle.

步骤S5)的具体操作:Specific operations of step S5):

将步骤S4)获得的目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断目标加速度变化量Δa是否达标:Compare the target acceleration change Δa obtained in step S4) with the corresponding target average amplitude difference to determine whether the target acceleration change Δa reaches the standard:

若50%<对应的目标平均幅度差/目标加速度变化量<150%,则表明该目标加速度变化量达标;If 50%<corresponding target average amplitude difference/target acceleration change<150%, it means that the target acceleration change reaches the standard;

否则,则表明该目标加速度变化量不达标;Otherwise, it means that the target acceleration change does not meet the standard;

其中,目标加速度变化量Δa取整数。Among them, the target acceleration change amount Δa is an integer.

步骤S6)的具体操作为:The specific operations of step S6) are:

步骤S6.1)判断给定的初始目标加速度变化量是否达标:Step S6.1) Determine whether the given initial target acceleration change reaches the standard:

若达标,则转至步骤S6.2);If the standard is met, go to step S6.2);

否则,则转至步骤S6.3);Otherwise, go to step S6.3);

步骤S6.2)给定一个新的目标加速度变化量ΔaiStep S6.2) Given a new target acceleration change Δa i :

Δai=Δa-iΔa i =Δa-i

其中,下标i表示循环次数,Δa表示初始设定的目标加速度变化量;Among them, the subscript i represents the number of cycles, and Δa represents the initial set target acceleration change;

不断减小并更新目标加速度变化量的值,即当初始的目标加速度变化量给定100时,接下来给定的加速度变化量依次为99、98、97,以此类推;Continuously reduce and update the value of the target acceleration change, that is, when the initial target acceleration change is given as 100, the next given acceleration change is 99, 98, 97, and so on;

将更新后的目标加速度变化量代入步骤S2)-步骤S5)进行测试,并判断该目标加速度变化量是否达标;直到目标加速度变化量变为不达标,结束测试,将最后一次达标的目标加速度变化量作为加速度计6的分辨率。Substitute the updated target acceleration change amount into steps S2) to step S5) for testing, and determine whether the target acceleration change amount reaches the standard; until the target acceleration change amount becomes unqualified, the test ends, and the last target acceleration change amount that meets the standard is as the resolution of the accelerometer 6.

步骤S6.3)给定一个新的目标加速度变化量ΔaiStep S6.3) Given a new target acceleration change Δa i :

Δai=Δa-iΔa i =Δa-i

不断增大并更新目标加速度变化量的值,即当初始的目标加速度变化量给定100时,接下来给定的加速度变化量依次为101、102、103,以此类推;Continuously increase and update the value of the target acceleration change, that is, when the initial target acceleration change is given as 100, the next given acceleration changes are 101, 102, 103, and so on;

将更新后的目标加速度变化量代入步骤S2)-步骤S5)进行测试,并判断该目标加速度变化量是否达标;直到目标加速度变化量变为达标,结束测试,将该次达标的目标加速度变化量作为加速度计6的分辨率。Substitute the updated target acceleration change amount into steps S2) to step S5) for testing, and determine whether the target acceleration change amount reaches the standard; until the target acceleration change amount reaches the standard, the test ends, and the target acceleration change amount that reaches the standard is taken as Accelerometer 6 resolution.

步进电机1产生的激振力大小按照以下公式处理得到:The excitation force generated by stepper motor 1 is calculated according to the following formula:

其中,m为单个固定偏心块3和单个可调偏心块4的质量之和,r为固定偏心块3/可调偏心块4的质心与步进电机1转轴之间的距离,ω为转轴转动角速度,θp为固定偏心块3和可调偏心块4之间的实际夹角。Among them, m is the sum of the masses of a single fixed eccentric block 3 and a single adjustable eccentric block 4, r is the distance between the center of mass of the fixed eccentric block 3/adjustable eccentric block 4 and the rotating shaft of the stepper motor 1, and ω is the rotation of the rotating shaft. Angular velocity, θ p is the actual angle between the fixed eccentric block 3 and the adjustable eccentric block 4.

具体实施中,θp为目标夹角θ或调整夹角θc;固定偏心块3和可调偏心块4的尺寸、型号、质量均相同,固定偏心块3和可调偏心块4的质心分别与步进电机1转轴之间的距离也相同。In the specific implementation, θ p is the target angle θ or the adjustment angle θ c ; the size, model and quality of the fixed eccentric block 3 and the adjustable eccentric block 4 are the same, and the centers of mass of the fixed eccentric block 3 and the adjustable eccentric block 4 are respectively The distance from the stepper motor 1 axis is also the same.

目标夹角θ下,加速度计6敏感轴做直线往复振动的加速度信号正弦分量a按照以下公式处理得到:At the target angle θ, the sinusoidal component a of the acceleration signal of the 6-sensitive axis of the accelerometer undergoing linear reciprocating vibration is processed according to the following formula:

其中,M为光学平台2的总质量,m为单个固定偏心块3和单个可调偏心块4的质量之和,r为固定偏心块3的质心与步进电机1转轴之间的距离,ω为转轴转动角速度,θ为目标夹角,t为转轴转动时间,为固定偏心块3和可调偏心块4角平分线与加速度计6敏感轴之间的夹角,η为直线往复振动的加速度信号正弦分量的频率f下的光学平台2水平振动隔振效率。Among them, M is the total mass of the optical platform 2, m is the sum of the masses of a single fixed eccentric block 3 and a single adjustable eccentric block 4, r is the distance between the center of mass of the fixed eccentric block 3 and the rotation axis of the stepper motor 1, ω is the rotation angular velocity of the rotating shaft, θ is the target angle, t is the rotation time of the rotating shaft, is the angle between the angular bisectors of the fixed eccentric block 3 and the adjustable eccentric block 4 and the sensitive axis of the accelerometer 6, eta is the horizontal vibration isolation efficiency of the optical platform 2 at the frequency f of the sinusoidal component of the acceleration signal of linear reciprocating vibration.

Claims (9)

1.一种利用双偏心电机激振力的加速度计分辨率测试装置,其特征在于:1. An accelerometer resolution testing device using the excitation force of a double eccentric motor, which is characterized by: 包括偏心模块、信号采集模块、光学平台(2)、步进电机驱动器(5)和终端计算机(8);光学平台(2)放置在地面上,两个偏心模块固定安装在光学平台(2)的上表面,信号采集模块的一端放置在光学平台(2)上,信号采集模块的另一端和终端计算机(8)之间电连接,偏心模块的输入端和终端计算机(8)的输出端之间通过步进电机驱动器(5)连接。It includes an eccentric module, a signal acquisition module, an optical platform (2), a stepper motor driver (5) and a terminal computer (8); the optical platform (2) is placed on the ground, and the two eccentric modules are fixedly installed on the optical platform (2) On the upper surface of the module, one end of the signal acquisition module is placed on the optical platform (2), the other end of the signal acquisition module is electrically connected to the terminal computer (8), and the input end of the eccentric module is connected to the output end of the terminal computer (8). are connected through the stepper motor driver (5). 2.根据权利要求1所述的一种利用双偏心电机激振力的加速度计分辨率测试装置,其特征在于:所述的偏心模块包括步进电机(1)、固定偏心块(3)和可调偏心块(4);步进电机(1)固定安装在光学平台(2)的上表面,且步进电机(1)的转轴与光学平台(2)的上表面垂直,固定偏心块(3)和可调偏心块(4)均位于光学平台(2)的上方,步进电机(1)转轴的顶端连接在固定偏心块(3)和可调偏心块(4)的偏心位置处,固定偏心块(3)和可调偏心块(4)均绕着步进电机(1)转轴做匀速圆周运动,步进电机(1)的脉冲输入端和终端计算机(8)之间通过步进电机驱动器(5)连接。2. An accelerometer resolution testing device utilizing the excitation force of a double eccentric motor according to claim 1, characterized in that: the eccentric module includes a stepper motor (1), a fixed eccentric block (3) and Adjustable eccentric block (4); the stepper motor (1) is fixedly installed on the upper surface of the optical platform (2), and the rotating axis of the stepper motor (1) is perpendicular to the upper surface of the optical platform (2), and the fixed eccentric block ( 3) and the adjustable eccentric block (4) are located above the optical platform (2), and the top of the rotating shaft of the stepper motor (1) is connected to the eccentric position of the fixed eccentric block (3) and the adjustable eccentric block (4). Both the fixed eccentric block (3) and the adjustable eccentric block (4) make uniform circular motion around the rotating shaft of the stepper motor (1). The pulse input end of the stepper motor (1) and the terminal computer (8) are connected by a stepper Motor driver (5) connection. 3.根据权利要求2所述的一种利用双偏心电机激振力的加速度计分辨率测试装置,其特征在于:所述的信号采集模块包括加速度计(6)和信号采集系统(7),加速度计(6)放置在光学平台(2)上,加速度计(6)的输出端和终端计算机(8)之间通过信号采集系统(7)连接;3. An accelerometer resolution testing device utilizing the excitation force of a double eccentric motor according to claim 2, characterized in that: the signal acquisition module includes an accelerometer (6) and a signal acquisition system (7), The accelerometer (6) is placed on the optical platform (2), and the output end of the accelerometer (6) and the terminal computer (8) are connected through the signal acquisition system (7); 两个偏心模块以加速度计(6)的敏感轴为对称轴呈对称分布,两个偏心模块中步进电机(1)的连接线与加速度计(6)的敏感轴垂直。The two eccentric modules are symmetrically distributed with the sensitive axis of the accelerometer (6) as the symmetrical axis, and the connection line of the stepper motor (1) in the two eccentric modules is perpendicular to the sensitive axis of the accelerometer (6). 4.一种应用于权利要求1-3任一所述装置的利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于,包括以下步骤:4. An accelerometer resolution testing method using the excitation force of a double eccentric motor applied to the device of any one of claims 1 to 3, characterized in that it includes the following steps: 步骤S1)将两个偏心模块以加速度计(6)敏感轴为对称轴,轴对称地安装在光学平台(2)上,然后给定目标加速度变化量Δa;Step S1) Install the two eccentric modules on the optical platform (2) axially symmetrically with the sensitive axis of the accelerometer (6) as the symmetry axis, and then set the target acceleration change amount Δa; 步骤S2)获得目标夹角下数字电信号正弦分量的幅度:Step S2) Obtain the amplitude of the sinusoidal component of the digital electrical signal at the target angle: 步骤S2.1)给定目标夹角θ,并将固定偏心块(3)和可调偏心块(4)之间的夹角调整为目标夹角θ;Step S2.1) Given the target included angle θ, and adjust the angle between the fixed eccentric block (3) and the adjustable eccentric block (4) to the target included angle θ; 步骤S2.2)在目标夹角下,控制步进电机(1)转轴旋转,接着光学平台(2)和加速度计(6)敏感轴振动,然后利用终端计算机(8)得到目标夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为初始幅度;Step S2.2) Under the target included angle, control the stepper motor (1) shaft to rotate, then the optical platform (2) and accelerometer (6) sensitive shaft vibration, and then use the terminal computer (8) to obtain the target included angle The amplitude of the sinusoidal component of the digital electrical signal, and the amplitude of the sinusoidal component of the current digital electrical signal is used as the initial amplitude; 步骤S3)获得调整夹角下数字电信号正弦分量的幅度:Step S3) Obtain the amplitude of the sinusoidal component of the digital electrical signal under the adjusted angle: 步骤S3.1)根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc,然后调节可调偏心块(4)的位置,使得固定偏心块(3)和可调偏心块(4)之间的夹角变为调整夹角θcStep S3.1) According to the given target acceleration change Δa and the target included angle θ, determine the adjustment angle θ c , and then adjust the position of the adjustable eccentric block (4) so that the fixed eccentric block (3) and the adjustable eccentric The angle between the blocks (4) becomes the adjustment angle θ c ; 步骤S3.2)在调整夹角θc下,控制步进电机(1)转轴旋转,接着光学平台(2)和加速度计(6)敏感轴振动,利用终端计算机(8)得到调整夹角下的数字电信号正弦分量的幅度,并将当前数字电信号正弦分量的幅度作为调整幅度;Step S3.2) Under the adjusted included angle θ c , control the rotation of the stepper motor (1) shaft, and then the optical platform (2) and accelerometer (6) are sensitive to shaft vibration, and use the terminal computer (8) to obtain the adjusted included angle. The amplitude of the sinusoidal component of the digital electrical signal, and the amplitude of the sinusoidal component of the current digital electrical signal is used as the adjustment amplitude; 步骤S3.3)按照以下公式处理得到该调整夹角θc下的幅度差值:Step S3.3) Process according to the following formula to obtain the amplitude difference at the adjustment angle θ c : 幅度差值=调整幅度-初始幅度Amplitude difference = adjustment amplitude – initial amplitude 步骤S4)重复多次步骤S2)-步骤S3),获得不同调整夹角θc下的幅度差值,求得所有幅度差值的平均值作为目标加速度变化量Δa对应的目标平均幅度差;Step S4) Repeat steps S2) to step S3) multiple times to obtain amplitude differences under different adjustment angles θ c , and obtain the average of all amplitude differences as the target average amplitude difference corresponding to the target acceleration change Δa; 步骤S5)将目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断给定的目标加速度变化量是否为达标的目标加速度变化量;Step S5) Compare the target acceleration change amount Δa with the corresponding target average amplitude difference to determine whether the given target acceleration change amount is the target acceleration change amount that meets the standard; 步骤S6)重复多次步骤S1)-步骤S5),获得若干个达标的目标加速度变化量,选取达标目标加速度变化量中的最小值作为加速度计(6)的分辨率。Step S6) Repeat steps S1) to step S5) multiple times to obtain several target acceleration changes, and select the minimum value among the target acceleration changes as the resolution of the accelerometer (6). 5.根据权利要求4所述的一种利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于:所述步骤S2.2)和步骤S3.2)中,控制步进电机(1)转轴旋转,接着光学平台(2)和加速度计(6)敏感轴振动,然后利用终端计算机(8)得到数字电信号正弦分量幅度的具体步骤为:5. A kind of accelerometer resolution testing method utilizing the excitation force of a double eccentric motor according to claim 4, characterized in that: in the steps S2.2) and S3.2), the stepper motor ( 1) The rotating shaft rotates, then the optical platform (2) and the accelerometer (6) sensitive shaft vibrates, and then the specific steps of using the terminal computer (8) to obtain the amplitude of the sinusoidal component of the digital electrical signal are: 首先,终端计算机(8)通过步进电机驱动器(5)控制两台步进电机(1)转轴以方向相反、大小相同的转速运行,步进电机(1)转轴旋转后带动固定偏心块(3)和可调偏心块(4)运动并产生激振力,激振力驱动光学平台(2)振动,光学平台(2)振动后带动加速度计(6)的敏感轴做直线往复振动;First, the terminal computer (8) controls the rotating shafts of the two stepper motors (1) to run in opposite directions and at the same speed through the stepper motor driver (5). After the rotating shaft of the stepper motor (1) rotates, it drives the fixed eccentric block (3 ) and the adjustable eccentric block (4) move and generate an exciting force. The exciting force drives the optical platform (2) to vibrate. After the optical platform (2) vibrates, it drives the sensitive axis of the accelerometer (6) to vibrate in a straight line; 接着,加速度计(6)将直线往复振动下的加速度信号转换为模拟电信号,并输入到信号采集系统(7)中,信号采集系统(7)将输入的模拟电信号转换为数字电信号传输到终端计算机(8)中,利用终端计算机(8)处理分离出数字电信号中的信号正弦分量,获得当前角度下,对应的数字电信号正弦分量的幅度。Then, the accelerometer (6) converts the acceleration signal under linear reciprocating vibration into an analog electrical signal, and inputs it into the signal acquisition system (7). The signal acquisition system (7) converts the input analog electrical signal into a digital electrical signal for transmission In the terminal computer (8), the terminal computer (8) is used to process and separate the signal sinusoidal component in the digital electrical signal, and obtain the amplitude of the corresponding sinusoidal component of the digital electrical signal at the current angle. 6.根据权利要求4所述的一种利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于:所述步骤S3.1)中,根据给定的目标加速度变化量Δa和目标夹角θ,确定调整夹角θc的具体步骤为:6. A kind of accelerometer resolution testing method utilizing the excitation force of a double eccentric motor according to claim 4, characterized in that: in step S3.1), according to the given target acceleration change amount Δa and the target The included angle θ, the specific steps to determine and adjust the included angle θ c are: 调整夹角θc按照以下公式处理得到:The adjustment angle θ c is obtained according to the following formula: θc=θ+Δθθ c =θ + Δθ 其中,Δθ为目标夹角增量,A为目标夹角θ下加速度信号a正弦分量的幅度,Δa为给定的目标加速度变化量,θ为给定的目标夹角。Among them, Δθ is the target angle increment, A is the amplitude of the sinusoidal component of the acceleration signal a at the target angle θ, Δa is the given target acceleration change, and θ is the given target angle. 7.根据权利要求4所述的一种利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于:所述步骤S5)的具体操作为:7. A kind of accelerometer resolution testing method utilizing the excitation force of a double eccentric motor according to claim 4, characterized in that: the specific operation of step S5) is: 步骤S5.1)将步骤S4)获得的目标加速度变化量Δa和对应的目标平均幅度差进行对比,判断目标加速度变化量Δa是否达标:Step S5.1) Compare the target acceleration change Δa obtained in step S4) with the corresponding target average amplitude difference to determine whether the target acceleration change Δa reaches the standard: 若50%<目标平均幅度差/目标加速度变化量<150%,则表明该目标加速度变化量为达标的目标加速度变化量;If 50%<target average amplitude difference/target acceleration change<150%, it means that the target acceleration change is the target acceleration change that meets the standard; 否则,则表明该目标加速度变化量为不达标的目标加速度变化量;Otherwise, it means that the target acceleration change amount is a target acceleration change amount that does not meet the standard; 所述的目标加速度变化量Δa取整数。The target acceleration change amount Δa is an integer. 8.根据权利要求5所述的一种利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于:所述步进电机(1)产生的激振力大小按照以下公式处理得到:8. An accelerometer resolution testing method using the excitation force of a double eccentric motor according to claim 5, characterized in that: the excitation force generated by the stepper motor (1) is processed according to the following formula: 其中,m为单个固定偏心块(3)和单个可调偏心块(4)的质量之和,r为固定偏心块(3)的质心与步进电机(1)转轴之间的距离,ω为转轴转动角速度,θp为固定偏心块(3)和可调偏心块(4)之间的实际夹角。Among them, m is the sum of the masses of a single fixed eccentric block (3) and a single adjustable eccentric block (4), r is the distance between the center of mass of the fixed eccentric block (3) and the rotating shaft of the stepper motor (1), and ω is The angular velocity of the rotating shaft, θ p, is the actual angle between the fixed eccentric block (3) and the adjustable eccentric block (4). 9.根据权利要求6所述的一种利用双偏心电机激振力的加速度计分辨率测试方法,其特征在于:所述目标夹角θ下,加速度计(6)敏感轴做直线往复振动的加速度信号a按照以下公式处理得到:9. An accelerometer resolution testing method using the excitation force of a double eccentric motor according to claim 6, characterized in that: at the target angle θ, the sensitive axis of the accelerometer (6) vibrates in a straight line. The acceleration signal a is processed according to the following formula: 其中,M为光学平台(2)的总质量,m为单个固定偏心块(3)和单个可调偏心块(4)的质量之和,r为固定偏心块(3)的质心与步进电机(1)转轴之间的距离,ω为转轴转动角速度,θ为目标夹角,t为转轴转动时间,为固定偏心块(3)和可调偏心块(4)角平分线与加速度计(6)敏感轴之间的夹角,η为直线往复振动的加速度信号正弦分量的频率下的光学平台(2)水平振动隔振效率。Among them, M is the total mass of the optical table (2), m is the sum of the masses of a single fixed eccentric block (3) and a single adjustable eccentric block (4), r is the center of mass of the fixed eccentric block (3) and the stepper motor (1) The distance between the rotating shafts, ω is the angular velocity of the rotating shafts, θ is the target angle, t is the rotation time of the rotating shafts, is the angle between the angular bisector of the fixed eccentric block (3) and the adjustable eccentric block (4) and the sensitive axis of the accelerometer (6), eta is the optical platform (2) at the frequency of the sinusoidal component of the acceleration signal of linear reciprocating vibration ) Horizontal vibration isolation efficiency.
CN202310922627.1A 2023-07-26 2023-07-26 Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors Pending CN116953288A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202310922627.1A CN116953288A (en) 2023-07-26 2023-07-26 Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202310922627.1A CN116953288A (en) 2023-07-26 2023-07-26 Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors

Publications (1)

Publication Number Publication Date
CN116953288A true CN116953288A (en) 2023-10-27

Family

ID=88461504

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202310922627.1A Pending CN116953288A (en) 2023-07-26 2023-07-26 Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors

Country Status (1)

Country Link
CN (1) CN116953288A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117990946A (en) * 2024-04-07 2024-05-07 浙江大学 High-precision accelerometer resolution testing device and method based on amplitude modulation

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117990946A (en) * 2024-04-07 2024-05-07 浙江大学 High-precision accelerometer resolution testing device and method based on amplitude modulation

Similar Documents

Publication Publication Date Title
TW468035B (en) Micro inertial measurement unit
CN204831330U (en) Three -axle table's attitude sensor test system
CN105628976B (en) MEMS acceleration transducers performance parameter calibration method, processor and system
CN111121819B (en) Measurement method of angular displacement error of silicon micro-gyroscope in vibration state
CN112747731A (en) Five-mass-block double-axis detection silicon micro-resonant gyroscope based on out-of-plane vibration
US20030115958A1 (en) Method of measuring the unbalance of rotors, particularly of turbines for motor-vehicle turbochargers
CN116953288A (en) Accelerometer resolution testing device and method utilizing excitation force of double eccentric motors
CN110672268B (en) A high-precision mass center inertia measurement system and measurement method for a small aircraft
CN115931009B (en) Inertial device centrifugal measurement method based on gyroscope and laser ranging
CN114152380A (en) Quick-response second-stage pendulum device for micro-Newton thrust test
CN113800467A (en) Inertia testing device for inertia device of micro-electro-mechanical system
CN110542430B (en) Large dynamic performance testing device and method for inertial measurement unit
CN115079737B (en) Gravitational acceleration modulation device and method
JP5697149B2 (en) Acceleration sensor characteristic evaluation method and program
CN110926444A (en) Vibration non-sensitive silicon micro-electromechanical gyroscope
CN117990946B (en) High-precision accelerometer resolution test device and method based on amplitude modulation
CN116500301A (en) Device and method for calibrating resolution of accelerometer
CN112082575B (en) Test device and method for testing influence of acceleration on tilt angle sensor
CN115616247A (en) High-precision accelerometer calibration device and method based on rotating mass demodulation
CN114152271A (en) Multi-axis integrated micro-electro-mechanical system inertial device testing device, system and method
RU2568956C1 (en) Method to calibrate angular acceleration sensor
RU2519833C2 (en) Calibration method of piezoelectric accelerometer at lower frequencies, and device for its implementation
RU2515353C1 (en) Pendulum low-frequency vibration bench
US3336806A (en) Gravity meter
CN109186912A (en) Mechanical arm damping test device based on camera

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination