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CN105423957A - Rotation shaft rotation angle measuring method restraining shafting dip angle rotation error - Google Patents

Rotation shaft rotation angle measuring method restraining shafting dip angle rotation error Download PDF

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Publication number
CN105423957A
CN105423957A CN201510789925.3A CN201510789925A CN105423957A CN 105423957 A CN105423957 A CN 105423957A CN 201510789925 A CN201510789925 A CN 201510789925A CN 105423957 A CN105423957 A CN 105423957A
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angle
rotation
rotating shaft
autocollimator
center
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CN105423957B (en
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宣丽
李文杰
穆全全
王少鑫
曹召良
李大禹
杨程亮
胡立发
彭增辉
刘永刚
姚丽双
徐焕宇
王玉坤
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Changchun Institute of Optics Fine Mechanics and Physics of CAS
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Changchun Institute of Optics Fine Mechanics and Physics of CAS
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/26Measuring arrangements characterised by the use of optical techniques for measuring angles or tapers; for testing the alignment of axes

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

The invention belongs to the field of optical measurement, and relates to a rotation shaft rotation angle measuring method restraining shafting dip angle rotation error. The measuring principle system of the invention is shown in figure 1. A rotation shaft (2) with an optical wedge (5) is placed between an auto-collimator (1) and a mirror (3). Due to refraction of the optical wedge (5), a reflected light beam, which is generated after the light beam emitted by the auto-collimator (1) passes through the mirror (3) and is reflected back, forms a deflection angle Beta with the outgoing light beam, returns to the auto-collimator (1) and converges into a light spot image; when the rotation shaft (2) and the optical wedge (5) rotate as a whole, the reflected light beam rotates about the axis of the rotation shaft (2), and the light spot image in the auto-collimator (1) moves along a circular trajectory; and a computer (4) records the coordinates of the center of mass of the light spot image on the circumference, fits out the coordinates of the center of the trajectory circle, specifies the start point A and the end point B on the circumference, and works out the corresponding center-of-circle opening angle based on the coordinate values of A and B, wherein the angle is the rotation angle of the rotation shaft (2) from A to B needing to be measured. In the invention, the shafting dip angle rotation error has almost no effect on the measurement accuracy of rotation angle.

Description

一种抑制轴系倾角回转误差的转轴转角的测量方法A method for measuring the rotation angle of the shaft to suppress the inclination angle rotation error of the shaft system

技术领域technical field

本发明属于光机检测领域,是一种高精度的转轴转角测量方法。涉及自准直仪、光楔以及反射镜的组合,具体地说是一种抑制轴系倾角回转误差的转轴转动角度的测量方法。The invention belongs to the field of optical-mechanical detection, and is a high-precision method for measuring the rotation angle of a rotating shaft. The invention relates to a combination of an autocollimator, an optical wedge and a reflector, specifically a method for measuring the rotational angle of a rotating shaft that suppresses the rotational error of the inclination angle of the shaft system.

背景技术Background technique

根据自准直仪的角度测量原理,很容易想到利用图1所示的光路系统来测量转轴转角。其中1为自准直仪,2为转轴,3为反射镜,4为计算机;反射镜3安装在转轴2的端面上,且与转轴2的端面成角度θ;自准直仪1发出的平行光束经反射镜3的反射后,相对自准直仪1的出射光束偏折角度β=2θ、而进入自准直仪1形成光点像;自准直仪1与计算机4相连,自准直仪1中得到的光点像的位置数据由计算机4读出、经过处理即可得到光点像的位置坐标,并显示在计算机4的显示屏上;当转轴2和反射镜3一体转动时,反射光束绕着转轴2的轴线转动,自准直仪1中的光点像在计算机4的显示屏上沿着圆形轨迹运动,如图2所示,轨迹圆半径取决于反射光束与出射光束的偏折角β=2θ、以及自准直仪1与反射镜3的相对距离;以轨迹圆上左下方的任一光点像位置为原点建立直角坐标系,通过记录转轴2转动过程中获得的一系列圆周点坐标即可拟合出轨迹圆圆心坐标C,再利用圆周上采样起始点A和终点B的坐标值即可算出A与B间圆弧所对应的圆心张角该角度即为转轴2的转角。According to the angle measurement principle of the autocollimator, it is easy to think of using the optical system shown in Figure 1 to measure the rotation angle of the rotating shaft. Among them, 1 is an autocollimator, 2 is a rotating shaft, 3 is a mirror, and 4 is a computer; the mirror 3 is installed on the end face of the rotating shaft 2, and forms an angle θ with the end face of the rotating shaft 2; After the light beam is reflected by the reflector 3, it is deflected at an angle β=2θ relative to the outgoing beam of the autocollimator 1, and enters the autocollimator 1 to form a spot image; the autocollimator 1 is connected with the computer 4, and the autocollimator The position data of the spot image obtained in the instrument 1 is read by the computer 4, and the position coordinates of the spot image can be obtained through processing, and displayed on the display screen of the computer 4; when the rotating shaft 2 and the mirror 3 rotate integrally, The reflected light beam rotates around the axis of the rotating shaft 2, and the light spot image in the autocollimator 1 moves along a circular track on the display screen of the computer 4, as shown in Figure 2, the radius of the track circle depends on the reflected light beam and the outgoing light beam The deflection angle β=2θ, and the relative distance between the autocollimator 1 and the reflector 3; a Cartesian coordinate system is established with any light point image position on the lower left on the trajectory circle as the origin, and a series of values obtained during the rotation of the recording shaft 2 The coordinates of the circle points can be used to fit the coordinates of the center of the trajectory circle C, and then use the coordinate values of the sampling start point A and end point B on the circle to calculate the center opening angle corresponding to the arc between A and B This angle is the rotation angle of the rotating shaft 2 .

这种测量方法简单、方便,同时可实现大范围转角测量,可广泛用于机构的转动误差测量。然而,由于转轴的加工误差、轴承的安装误差,轴承本身的游隙以及转轴在使用过程中受到的传动力作用等因素的影响,导致转轴转动过程中发生摆动,专业上称为轴系倾角回转误差,其连带反射镜3上的反射光束发生摆动,导致自准直仪1中的光点像脱离理想的圆形轨迹,且偏离量为轴系倾角回转误差的2倍,使终点位置由B点变化到B1点,如图2中所示,产生转角测量误差不同转动机构中的轴系倾角回转误差不同,一般为几角秒到几十角秒。可见,轴系倾角回转误差严重影响了转轴2转角的测量准确性。The measurement method is simple and convenient, and can realize the measurement of the rotation angle in a large range at the same time, and can be widely used in the measurement of the rotation error of the mechanism. However, due to the machining error of the shaft, the installation error of the bearing, the clearance of the bearing itself, and the transmission force of the shaft during use, the swing occurs during the rotation of the shaft, which is professionally called the shaft system inclination rotation. The error, which causes the reflected light beam on the mirror 3 to swing, causes the light point image in the autocollimator 1 to deviate from the ideal circular track, and the deviation is twice the error of the axis tilt angle rotation, so that the end position changes from B point changes to point B1, as shown in Figure 2, resulting in an error in the measurement of the rotation angle The inclination angle rotation error of the shaft system in different rotating mechanisms is different, generally ranging from a few arc seconds to tens of arc seconds. It can be seen that the inclination angle rotation error of the shaft system seriously affects the measurement accuracy of the rotation angle of the shaft 2.

本发明内容即为一种抑制轴系倾角回转误差的转轴转动角度的测量方法。The content of the present invention is a method for measuring the rotation angle of a rotating shaft that suppresses the inclination angle rotation error of the shaft system.

为了清楚说明本发明的内容,下面详述自准直仪1的工作原理。自准直仪1的内部光学结构示于图3中的虚线框内,其中11为平行光光源,12为分束器,13为透镜,14为CCD;平行光光源11发出的细光束被分束器12折角90°从出光口的中心出射,经反射镜3反射与出射光束成角度β,并依次透过分束器12、透镜13汇聚在CCD14的面板上,形成光点像;CCD14与计算机4直接连接,光点像在CCD14面板上的位置数据由计算机4读出、经过计算机4中的程序处理即可得到光点像的位置坐标,并显示在计算机4的显示屏上。In order to clearly illustrate the content of the present invention, the working principle of the autocollimator 1 will be described in detail below. The internal optical structure of autocollimator 1 is shown in the dotted line frame among Fig. 3, and wherein 11 is parallel light source, and 12 is beam splitter, and 13 is lens, and 14 is CCD; Beamer 12 is emitted from the center of the light outlet at a bending angle of 90°, reflected by reflector 3 to form an angle β with the outgoing beam, and sequentially passes through beam splitter 12 and lens 13 to converge on the panel of CCD14 to form a spot image; CCD14 and computer 4 directly connected, the position data of the light point image on the CCD14 panel is read by the computer 4, and the position coordinates of the light point image can be obtained through the program processing in the computer 4, and displayed on the display screen of the computer 4.

发明内容Contents of the invention

本发明针对轴系倾角回转误差对转轴转角测量的影响,提出一种基于光楔折射的转轴转角测量方法,目的是抑制轴系倾角回转误差对测量的影响,提高转轴转角的测量精度。Aiming at the influence of the shaft system inclination angle rotation error on the measurement of the rotation shaft rotation angle, the present invention proposes a method for measuring the rotation shaft rotation angle based on optical wedge refraction.

本发明的测量光路系统示意图如图4所示,其中1为自准直仪,2为转轴,3为反射镜,4为计算机,5为光楔;光楔5固定在转轴2的端面上,反射镜3置于转轴2之后垂直固定、且使反射镜3的法线与转轴2的轴线平行;带有光楔5的转轴2置于自准直仪1和反射镜3之间。自准直仪1发出的光束依次经过光楔5的折射和反射镜3的反射,反射光束再经光楔5的折射、与自准直仪1的出射光束形成偏折角β返回自准直仪1中,并汇聚成光点像;由于光楔5的折射作用,当转轴2和光楔5一体转动时,反射光束绕着转轴2的轴线转动,自准直仪1中的光点像沿着圆形轨迹运动;计算机4记录转轴2转动一周后获得的一系列均匀分布在圆周上的光点像质心坐标、拟合出轨迹圆圆心坐标,再根据具体测量要求指定圆周上起始点A和终点B,利用A与B的坐标值计算出A与B间圆弧所对应的圆心张角该角度即为所需测量的转轴2由A到B的转角。The schematic diagram of the measurement optical path system of the present invention is shown in Figure 4, wherein 1 is an autocollimator, 2 is a rotating shaft, 3 is a mirror, 4 is a computer, and 5 is an optical wedge; the optical wedge 5 is fixed on the end face of the rotating shaft 2, After the mirror 3 is placed on the shaft 2, it is vertically fixed, and the normal of the mirror 3 is parallel to the axis of the shaft 2; the shaft 2 with the optical wedge 5 is placed between the autocollimator 1 and the mirror 3. The beam emitted by the autocollimator 1 passes through the refraction of the optical wedge 5 and the reflection of the mirror 3 in sequence, and the reflected beam is then refracted by the optical wedge 5, forms a deflection angle β with the outgoing beam of the autocollimator 1, and returns to the autocollimator 1, and converge into a spot image; due to the refraction of the optical wedge 5, when the shaft 2 and the wedge 5 rotate together, the reflected light beam rotates around the axis of the shaft 2, and the spot image in the autocollimator 1 moves along the Circular track motion; the computer 4 records the coordinates of the center of mass of a series of light spots evenly distributed on the circumference obtained after the rotating shaft 2 rotates a circle, and fits out the coordinates of the center of the track circle, and then specifies the starting point A and the end point on the circumference according to the specific measurement requirements B, use the coordinate values of A and B to calculate the center opening angle corresponding to the arc between A and B This angle is the rotation angle of the rotating shaft 2 from A to B to be measured.

与自准直仪1相连的计算机4中存储有三个程序:程序I用于计算光点像质心坐标、并将光点像位置及其质心坐标显示于显示屏上;程序II用于驱动转轴2以两种模式转动,一是连续转动,二是以一定步长间歇转动,另外存储转轴2间歇转动一周后获得的一系列光点像质心坐标;程序III依据导入的转轴2间歇转动一周后获得的一系列坐标值拟合出轨迹圆及其圆心坐标、基于轨迹圆周上任意两点的坐标值算出两点间圆弧所对应的圆心张角。There are three programs stored in the computer 4 connected to the autocollimator 1: program I is used to calculate the coordinates of the center of mass of the light point image, and display the position of the light point image and the coordinates of the center of mass of the light point image on the display; program II is used to drive the rotating shaft 2 It rotates in two modes, one is continuous rotation, the other is intermittent rotation with a certain step length, and in addition, it stores a series of coordinates of the center of mass of the light point images obtained after the rotating shaft 2 intermittently rotates for a week; program III obtains the coordinates of the center of mass after rotating the shaft 2 intermittently for a week based on the import The trajectory circle and its center coordinates are fitted by a series of coordinate values, and the center opening angle corresponding to the arc between two points is calculated based on the coordinate values of any two points on the trajectory circle.

为保证转轴2转角的测量精度,测量系统的光路设计需使光点像的轨迹圆仅略小于自准直仪1的测量视场,为此自准直仪1的出射光光轴与转轴2的轴线平行、同时与反射镜3的法线平行,以使得轨迹圆的圆心基本是自准直仪1的视场中心,另外所述的光楔5的楔角可调,使得自准直仪1与反射镜3的距离在空间限定条件下确定后,能够通过调节光楔5的楔角使得轨迹圆直径与自准直仪1的视场直径接近。In order to ensure the measurement accuracy of the rotation angle of the rotation axis 2, the optical path design of the measurement system needs to make the trajectory circle of the light point image only slightly smaller than the measurement field of view of the autocollimator 1. parallel to the axis of the reflector 3 and parallel to the normal of the reflector 3, so that the center of the trajectory circle is basically the center of the field of view of the autocollimator 1, and the wedge angle of the optical wedge 5 is adjustable so that the autocollimator After the distance between 1 and reflector 3 is determined under the limited space conditions, the diameter of the trajectory circle can be made close to the diameter of the field of view of the autocollimator 1 by adjusting the wedge angle of the optical wedge 5 .

在本发明的方法中,虽然转轴2转动时轴系倾角回转误差会连带光楔5摆动,但由于光楔5的透射特性,使得入射光楔5的光束和反射光路中从光楔5出射的光束几乎不随之移动,尤其二者之间的偏折角β几乎不发生改变,即轴系倾角回转误差几乎不会使CCD面板上的光点像产生偏离轨迹圆的运动,从而提高了转轴2转角的测量精度。In the method of the present invention, although the inclination angle rotation error of the shaft system will cause the optical wedge 5 to swing when the rotating shaft 2 rotates, due to the transmission characteristics of the optical wedge 5, the light beam incident on the optical wedge 5 and the light emitted from the optical wedge 5 in the reflected light path The light beam hardly moves with it, especially the deflection angle β between the two hardly changes, that is, the inclination angle rotation error of the shaft system will hardly cause the spot image on the CCD panel to move away from the track circle, thereby improving the rotation angle of the shaft 2 measurement accuracy.

以下详细说明本发明对轴系倾角回转误差的抑制能力。设轴系倾角回转误差为α1,光楔5的楔角为γ、折射率为n、且为分析方便设为直角光楔。如图5所示,在α1作用下光楔5及其法线也摆动α1,导致自准直仪1到反射镜3的出射光路中经过光楔5的各个界面处产生系列折射角α2、α3、α4,且从反射镜3到自准直仪1的反射光路中也产生系列折射角β1、β2、β3、β4,最终使反射光路中出射光楔5的光束与自准直仪1的出射光束形成夹角Δβ+β=β4–α1,其中Δβ即为轴系倾角回转误差导致的偏折角β的误差量。Δβ越小,说明本发明对轴系倾角回转误差的抑制能力越强。The ability of the present invention to suppress the inclination rotation error of the shaft system will be described in detail below. Assume that the rotation error of the inclination angle of the shaft system is α 1 , the wedge angle of the optical wedge 5 is γ, the refractive index is n, and it is set as a right-angle optical wedge for the convenience of analysis. As shown in Figure 5, under the action of α 1 , the optical wedge 5 and its normal also swing α 1 , resulting in a series of refraction angles at each interface passing through the optical wedge 5 in the outgoing light path from the autocollimator 1 to the mirror 3 α 2 , α 3 , α 4 , and a series of refraction angles β 1 , β 2 , β 3 , β 4 are also generated in the reflected light path from the mirror 3 to the autocollimator 1, and finally the exit wedge 5 in the reflected light path The light beam and the outgoing beam of the autocollimator 1 form an included angle Δβ+β=β 4 −α 1 , where Δβ is the error amount of the deflection angle β caused by the rotation error of the inclination angle of the shaft system. The smaller the Δβ, the stronger the ability of the present invention to suppress the inclination angle rotation error of the shaft system.

根据光的折射关系得出如下方程:According to the refraction relationship of light, the following equation is obtained:

Δβ+β=β41(1)Δβ+β=β 41 (1)

sinαsinα 11 sinαsinα 22 == sinαsinα 44 sinαsinα 33 == sinβsinβ 11 sinβsinβ 22 == sinβsinβ 44 sinβsinβ 33 == nno -- -- -- (( 22 ))

α3=α2+γ(3)α 32 +γ(3)

β3=β2-γ(4)β 32 -γ(4)

1+γ=α4-γ(5)1 +γ=α 4 -γ(5)

将楔角γ和折射率n视为已知量,利用上述等式关系可以将Δβ表示为α1的函数。当设定γ=1800角秒、n=1.5,α1=0角秒时可计算出偏折角β=1800角秒;轴系倾角回转误差α1在0角秒~100角秒范围变化时,计算出Δβ与轴系倾角回转误差α1的关系曲线如图6所示。Considering the wedge angle γ and the refractive index n as known quantities, Δβ can be expressed as a function of α1 by using the above equation. When setting γ = 1800 arc seconds, n = 1.5, and α 1 = 0 arc seconds, the deflection angle β = 1800 arc seconds can be calculated; when the shaft system inclination angle rotation error α 1 changes in the range of 0 arc seconds to 100 arc seconds, Figure 6 shows the relationship curve between calculated Δβ and shaft system inclination angle rotation error α1.

由图6可知,偏折角β的误差量Δβ与轴系倾角回转误差α1近似为线性关系,斜率为4×10-5,即偏折角β的误差小于轴系倾角回转误差的1/10000。可见,本发明可有效抑制轴系倾角回转误差对光点像运行轨迹的影响,提高了转轴转角的测量精度。It can be seen from Fig. 6 that the error amount Δβ of the deflection angle β is approximately linear with the inclination rotation error α 1 of the shaft system, and the slope is 4×10 -5 , that is, the error of the deflection angle β is less than 1/10000 of the inclination rotation error of the shaft system. It can be seen that the present invention can effectively suppress the influence of the inclination angle rotation error of the shaft system on the running track of the light point image, and improve the measurement accuracy of the rotation angle of the rotating shaft.

附图说明Description of drawings

图1为背景技术中叙述的测量转轴转角的光路系统。其中1为自准直仪,2为转轴,3为反射镜,4为计算机。FIG. 1 is an optical system for measuring the rotation angle of a rotating shaft described in the background art. Wherein 1 is an autocollimator, 2 is a rotating shaft, 3 is a mirror, and 4 is a computer.

图2为测量转轴转角的基本原理以及测量误差分析图。当转轴2转动时光点像在自准直仪1中CCD14的面板上运动形成轨迹圆,以光点像在轨迹圆上的任一位置为原点建立直角坐标系,根据测试获得的系列圆周点坐标即可拟合出轨迹圆圆心坐标C,再利用圆周上测试起始点A和终点B的坐标值即可算出A与B间圆弧所对应的圆心张角该角度即为转轴2的转角。由于轴系倾角回转误差的存在,使得转角测量产生的测量误差。Figure 2 is the basic principle of measuring the rotation angle of the rotating shaft and the analysis diagram of the measurement error. When the rotating shaft 2 rotates, the light point image moves on the panel of CCD14 in the autocollimator 1 to form a trajectory circle, and the rectangular coordinate system is established with any position of the light point image on the trajectory circle as the origin, and the series of circular point coordinates obtained according to the test You can fit the center coordinate C of the trajectory circle, and then use the coordinate values of the test start point A and end point B on the circle to calculate the center opening angle corresponding to the arc between A and B This angle is the rotation angle of the rotating shaft 2 . Due to the existence of the shaft system inclination angle rotation error, the rotation angle measurement has measurement error.

图3为表明自准直仪1内部光学结构的示意图。其中11为平行光光源,12为分束器,13为透镜,14为CCD。FIG. 3 is a schematic diagram showing the internal optical structure of the autocollimator 1 . Wherein 11 is a parallel light source, 12 is a beam splitter, 13 is a lens, and 14 is a CCD.

图4为本发明中所提出的测量转轴转角的光路系统。其中5为固定在转轴2端面上的光楔,反射镜3置于光楔5之后垂直固定。光楔5的作用是使自准直1出射的光束发生偏折,使得转轴2转动时光点像仍沿着圆形轨迹运动。由于光楔5的透射特性,使得轴系倾角回转误差几乎不会使光点像产生偏离轨迹圆的运动,从而提高了转轴2转角的测量精度。FIG. 4 is an optical system for measuring the rotation angle of a rotating shaft proposed in the present invention. 5 is an optical wedge fixed on the end surface of the rotating shaft 2, and the mirror 3 is fixed vertically after being placed on the optical wedge 5. The function of the optical wedge 5 is to deflect the beam emitted from the autocollimator 1, so that the point image still moves along a circular trajectory when the rotating shaft 2 rotates. Due to the transmission characteristics of the optical wedge 5, the rotation error of the inclination angle of the shaft system will hardly cause the light spot image to move away from the track circle, thereby improving the measurement accuracy of the rotation angle of the rotating shaft 2 .

图5为本发明中轴系倾角回转误差对偏折角β的影响示意图。其中α1为轴系倾角回转误差,导致自准直仪1到反射镜3的出射光路中经过光楔5的各个界面处产生系列折射角α2、α3、α4,且从反射镜3到自准直仪1的反射光路中也产生系列折射角β1、β2、β3、β4,Δβ是α1引起的偏折角β的误差量,光楔5是楔角为γ、折射率为n的直角光楔。Fig. 5 is a schematic diagram of the influence of the shaft system inclination angle rotation error on the deflection angle β in the present invention. Among them, α 1 is the rotation error of the inclination angle of the shaft system, which causes a series of refraction angles α 2 , α 3 , and α 4 to be generated at each interface of the optical wedge 5 in the outgoing light path from the autocollimator 1 to the reflector 3, and from the reflector 3 3 also produces a series of refraction angles β 1 , β 2 , β 3 , β 4 in the reflected light path of the autocollimator 1, Δβ is the error amount of the deflection angle β caused by α 1 , and the optical wedge 5 is the wedge angle γ, A right-angled wedge of refractive index n.

图6为本发明中轴系倾角回转误差α1与偏折角误差量Δβ的关系曲线。Fig. 6 is the relationship curve between the shaft system inclination angle rotation error α 1 and the deflection angle error Δβ in the present invention.

图7为本发明和背景技术两种方法测量获得的蜗轮蜗杆机构中转轴2的转动轨迹圆,转轴2每转动4.5度测量一次。其中“+”为本发明的实测点,“o”为背景技术的实测点。Fig. 7 is the rotation track circle of the rotating shaft 2 in the worm gear mechanism measured by the two methods of the present invention and the background technology, and the rotating shaft 2 is measured every 4.5 degrees. Wherein "+" is the measured point of the present invention, and "o" is the measured point of the background technology.

图8是将图7数据进行处理,获得的本发明和背景技术测量蜗轮蜗杆机构中转轴2的转角测量误差,其中“+”为本发明的数据点,“o”为背景技术的数据点。转轴2的转动步长为4.5度时,出现的最大绝对误差分别为0.05度和1.45度、最大相对误差分别为1%和30%。Fig. 8 is the measurement error of the angle of rotation of shaft 2 in the worm gear mechanism of the present invention and the background technology obtained by processing the data in Fig. 7, wherein "+" is the data point of the present invention, and "o" is the data point of the background technology. When the rotation step of the rotating shaft 2 is 4.5 degrees, the maximum absolute errors are 0.05 degrees and 1.45 degrees, and the maximum relative errors are 1% and 30%, respectively.

具体实施方式detailed description

1)自准直仪1,为西安昂科光点技术有限公司的产品CollapexAC300,有效口径32mm,焦距300mm,成像视场50角分;1) Autocollimator 1 is CollapexAC300, a product of Xi'an Angke Spot Technology Co., Ltd., with an effective aperture of 32mm, a focal length of 300mm, and an imaging field of view of 50 arc minutes;

2)转轴2是蜗轮蜗杆机构中与蜗轮固定的空心转轴,用一个伺服电机驱动,伺服电机与计算机4相连;2) The rotating shaft 2 is a hollow rotating shaft fixed with the worm wheel in the worm gear mechanism, driven by a servo motor, and the servo motor is connected with the computer 4;

3)与自准直仪1相连的计算机4为自准直仪1的附带设备,其上安装了厂家给的程序I,程序I的功能为:在计算机4的显示屏上给出主界面,将光点像的位置以十字刻线显示在主界面上,十字刻线的中心位于光点像的质心,且十字刻线随光点像的位置变化而同步移动;建立直角坐标系,沿显示屏水平方向为x轴、沿显示屏竖直方向为y轴,单位均为角秒,在主界面上有“设置原点”的功能框,操作者选择一个十字刻线移动到的位置作为“当前位置”,在“设置原点”的功能框内输入“当前位置”,此位置即为该直角坐标系的原点;跟随十字刻线的位置计算和显示光点像质心的坐标(x,y),并能根据操作者的需要将测试点的坐标存储于计算机4中;3) the computer 4 that links to each other with autocollimator 1 is the incidental equipment of autocollimator 1, and the program 1 that producer is given is installed on it, and the function of program 1 is: provide main interface on the display screen of computer 4, The position of the spot image is displayed on the main interface as a reticle, the center of the reticle is located at the centroid of the spot image, and the reticle moves synchronously with the position of the spot image; establish a Cartesian coordinate system and move along the display The horizontal direction of the screen is the x-axis, and the vertical direction of the display screen is the y-axis. The units are arc seconds. There is a function box of "Set Origin" on the main interface. The operator selects a position where the cross mark moves to as the "current Position", input "current position" in the function box of "set origin", this position is the origin of the Cartesian coordinate system; follow the position of the cross reticle to calculate and display the coordinates (x, y) of the center of mass of the light spot image, And the coordinates of the test points can be stored in the computer 4 according to the needs of the operator;

4)光楔5为楔角可调节的双光楔补偿器,大恒光电有限公司的产品GCO-030211M,楔角调节范围为0~1度,在波长589nm处折射率为1.5,有效口径25mm;4) Optical wedge 5 is a double optical wedge compensator with adjustable wedge angle. The product GCO-030211M of Daheng Optoelectronics Co., Ltd. has a wedge angle adjustment range of 0 to 1 degree, a refractive index of 1.5 at a wavelength of 589nm, and an effective aperture of 25mm. ;

5)反射镜3的通光口径为25mm,固定反射镜3的底座上具有调节其俯仰和方位角度的调节机构;5) The light aperture of the reflector 3 is 25 mm, and the base of the fixed reflector 3 has an adjustment mechanism for adjusting its pitch and azimuth angle;

6)自编程序II输入到计算机4中,程序II控制转轴2的转动:开始,停止,转动速度,连续转动模式,转动步长为4.5度的间歇式转动模式;6) The self-edited program II is input into the computer 4, and the program II controls the rotation of the rotating shaft 2: start, stop, rotation speed, continuous rotation mode, and intermittent rotation mode with a rotation step size of 4.5 degrees;

7)自编程序III输入到计算机4中,将程序I中存储的转轴2转过一周的一系列测试点的坐标按顺序导入程序III中,程序III拟合出轨迹圆,计算出圆心坐标,并将此圆心坐标作为新原点换算出分布在轨迹圆上所有测试点相对新原点的坐标;根据操作者要求计算轨迹圆上任意两测试点间的转角;7) The self-edited program III is input into the computer 4, and the coordinates of a series of test points in which the rotating shaft 2 stored in the program I has been rotated for one week are imported into the program III in order, and the program III fits the trajectory circle, and calculates the coordinates of the center of the circle, And convert the coordinates of the center of the circle as the new origin to convert the coordinates of all test points distributed on the trajectory circle relative to the new origin; calculate the rotation angle between any two test points on the trajectory circle according to the operator's requirements;

8)首先用背景技术中介绍的方法按照图1搭建测量系统;反射镜3固定在转轴2的端面上,根据自准直仪1的参数计算出:反射镜3相对转轴2端面的倾角θ为11角分,自准直仪1的出光口与反射镜3之间的距离等于2.1米;按照这两个计算参数搭建好光路;开启自准直仪1、计算机4及程序I,使光点像进入自准直仪1的视场中,即十字刻线出现在计算机4的显示主界面上;开启程序II驱动转轴2连续转动,观查计算机4的显示主界面上十字刻线运动的轨迹圆,并微调节自准直仪1的位置,直至轨迹圆位于主界面显示框的中心对称位置,从而使自准直仪1出射光的光轴和转轴2的轴线平行;再微调节反射镜3与转轴2端面之间的夹角θ,再次驱动转轴2转动,直至看到十字刻线运动的轨迹圆略小于自准直仪1的视场,即基本为主界面显示框的内切圆;令十字刻线停留在轨迹圆的左下方,设置为原点;程序II驱动转轴2以4.5度为步长间歇式转动,同时程序I存储每步十字刻线的中心坐标值,当转轴2转过一周时,停止转轴2的转动;将测得的一系列测试点的坐标按顺序导入程序III中,拟合出轨迹圆,如图7所示,其中“o”代表上述技术即用背景技术方法获得的测试点,其轨迹圆圆心坐标为(1177.13″,875.06″),图中测试点的坐标为以轨迹圆圆心坐标为新原点的相对坐标;看出测试点相对于轨迹圆有明显的偏离,且分布不够均匀;利用相邻两测试点的坐标即可计算出每个步长所对应的圆心角,该角度即为背景技术方法测得的转轴2每步所转过的角度,将该值与转角步长做差,得到误差曲线如图8中“o”所连接的曲线,相对4.5度转角最大绝对误差为1.45度、最大相对误差达30%;8) At first use the method introduced in the background technology to build the measurement system according to Fig. 1; the mirror 3 is fixed on the end face of the rotating shaft 2, and calculates according to the parameters of the autocollimator 1: the inclination angle θ of the mirror 3 relative to the end face of the rotating shaft 2 is 11 arc minutes, the distance between the light outlet of the autocollimator 1 and the reflector 3 is equal to 2.1 meters; build the optical path according to these two calculation parameters; turn on the autocollimator 1, computer 4 and program I to make the light spot The image enters the field of view of the autocollimator 1, that is, the reticle appears on the main display interface of the computer 4; start the program II to drive the rotating shaft 2 to rotate continuously, and observe the movement track of the reticle on the main display interface of the computer 4 circle, and fine-tune the position of the autocollimator 1 until the trajectory circle is located at the central symmetrical position of the display frame of the main interface, so that the optical axis of the light emitted by the autocollimator 1 is parallel to the axis of the rotating shaft 2; then fine-tune the reflector The included angle θ between 3 and the end surface of the rotating shaft 2 is to drive the rotating shaft 2 to rotate again until the trajectory circle of the reticle movement is slightly smaller than the field of view of the autocollimator 1, which is basically the inscribed circle of the display frame of the main interface ; Make the reticle stay at the bottom left of the trajectory circle, and set it as the origin; program II drives the rotating shaft 2 to rotate intermittently with a step length of 4.5 degrees, and at the same time, program I stores the center coordinate value of the reticle at each step. After a week, stop the rotation of the shaft 2; import the measured coordinates of a series of test points into the program III in sequence, and fit the trajectory circle, as shown in Figure 7, where "o" represents the above-mentioned technology that is used Background technology The test point obtained by the method, the coordinates of the center of the track circle are (1177.13″, 875.06″), and the coordinates of the test point in the figure are relative coordinates with the center coordinates of the track circle as the new origin; deviation, and the distribution is not uniform enough; the center angle corresponding to each step can be calculated by using the coordinates of two adjacent test points, and this angle is the angle that the rotating shaft 2 rotates in each step measured by the method of the background technology. Make a difference between this value and the step length of the corner, and the error curve is as shown in the curve connected by "o" in Figure 8. The maximum absolute error relative to the 4.5-degree corner is 1.45 degrees, and the maximum relative error is 30%;

9)用本发明的方法按照图4搭建测量系统;基于步骤“8)”搭建的测量系统,从转轴2上拆下反射镜3,将楔角可调节的光楔5固定到转轴2的端面上;依据图4光路的参数算出自准直仪1的出光口与反射镜3的距离等于2.1米,光楔5的楔角为25角分;将反射镜3移至转轴2之后尽可能紧凑地放置、垂直固定在光学平台上,并使反射镜3的法线与转轴2的轴线平行;移动自准直仪1,使其与反射镜3之间距离为2.1米,并保持自准直仪1的光轴与转轴2平行,将光楔5的楔角调节为25角分;开启程序II驱动转轴2连续转动,观查计算机4的显示主界面上十字刻线运动的轨迹圆,并微调节自准直仪1的位置,直至轨迹圆位于主界面显示框的中心对称位置,从而使自准直仪1出射光的光轴和转轴2的轴线平行;再微调光楔5的楔角,再次驱动转轴2连续转动,直至看到十字刻线运动的轨迹圆略小于自准直仪1的视场,即基本为主界面显示框的内切圆;使用步骤“8)”中设置的原点;程序II驱动转轴2以4.5度为步长间歇式转动,同时程序I存储每步十字刻线的中心坐标值,当转轴2转过一周时,停止转轴2的转动;将测得的一系列测试点的坐标按顺序导入程序III中,拟合出轨迹圆,如图7所示,其中“+”代表用本发明方法获得的测试点,其轨迹圆圆心坐标为(1152.68″,909.12″),该轨迹圆基本与步骤“8)”获得的轨迹圆重合,图中测试点坐标也是以该轨迹圆圆心坐标为原点的相对坐标值;测试点“+”基本落于拟合的轨迹圆上,且分布均匀;利用相邻的“+”表示的两测试点的坐标即可计算出每个步长所对应的圆心角,该角度即为本发明方法测得的转轴2每步所转过的角度,将该值与转角步长做差,得到误差曲线如图8中“+”所连接的曲线,相对4.5度转角最大绝对误差0.05度,最大相对误差为1%。9) Use the method of the present invention to build a measurement system according to Fig. 4; based on the measurement system built in step "8)", remove the reflector 3 from the rotating shaft 2, and fix the optical wedge 5 with adjustable wedge angle to the end face of the rotating shaft 2 Above; according to the parameters of the optical path in Figure 4, the distance between the light outlet of the autocollimator 1 and the reflector 3 is calculated to be 2.1 meters, and the wedge angle of the optical wedge 5 is 25 arc minutes; after the reflector 3 is moved to the rotating shaft 2, it is as compact as possible place, vertically fixed on the optical table, and make the normal line of the mirror 3 parallel to the axis of the rotating shaft 2; move the autocollimator 1 so that the distance between it and the mirror 3 is 2.1 meters, and keep the autocollimation The optical axis of the instrument 1 is parallel to the rotating shaft 2, and the wedge angle of the optical wedge 5 is adjusted to 25 arc minutes; the program II is started to drive the rotating shaft 2 to rotate continuously, and the track circle of the cross reticle movement on the display main interface of the computer 4 is observed, and Finely adjust the position of the autocollimator 1 until the trajectory circle is located at the central symmetrical position of the display frame on the main interface, so that the optical axis of the light emitted by the autocollimator 1 is parallel to the axis of the rotating shaft 2; then fine-tune the wedge angle of the optical wedge 5 , drive the rotating shaft 2 to rotate continuously until the trajectory circle of the reticle movement is slightly smaller than the field of view of the autocollimator 1, which is basically the inscribed circle of the display frame of the main interface; use the value set in step "8)" Origin; program II drives the rotating shaft 2 to rotate intermittently with a step length of 4.5 degrees, and at the same time, program I stores the center coordinate value of the cross reticle at each step. The coordinates of a series of test points are imported in the program III in order, and the trajectory circle is fitted, as shown in Figure 7, wherein "+" represents the test point obtained with the method of the present invention, and its trajectory circle center coordinates are (1152.68 ", 909.12 " ), the trajectory circle basically coincides with the trajectory circle obtained in step "8)", and the coordinates of the test points in the figure are also relative coordinate values with the center coordinates of the trajectory circle as the origin; the test point "+" basically falls on the fitted trajectory circle above, and evenly distributed; the coordinates of the two test points represented by the adjacent "+" can be used to calculate the central angle corresponding to each step, and this angle is the rotation of the rotating shaft 2 per step measured by the method of the present invention. The difference between this value and the step length of the corner is calculated to obtain the error curve as shown in Fig. 8, the curve connected by "+", the maximum absolute error is 0.05 degrees relative to the 4.5 degree corner, and the maximum relative error is 1%.

对比本发明与背景技术两种方法的测量误差,说明本发明很好地抑制了轴系倾角回转误差对测量结果的影响,转轴转角的测量精度很高。Comparing the measurement errors of the two methods of the present invention and the background technology, it shows that the present invention can well suppress the influence of the shaft system inclination angle rotation error on the measurement result, and the measurement accuracy of the rotating shaft angle is very high.

Claims (2)

1.一种抑制轴系倾角回转误差的转轴转角的测量方法,其特征是一种基于光楔折射的转轴转角测量方法,测量转轴转角的光学系统由自准直仪(1)、转轴(2)、反射镜(3)、计算机(4)和光楔(5)组成,自准直仪(1)与计算机(4)相连;光楔(5)固定在转轴(2)的端面上,反射镜(3)置于转轴(2)之后垂直固定、且使反射镜(3)的法线与转轴(2)的轴线平行,;带有光楔(5)的转轴(2)置于自准直仪(1)和反射镜(3)之间;自准直仪(1)发出的光束依次经过光楔(5)的折射和反射镜(3)的反射,反射光束再经光楔(5)的折射、与自准直仪(1)的出射光束形成偏折角β返回自准直仪(1)中,并汇聚成光点像;当转轴(2)和光楔(5)一体转动时,反射光束绕着转轴(2)的轴线转动,自准直仪(1)中的光点像沿着圆形轨迹运动;计算机(4)记录转轴(2)转动一周后获得的一系列均匀分布在圆周上的光点像质心坐标、拟合出轨迹圆圆心坐标,再利用圆周上任意起始点A和终点B的坐标值计算出A与B间圆弧所对应的圆心张角φi,该角度即为转轴(2)由A到B的转角;1. A method for measuring the rotating shaft angle of rotation that suppresses the inclination angle of the shaft system is characterized in that it is a method for measuring the rotating shaft angle based on optical wedge refraction, and the optical system for measuring the rotating shaft angle consists of an autocollimator (1), a rotating shaft (2 ), a reflector (3), a computer (4) and an optical wedge (5), the autocollimator (1) is connected to the computer (4); the optical wedge (5) is fixed on the end face of the rotating shaft (2), and the reflector (3) After being placed on the rotating shaft (2), it is vertically fixed, and the normal line of the mirror (3) is parallel to the axis of the rotating shaft (2); the rotating shaft (2) with the optical wedge (5) is placed on the self-collimating Between the instrument (1) and the reflector (3); the light beam emitted by the autocollimator (1) passes through the refraction of the optical wedge (5) and the reflection of the reflector (3) in turn, and the reflected beam passes through the optical wedge (5) The refraction, and the outgoing beam of the autocollimator (1) form a deflection angle β to return to the autocollimator (1), and converge into a light point image; when the rotating shaft (2) and the optical wedge (5) rotate together, the reflection The light beam rotates around the axis of the rotating shaft (2), and the light point image in the autocollimator (1) moves along a circular trajectory; the computer (4) records a series of images evenly distributed on the circumference of the circle obtained after the rotating shaft (2) rotates once. The coordinates of the center of mass of the light spot on the image, the coordinates of the center of the trajectory circle are fitted, and then the coordinates of any starting point A and end point B on the circle are used to calculate the center opening angle φ i corresponding to the arc between A and B. The angle is is the rotation angle of the rotating shaft (2) from A to B; 计算机(4)中存储有三个程序:程序I用于计算光点像质心坐标、并将光点像位置及其质心坐标显示于显示屏上;程序II用于驱动转轴(2)以两种模式转动,一是连续转动,二是以一定步长间歇转动,另外存储转轴(2)间歇转动一周后获得的一系列光点像质心坐标;程序III依据导入的转轴(2)间歇转动一周后获得的一系列坐标值拟合出轨迹圆及其圆心坐标、基于轨迹圆周上任意两点的坐标值算出两点间圆弧所对应的圆心张角;There are three programs stored in the computer (4): program I is used to calculate the coordinates of the center of mass of the light spot image, and displays the position of the light spot image and the coordinates of the center of mass thereof on the display screen; program II is used to drive the rotating shaft (2) in two modes Rotation, one is continuous rotation, and the other is intermittent rotation with a certain step length. In addition, a series of coordinates of the center of mass of the light point images obtained after the rotating shaft (2) is intermittently rotated for one cycle are stored; program III is obtained after the imported rotating shaft (2) is intermittently rotated for one cycle. A series of coordinate values to fit the trajectory circle and its center coordinates, and calculate the center opening angle corresponding to the arc between the two points based on the coordinate values of any two points on the trajectory circle; 为保证转轴(2)转角的测量精度,测量系统的光路设计需使光点像的轨迹圆仅略小于自准直仪(1)的测量视场,为此自准直仪(1)的出射光光轴与转轴(2)的轴线平行、同时与反射镜(3)的法线平行,以使得轨迹圆的圆心基本是自准直仪(1)的视场中心,另外所述的光楔(5)的楔角可调,使得自准直仪(1)与反射镜(3)的距离在空间限定条件下确定后,能够通过调节光楔(5)的楔角使得轨迹圆直径与自准直仪(1)的视场直径接近。In order to ensure the measurement accuracy of the rotation angle of the rotating shaft (2), the optical path design of the measurement system needs to make the trajectory circle of the light point image only slightly smaller than the measurement field of view of the autocollimator (1). Therefore, the output of the autocollimator (1) The optical axis of the emitted light is parallel to the axis of the rotating shaft (2) and parallel to the normal of the reflector (3), so that the center of the trajectory circle is basically the center of the field of view of the autocollimator (1). In addition, the optical wedge The wedge angle of (5) is adjustable, so that after the distance between the autocollimator (1) and the reflector (3) is determined under space-limited conditions, the diameter of the trajectory circle and the autocollimator can be adjusted by adjusting the wedge angle of the optical wedge (5). The field of view diameter of the collimator (1) is close to. 2.根据权利要求1所述的一种抑制轴系倾角回转误差的转轴转角的测量方法,其特征是:2. a kind of measuring method of the shaft rotation angle that suppresses shafting inclination angle rotation error according to claim 1 is characterized in that: 所述的自准直仪(1),有效口径32mm,焦距300mm,成像视场50角分;The autocollimator (1) has an effective diameter of 32mm, a focal length of 300mm, and an imaging field of view of 50 arc minutes; 所述的光楔(5)为楔角可调节的双光楔补偿器,楔角调节范围为0~1度,在波长589nm处折射率为1.5,有效口径25mm;The optical wedge (5) is a double optical wedge compensator with an adjustable wedge angle, the adjustment range of the wedge angle is 0-1 degree, the refractive index is 1.5 at a wavelength of 589nm, and the effective aperture is 25mm; 所述的反射镜(3)的通光口径为25mm,固定反射镜(3)的底座上具有调节其俯仰和方位角度的调节机构;The light aperture of the reflector (3) is 25mm, and the base of the fixed reflector (3) has an adjustment mechanism for adjusting its pitch and azimuth angle; 所述的程序II控制转轴(2)的转动:开始,停止,转动速度,连续转动模式,转动步长为4.5度的间歇式转动模式;Said program II controls the rotation of the rotating shaft (2): start, stop, rotation speed, continuous rotation mode, intermittent rotation mode with a rotation step size of 4.5 degrees; 所述的程序III,利用相邻的两测试点的坐标计算出每个步长所对应的圆心角,将该值与转角步长做差,得到误差曲线,得出相对4.5度转角最大绝对误差0.05度,最大相对误差为1%。The procedure III uses the coordinates of two adjacent test points to calculate the central angle corresponding to each step, and makes a difference between this value and the corner step to obtain the error curve, and obtains the maximum absolute error relative to the 4.5-degree corner 0.05 degrees, the maximum relative error is 1%.
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CN109520446A (en) * 2018-12-14 2019-03-26 中国航空工业集团公司北京长城航空测控技术研究所 A kind of measurement method of revolution at a high speed shafting dynamic inclination error
CN109470178A (en) * 2018-12-27 2019-03-15 赛纳生物科技(北京)有限公司 An optical system assembly angle detection device and method thereof
CN110987060A (en) * 2019-11-01 2020-04-10 上海卫星工程研究所 Rotating shaft monitoring equipment suitable for mounting matrix calibration of magnetometer and attitude measuring instrument
CN110987060B (en) * 2019-11-01 2021-07-13 上海卫星工程研究所 Rotating shaft monitoring equipment suitable for mounting matrix calibration of magnetometer and attitude measuring instrument
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CN111238408A (en) * 2020-02-28 2020-06-05 中国科学院上海技术物理研究所 Device and method for rapidly measuring parallelism of parallel flat plate
CN111238409A (en) * 2020-02-28 2020-06-05 中国科学院上海技术物理研究所 A device and method for measuring the wedge angle of a large-angle optical wedge with high precision
CN111442743A (en) * 2020-05-27 2020-07-24 中科院南京天文仪器有限公司 Wedge-shaped flat plate included angle measuring device and method based on photoelectric autocollimator
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