CN101221031A - New high-precision spherical multi-parameter measuring instrument and its precision adjustment method - Google Patents
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Abstract
Description
技术领域technical field
本发明属于一种测量仪器,具体是一种高精度球体测量仪器。The invention belongs to a measuring instrument, in particular to a high-precision sphere measuring instrument.
背景技术Background technique
球体是机械中一个非常重要的基本形体,高精度球体广泛应用于航空航天、国防装备等上的各种精密仪器设备。几何学定义球面为三维空间中到定点距离为常数的点的集合,但是实际的球面与几何学上定义的理想球面是有差异的,这就是球度误差,它是一个反映实际球面偏离理想球面大小程度的一个综合指标。相关研究表明,球度误差不仅给各种精密仪器带来很大能量损耗,引起结构形体的热变形,还对仪器的使用性能产生很大影响。因此球度误差的检测至关重要,但球度的高精密测量一直困扰着各国的科研人员。二十世纪七十年代以来,国外许多学者提出并研制了相应的高精度球度误差的测量装置,而我国的球度误差高精度测量装置目前还处于初级阶段。The sphere is a very important basic shape in machinery. High-precision spheres are widely used in various precision instruments and equipment in aerospace and national defense equipment. Geometry defines a sphere as a collection of points whose distance to a fixed point is a constant in three-dimensional space, but the actual sphere is different from the ideal sphere defined in geometry. This is the spherical error, which is a reflection of the deviation of the actual sphere from the ideal sphere. A composite indicator of size. Relevant studies have shown that the sphericity error not only brings a lot of energy loss to various precision instruments, causes thermal deformation of the structure, but also has a great impact on the performance of the instrument. Therefore, the detection of sphericity error is very important, but the high-precision measurement of sphericity has been perplexing researchers from all over the world. Since the 1970s, many foreign scholars have proposed and developed corresponding high-precision measuring devices for spherical errors, but the high-precision measuring devices for spherical errors in my country are still in their infancy.
目前球体参数的高精度测量方法主要有三坐标测量法、圆度仪测量法、几何法等。坐标测量法根据坐标测量原理,4点定球心,从而确定球的半径,然而测量机的测量精度不但不能满足高精度的球度误差检测要求,而且测量机价格昂贵,操作复杂,不适合大批量测量。圆度仪测量法是将被测球和专用夹具一起放在圆度仪的工作台上,测量时将球在支座上多次转位,在每个位置测量赤道圆的圆度来评定球度误差。测量时必须多次转位,导致赤道圆的选取是随机的,影响测量精度,并且圆度仪价格昂贵,而且只能测量球度,不能测量球体直径。几何测量法是便携式仪器测量的基础,通过检测球上某一扇区的高度把三维球的问题转化为立体几何问题,该方法是通过球上某一局部扇区来评定球度误差,测量位置的选取对测量精度影响较大,而且测量时球表面在测力作用下产生局部接触变形,影响测量精度。At present, the high-precision measurement methods of sphere parameters mainly include three-coordinate measurement method, roundness meter measurement method, geometric method and so on. The coordinate measurement method is based on the principle of coordinate measurement, and the center of the sphere is determined at 4 points, so as to determine the radius of the sphere. However, the measurement accuracy of the measuring machine can not meet the high-precision spherical error detection requirements, and the measuring machine is expensive and complicated to operate, which is not suitable for large Batch measurement. The roundness meter measurement method is to put the ball under test and the special fixture together on the workbench of the roundness meter, turn the ball on the support several times during the measurement, and measure the roundness of the equatorial circle at each position to evaluate the ball degree error. It must be indexed many times during the measurement, resulting in the random selection of the equatorial circle, which affects the measurement accuracy, and the roundness meter is expensive, and can only measure the sphericity, not the diameter of the sphere. The geometric measurement method is the basis of portable instrument measurement. By detecting the height of a certain sector on the sphere, the problem of the three-dimensional sphere is transformed into a three-dimensional geometric problem. The selection of has a great influence on the measurement accuracy, and the surface of the ball produces local contact deformation under the action of the force during measurement, which affects the measurement accuracy.
上述测量方法测量点的选取都有随机性,其共同缺点是:测头在运动或球体在转位过程中,所得的球心在变化移动,即每个测点所得半径都不是从同一点出发的,也就是所谓的“无心”,故存在较大的原理误差。The selection of the measurement points of the above measurement methods is random, and their common disadvantage is that the center of the sphere obtained is changing and moving during the movement of the probe or the inversion of the sphere, that is, the radius obtained by each measurement point does not start from the same point , which is the so-called "unintentional", so there is a large principle error.
发明内容Contents of the invention
鉴于以上测量方法的缺点,本发明提供了新型高精度球体多参数测量仪及其精度调整方法,既能测量球体直径,又能测量球度误差,而且适用于内外球面的测量。In view of the shortcomings of the above measurement methods, the present invention provides a new type of high-precision sphere multi-parameter measuring instrument and its precision adjustment method, which can not only measure the diameter of the sphere, but also measure the sphericity error, and is suitable for the measurement of the inner and outer spheres.
本发明的技术方案如下:Technical scheme of the present invention is as follows:
新型高精度球体多参数测量仪,其特征在于包括有底座,底座上安装有垂直旋转轴系构成转台,垂直旋转轴系上安装有锥窝夹具,底座上锥窝夹具一侧安装有立柱,所述的立柱上有可上下滑动的滑块,滑块与立柱上有上下调整及锁紧的机构,所述的滑块上安装有水平旋转轴系,水平旋转轴系上安装有旋转臂,所述的旋转臂上安装有高精度测头,所述的垂直旋转轴系与水平旋转轴系垂直正交,所述的测头位于锥窝夹具的正上方。The new high-precision sphere multi-parameter measuring instrument is characterized in that it includes a base, on which a vertical rotating shaft is installed to form a turntable, on which a cone dimple clamp is installed, and a column is installed on one side of the cone dimple clamp on the base, so There is a slider on the column that can slide up and down, and a mechanism for adjusting and locking up and down on the slider and the column. The slider is equipped with a horizontal rotation shaft system, and a rotating arm is installed on the horizontal rotation shaft system. A high-precision measuring head is installed on the rotating arm, the vertical rotating shaft system is perpendicular to the horizontal rotating shaft system, and the measuring head is located directly above the cone socket fixture.
所述的新型高精度球体多参数测量仪,其特征在于所述的旋转臂上安装的测头指向球心或背向球心,分别用于测量外球面或内球面。The new high-precision sphere multi-parameter measuring instrument is characterized in that the measuring head installed on the rotating arm points to the center of the sphere or faces away from the center of the sphere, and is used to measure the outer spherical surface or the inner spherical surface respectively.
所述的新型高精度球体多参数测量仪的精度调整方法,其特征在于包括:The accuracy adjustment method of the novel high-precision sphere multi-parameter measuring instrument is characterized in that it includes:
(1)、测量外球面时,测头在水平方向的调整与垂直方向的调整,水平方向的调整为:测外径为2R的外球面时,首先用高精度的量块叠排成一个长度为2R的量块组,放在锥窝上,使得测头在水平方向上反复测量量块组两端的的两个工作面,通过调整量块组的位置和测头的装夹位置,最后使得测头在量块组的两个工作面的测量值为零,此表示测头在水平方向调整准确;垂直方向的调整为:测量外径为2R的外球面时,首先叠放一个长度为D量块组,将它垂直放在锥窝的上平面上,调整滑块位置,使得测头在垂直状态测量量块组的上表面,测头的示值为d,反复调整滑块的位置,使得量块组的长度D和测头的示值d应满足,此时表示测头垂直调整准确:(1) When measuring the outer spherical surface, the adjustment of the probe in the horizontal direction and the vertical direction, the adjustment in the horizontal direction is: when measuring the outer spherical surface with an outer diameter of 2R, first use high-precision gauge blocks to form a length It is a 2R gauge block group, placed on the cone socket, so that the probe repeatedly measures the two working surfaces at both ends of the gauge block group in the horizontal direction, by adjusting the position of the gauge block group and the clamping position of the probe, finally make The measurement value of the probe on the two working surfaces of the gauge block group is zero, which means that the probe is adjusted accurately in the horizontal direction; the adjustment in the vertical direction is: when measuring an outer spherical surface with an outer diameter of 2R, first stack a length D For the gauge block group, place it vertically on the upper plane of the cone socket, adjust the position of the slider so that the probe measures the upper surface of the gauge block group in a vertical state, the indication value of the probe is d, and adjust the position of the slider repeatedly, So that the length D of the gauge block group and the indication value d of the probe should meet, at this time, it means that the vertical adjustment of the probe is accurate:
D+d=HD+d=H
式中R为被测球体的外球面半径,H为外球面最高点到锥窝上平面的距离,h为锥窝的深度,α为锥窝锥角;In the formula, R is the radius of the outer spherical surface of the measured sphere, H is the distance from the highest point of the outer spherical surface to the upper plane of the cone, h is the depth of the cone, and α is the cone angle of the cone;
(2)、测量内球面时,测头在水平方向的调整与垂直方向的调整,水平方向的调整为:测定内径为2R的内球面时,首先用量块夹装夹高精度的量块叠排成一个长度为2R的量块组,放在锥窝上,使得测头在水平方向上反复测量量块夹两端的的两个工作面,通过调整量块夹的位置和测头的装夹位置,最后使得测头在量块夹的两个工作面测量值为零,此表示测头在水平方向调整准确;垂直方向的调整为:测量内径为2R的内球面时,首先用量块夹装夹高精度的量块叠排成一个长度为D的量块组,将它们垂直放在锥窝的上平面上,调整滑块位置,使得测头在垂直状态测量量块夹的上工作面,测头的示值为d,反复调整滑块的位置,使得量块组的长度D和测头的示值d应满足,此时表示测头垂直调整准确:(2) When measuring the inner spherical surface, the adjustment of the measuring head in the horizontal direction and the vertical direction, the adjustment in the horizontal direction is: when measuring the inner spherical surface with an inner diameter of 2R, first use the gauge block to clamp the high-precision gauge block stack Form a gauge block group with a length of 2R and place it on the cone socket so that the probe can repeatedly measure the two working surfaces at both ends of the gauge block clamp in the horizontal direction. By adjusting the position of the gauge block clamp and the clamping position of the probe , and finally make the measured value of the probe on the two working surfaces of the gauge block clamp be zero, which means that the probe is adjusted accurately in the horizontal direction; the adjustment in the vertical direction is: when measuring an inner spherical surface with an inner diameter of 2R, first clamp it with the gauge block The high-precision gauge blocks are stacked to form a gauge block group with a length of D, and they are placed vertically on the upper plane of the cone socket, and the position of the slider is adjusted so that the measuring head measures the upper working surface of the gauge block clamp in a vertical state, and measures The indication value of the probe is d, and the position of the slider is adjusted repeatedly, so that the length D of the gauge block group and the indication value d of the probe should meet, which means that the vertical adjustment of the probe is accurate:
D+d=H-mD+d=H-m
式中R内为被测内球面的公称球半径,R为其外球面的半径,H为内球面最高In the formula, R is the nominal radius of the inner sphere to be tested, R is the radius of the outer sphere, and H is the highest diameter of the inner sphere.
点到锥窝上表面的距离,h为锥窝的深度,m为量块夹夹脚的厚度,α为锥窝锥角。The distance from the point to the upper surface of the cone, h is the depth of the cone, m is the thickness of the clamping feet of the gauge block, and α is the cone angle of the cone.
测头装夹在旋转臂上并能随其绕水平轴系旋转中心转动,水平轴系可做上下调整运动,被测球体使用锥窝夹具装夹固定,锥窝夹具固定在垂直轴系转台上,测量时,被测球体绕垂直轴系旋转实现纬线转位,测头绕水平轴系旋转实现经线测量。The measuring head is clamped on the rotating arm and can rotate with it around the rotation center of the horizontal axis system. The horizontal axis system can be adjusted up and down. The measured ball is clamped and fixed by the cone socket fixture, and the cone socket fixture is fixed on the vertical axis system turntable. , during measurement, the measured sphere rotates around the vertical axis to achieve latitude indexing, and the probe rotates around the horizontal axis to achieve longitude measurement.
几何学把球面定义为半圆绕其直径一周后所形成的表面,也即三维空间中到定点距离为常数的点的集合。球面由双回转运动合成,本发明主要有两垂直正交的高精密轴系、测头系统和数据处理等部分组成,适用于不同直径球体的球径和球度测量,而且通过更换旋转臂对内外球面都可以进行测量,精度很高。Geometry defines a sphere as a surface formed by a semicircle around its diameter, that is, a collection of points whose distance to a fixed point is constant in three-dimensional space. The spherical surface is synthesized by double rotary motion. The present invention is mainly composed of two vertical and orthogonal high-precision shaft systems, a measuring head system and data processing. Both inner and outer spherical surfaces can be measured with high precision.
附图说明Description of drawings
图1为本发明结构方案示意图。Fig. 1 is a schematic diagram of the structural scheme of the present invention.
图1(a)为测外球面结构图,图1(b)为测内球面结构图Figure 1(a) is the structure diagram of measuring the outer sphere, and Figure 1(b) is the structure diagram of measuring the inner sphere
图2为本发明进行测头水平方向调整时结构图。Fig. 2 is a structural diagram of the present invention when the measuring head is adjusted in the horizontal direction.
图2(a)为测外球面示意,图2(b)为测内球面示意Figure 2(a) is a schematic diagram of measuring the outer spherical surface, and Figure 2(b) is a schematic diagram of measuring the inner spherical surface
图3为本发明进行测头垂直方向调整时结构图。Fig. 3 is a structural diagram of the present invention when the measuring head is adjusted in the vertical direction.
图3(a)为测外球面示意,图3(b)为测内球面示意Figure 3(a) is a schematic diagram of measuring the outer spherical surface, and Figure 3(b) is a schematic diagram of measuring the inner spherical surface
具体实施方式Detailed ways
参见图1。新型高精度球体多参数测量仪,包括有底座1,底座1上安装有垂直旋转轴系8,垂直旋转轴8构成转台结构,其上端安装有锥窝夹具2,底座上锥窝夹具2一侧安装有立柱3,所述的立柱3上有可上下滑动的滑块4,滑块4与立柱3有上下调整及锁紧机构5,所述的滑块4上安装有水平旋转轴系9,所述的水平旋转轴系9上安装有旋转臂6,所述的旋转臂6上安装有测头7,所述的测头7位于锥窝夹具2的正上方。所述的测头为高精度测头,所述的锥窝夹具锥底角度为120°,所述的旋转臂6可以根据测量外球面与内球面的不同进行更换。See Figure 1. The new high-precision sphere multi-parameter measuring instrument includes a base 1, on which a vertical
测量不同直径的球体时为了保证测头都使用在测量范围内,要对测头在旋转臂上的装夹位置进行调整,调整方法分述如下:When measuring spheres with different diameters, in order to ensure that the probe is used within the measurement range, the clamping position of the probe on the rotating arm should be adjusted. The adjustment method is as follows:
(1)、测量外球面时,测头在水平方向的调整与垂直方向的调整:(1) When measuring the outer spherical surface, the adjustment of the probe in the horizontal direction and the vertical direction:
水平方向的调整为,参见图2(a):测外径为2R的外球面时,首先用高精度的量块叠排成一个长度为2R的量块组,放在锥窝上,使得测头在水平方向上反复测量量块组两端的的两个工作面,通过调整量块组的位置和测头的装夹位置,最后使得测头在量块组的两个工作面的测量值为零,此表示测头在水平方向调整准确;The adjustment in the horizontal direction is as follows, see Figure 2(a): When measuring an outer spherical surface with an outer diameter of 2R, first use high-precision gauge blocks to form a gauge block group with a length of 2R, and place it on the cone socket so that the measurement The head repeatedly measures the two working surfaces at both ends of the gauge block group in the horizontal direction. By adjusting the position of the gauge block group and the clamping position of the probe, the measured value of the probe on the two working surfaces of the gauge block group is finally Zero, which means that the probe is adjusted accurately in the horizontal direction;
垂直方向的调整为,参见图3(a):测量外径为2R的外球面时,首先叠放一个长度为D量块组,将它垂直放在锥窝的上平面上,调整滑块位置,使得测头在垂直状态测量量块组的上表面,测头的示值为d,反复调整滑块的位置,使得量块组的长度D和测头的示值d应满足,此时表示测头垂直调整准确:The adjustment in the vertical direction is as shown in Figure 3(a): When measuring the outer spherical surface with an outer diameter of 2R, first stack a set of gauge blocks with a length of D, place it vertically on the upper plane of the cone socket, and adjust the position of the slider , so that the probe measures the upper surface of the gauge block group in a vertical state, and the indication value of the probe is d, and the position of the slider is adjusted repeatedly, so that the length D of the gauge block group and the indication value d of the probe should satisfy, at this time, Accurate vertical adjustment of the probe:
D+d=HD+d=H
式中R为被测球体的外球面半径,H为外球面最高点到锥窝上表面的距离,h为锥窝的深度,α为锥窝锥角。In the formula, R is the radius of the outer spherical surface of the measured sphere, H is the distance from the highest point of the outer sphere to the upper surface of the cone, h is the depth of the cone, and α is the cone angle of the cone.
(2)、测量内球面时,测头在水平方向的调整与垂直方向的调整:(2) When measuring the inner spherical surface, the adjustment of the probe in the horizontal direction and the vertical direction:
水平方向的调整为,参见图2(b):测定内径为2R的内球面时,首先用量块夹装夹高精度的量块叠排成一个长度为2R的量块组,放在锥窝上,使得测头在水平方向上反复测量量块夹两端的的两个工作面,通过调整量块夹的位置和测头的装夹位置,最后使得测头在量块夹的两个工作面测量值为零,此表示测头在水平方向调整准确;The adjustment in the horizontal direction is as shown in Figure 2(b): When measuring the inner spherical surface with an inner diameter of 2R, first use the gauge block clamp to clamp high-precision gauge blocks and stack them into a gauge block group with a length of 2R, and place them on the cone socket , so that the probe repeatedly measures the two working surfaces at both ends of the gauge block clamp in the horizontal direction, and finally makes the probe measure on the two working surfaces of the gauge block clamp by adjusting the position of the gauge block clamp and the clamping position of the probe The value is zero, which means that the probe is adjusted accurately in the horizontal direction;
垂直方向的调整为,参见图3(b):测量内径为2R的内球面时,首先用量块夹装夹高精度的量块叠排成一个长度为D的量块组,将它们垂直放在锥窝的上平面上,调整滑块位置,使得测头在垂直状态测量量块夹的上工作面,测头的示值为d,反复调整滑块的位置,使得量块组的长度D和测头的示值d应满足,此时表示测头垂直调整准确:The adjustment in the vertical direction is as shown in Figure 3(b): When measuring an inner spherical surface with an inner diameter of 2R, first use a gauge block clamp to clamp high-precision gauge blocks and stack them into a gauge block group with a length of D, and place them vertically on the On the upper plane of the cone socket, adjust the position of the slider so that the probe measures the upper working surface of the gauge block clamp in a vertical state. The indication value of the probe is d. Repeatedly adjust the position of the slider so that the length D and The indication value d of the probe should meet the requirements, which means that the vertical adjustment of the probe is accurate:
D+d=H-mD+d=H-m
式中R内为被测内球面的公称球半径,R为其外球面的半径,H为内球面最高点到锥窝上表面的距离,h为锥窝的深度,m为量块夹夹脚的厚度,α为锥窝锥角。In the formula, R is the nominal spherical radius of the inner sphere to be tested, R is the radius of the outer sphere, H is the distance from the highest point of the inner sphere to the upper surface of the cone socket, h is the depth of the cone socket, and m is the clamping foot of the gauge block The thickness, α is the cone angle of the cone.
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CN112461181A (en) * | 2020-11-16 | 2021-03-09 | 中国航空工业集团公司洛阳电光设备研究所 | Method for accurately measuring radius of spherical segment by using three-coordinate measuring machine |
CN112378321A (en) * | 2020-12-09 | 2021-02-19 | 李国军 | Large-scale ball radian detection device |
CN114034247A (en) * | 2021-11-18 | 2022-02-11 | 哈尔滨工业大学 | High-precision sphericity instrument based on spherical coordinate measuring principle |
CN114152236A (en) * | 2021-11-18 | 2022-03-08 | 哈尔滨工业大学 | High-precision sphericity measuring method based on spherical coordinate sphericity instrument |
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