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CN115079737B - Gravitational acceleration modulation device and method - Google Patents

Gravitational acceleration modulation device and method Download PDF

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CN115079737B
CN115079737B CN202210860338.9A CN202210860338A CN115079737B CN 115079737 B CN115079737 B CN 115079737B CN 202210860338 A CN202210860338 A CN 202210860338A CN 115079737 B CN115079737 B CN 115079737B
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particle
flywheel
module
vacuum
modulation
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CN115079737A (en
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陈志明
刘承
祝训敏
熊芳
刘瑞
高晓文
傅振海
李楠
胡慧珠
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Zhejiang University ZJU
Zhejiang Lab
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Zhejiang Lab
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D13/00Control of linear speed; Control of angular speed; Control of acceleration or deceleration, e.g. of a prime mover
    • G05D13/62Control of linear speed; Control of angular speed; Control of acceleration or deceleration, e.g. of a prime mover characterised by the use of electric means, e.g. use of a tachometric dynamo, use of a transducer converting an electric value into a displacement
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K7/00Arrangements for handling mechanical energy structurally associated with dynamo-electric machines, e.g. structural association with mechanical driving motors or auxiliary dynamo-electric machines
    • H02K7/02Additional mass for increasing inertia, e.g. flywheels

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Abstract

本发明公开了一种引力加速度调制装置及方法。引力加速度调制装置,包括微粒、调制模块、真空模块、捕获模块、探测模块;调制模块包括顺次相连的飞轮、旋转轴、联轴器、减速器、电机、三轴精密位移台、电机支座;其中电机通过减速器和联轴器带动飞轮周期性的相对位置运动,实现对力或加速度调制;真空模块用于提供超高真空环境;捕获模块利用磁场、光场或电场捕获微粒;探测模块用于探测微粒的运动信息;调制模块、捕获模块整体安装在真空模块内。本发明利用万有引力定力定律,免去质量误差带来的影响,设计了飞轮结构,可实现微粒信号的二倍频调制,避免了电机本身固有频率噪声的影响,实现对引力加速度标定,可应用在量子传感、精密测量等领域。

Figure 202210860338

The invention discloses a gravitational acceleration modulation device and method. The gravitational acceleration modulation device includes particles, modulation module, vacuum module, capture module, and detection module; the modulation module includes sequentially connected flywheels, rotating shafts, couplings, reducers, motors, three-axis precision translation platforms, and motor supports ; The motor drives the flywheel to periodically move relative to the position through the reducer and the coupling to realize force or acceleration modulation; the vacuum module is used to provide an ultra-high vacuum environment; the capture module uses a magnetic field, light field or electric field to capture particles; the detection module It is used to detect the motion information of particles; the modulation module and the capture module are integrally installed in the vacuum module. The invention utilizes the law of universal gravitation to avoid the influence of mass error, and designs a flywheel structure, which can realize the double frequency modulation of the particle signal, avoid the influence of the inherent frequency noise of the motor itself, and realize the calibration of gravitational acceleration, which can be applied In quantum sensing, precision measurement and other fields.

Figure 202210860338

Description

引力加速度调制装置及方法Gravitational acceleration modulation device and method

技术领域technical field

本发明涉及引力或加速度调制标定技术领域,具体为一种引力加速度调制装置及方法。The invention relates to the technical field of gravity or acceleration modulation calibration, in particular to a gravitational acceleration modulation device and method.

背景技术Background technique

在微弱力与加速度传感应用中,处于低压气体中的光镊技术和磁悬浮技术可测量极微弱力和加速度,因而在非牛顿引力验证、超精准导航等领域中有重要需求,目前已经实现ng级精密测量。现有的角加速度旋转调制机构通常需要基座上的电机提供高频抖动驱动,这种驱动方式就有反作用力矩直接作用在基座上,使得平台难以保持稳定精度,进而导致测量标定误差。目前有提出的在基座力矩电机通过转轴驱动台体整体匀速旋转的同时,两个同惯量的旋转台体间通过电磁装置驱动形成周期性的相对角位置转动,实现角加速度调制,两个运动台体具有数值相同且方向相反的角动量变化量,其合成角动量变化量接近于零,这使得台体整体相对于对基座的反作用力矩也接近于为零,进而抑制因角加速度调制产生的反作用力矩(CN104578570A—一种动力学扰动旋转调制机构)。有的采用称重测量标定,首先准备标准体,然后对质心测试重新标定,再对称重传感器的信号经过综合测试处理后,已经变成了数字信号,在称重传感器受力以后控制系统中显示的测试数据只要乘以一个系数就能等于传感器受力的大小,称这个系数为传感器的传递系数,记作K。质心测量是通过称重传感器读数分析前后受力大小得到的,传感器系数K与重力加速度无关,质心测量也与重力加速度无关,实际操作的时候只要标定过程和产品测量过程在同一个地点,不用考虑重力加速度的影响(CN105092010A—一种称重传感器系数及重力加速度标定方法)。一种纳牛级弱力标定装置,用于对水平轴摆式弱力测试台进行高精度实时标定,其工作原理表达式为

Figure 780819DEST_PATH_IMAGE001
,首先通过微位移调节机构将标定物体两次加载在标定臂上的不同V型凹槽,通过位移/角度传感器测量的两次摆臂与初始平衡位置相比的偏转角度的差值Δθ,通过计算标定力系数k,标定完成后取走标定物体,摆臂回到初始平衡位置;然后通过待测微推进器产生推力F x ,通过位移/角度传感器测量摆臂与初始平衡位置相比的偏转角度Δθ x ,通过计算的标定力系数k,从而实现对待测推力F x 的标定(CN216207186U—一种纳牛级弱力标定装置)。In the application of weak force and acceleration sensing, optical tweezers technology and magnetic levitation technology in low-pressure gas can measure extremely weak force and acceleration, so there is an important demand in the fields of non-Newtonian gravity verification and ultra-precise navigation. Currently, ng level precision measurement. The existing angular acceleration rotation modulation mechanism usually requires the motor on the base to provide high-frequency jitter drive. In this driving mode, the reaction torque directly acts on the base, making it difficult for the platform to maintain stable accuracy, which in turn leads to measurement calibration errors. At present, it has been proposed that when the base torque motor drives the overall uniform rotation of the platform through the rotating shaft, two rotating platforms with the same inertia are driven by an electromagnetic device to form a periodic relative angular position rotation to realize angular acceleration modulation. The platform has angular momentum changes with the same value and opposite directions, and its synthetic angular momentum variation is close to zero, which makes the reaction torque of the platform as a whole relative to the base also close to zero, thereby suppressing the generation of angular momentum caused by angular acceleration modulation. The reaction torque (CN104578570A—a dynamic disturbance rotation modulation mechanism). Some use weighing measurement calibration, first prepare the standard body, then re-calibrate the center of mass test, and then the signal of the load cell has been processed through comprehensive testing, and has become a digital signal, which is displayed in the control system after the load cell is stressed The test data can be equal to the force of the sensor by multiplying it by a coefficient. This coefficient is called the transfer coefficient of the sensor and is recorded as K. The center of mass measurement is obtained by analyzing the force before and after the reading of the load cell. The sensor coefficient K has nothing to do with the acceleration of gravity, and the measurement of the center of mass has nothing to do with the acceleration of gravity. In actual operation, as long as the calibration process and the product measurement process are at the same place, there is no need to consider Influence of gravitational acceleration (CN105092010A—a weighing sensor coefficient and gravitational acceleration calibration method). A nano-level weak-force calibration device is used for high-precision real-time calibration of horizontal-axis pendulum-type weak-force test benches. The expression of its working principle is
Figure 780819DEST_PATH_IMAGE001
, first, the calibration object is loaded twice on different V-shaped grooves on the calibration arm through the micro-displacement adjustment mechanism, and the difference Δ θ between the deflection angles of the two swing arms compared with the initial equilibrium position measured by the displacement/angle sensor, By calculating the calibration force coefficient k, the calibration object is removed after the calibration is completed, and the swing arm returns to the initial equilibrium position; then the thrust F x is generated by the micro-propeller to be tested, and the displacement/angle sensor is used to measure the swing arm compared with the initial equilibrium position The deflection angle Δ θ x , through the calculation of the calibration force coefficient k, thereby realizing the calibration of the thrust F x to be measured (CN216207186U—a nano-level weak force calibration device).

现有引力或加速度调制方法中,调制装置的测量旋转台体有转动惯量误差,称重测量标定的质量也会有质量误差,电机高频抖动驱动也会带来振动误差,对给标定带来较大的误差。In the existing gravitational or acceleration modulation methods, the measuring rotary table of the modulation device has a moment of inertia error, and the mass of the weighing measurement calibration will also have a mass error, and the high-frequency jitter drive of the motor will also bring vibration errors, which will bring to the calibration. large error.

发明内容Contents of the invention

为了克服现有技术的不足,本发明提出了一种引力加速度调制装置及方法,可追溯到万有引力定律,万有引力定律是目前已知的最精确的力源,理论上与温度、振动、电磁场没有耦合效应,可信度较高;无需引入电磁场,操作简单,未知系统误差较小。In order to overcome the deficiencies of the prior art, the present invention proposes a gravitational acceleration modulation device and method, which can be traced back to the law of universal gravitation, which is the most accurate force source known at present, and has no coupling with temperature, vibration and electromagnetic field in theory Effect, high reliability; no need to introduce electromagnetic field, simple operation, small unknown system error.

本发明实现其发明目的的技术方案如下:The technical scheme that the present invention realizes its object of invention is as follows:

一种引力加速度调制装置,包括微粒、调制模块、真空模块、捕获模块、探测模块;A gravitational acceleration modulation device, including particles, a modulation module, a vacuum module, a capture module, and a detection module;

其中所述调制模块包括顺次相连的飞轮、旋转轴、联轴器、减速器、电机、三轴精密位移台、电机支座;其中电机通过减速器和联轴器带动飞轮周期性的相对位置运动,实现对力或加速度调制;The modulation module includes a flywheel, a rotating shaft, a coupling, a reducer, a motor, a three-axis precision displacement table, and a motor support connected in sequence; the motor drives the periodic relative position of the flywheel through the reducer and the coupling Motion to realize force or acceleration modulation;

所述的真空模块用于提供超高真空环境;The vacuum module is used to provide an ultra-high vacuum environment;

所述的捕获模块利用磁场、光场或电场捕获微粒;The capture module uses a magnetic field, an optical field or an electric field to capture particles;

所述的探测模块用于探测微粒的运动信息;The detection module is used to detect motion information of particles;

所述调制模块、捕获模块整体安装在真空模块内。The modulation module and capture module are integrally installed in the vacuum module.

所述真空模块包括真空腔、真空管、真空泵、真空规,真空泵与波纹管连接,波纹管与真空腔连接,真空规与真空腔连接,其中真空泵对真空腔抽真空,真空规实时测量真空腔内的真空度。The vacuum module includes a vacuum chamber, a vacuum tube, a vacuum pump, and a vacuum gauge. The vacuum pump is connected to the bellows, the bellows is connected to the vacuum chamber, and the vacuum gauge is connected to the vacuum chamber. of vacuum.

所述探测模块在光路上依次包括激光器、光束调节透镜、反射镜、汇聚透镜、半波片、偏振分光片、探测器,通过激光器照射微粒,微粒散射光通过汇聚透镜、半波片、偏振分光片,最后到探测器检测微粒的运动信息。The detection module sequentially includes a laser, a beam adjustment lens, a reflector, a converging lens, a half-wave plate, a polarization beam splitter, and a detector on the optical path. The particles are irradiated by the laser, and the scattered light of the particles passes through the converging lens, the half-wave plate, and the polarization beam splitter. slice, and finally to the detector to detect the motion information of the particles.

所述飞轮采用不锈钢、金、银、铜金属材料;所述飞轮为轴对称结构,包括跑道型结构、哑铃型结构。The flywheel is made of stainless steel, gold, silver, and copper metal materials; the flywheel is an axisymmetric structure, including a track-shaped structure and a dumbbell-shaped structure.

所述捕获模块从下到上依次包括底座、支架、抗磁悬浮结构,用于通过磁力悬浮形成磁势阱对微粒进行悬浮。The capture module includes a base, a support, and an anti-magnetic levitation structure in order from bottom to top, and is used to levitate particles by forming a magnetic potential well through magnetic levitation.

所述微粒采用硅、二氧化硅、有机玻璃或金属材料。The particles are made of silicon, silicon dioxide, plexiglass or metal materials.

所述调制模块采用竖直布置安装或者水平布置安装。The modulation module is installed vertically or horizontally.

所述电机为伺服电机或步进电机。The motor is a servo motor or a stepping motor.

所述三轴精密位移台采用三轴微调飞轮与微粒距离,精度达um级别。The three-axis precision displacement stage adopts three-axis fine-tuning of the distance between the flywheel and the particle, and the precision reaches um level.

一种引力加速度调制方法,采用所述的引力加速度调制装置利用万有引力定力定律,步骤如下:A gravitational acceleration modulation method, using the gravitational acceleration modulation device to utilize the law of universal gravitation, the steps are as follows:

第一步:对微粒受力分析,微粒受到飞轮的引力作用,产生的加速度分3个分量,分别为:F x F y F z Step 1: Analyze the force on the particle. The particle is subjected to the gravitational force of the flywheel, and the acceleration generated by the particle is divided into three components, namely: F x , F y , F z ;

第二步:对微粒与飞轮进行变换坐标系,即微粒绕飞轮旋转;Step 2: Transform the coordinate system between the particle and the flywheel, that is, the particle rotates around the flywheel;

第三步:积分计算飞轮对微粒的加速度;Step 3: Integral calculation of the acceleration of the flywheel to the particle;

Figure 635643DEST_PATH_IMAGE002
Figure 635643DEST_PATH_IMAGE002

式中,α为飞轮对微粒的加速度,G为万有引力常数,ρ为飞轮密度,微粒质心坐标为(x 0 y 0 z 0 ),r为飞轮与微粒距离,m为微粒的质量,M为飞轮的质量,飞轮质量单元质心坐标(x,y,z);In the formula, α is the acceleration of the flywheel to the particle, G is the gravitational constant, ρ is the density of the flywheel, the coordinates of the center of mass of the particle are ( x 0 , y 0 , z 0 ), r is the distance between the flywheel and the particle, m is the mass of the particle, M is the mass of the flywheel, the coordinates of the mass center of the flywheel mass unit (x, y, z);

第四步计算飞轮对微粒的X轴、Y轴加速度;The fourth step is to calculate the X-axis and Y-axis acceleration of the flywheel to the particles;

Figure 946538DEST_PATH_IMAGE003
Figure 946538DEST_PATH_IMAGE003

其中,in,

r 2 =( xx 0 )2+ (yy 0 ) 2+ (zz 0 ) 2 r 2 =( xx 0 ) 2 + ( yy 0 ) 2 + ( zz 0 ) 2

x 0 = r m cos(ωt)y 0 = r m sin (ωt)z 0 =d x 0 = r m cos (ωt) , y 0 = r m sin (ωt) , z 0 = d ;

式中,a x 为飞轮对微粒的X轴方向的加速,a y 为飞轮对微粒的Y轴方向的加速,G为万有引力常数,ρ为飞轮密度,微粒质心坐标为(x 0 y 0 z 0 ),r为飞轮与微粒距离,r m 为微粒轨道半径,ω为旋转角频率;In the formula, a x is the acceleration of the flywheel to the X-axis direction of the particle, a y is the acceleration of the flywheel to the Y-axis direction of the particle, G is the gravitational constant, ρ is the density of the flywheel, and the coordinates of the particle center of mass are ( x 0 , y 0 , z 0 ), r is the distance between the flywheel and the particle, r m is the orbital radius of the particle, and ω is the rotational angular frequency;

第五步计算垂直于重力方向的横向加速度;The fifth step is to calculate the lateral acceleration perpendicular to the direction of gravity;

以微粒中心指向长方体中心轴方向为x方向,垂直于该方向为y方向;The direction of the particle center pointing to the central axis of the cuboid is the x direction, and the direction perpendicular to this direction is the y direction;

则x方向引力加速度为:Then the gravitational acceleration in the x direction is:

A x = a x cos(ωt) + a y sin(ωt) A x = a x cos (ωt) + a y sin (ωt) ;

y方向引力加速度为:The gravitational acceleration in the y direction is:

A y = a y cos(ωt) a x sin(ωt) A y = a y cos (ωt)a x sin (ωt) ;

最终实现具有实现微粒信号的二倍频调制,避免了电机本身固有频率噪声的影响,实现对引力或ng量级加速度标定,免去微粒与飞轮质量误差带来的影响。Finally, the double-frequency modulation of the particle signal is realized, which avoids the influence of the inherent frequency noise of the motor itself, realizes the calibration of gravitational or ng-level acceleration, and avoids the influence of the mass error of the particle and the flywheel.

本发明的有益效果是:The beneficial effects of the present invention are:

本发明可追溯到万有引力定律,万有引力定律是目前已知的最精确的力源,理论上与温度、振动、电磁场没有耦合效应,可信度较高;无需引入电磁场,操作简单,未知系统误差较小。本发明飞轮结构为跑道型结构、哑铃型结构等轴对称结构,保证了对加速度的二倍频调制。本发明具有实现微粒信号的二倍频调制,避免了电机本身固有频率噪声的影响,实现对引力或ng量级加速度标定。本发明捕获模块可以是在磁场、光场、电场中捕获。本发明微粒材料为硅、二氧化硅、有机玻璃、金属等材料。本发明调制模块可竖直布置安装、水平布置安装。本发明电机为伺服电机、步进电机等。本发明三轴精密位移台可三轴微调飞轮与微粒距离,精度达um级别。本发明装置及方法可应用于引力或加速度调制标定技术领域。The present invention can be traced back to the law of universal gravitation, which is the most accurate force source known at present, and has no coupling effect with temperature, vibration, and electromagnetic field in theory, and has high reliability; no need to introduce electromagnetic fields, simple operation, and less error in unknown systems small. The flywheel structure of the present invention is an axisymmetric structure such as a racetrack structure, a dumbbell structure, etc., which ensures the double frequency modulation of the acceleration. The invention realizes the double frequency modulation of the particle signal, avoids the influence of the inherent frequency noise of the motor itself, and realizes the calibration of gravitational force or ng level acceleration. The capture module of the present invention can be captured in a magnetic field, an optical field, or an electric field. The particle material of the present invention is silicon, silicon dioxide, plexiglass, metal and other materials. The modulation module of the present invention can be installed vertically or horizontally. The motor of the present invention is a servo motor, a stepping motor and the like. The three-axis precision displacement table of the present invention can fine-tune the distance between the flywheel and the particle in three axes, and the precision reaches um level. The device and method of the invention can be applied to the technical field of gravity or acceleration modulation calibration.

附图说明Description of drawings

图1.1是本发明引力加速度调制装置的一种结构示意图。Figure 1.1 is a schematic structural diagram of the gravitational acceleration modulation device of the present invention.

图1.2是本发明引力加速度调制装置的另一种结构示意图。Fig. 1.2 is another structural schematic diagram of the gravitational acceleration modulation device of the present invention.

图2是本发明一实施例中所提出的微粒受力示意图。Fig. 2 is a schematic diagram of the force exerted on particles proposed in an embodiment of the present invention.

图3是本发明一实施例中所提出的飞轮与微粒变换坐标系示意图。FIG. 3 is a schematic diagram of a flywheel and particle transformation coordinate system proposed in an embodiment of the present invention.

图4是本发明一实施例中所提出的飞轮与微粒回到原坐标系示意图。FIG. 4 is a schematic diagram of the flywheel and particles returning to the original coordinate system proposed in an embodiment of the present invention.

图5是本发明一实施例中所提出的微粒X方向引力加速度时域频域图。Fig. 5 is a time-domain and frequency-domain diagram of gravitational acceleration in the X direction of a particle proposed in an embodiment of the present invention.

图6是本发明一实施例中所提出的微粒Y方向引力加速度时域频域图。Fig. 6 is a time-domain and frequency-domain diagram of gravitational acceleration in the Y direction of particles proposed in an embodiment of the present invention.

图中,微粒1、调制模块2、真空模块3、捕获模块4、探测模5;In the figure, particle 1, modulation module 2, vacuum module 3, capture module 4, detection module 5;

调制模块2包括飞轮2.1、旋转轴2.2、联轴器2.3、减速器2.4、电机2.5、三轴精密位移台2.6、电机支座2.7;The modulation module 2 includes a flywheel 2.1, a rotating shaft 2.2, a coupling 2.3, a reducer 2.4, a motor 2.5, a three-axis precision displacement table 2.6, and a motor support 2.7;

真空模块3包括真空腔3.1、真空管3.2、真空泵3.3、真空规3.4;The vacuum module 3 includes a vacuum chamber 3.1, a vacuum tube 3.2, a vacuum pump 3.3, and a vacuum gauge 3.4;

捕获模块4包括底座4.1、支架4.2、抗磁悬浮结构4.3;The capture module 4 includes a base 4.1, a bracket 4.2, and an anti-magnetic levitation structure 4.3;

探测模块5包括激光器5.1、光束调节透镜5.2、反射镜5.3、汇聚透镜5.4、半波片5.5、偏振分光片5.6、探测器5.7。The detection module 5 includes a laser 5.1, a beam adjusting lens 5.2, a mirror 5.3, a converging lens 5.4, a half-wave plate 5.5, a polarization beam splitter 5.6, and a detector 5.7.

具体实施方式detailed description

下面结合附图和实施例对本发明进一步说明。容易理解,根据本发明的技术方案,在不变更本发明实质精神下,本领域的一般技术人员可以提出可相互替换的多种结构方式以及实现方式。因此,以下具体实施方式以及附图仅是对本发明的技术方案的示例性说明,而不应当视为本发明的全部或者视为对本发明技术方案的限定或限制。The present invention will be further described below in conjunction with the accompanying drawings and embodiments. It is easy to understand that, according to the technical solution of the present invention, those skilled in the art can propose multiple structural modes and implementation modes that can be replaced without changing the essence and spirit of the present invention. Therefore, the following specific embodiments and drawings are only exemplary descriptions of the technical solution of the present invention, and should not be regarded as the entirety of the present invention or as a limitation or restriction on the technical solution of the present invention.

如图1.1所示,一种引力加速度调制装置,包括微粒1、调制模块2、真空模块3、捕获模块4、探测模5。As shown in Figure 1.1, a gravitational acceleration modulation device includes a particle 1, a modulation module 2, a vacuum module 3, a capture module 4, and a detection module 5.

如图1.1、图1.2所示,其中调制模块2包括顺次相连的飞轮2.1、旋转轴2.2、联轴器2.3、减速器2.4、电机2.5、三轴精密位移台2.6、电机支座2.7;其中电机2.5通过减速器2.4和联轴器2.3带动飞轮2.1周期性的相对位置运动,实现对力或加速度调制。As shown in Figure 1.1 and Figure 1.2, the modulation module 2 includes a flywheel 2.1, a rotating shaft 2.2, a coupling 2.3, a reducer 2.4, a motor 2.5, a three-axis precision displacement table 2.6, and a motor support 2.7 connected in sequence; The motor 2.5 drives the flywheel 2.1 to periodically move relative to the position through the reducer 2.4 and the shaft coupling 2.3 to realize force or acceleration modulation.

所述真空模块3包括真空腔3.1、真空管3.2、真空泵3.3、真空规3.4,真空泵3.3与波纹管3.2连接,波纹管3.2与真空腔3.1连接,真空规3.4与真空腔3.1连接,其中真空泵3.3对真空腔3.1抽真空,真空规3.4实时测量真空腔3.1内的真空度,真空模块3主要用于提供超高真空环境。Described vacuum module 3 comprises vacuum cavity 3.1, vacuum tube 3.2, vacuum pump 3.3, vacuum gauge 3.4, and vacuum pump 3.3 is connected with bellows 3.2, and bellows 3.2 is connected with vacuum cavity 3.1, and vacuum gauge 3.4 is connected with vacuum cavity 3.1, and wherein vacuum pump 3.3 pairs The vacuum chamber 3.1 is vacuumed, the vacuum gauge 3.4 measures the vacuum degree in the vacuum chamber 3.1 in real time, and the vacuum module 3 is mainly used to provide an ultra-high vacuum environment.

所述真空规3.4通过螺钉刀口密封固定在真空腔3.1上,真空管3.2与真空腔3.2通过螺钉刀口密封连接,真空泵3.3包含机械泵、分子泵、离子泵等通过螺钉螺母刀口密封连接真空管3.2。The vacuum gauge 3.4 is sealed and fixed on the vacuum chamber 3.1 by screw blades, the vacuum tube 3.2 is connected to the vacuum chamber 3.2 by a screw blade seal, and the vacuum pump 3.3 includes mechanical pumps, molecular pumps, ion pumps, etc., and is connected to the vacuum tube 3.2 by screw nut blades.

所述捕获模块4从下到上依次包括底座4.1、支架4.2、抗磁悬浮结构4.3;所述支架4.2通过螺钉固定在底座4.1上,支架4.2上安装光束调节透镜5.2、反射镜5.3、汇聚透镜5.4与抗磁悬浮结构4.3,通过磁力悬浮形成磁势阱对微粒1进行悬浮,也可以在光阱、电阱中捕获悬浮微粒1。The capture module 4 includes a base 4.1, a bracket 4.2, and an anti-magnetic levitation structure 4.3 from bottom to top; the bracket 4.2 is fixed on the base 4.1 by screws, and a beam adjustment lens 5.2, a reflector 5.3, and a converging lens 5.4 are installed on the bracket 4.2 Compared with the anti-magnetic levitation structure 4.3, the particle 1 is suspended by forming a magnetic potential well through magnetic force levitation, and the suspended particle 1 can also be captured in an optical trap or an electric trap.

探测模块5在光路上依次包括激光器5.1、光束调节透镜5.2、反射镜5.3、汇聚透镜5.4、半波片5.5、偏振分光片5.6、探测器5.7,通过激光器5.1照射微粒1,微粒1散射光通过汇聚透镜5.4、半波片5.5、偏振分光片5.6,最后到探测器5.7检测微粒的运动信息。The detection module 5 sequentially includes a laser 5.1, a beam adjustment lens 5.2, a reflector 5.3, a converging lens 5.4, a half-wave plate 5.5, a polarization beam splitter 5.6, and a detector 5.7 on the optical path. The particle 1 is irradiated by the laser 5.1, and the scattered light of the particle 1 passes through the The converging lens 5.4, the half-wave plate 5.5, the polarization beam splitter 5.6, and finally the detector 5.7 detects the movement information of the particles.

所述飞轮2.1为轴对称结构,包括跑道型结构、哑铃型结构。The flywheel 2.1 is an axisymmetric structure, including a track-shaped structure and a dumbbell-shaped structure.

所述飞轮2.1采用不锈钢、金、银、铜等金属材料。Described flywheel 2.1 adopts metal materials such as stainless steel, gold, silver, copper.

所述捕获模块4利用磁场、光场或电场捕获微粒1。The capture module 4 captures the particles 1 by using a magnetic field, an optical field or an electric field.

所述微粒1采用硅、二氧化硅、有机玻璃或金属材料。通过激光器5.1照射微粒1,微粒1散射光通过汇聚透镜5.4、半波片5.5、偏振分光片5.6,最后到探测器5.7可以检测微粒1的运动信息。The particles 1 are made of silicon, silicon dioxide, plexiglass or metal materials. The particle 1 is irradiated by the laser 5.1, and the scattered light of the particle 1 passes through the converging lens 5.4, the half-wave plate 5.5, the polarization beam splitter 5.6, and finally reaches the detector 5.7 to detect the movement information of the particle 1.

所述调制模块2采用竖直布置安装或者水平布置安装。The modulation module 2 is installed vertically or horizontally.

所述电机 2.5为伺服电机或步进电机。Described motor 2.5 is a servo motor or a stepping motor.

所述三轴精密位移台2.6采用三轴微调飞轮2.1与微粒1距离,精度达um级别。The three-axis precision displacement table 2.6 adopts three-axis fine-tuning of the distance between the flywheel 2.1 and the particle 1, and the precision reaches um level.

调制模块2、捕获模块4整体安装在真空腔3内,首先将底座4.1通过螺钉固定在真空腔3的底板上,电机支座2.7通过螺钉固结在底座4.1上;三轴精密位移台2.6通过螺钉固定在电机支座2.7上,三轴精密位移台2.6具有真空兼容性,对X轴、Y轴、Z轴三轴方向进行μm级别精度的调控,精确控制飞轮2.1与微粒1支架的相对位置,实现对微粒1的精密调控;电机2.5通过转接板2.7转接与三轴精密位移台2.6固定,电机2.5输出轴连接减速器2.4实现电机2.5速度的减速,保证飞轮2.1的低频调制,减速器2.4输出轴通过联轴器2.3连接旋转轴2.2,旋转轴2.2实现与飞轮2.1的固结。The modulation module 2 and the capture module 4 are installed in the vacuum chamber 3 as a whole. First, the base 4.1 is fixed on the bottom plate of the vacuum chamber 3 by screws, and the motor support 2.7 is fixed on the base 4.1 by screws; the three-axis precision displacement table 2.6 passes Screws are fixed on the motor support 2.7, and the three-axis precision translation stage 2.6 is vacuum compatible, and the three-axis directions of the X-axis, Y-axis, and Z-axis are regulated with μm-level precision, and the relative position of the flywheel 2.1 and the particle 1 bracket is precisely controlled , to realize the precise control of the particle 1; the motor 2.5 is fixed to the three-axis precision displacement table 2.6 through the adapter plate 2.7, and the output shaft of the motor 2.5 is connected to the reducer 2.4 to realize the deceleration of the speed of the motor 2.5, ensuring the low-frequency modulation of the flywheel 2.1, deceleration The output shaft of the device 2.4 is connected to the rotating shaft 2.2 through the shaft coupling 2.3, and the rotating shaft 2.2 realizes the consolidation with the flywheel 2.1.

将装置的调制模块2、真空模块3、捕获模块4、探测模块5等连接安装,确认无误后,捕获模块4的抗磁悬浮结构4.3捕获微粒1,完成微粒1的捕获。利用真空模块3开启机械泵对真空腔3.1进行抽真空,当真空规3.2显示真空腔抽至低于10-1mbar后,开启分子泵对真空腔3.1进行抽真空,当真空规3.2显示真空腔抽至低于1×10-6mbar时,开启离子泵抽真空可将真空腔3.2带入更高的极限真空。启动调制模块2,调节三轴精密位移台2.6,对X轴、Y轴、Z轴调制模块三轴方向进行μm级别精度的调控,精确控制飞轮2.1与微粒支架4.2的相对位置,实现对微粒1的精密调控;电机2.5运动并通过减速器2.4和联轴器2.3带动飞轮2.1周期性的相对位置运动,实现对引力加速度调制。探测模块5通过激光器5.1照射微粒1,微粒1散射光通过汇聚透镜5.4、半波片5.5、偏振分光片5.6,最后到探测器5.7可以检测微粒1的运动调制信息。The modulation module 2, vacuum module 3, capture module 4, and detection module 5 of the device are connected and installed, and after confirmation, the anti-magnetic levitation structure 4.3 of the capture module 4 captures the particle 1, and the capture of the particle 1 is completed. Use the vacuum module 3 to turn on the mechanical pump to vacuumize the vacuum chamber 3.1. When the vacuum gauge 3.2 shows that the vacuum chamber is pumped below 10-1 mbar, turn on the molecular pump to vacuumize the vacuum chamber 3.1. When the vacuum gauge 3.2 shows that the vacuum chamber When the vacuum is lower than 1×10 -6 mbar, turning on the ion pump to vacuum can bring the vacuum chamber 3.2 to a higher ultimate vacuum. Start the modulation module 2, adjust the three-axis precision translation stage 2.6, and adjust the three-axis direction of the X-axis, Y-axis, and Z-axis modulation module with μm-level precision, and accurately control the relative position of the flywheel 2.1 and the particle support 4.2, and realize the particle 1 The motor 2.5 moves and drives the flywheel 2.1 to periodically move relative to the position through the reducer 2.4 and the coupling 2.3, so as to realize the gravitational acceleration modulation. The detection module 5 irradiates the particle 1 through the laser 5.1, the light scattered by the particle 1 passes through the converging lens 5.4, the half-wave plate 5.5, the polarization beam splitter 5.6, and finally reaches the detector 5.7 to detect the motion modulation information of the particle 1.

本实施方式中,一种引力加速度调制方法,利用万有引力定力定律,其方法包括以下步骤:In this embodiment, a gravitational acceleration modulation method utilizes the law of universal gravitation to determine force, and its method includes the following steps:

第一步:如图2所示本发明一实施例中所提出的微粒1受力示意图,对微粒1受力分析,微粒1受到飞轮2.1的引力作用,产生的加速度分3个分量,分别为:F x F y F z The first step: as shown in Fig. 2, the force schematic diagram of the particle 1 proposed in an embodiment of the present invention is analyzed. The force analysis of the particle 1 shows that the particle 1 is subjected to the gravitational effect of the flywheel 2.1, and the acceleration produced is divided into 3 components, which are respectively : F x , F y , F z .

第二步:图3本发明一实施例中所提出的飞轮2.1与微粒1变换坐标系示意图,对微粒1与飞轮2.1进行变换坐标系,即微粒1绕飞轮2.1旋转;The second step: Fig. 3 is a schematic diagram of the coordinate system transformation between the flywheel 2.1 and the particle 1 proposed in an embodiment of the present invention, and transforms the coordinate system between the particle 1 and the flywheel 2.1, that is, the particle 1 rotates around the flywheel 2.1;

第三步:积分计算飞轮2.1对微粒1的加速度;Step 3: Integral calculation of the acceleration of the flywheel 2.1 on the particle 1;

Figure 279431DEST_PATH_IMAGE004
Figure 279431DEST_PATH_IMAGE004

式中,α为飞轮2.1对微粒1的加速度,G为万有引力常数,ρ为飞轮2.1密度,微粒1质心坐标为(x 0 y 0 z 0 ),r为飞轮2.1与微粒1距离,m为微粒1的质量,M为飞轮2.1的质量,飞轮2.1质量单元质心坐标(x,y,z)。In the formula, α is the acceleration of flywheel 2.1 to particle 1, G is the gravitational constant, ρ is the density of flywheel 2.1, the coordinates of the center of mass of particle 1 are ( x 0 , y 0 , z 0 ), r is the distance between flywheel 2.1 and particle 1, m is the mass of the particle 1, M is the mass of the flywheel 2.1, and the coordinates of the center of mass of the mass unit of the flywheel 2.1 (x, y, z).

第四步:计算飞轮2.1对微粒1的X轴、Y轴加速度;Step 4: Calculate the X-axis and Y-axis accelerations of the flywheel 2.1 on the particle 1;

Figure 520835DEST_PATH_IMAGE003
Figure 520835DEST_PATH_IMAGE003

其中,r 2 =( xx 0 )2+ (yy 0 ) 2+ (zz 0 ) 2 where r 2 =( xx 0 ) 2 + ( yy 0 ) 2 + ( zz 0 ) 2

x 0 = r m cos(ωt)y 0 = r m sin (ωt)z 0 =d x 0 = r m cos (ωt) , y 0 = r m sin (ωt) , z 0 = d ;

式中,a x 为飞轮2.1对微粒1的X轴方向的加速,a y 为飞轮2.1对微粒1的Y轴方向的加速,r m 为微粒1轨道半径,ω为旋转角频率。In the formula, a x is the acceleration of the flywheel 2.1 to the X-axis direction of the particle 1, a y is the acceleration of the flywheel 2.1 to the Y-axis direction of the particle 1, r m is the orbital radius of the particle 1, and ω is the rotation angular frequency.

第五步:图4本发明一实施例中所提出的飞轮2.1与微粒1回到原坐标系示意图,计算垂直于重力方向的横向加速度;Step 5: Figure 4 shows the flywheel 2.1 proposed in an embodiment of the present invention and the particle 1 returning to the original coordinate system, and calculates the lateral acceleration perpendicular to the direction of gravity;

以微粒1中心指向长方体中心轴方向为x方向,垂直于该方向为y方向。The direction from the center of particle 1 to the central axis of the cuboid is the x direction, and the direction perpendicular to this direction is the y direction.

则x方向引力加速度为:Then the gravitational acceleration in the x direction is:

A x = a x cos(ωt) + a y sin(ωt) A x = a x cos(ωt) + a y sin (ωt) ;

y方向引力加速度为:The gravitational acceleration in the y direction is:

A y = a y cos(ωt) a x sin(ωt) A y = a y cos(ωt)a x sin(ωt) ;

最终实现具有实现微粒1信号的二倍频调制,避免了电机2.5本身固有频率噪声的影响,实现对引力或ng量级加速度标定,免去微粒1与飞轮2.1质量误差带来的影响。Finally, the double frequency modulation of the particle 1 signal is realized, which avoids the influence of the inherent frequency noise of the motor 2.5 itself, realizes the calibration of gravity or ng-level acceleration, and avoids the influence of the mass error of the particle 1 and the flywheel 2.1.

图5、图6为应用实施例中微粒X、Y方向引力加速度时域频域图。Fig. 5 and Fig. 6 are the time-domain and frequency-domain diagrams of gravitational acceleration in X and Y directions of particles in the application example.

应用实施例application example

本应用实施案例中选用的调制模块的飞轮长度为20mm,宽度10mm,高度10mm,结构形状为跑道型结构,飞轮的材质为304不锈钢材质,飞轮的旋转频率为10Hz,飞轮距微粒z向表面间距为250um, 粒子相对于长方体中心的旋转半径r m 为11.2mm。The flywheel of the modulation module selected in this application implementation case is 20mm in length, 10mm in width, and 10mm in height. The structural shape is a racetrack structure. The material of the flywheel is 304 stainless steel. is 250um, and the radius r m of the particles relative to the center of the cuboid is 11.2mm.

操作步骤如下:The operation steps are as follows:

1)将调制模块2、真空模块3、捕获模块4、探测模块5等连接安装;1) Connect and install modulation module 2, vacuum module 3, capture module 4, detection module 5, etc.;

2)确认无误后,起支微粒1;2) After confirming that there is no error, launch Particle 1;

3)捕获模块4的抗磁悬浮结构4.3捕获微粒1,完成微粒1的捕获;3) The anti-magnetic levitation structure 4.3 of the capture module 4 captures the particle 1 to complete the capture of the particle 1;

4)利用真空模块3对开启机械泵对真空腔3.1进行抽真空;4) Use the vacuum module 3 to turn on the mechanical pump to vacuumize the vacuum chamber 3.1;

5)当真空规3.4显示真空腔3.1抽至低于10-1mbar后,开启分子泵对真空腔3.1进行抽真空;5) When the vacuum gauge 3.4 shows that the vacuum chamber 3.1 is pumped below 10 -1 mbar, turn on the molecular pump to vacuum the vacuum chamber 3.1;

6)当真空规3.4显示真空腔3.1抽至低于1×10-6mbar时,打开开启离子泵抽真空可将真空腔3.1带入更高的极限真空;6) When the vacuum gauge 3.4 shows that the vacuum chamber 3.1 is pumped below 1×10 -6 mbar, turn on the ion pump to vacuum the vacuum chamber 3.1 to a higher ultimate vacuum;

7)启动调制模块2,调节三轴精密位移台2.7,对X轴、Y轴、Z轴调制模块三轴方向进行μm级别精度的调控,精确控制飞轮2.1与微粒1的相对位置,实现对微粒的精密调控,使得飞轮2.1距微粒1的z向表面间距为250um;7) Start the modulation module 2, adjust the three-axis precision displacement table 2.7, and adjust the three-axis direction of the X-axis, Y-axis, and Z-axis modulation module with μm-level precision, and accurately control the relative position of the flywheel 2.1 and the particle 1, so as to realize the fine-tuning of the particle The precision control makes the distance between the flywheel 2.1 and the z-direction surface of the particle 1 be 250um;

8)电机2.5运动并通过减速器2.4和联轴器2.3带动飞轮2.1,以10Hz频率周期性的转动,实现对微粒1引力加速度调制;8) The motor 2.5 moves and drives the flywheel 2.1 through the reducer 2.4 and the coupling 2.3 to rotate periodically at a frequency of 10 Hz to realize the gravitational acceleration modulation of the particle 1;

9)探测模块4通过激光器5.1照射微粒1,微粒1散射光通过汇聚透镜5.4、半波片5.5、偏振分光片5.6,最后到探测器5.7可以检测微粒1的运动调制信息;9) The detection module 4 irradiates the particle 1 through the laser 5.1, the scattered light of the particle 1 passes through the converging lens 5.4, the half-wave plate 5.5, the polarization beam splitter 5.6, and finally reaches the detector 5.7 to detect the motion modulation information of the particle 1;

10)最后通过MATLAB程序可以解算出微粒X、Y方向引力加速度时域频域图。10) Finally, through the MATLAB program, the time-domain and frequency-domain diagrams of the gravitational acceleration in the X and Y directions of the particles can be calculated.

上述描述中的实施方案可以进一步组合或者替换,且实施方案仅仅是对本发明的优选实施例进行描述,并非对本发明的构思和范围进行限定,在不脱离本发明设计思想的前提下,本领域普通技术人员对本发明的技术方案做出的各种变化和改进,均属于本发明的保护范围。本发明的保护范围由所附权利要求及其任何等同物给出。The implementations in the above description can be further combined or replaced, and the implementations are only descriptions of preferred embodiments of the present invention, and are not intended to limit the concept and scope of the present invention. Various changes and improvements made by technicians to the technical solution of the present invention belong to the protection scope of the present invention. The scope of protection for the present invention is given by the appended claims and any equivalents thereof.

Claims (10)

1.一种引力加速度调制装置,其特征是:包括微粒(1)、调制模块(2)、真空模块(3)、1. A gravitational acceleration modulation device, characterized by: comprising particles (1), modulation module (2), vacuum module (3), 捕获模块(4)、探测模块(5);capture module (4), detection module (5); 其中所述调制模块(2)包括顺次相连的飞轮(2.1)、旋转轴(2.2)、联轴器(2.3)、减速器(2.4)、电机(2.5)、三轴精密位移台(2.6)、电机支座(2.7);其中电机(2.5)通过减速器(2.4)和联轴器(2.3)带动飞轮(2.1)周期性的相对位置运动,实现对力或加速度调制;The modulation module (2) includes a flywheel (2.1), a rotating shaft (2.2), a coupling (2.3), a reducer (2.4), a motor (2.5), and a three-axis precision displacement table (2.6) connected in sequence . The motor support (2.7); wherein the motor (2.5) drives the flywheel (2.1) to move periodically relative to the position through the reducer (2.4) and the coupling (2.3) to realize force or acceleration modulation; 所述的真空模块(3)用于提供超高真空环境;The vacuum module (3) is used to provide an ultra-high vacuum environment; 所述的捕获模块(4)利用磁场、光场或电场捕获微粒(1);The capture module (4) captures the particles (1) by using a magnetic field, an optical field or an electric field; 所述的探测模块(5)用于探测微粒(1)的运动信息;The detection module (5) is used to detect the movement information of the particles (1); 所述调制模块(2)、捕获模块(4)整体安装在真空模块内。The modulation module (2) and the capture module (4) are integrally installed in the vacuum module. 2.根据权利要求1所述的引力加速度调制装置,其特征是:所述真空模块(3)包括真空腔(3.1)、波纹管(3.2)、真空泵(3.3)、真空规(3.4),真空泵(3.3)与波纹管(3.2)连接,波纹管(3.2)与真空腔(3.1)连接,真空规(3.4)与真空腔(3.1)连接,其中真空泵(3.3)对真空腔(3.1)抽真空,真空规(3.4)实时测量真空腔(3.1)内的真空度。2. The gravitational acceleration modulation device according to claim 1, characterized in that: the vacuum module (3) includes a vacuum chamber (3.1), a bellows (3.2), a vacuum pump (3.3), a vacuum gauge (3.4), a vacuum pump (3.3) is connected with the bellows (3.2), the bellows (3.2) is connected with the vacuum chamber (3.1), the vacuum gauge (3.4) is connected with the vacuum chamber (3.1), and the vacuum pump (3.3) evacuates the vacuum chamber (3.1) , the vacuum gauge (3.4) measures the vacuum degree in the vacuum chamber (3.1) in real time. 3.根据权利要求1所述的引力加速度调制装置,其特征是:所述探测模块(5)在光路上依次包括激光器(5.1)、光束调节透镜(5.2)、反射镜(5.3)、汇聚透镜(5.4)、半波片(5.5)、偏振分光片(5.6)、探测器(5.7),通过激光器(5.1)照射微粒(1),微粒(1)散射光通过汇聚透镜(5.4)、半波片(5.5)、偏振分光片(5.6),最后到探测器(5.7)检测微粒的运动信息。3. The gravitational acceleration modulation device according to claim 1, characterized in that: the detection module (5) sequentially includes a laser (5.1), a beam adjustment lens (5.2), a mirror (5.3), and a converging lens on the optical path (5.4), half-wave plate (5.5), polarizing beam splitter (5.6), detector (5.7), the particle (1) is irradiated by the laser (5.1), and the scattered light of the particle (1) passes through the converging lens (5.4), half-wave film (5.5), polarization beam splitter (5.6), and finally to the detector (5.7) to detect the motion information of particles. 4.根据权利要求1所述的引力加速度调制装置,其特征是:所述飞轮(2.1)采用不锈钢、金、银、铜金属材料;所述飞轮(2.1)为轴对称结构,包括跑道型结构、哑铃型结构。4. The gravitational acceleration modulation device according to claim 1, characterized in that: the flywheel (2.1) is made of stainless steel, gold, silver, copper metal materials; the flywheel (2.1) is an axisymmetric structure, including a racetrack structure , Dumbbell-shaped structure. 5.根据权利要求1所述的引力加速度调制装置,其特征是:所述捕获模块(4)从下到上依次包括底座(4.1)、支架(4.2)、抗磁悬浮结构(4.3),用于通过磁力悬浮形成磁势阱对微粒(1)进行悬浮。5. The gravitational acceleration modulation device according to claim 1, characterized in that: the capture module (4) sequentially includes a base (4.1), a bracket (4.2), and an anti-magnetic levitation structure (4.3) from bottom to top, for The particle (1) is suspended by forming a magnetic potential well through magnetic levitation. 6.根据权利要求1所述的引力加速度调制装置,其特征是:所述微粒(1)采用硅、二氧化硅、有机玻璃或金属材料。6. The gravitational acceleration modulation device according to claim 1, characterized in that: the particles (1) are made of silicon, silicon dioxide, plexiglass or metal materials. 7.根据权利要求1所述的引力加速度调制装置,其特征是:所述调制模块(2)采用竖直布置安装或者水平布置安装。7. The gravitational acceleration modulation device according to claim 1, characterized in that: the modulation module (2) is installed vertically or horizontally. 8.根据权利要求1所述的引力加速度调制装置,其特征是:所述电机(2.5)为伺服电机或步进电机。8. The gravitational acceleration modulation device according to claim 1, characterized in that: the motor (2.5) is a servo motor or a stepping motor. 9.根据权利要求1所述的引力加速度调制装置,其特征是:所述三轴精密位移台(2.6)采用三轴微调飞轮(2.1)与微粒(1)距离,精度达um级别。9. The gravitational acceleration modulation device according to claim 1, characterized in that: the three-axis precision translation stage (2.6) adopts three-axis fine-tuning of the distance between the flywheel (2.1) and the particle (1), and the accuracy reaches um level. 10.一种引力加速度调制方法,其特征是:采用根据权利要求1所述的引力加速度调制装置利用万有引力定力定律,步骤如下:10. A gravitational acceleration modulation method is characterized in that: adopt the gravitational acceleration modulation device according to claim 1 to utilize the law of universal gravitation, and the steps are as follows: 第一步:对微粒(1)受力分析,微粒(1)受到飞轮(2.1)的引力作用,产生的加速度分3个分量,分别为:F x F y F z Step 1: Analyze the force on the particle (1). The particle (1) is subjected to the gravitational force of the flywheel (2.1), and the acceleration generated by the particle (1) is divided into three components, namely: F x , F y , F z ; 第二步:对微粒(1)与飞轮(2.1)进行变换坐标系,即微粒绕飞轮旋转;The second step: Transform the coordinate system of the particle (1) and the flywheel (2.1), that is, the particle rotates around the flywheel; 第三步:积分计算飞轮(2.1)对微粒(1)的加速度;Step 3: Integral calculation of the acceleration of the flywheel (2.1) on the particle (1);
Figure DEST_PATH_IMAGE001
Figure DEST_PATH_IMAGE001
式中,α为飞轮(2.1)对微粒(1)的加速度,G为万有引力常数,ρ为飞轮密度,微粒(1)质心坐标为(x 0 y 0 z 0 ),r为飞轮(2.1)与微粒(1)距离,m为微粒(1)的质量,M为飞轮(2.1)的质量,飞轮(2.1)质量单元质心坐标(x,y,z);In the formula, α is the acceleration of the flywheel (2.1) to the particle (1), G is the gravitational constant, ρ is the density of the flywheel, the coordinates of the center of mass of the particle (1) are ( x 0 , y 0 , z 0 ), r is the flywheel (2.1 ) and the particle (1), m is the mass of the particle (1), M is the mass of the flywheel (2.1), and the mass center coordinates (x, y, z) of the mass unit of the flywheel (2.1); 第四步计算飞轮(2.1)对微粒(1)的X轴、Y轴加速度;The fourth step is to calculate the X-axis and Y-axis acceleration of the particle (1) by the flywheel (2.1);
Figure DEST_PATH_IMAGE002
Figure DEST_PATH_IMAGE002
其中,in, r 2 =( xx 0 )2+ (yy 0 ) 2+ (zz 0 ) 2 r 2 =( xx 0 ) 2 + ( yy 0 ) 2 + ( zz 0 ) 2 x 0 = r m cos(ωt)y 0 = r m sin (ωt)z 0 =d x 0 = r m cos (ωt) , y 0 = r m sin (ωt) , z 0 = d ; 式中,a x 为飞轮(2.1)对微粒(1)的X轴方向的加速度,a y 为飞轮(2.1)对微粒(1)的Y轴方向的加速度,G为万有引力常数,ρ为飞轮(2.1)密度,微粒(1)质心坐标为(x 0 y 0 z 0 ),r为飞轮(2.1)与微粒(1)距离,r m 为微粒(1)轨道半径,ω为旋转角频率,d为微粒(1)与飞轮(2.1)Z轴方向的距离;In the formula, a x is the acceleration of the flywheel (2.1) on the X-axis direction of the particle (1), a y is the acceleration of the flywheel (2.1) on the Y-axis direction of the particle (1), G is the gravitational constant, and ρ is the flywheel ( 2.1) Density, the coordinates of the center of mass of the particle (1) are ( x 0 , y 0 , z 0 ), r is the distance between the flywheel (2.1) and the particle (1), r m is the orbital radius of the particle (1), ω is the rotational angular frequency , d is the distance between the particle (1) and the flywheel (2.1) in the Z-axis direction; 第五步计算垂直于重力方向的横向加速度;The fifth step is to calculate the lateral acceleration perpendicular to the direction of gravity; 以微粒(1)中心指向长方体中心轴方向为x方向,垂直于该方向为y方向;The direction of the center of the particle (1) pointing to the central axis of the cuboid is the x direction, and the direction perpendicular to this direction is the y direction; 则x方向引力加速度为:Then the gravitational acceleration in the x direction is: A x = a x cos(ωt) + a y sin(ωt) A x = a x cos(ωt) + a y sin (ωt) ; y方向引力加速度为:The gravitational acceleration in the y direction is: A y = a y cos(ωt) a x sin(ωt) A y = a y cos(ωt)a x sin(ωt) ; 最终实现具有实现微粒(1)信号的二倍频调制,避免了电机(2.5)本身固有频率噪声的影响,实现对引力或ng量级加速度标定,免去微粒(1)与飞轮(2.1)质量误差带来的影响。Finally, the double frequency modulation of the particle (1) signal is realized, which avoids the influence of the inherent frequency noise of the motor (2.5), realizes the calibration of gravity or ng-level acceleration, and eliminates the mass of the particle (1) and the flywheel (2.1) The impact of errors.
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