CN106989706B - A method and device for measuring and calculating the center of a high-precision circular suit - Google Patents

A method and device for measuring and calculating the center of a high-precision circular suit Download PDF

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CN106989706B
CN106989706B CN201710148871.1A CN201710148871A CN106989706B CN 106989706 B CN106989706 B CN 106989706B CN 201710148871 A CN201710148871 A CN 201710148871A CN 106989706 B CN106989706 B CN 106989706B
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circle
measuring
point
measuring probe
mobile platform
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CN106989706A (en
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姚世选
李论
张旭
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Dalian Jiaotong University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/402Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by control arrangements for positioning, e.g. centring a tool relative to a hole in the workpiece, additional detection means to correct position

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Human Computer Interaction (AREA)
  • Manufacturing & Machinery (AREA)
  • Automation & Control Theory (AREA)
  • Length Measuring Devices With Unspecified Measuring Means (AREA)

Abstract

The object of the present invention is to provide one kind in, the high-precision center of circle measuring method and device that large-scale circular workpiece is needed to operate the heart on large-size numerical control machine, measuring device includes pedestal mobile platform (1), limit switch (2), Y-axis mobile platform (3), X-axis mobile platform (4), mechanical handwheel (5), rotary shaft (6), servo motor (7), it measures axis (8), contact type measurement pops one's head in (9), controller 10, there are two freedom degrees for pedestal mobile platform (1), the X-axis mobile platform (4) of the X-direction of i.e. parallel mechanical pedestal, with the Y-axis mobile platform (3) of the Y direction of vertical mechanical pedestal, workpiece effectively can be moved to any position, measuring axis (8), there are two freedom degrees, direction is as pedestal mobile platform, to carry out the measurement of measuring point coordinate;Rotary shaft can move up and down, so that measuring probe can be deep to down on the inside of round piece;Controller (10) is used to control the motion profile of measuring probe, is mounted on upright post base surface, the intersection in pedestal mobile platform (1) and column, bus is connected to servo motor (7) along column.

Description

一种用于高精度圆形套装的圆心测算方法及装置A method and device for measuring and calculating the center of a high-precision circular suit

技术领域technical field

本发明涉及一种用于高精度圆形套装的圆心测算方法及装置,特别是涉及用于装配高精度圆形工件的中、大型数控机床。The invention relates to a method and device for measuring and calculating the center of a high-precision circular suit, in particular to medium and large numerically controlled machine tools for assembling high-precision circular workpieces.

背景技术Background technique

在数控领域中,对两个大型圆形工件需要对心操作时的对心方法为:选用寻边器触碰其中一个空心圆形工件内部上任意三点,将这三个点的机械坐标存入数控系统变量中,由于三点可以确定一个圆,通过数控系统内部集成的函数来计算出圆心坐标。上述方法虽然可以确定圆心坐标,但在实际应用时,计算所得圆心的坐标与真实坐标之间的误差很大,首先是三点分布不能达到最优分布要求,这样求取的圆心坐标会有较大误差;其次系统内部海量的数据导致占用内存很大,难以满足实时性较高的圆心测算;最后在中、大型数控机床进行装配时使用寻边器进行圆心定位的应用甚少,使用寻边器进行圆心定位更多的局限于加工中心。In the field of numerical control, the centering method for two large circular workpieces is as follows: use an edge finder to touch any three points on the interior of one of the hollow circular workpieces, and store the mechanical coordinates of these three points. Into the numerical control system variables, since three points can determine a circle, the coordinates of the center of the circle are calculated through the functions integrated in the numerical control system. Although the above method can determine the coordinates of the center of the circle, in actual application, the error between the calculated coordinates of the center of the circle and the real coordinates is large. Large error; secondly, the massive data inside the system leads to a large memory occupation, which is difficult to meet the real-time calculation of the center of the circle; finally, there are few applications of using the edge finder to locate the center of the circle when assembling medium and large CNC machine tools. The positioning of the center of the circle by the device is more limited to the machining center.

发明内容Contents of the invention

针对上述问题,本发明的目的是提供一种在中、大型数控机床上对大型圆形工件需要对心操作的高精度圆心测算方法及装置。In view of the above problems, the object of the present invention is to provide a method and device for measuring and calculating the center of a large circular workpiece with high precision that requires centering operations on medium and large CNC machine tools.

为实现上述目的,本发明公开了以下技术方案:一种用于中、大型数控机床的大型圆形工件对心操作的圆心测算方法,该圆形工件内径为r,测算该圆形工件圆心坐标O(x,y)的步骤包括:In order to achieve the above object, the present invention discloses the following technical solutions: a method for measuring and calculating the center of a large circular workpiece for centering operations of medium and large CNC machine tools, the inner diameter of the circular workpiece is r, and the coordinates of the center of the circular workpiece are measured The O(x,y) steps include:

1)使用测量探头测量圆形工件上的任意两点P1,P2的坐标分别为(x1,y1),(x2,y2);1) Use the measuring probe to measure any two points P 1 and P 2 on the circular workpiece. The coordinates are (x 1 , y 1 ), (x 2 , y 2 );

2)选择以P1作为三点法测量的起始点,∠P1OP2为θ1,根据三点法,三点分布按照正三角形分布,即每两个点与圆心的夹角均为120°,则第一个有效测点D1与OP2之间的夹角为θ2,则建立移动至第一个测点D1的绕行轨迹圆O1,OP2是圆O1在P2的切线,圆O1的半径 根据P2点坐标和绕行圆的半径rO1,确定测量探头的绕行轨迹为以O1为圆心半径为rO1的位于圆O内的圆弧测量探头沿圆弧运动,直至测量探头触碰到圆形工件的边缘部位后停止,所停止的位置即为D1点,此时,可测得D1点的坐标(xD1,yD1);2) Choose P 1 as the starting point of the three-point method measurement, and ∠P1OP2 is θ 1 . According to the three-point method, the three-point distribution follows an equilateral triangle distribution, that is, the angle between every two points and the center of the circle is 120°, then The angle between the first effective measuring point D 1 and OP 2 is θ2, then Establish a circle O 1 that moves to the first measuring point D 1 , OP 2 is the tangent of circle O 1 at P2, and the radius of circle O 1 According to the coordinates of point P 2 and the radius r O1 of the orbiting circle, determine the orbiting track of the measuring probe is an arc within the circle O with O 1 as the center and radius r O1 Measuring probe along the arc Move until the measuring probe touches the edge of the circular workpiece and stops. The stopped position is point D1. At this time, the coordinates ( x D1 , y D1 ) of point D1 can be measured;

3)建立从D1移动至第二个有效测点D2的绕行轨迹圆O2,圆O的半径OD1是圆O2在D1点的切线,按照正三角形分布三点坐标,圆O2的半径根据D1点坐标和绕行圆O2的半径rO2,便可确定测量探头的绕行轨迹为以O2为圆心半径为rO2的位于圆O内的圆弧轨迹测量探头沿圆弧轨迹运动,直至测量探头触碰到圆形工件的边缘部位后停止,所停止的位置即为D2点,此时,可测得D2点的坐标(xD2,yD2);3) Establish a circumnavigation track circle O 2 moving from D 1 to the second effective measuring point D 2 , the radius O D1 of circle O is the tangent line of circle O 2 at point D 1 , and the three-point coordinates are distributed according to an equilateral triangle, Radius of circle O2 According to the coordinates of point D1 and the radius r O2 of the orbiting circle O2 , the orbiting track of the measuring probe can be determined is the arc trajectory in the circle O with O 2 as the center and radius r O2 Measuring probe along arc trajectory Move until the measuring probe touches the edge of the circular workpiece and stops. The stopped position is point D2. At this time, the coordinates of point D2 (x D2 , y D2 ) can be measured ;

3)建立从D2移动至第三个有效测点D3的绕行轨迹圆O3,圆O的半径OD2是圆O3在D2点的切线,按照正三角形分布三点坐标,求出圆 O3的半径根据D2点坐标和绕行圆O3的半径rO3,便可确定测量探头的绕行轨迹为以O3为圆心半径为rO3的位于圆O内的圆弧轨迹测量探头沿圆弧轨迹运动,直至测量探头触碰到圆形工件的边缘部位后停止,所停止的位置即为 D3点,此时,可测得D3点的坐标(xD3,yD3);3) Establish a circumnavigation track circle O 3 moving from D 2 to the third effective measuring point D 3 , the radius O D2 of circle O is the tangent line of circle O 3 at point D 2 , and the three-point coordinates are distributed according to an equilateral triangle, Find the radius of the circle O 3 According to the coordinates of point D2 and the radius r O3 of the orbiting circle O3 , the orbiting track of the measuring probe can be determined is the arc trajectory in the circle O with O 3 as the center and radius r O3 Measuring probe along arc trajectory Move until the measuring probe touches the edge of the circular workpiece and stops. The stopped position is point D3 . At this time, the coordinates of point D3 (x D3 , y D3 ) can be measured;

4)建立6个参数变量a、b、c、d、e、f:a=2×(xD2-xD1),b=2×(yD2-yD1),c=xD2 2+yD2 2-xD1 2-yD1 2,d=2×(xD3-xD2),e=2×(yD3-yD2),f=xD3 2+yD3 2-xD2 2-yD2 2,圆心O 点的坐标O(x,y)为: 4) Establish 6 parameter variables a, b, c, d, e, f: a=2×(x D2 -x D1 ), b=2×(y D2 -y D1 ), c=x D2 2 +y D2 2 -x D1 2 -y D1 2 , d=2×(x D3 -x D2 ), e=2×(y D3 -y D2 ), f=x D3 2 +y D3 2 -x D2 2 -y D2 2 , the coordinates O(x, y) of point O in the center of the circle are:

如上所述的测算方法,测量探头在P2点X轴方向可能有正、负、0三种位移方向,其中“0”为左右均不能行进,测量探头的绕行方向由该位移方向和θ2的正负值来确定:第一种情况:当θ2为正数或0,且位移方向为正或0,测量探头绕O1逆时针旋转;第二种情况:当θ2为正数或0,且位移方向为负,测量探头绕O1顺时针旋转;第三种情况:当θ2为负数,且位移方向为正数或0,测量探头绕O1顺时针旋转;第四种情况:当θ2为负数,且位移方向为负:测量探头绕O1逆时针旋转。According to the calculation method mentioned above, the measurement probe may have three displacement directions of positive, negative and 0 in the X-axis direction of point P2, where " 0 " means that neither the left nor the right can travel, and the detour direction of the measurement probe is determined by the displacement direction and θ 2 positive and negative values to determine: the first case: when θ 2 is a positive number or 0, and the displacement direction is positive or 0, the measuring probe rotates counterclockwise around O 1 ; the second case: when θ 2 is a positive number or 0, and the displacement direction is negative, the measuring probe rotates clockwise around O 1 ; the third case: when θ 2 is negative, and the displacement direction is positive or 0, the measuring probe rotates clockwise around O 1 ; the fourth Situation: When θ 2 is a negative number and the displacement direction is negative: the measuring probe rotates counterclockwise around O 1 .

如上述的测算方法,测量探头在D1点的绕行方向:第一种情况:当θ2为正数或0,测量探头绕行方向与第一次绕行方向相同;第二种情况:当θ2为负数,测量探头绕行方向与第一次绕行方向相反。According to the calculation method mentioned above, the orbiting direction of the measuring probe at point D1: the first case: when θ2 is a positive number or 0 , the orbiting direction of the measuring probe is the same as the first orbiting direction; the second case: When θ 2 is a negative number, the direction of the measuring probe's detour is opposite to that of the first detour.

一种圆形套装的圆心测量装置,包含底座移动平台1,限位开关2,Y轴移动平台3,X轴移动平台4,机械手轮5,旋转轴6,伺服电机7,测量轴8,接触式测量探头9,控制器10,底座移动平台1有两个自由度,即平行机械底座的X轴方向的X轴移动平台4,和垂直机械底座的Y轴方向的Y轴移动平台3,可以有效地将工件移动至任意位置,测量轴8有两个自由度,方向与底座移动平台一样,以进行测点坐标的测量;旋转轴可以上下移动,使得测量探头可下深至圆形工件内侧;控制器10用于控制测量探头的运动轨迹,安装在立柱底座表面,在底座移动平台1与立柱的交汇处,其总线沿着立柱连接至伺服电机7。A circle center measuring device for a circular set, including a base moving platform 1, a limit switch 2, a Y-axis moving platform 3, an X-axis moving platform 4, a mechanical hand wheel 5, a rotating shaft 6, a servo motor 7, a measuring shaft 8, and a contact Type measuring probe 9, controller 10, base mobile platform 1 has two degrees of freedom, namely the X-axis mobile platform 4 parallel to the X-axis direction of the mechanical base, and the Y-axis mobile platform 3 perpendicular to the Y-axis direction of the mechanical base, which can Effectively move the workpiece to any position, the measuring axis 8 has two degrees of freedom, and the direction is the same as that of the base moving platform to measure the coordinates of the measuring point; the rotating axis can move up and down, so that the measuring probe can go down to the inside of the circular workpiece ; The controller 10 is used to control the movement track of the measuring probe, installed on the surface of the column base, at the intersection of the base mobile platform 1 and the column, its bus is connected to the servo motor 7 along the column.

其特征在于:该测量装置使用如权利要求1所述的测算方法来测量圆形套装的圆心。It is characterized in that: the measuring device uses the calculation method as claimed in claim 1 to measure the center of the circular suit.

底座移动平台1负责装载待测的圆形空心工件,当测量开始时,底座移动平台停止任何移动,测量完成后可以移动至套装装置位置进行对心操作。限位开关2在底座、立柱和横梁上以控制运动机构的行程及限位保护。立柱与底座固定,立柱上搭载着旋转轴6,在从底座移动平台1取出大型圆形工件或者运放至底座移动平台1的时候,旋转轴旋转至其他位置避免发生擦碰,当进行测量时,旋转轴必须与底座保持平行关系,旋转轴本身也可在立柱进行上下移动,以便使得测量探头下深至圆形工件内侧。测量轴8在横梁上可进行左右方向的移动以测量圆形工件的X轴方向坐标,接触式测量探头9在测量轴8内部用模组搭载可以进行前后方向移动以测量圆形工件的Y轴方向坐标。伺服电机7安装在各个运动机构中,如底座移动平台、旋转轴和测量轴。机械手轮5安装至测量轴8以用来旋紧测量探头,防止在测量过程中发生接触震动从而造成误差,还安装至底座移动平台1以用来旋紧代测量的圆形工件避免在测量的过程中发生晃动。The base mobile platform 1 is responsible for loading the circular hollow workpiece to be measured. When the measurement starts, the base mobile platform stops any movement. After the measurement is completed, it can be moved to the position of the set device for centering operation. The limit switch 2 is on the base, the column and the beam to control the stroke and limit protection of the motion mechanism. The column and the base are fixed, and the column is equipped with a rotating shaft 6. When taking out a large circular workpiece from the base mobile platform 1 or transporting it to the base mobile platform 1, the rotating shaft rotates to other positions to avoid friction. When measuring , the rotation axis must maintain a parallel relationship with the base, and the rotation axis itself can also move up and down on the column, so that the measuring probe can go down to the inside of the circular workpiece. The measuring axis 8 can move left and right on the beam to measure the coordinates of the circular workpiece in the X-axis direction. The contact measuring probe 9 is equipped with a module inside the measuring axis 8 and can move forward and backward to measure the Y-axis of the circular workpiece. direction coordinates. The servo motor 7 is installed in various motion mechanisms, such as base moving platform, rotating shaft and measuring shaft. The mechanical hand wheel 5 is installed on the measuring shaft 8 to tighten the measuring probe to prevent errors caused by contact vibration during the measurement process. Vibration occurs during the process.

控制器10包含采集模块、逻辑控制模块、运动控制模块、坐标寄存模块、数据计算模块、报警模块、预警模块。The controller 10 includes an acquisition module, a logic control module, a motion control module, a coordinate registration module, a data calculation module, an alarm module, and an early warning module.

信号采集模块负责采集测量探头的信号并将信号滤波放大后传递到逻辑控制模块。逻辑控制模块内部寄存了大量的逻辑控制算法,并按照功能性实时控制其他模块,运动控制模块是控制测量轴按照坐标信息和运动执行程序进行运动,并实时反馈当前的坐标信息。数据计算模块将处理计算测量探头信号采集回来后得到的原始数据如第一个有效测点D1与OP2之间的夹角θ2,外圆半径ro1、ro2、ro3,通过后台算法的计算后将结果数据传递给坐标寄存模块。坐标寄存模块用来寄存数据计算模块计算出来的结果数据和接收运动控制模块反馈的坐标信息,并将坐标信息实时传递给逻辑控制模块。报警驱动模块接收到硬件、软件预警模块发出的信号后立刻驱动蜂鸣器和LED指示灯,并将报警信息反馈到逻辑控制模块中。The signal acquisition module is responsible for collecting the signal of the measuring probe, filtering and amplifying the signal and transmitting it to the logic control module. The logic control module stores a large number of logic control algorithms and controls other modules in real time according to the functionality. The motion control module controls the measurement axis to move according to the coordinate information and motion execution program, and feeds back the current coordinate information in real time. The data calculation module will process and calculate the original data obtained after the measurement probe signal is collected, such as the angle θ 2 between the first effective measuring point D 1 and OP 2 , the outer circle radius r o1 , r o2 , r o3 , through the background After the calculation of the algorithm, the result data is passed to the coordinate register module. The coordinate storage module is used to store the result data calculated by the data calculation module and receive the coordinate information fed back by the motion control module, and transmit the coordinate information to the logic control module in real time. The alarm driving module drives the buzzer and LED indicator light immediately after receiving the signal from the hardware and software early warning module, and feeds back the alarm information to the logic control module.

测量过程开始时,逻辑控制模块首先发出信号传递到运动控制模块中,运动控制模块接收到信号后调用测量程序,使得测量轴下降到大型圆形工件内部随机位置,即 P点位置,随后底座移动平台开始进行Y方向移动,当测量探头触碰到内壁时,立刻将信号发送到信号采集模块,信号采集模块接收信号后将信号先滤波再放大,然后传递到逻辑控制模块,逻辑控制模块将信号转换成数据信息送到数控计算模块再寄存到坐标寄存模块中,之后反馈到逻辑控制模块和运动控制模块中,这样就可以得到P1点坐标数据,之后底座平台进行-Y方向移动,当测量探头触碰到内壁后同理可以得到P2点坐标数据,此时数据计算模块在后台使用相应算法计算出第一个有效测点D1与 OP2之间的夹角θ2和外圆半径ro1,并将数据寄存在坐标寄存模块;在规划D1点、D2点、D3点的测量轨迹时,逻辑控制模块调用条件判断信号传递到运动控制模块中,运动控制模块发出信号使底座移动平台在P2点的4个方向各进行微量的位移,此时测量探头将信号传递给信号采集模块,再传递到逻辑控制模块,逻辑控制模块在内部处理器中确定测量轨迹后发出信号,使得运动控制模块调用圆弧路径运动程序,使得底座移动平台在圆形工件内部以X、Y轴方向联动的方式进行画圆运动,当测量探头碰到内壁时可以得到D1点坐标数据,此时数据计算模块在后台使用相应算法计算出外圆半径ro2,并将数据寄存在坐标寄存模块。之后底座移动平台继续上述测量流程,同理 D2,D3坐标数据依次可得。最后数据计算模块根据D1,D2,D3点的坐标数据,计算出圆形工件的原点坐标O(x,y),并寄存到坐标寄存模块中。测量过程结束后逻辑控制模块发出装配信号给运动控制模块中,运动控制模块读取到圆形工件原点坐标O(x,y) 坐标数据后进行X轴和Y轴方向的差补计算,使得底座移动平台搭载着圆形工件移动到装配位置,并且使两个圆形工件的圆心坐标数据相等。When the measurement process starts, the logic control module first sends a signal to the motion control module, and the motion control module calls the measurement program after receiving the signal, so that the measurement axis descends to a random position inside the large circular workpiece, that is, the position of point P, and then the base moves The platform starts to move in the Y direction. When the measuring probe touches the inner wall, it immediately sends the signal to the signal acquisition module. The converted data information is sent to the numerical control calculation module and then stored in the coordinate storage module, and then fed back to the logic control module and motion control module, so that the coordinate data of point P 1 can be obtained, and then the base platform moves in the -Y direction, when measuring After the probe touches the inner wall, the coordinate data of point P 2 can be obtained in the same way. At this time, the data calculation module uses the corresponding algorithm in the background to calculate the angle θ 2 between the first effective measuring point D 1 and OP 2 and the outer circle radius r o1 , and store the data in the coordinate storage module; when planning the measurement trajectory of D 1 point, D 2 point, and D 3 point, the logic control module calls the condition judgment signal and transmits it to the motion control module, and the motion control module sends a signal to make The mobile platform of the base makes a slight displacement in each of the four directions of point P2. At this time, the measurement probe transmits the signal to the signal acquisition module, and then to the logic control module. The logic control module sends a signal after determining the measurement trajectory in the internal processor. , so that the motion control module invokes the motion program of the arc path, so that the base mobile platform performs a circle movement in the X and Y axis directions inside the circular workpiece. When the measuring probe touches the inner wall, the coordinate data of point D can be obtained. At this time, the data calculation module calculates the outer circle radius r o2 using a corresponding algorithm in the background, and stores the data in the coordinate storage module. Afterwards, the base mobile platform continues the above measurement process, and similarly, the coordinate data of D 2 and D 3 can be obtained sequentially. Finally, the data calculation module calculates the origin coordinate O(x,y) of the circular workpiece according to the coordinate data of D 1 , D 2 , and D 3 points, and stores it in the coordinate storage module. After the measurement process is over, the logic control module sends an assembly signal to the motion control module, and the motion control module reads the coordinate data of the origin coordinate O(x,y) of the circular workpiece and performs differential compensation calculations in the X-axis and Y-axis directions, so that the base The mobile platform carries the circular workpiece and moves to the assembly position, and makes the center coordinate data of the two circular workpieces equal.

本发明由于采取以上技术方案,其具有以下优点:该测算方法综合考虑了三点法求圆心的最优三点分布和半径切向定位误差最小,利用测量装置可行进方向和测量偏角的判定,测量装置采用接触式测量的方式,运用数控系统平台,自行规划最高效率的行进路径并精确定位内壁三点坐标,该三点坐标在圆内成正三角形分布,比任意三点分布测算圆心更为精确严格,测算出的圆心坐标与仿真结果做对比分析,然后应用于中、大型工业圆形套装设备中,该测算方法满足基于几何特征进行圆心定位的有效性和实时性,能很好的满足各类实际生产加工中的高精度圆心定位套装要求。Due to the adoption of the above technical scheme, the present invention has the following advantages: the calculation method comprehensively considers the three-point method to obtain the optimal three-point distribution of the center of the circle and the minimum radius tangential positioning error, and can determine the travel direction and measurement deflection angle by using the measuring device , the measuring device adopts the method of contact measurement, and uses the numerical control system platform to plan the most efficient travel path and accurately locate the coordinates of the three points on the inner wall. Accurate and strict, the calculated coordinates of the center of the circle are compared and analyzed with the simulation results, and then applied to medium and large industrial circular equipment. High-precision circle center positioning kit requirements in various actual production and processing.

附图说明Description of drawings

图1是高精度圆形套装机械装置的测量部分;Fig. 1 is the measurement part of the high-precision circular suit mechanical device;

图2中;(a)是点P1和点P2定位示意图;(b)是第一个有效测点D1定位示意图; (c)是确定第一测点D1绕行轨迹不同情况的示意图;(d)是第二个有效测点D2定位示意图;(e)是确定第二测点D2绕行轨迹不同情况的示意图;(f)是第三个有效测点 D3定位示意图;(g)是第三测点D3理想和实际图In Fig. 2 ; (a) is a schematic diagram of point P1 and point P2 positioning; (b) is a schematic diagram of the positioning of the first effective measuring point D1; (c) is to determine the different situations of the first measuring point D1 detour trajectory Schematic diagram; (d) is a schematic diagram of the positioning of the second effective measuring point D2; (e) is a schematic diagram of determining the different situations of the orbiting trajectory of the second measuring point D2; (f) is a schematic diagram of the positioning of the third effective measuring point D3 ; (g) is the ideal and actual diagram of the third measuring point D3

图中:1、机械底座,2、限位开关,3、Y轴移动平台,4、X轴移动平台,5、机械手轮,6、旋转轴,7、伺服电机,8、测量轴,9、接触式测量探头,10、控制器。In the figure: 1. Mechanical base, 2. Limit switch, 3. Y-axis moving platform, 4. X-axis moving platform, 5. Mechanical handwheel, 6. Rotating axis, 7. Servo motor, 8. Measuring axis, 9. Contact measuring probe, 10. Controller.

具体实施方式Detailed ways

下面结合附图和实施例对本发明的进行详细的描述。The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.

本发明包括高精度圆形套装的圆心测算方法和其机械测量装置,如图1所示,机械测量装置主要包括底座移动平台和测量轴,底座移动平台有两个自由度,即平行机械底座的X轴方向,和垂直机械底座的Y轴方向,可以有效地将工件移动至任意位置;测量轴有两个自由度,方向与底座移动平台一样,以进行圆心测量;测量探头可以上下移动,以便使得测量探头下深至圆形工件内侧。The present invention includes a method for measuring and calculating the center of a high-precision circular suit and its mechanical measuring device. As shown in Figure 1, the mechanical measuring device mainly includes a base moving platform and a measuring shaft. The X-axis direction and the Y-axis direction perpendicular to the mechanical base can effectively move the workpiece to any position; the measurement axis has two degrees of freedom, and the direction is the same as that of the base moving platform to measure the center of the circle; the measuring probe can move up and down so that Make the measuring probe go down to the inside of the circular workpiece.

测量探头进入圆形工件内部记为P点,以俯视的角度观察测量探头的移动轨迹,测量探头采用接触式测量的方式,用三点法求取圆心坐标,以带跳略功能的单方向直线切削运动控制测量探头移动(跳略功能即测量轴接触到物体后立刻执行下一条程序,并寄存当前坐标),先向下移动获得P1点坐标(x1,y1),以P1作为三点法测量的起始点 (并不是第一个点),然后向上移动获得P2点坐标(x2,y2),得到∠P1O P2为θ1,如图a 所示。When the measuring probe enters the inside of the circular workpiece, it is recorded as point P, and the moving track of the measuring probe is observed from the perspective of looking down. The cutting motion controls the movement of the measuring probe (skip function means that the next program is executed immediately after the measuring axis touches the object, and the current coordinates are stored), and the coordinates of point P 1 (x 1 , y 1 ) are obtained by moving downward first, and P 1 is used as the The starting point (not the first point) measured by the three-point method, and then move up to obtain the coordinates of point P 2 (x 2 , y 2 ), and get ∠P 1 OP 2 as θ 1 , as shown in Figure a.

在圆形工件内径r已知的情况下,根据三点法求取圆心坐标的三点分布按照正三角形分布(即每两个点与圆心的夹角均为120°),所求的圆心精确度越高原则,根据以下公式,求得θ2(三点法的第一个点D1与圆心点O的线段OD1与OP2的夹角)。In the case that the inner diameter r of the circular workpiece is known, according to the three-point method, the three-point distribution of the coordinates of the center of the circle is distributed according to an equilateral triangle (that is, the angle between each two points and the center of the circle is 120°), and the center of the circle obtained is accurate. According to the principle of higher degree, according to the following formula, obtain θ 2 (the angle between the line segment OD 1 and OP 2 between the first point D 1 and the center point O of the three-point method).

测量探头到达P2之后要建立移动至第一个有效测点D1的绕行轨迹圆O1,测量探头采用圆弧路径而不是直线路径进行三点法测量是因为传感器测头对测量点的测量角度不同,可能存在切向方向的滑移误差,影响测量结果。圆O1的建立方式如图b所示;After the measuring probe arrives at P2, it is necessary to establish a detour circle O1 to move to the first effective measuring point D1. The reason why the measuring probe adopts a circular arc path instead of a straight line path for three-point measurement is that the sensor measuring head has an accurate measurement of the measuring point. If the measurement angle is different, there may be a slip error in the tangential direction, which will affect the measurement results. The establishment method of circle O 1 is shown in figure b;

圆O的半径OP2是圆O1在P2点的切线,在已知θ2和圆O半径r的条件下,根据以下公式求取圆O1的半径rO1The radius OP 2 of circle O is the tangent line of circle O 1 at point P 2. Given the known θ 2 and the radius r of circle O, calculate the radius r O1 of circle O 1 according to the following formula.

已知P2点坐标和绕行圆的半径rO1,可以确定测量探头的绕行轨迹此测量轨迹是沿圆O半径方向移动(即外圆O1的切线方向),以带跳略功能的圆弧切削路径控制测量探头运动,如此测量得到的坐标值误差最小。下面要确定测量探头的绕行方向。Given the coordinates of point P 2 and the radius r O1 of the orbiting circle, the orbiting track of the measuring probe can be determined The measurement track moves along the radial direction of the circle O (that is, the tangent direction of the outer circle O 1 ), and the movement of the measurement probe is controlled by an arc cutting path with a skip function, so that the error of the coordinate value obtained in this measurement is the smallest. Next, determine the direction of travel of the measuring probe.

测量探头在P2点做X轴正负两方向做微量的位移(测量探头的接触偏移量),可行进的方向由X轴标定,有正、负和0三种情况,其中“0”为左右均不能行进。再根据θ2的正负值判断测量探头之后的绕行方向(图c所示):The measuring probe makes a small amount of displacement in the positive and negative directions of the X-axis at point P 2 (the contact offset of the measuring probe). It is impossible to move left and right. Then judge the detour direction after the measuring probe according to the positive and negative values of θ 2 (as shown in Figure c):

第一种情况:当θ2为正数或0,且可行进方向为正数或0:测量探头绕O1逆时针旋转。The first case: when θ 2 is a positive number or 0, and the travelable direction is a positive number or 0: the measuring probe rotates counterclockwise around O 1 .

第二种情况:当θ2为正数或0,且可行进方向为负数:测量探头绕O1顺时针旋转。The second case: when θ 2 is a positive number or 0, and the travelable direction is a negative number: the measuring probe rotates clockwise around O 1 .

第三种情况:当θ2为负数,且可行进方向为正数或0:测量探头绕O1顺时针旋转。The third case: when θ 2 is a negative number, and the travelable direction is a positive number or 0: the measuring probe rotates clockwise around O 1 .

第四种情况:当θ2为负数,且可行进方向为负数:测量探头绕O1逆时针旋转。The fourth case: when θ 2 is a negative number and the travelable direction is a negative number: the measuring probe rotates counterclockwise around O 1 .

当测量探头到达第一个有效测点D1后得到D1点坐标(xD1,yD1),然后建立从D1移动至第二个有效测点D2的绕行轨迹圆O2,圆O2的建立方式如图d所示。When the measuring probe reaches the first effective measuring point D1, the coordinates (x D1 , y D1 ) of D 1 are obtained, and then a circle O 2 is established to move from D 1 to the second effective measuring point D 2 , the circle The way O2 is established is shown in Figure d.

圆O的半径OD1是圆O2在D1点的切线,为了保证测量误差最小,按照正三角形分布三点坐标,还需要满足:The radius OD 1 of the circle O is the tangent of the circle O 2 at the point D 1. In order to ensure the minimum measurement error, the three-point coordinates are distributed according to the equilateral triangle, and the following needs to be satisfied:

根据以下公式求出圆O2的半径rO2Calculate the radius r O2 of the circle O 2 according to the following formula.

已知D1点坐标和绕行圆O2的半径rO2,便可确定测量探头的绕行轨迹以带跳略功能的圆弧切削路径控制测量探头运动,下面要确定测量探头在D1点的绕行方向 (图e所示):Knowing the coordinates of point D1 and the radius r O2 of the orbiting circle O2 , the orbiting track of the measuring probe can be determined The movement of the measuring probe is controlled by the arc cutting path with skip function, and the following is to determine the direction of the measuring probe’s detour at point D1 ( as shown in Figure e):

第一种情况:当θ2为正数或0,测量探头绕行方向与第一次绕行方向相同。The first case: when θ 2 is a positive number or 0, the measuring probe's orbiting direction is the same as the first orbiting direction.

第二种情况:当θ2为负数,测量探头绕行方向与第一次绕行方向相反。The second case: when θ 2 is a negative number, the direction of the measuring probe's detour is opposite to that of the first detour.

当测量探头到达第二个有效测点D2后得到D2点坐标(xD2,yD2),然后建立从D2移动至第三个有效测点D3的绕行轨迹圆O3,圆O3的建立方式如图f所示。When the measuring probe reaches the second effective measuring point D2, the coordinates of point D2 ( x D2 , y D2 ) are obtained, and then a circle O 3 is established to move from D2 to the third effective measuring point D3 , the circle The way O 3 is established is shown in Figure f.

绕行轨迹圆O3的建立方式与圆O2相同,圆O的半径OD2是圆O3在D2点的切线,且满足:The orbiting trajectory circle O 3 is established in the same way as the circle O 2 , the radius OD 2 of the circle O is the tangent of the circle O 3 at the point D 2 , and satisfies:

根据以下公式求出圆O3的半径rO3Find the radius r O3 of the circle O 3 according to the following formula.

已知D2点坐标和绕行圆O3的半径rO3,便可确定测量探头的绕行轨迹D2D3,以带跳略功能的圆弧切削路径控制测量探头运动,绕行方向与第二次的绕行方向相同,当测量探头到达第三个有效测点D3后得到D3点坐标(xD3,yD3),点D3理论上与点P1重合,但是实际上可能存在偏差,如图g所示,如果出现偏差,求取点P1和点D3的偏差值。Knowing the coordinates of point D 2 and the radius r O3 of the orbiting circle O 3 , the orbiting track D 2 D 3 of the measuring probe can be determined, and the movement of the measuring probe is controlled by the arc cutting path with skip function, and the orbiting direction is the same as The second rounding direction is the same. When the measuring probe reaches the third effective measuring point D3 , the coordinates of point D3 (x D3 , y D3 ) are obtained. Point D3 coincides with point P1 in theory, but it is possible in practice There is a deviation, as shown in figure g, if there is a deviation, find the deviation value of point P 1 and point D 3 .

ΔxP=|xP1-xD3|Δx P =|x P1 -x D3 |

ΔyP=|yP1-yD3|Δy P =|y P1 -y D3 |

如果ΔxP和ΔyP都满足偏差精度要求,那么点D3即使没有与点P1重合,也依然作为第三个有效测点。按照以上数学模型,得到D1(xD1,yD1)、D2(xD2,yD2)、D3(xD3,yD3) 三点坐标后再计算圆心O点的坐标:If both Δx P and Δy P meet the deviation accuracy requirements, even if point D 3 does not coincide with point P 1 , it is still the third valid measuring point. According to the above mathematical model, the coordinates of the three points D 1 (x D1 , y D1 ), D 2 (x D2 , y D2 ), D 3 (x D3 , y D3 ) are obtained, and then the coordinates of point O in the center of the circle are calculated:

先建立6个参数变量a、b、c、d、e、f:First establish six parameter variables a, b, c, d, e, f:

a=2×(xD2-xD1)a=2×(x D2 -x D1 )

b=2×(yD2-yD1)b=2×(y D2 -y D1 )

c=xD2 2+yD2 2-xD1 2-yD1 2 c=x D2 2 +y D2 2 -x D1 2 -y D1 2

d=2×(xD3-xD2)d=2×(x D3 -x D2 )

e=2×(yD3-yD2)e=2×(y D3 -y D2 )

f=xD3 2+yD3 2-xD2 2-yD2 2 f=x D3 2 +y D3 2 -x D2 2 -y D2 2

再计算圆心O点的坐标O(x,y):Then calculate the coordinates O(x, y) of the center O point:

该圆心测算方法带有自适应寻径控制功能,自动优化加工过程,从而达到提高生产效率改善加工表面质量等目的,机床操作者只需提供原材料的基础参数信息,该装置系统便可智能的选择采用最优定位路径测算原点坐标,广泛应用于套装不同规格的圆形工件。The circle center calculation method has the function of self-adaptive path-seeking control, which can automatically optimize the processing process, so as to achieve the purpose of improving production efficiency and improving the quality of the processed surface. The machine tool operator only needs to provide the basic parameter information of the raw material, and the device system can intelligently select Using the optimal positioning path to measure and calculate the coordinates of the origin, it is widely used in the packaging of circular workpieces of different specifications.

Claims (4)

1. a kind of center of circle measuring method of round suit, step include:
1) coordinate of any two points P1, P2 loaded onto using measuring probe measuring unit is respectively (x1, y1), (x2, y2), calculate set The center of circle of dress is point O (x, y), it is known that suit internal diameter is r;2) selection is with P1As the starting point of line-of-sight course measurement, ∠ P1OP2For θ1, according to line-of-sight course, 3 points of distributions are distributed according to equilateral triangle, i.e., every two point and the angle in the center of circle are 120 °, first Effective measuring point D1With OP2Between angle be θ2, then Foundation is moved to first measuring point D1Detour locus circle O1, OP2It is Circle O1In P2Tangent line, circle O1RadiusAccording to P2The radius r of point coordinate and the circle that detoursO1, can determine survey Measure the detour track of probeThis track is moved along circle O radial direction, i.e. outer circle O1Tangential direction, when measuring probe arrives Up to first effective measuring point D1After can measure D1Coordinate (the x of pointD1, yD1);
2) it establishes from D1It is moved to second effective measuring point D2Detour locus circle O2, the radius OD of circle O1It is round O2In D1Point is cut Line is distributed 3 coordinates according to equilateral triangle,Circle O2RadiusAccording to D1Point coordinate and the circle O that detours2Radius rO2, can determine the detour track of measuring probeThis Track is moved along circle O radial direction, i.e. outer circle O2Tangential direction, when measuring probe reach second effective measuring point D2After can Measure D2Coordinate (the x of pointD2, yD2);
3) it establishes from D2It is moved to third effectively measuring point D3Detour locus circle O3, the radius OD of circle O2It is round O3In D2Point is cut Line is distributed 3 coordinates according to equilateral triangle,Find out the radius of round O3According to D2Point coordinate and the circle O that detours3Radius rO3, can determine the detour track of measuring probeThis Track is moved along circle O radial direction, i.e. outer circle O3Tangential direction, when measuring probe reaches third effectively measuring point D3After can Measure D3Coordinate (the x of pointD3, yD3);
4) 6 parametric variable a, b, c, d, e, f:a=2 × (x are establishedD2-xD1), b=2 × (yD2-yD1), c=xD2 2+yD2 2-xD1 2- yD1 2, d=2 × (xD3-xD2), e=2 × (yD3-yD2), f=xD3 2+yD3 2-xD2 2-yD2 2, the coordinate O (x, y) of center of circle O point:
2. measuring method as described in claim 1, measuring probe is in P2Point does positive and negative two direction of X-axis and does micro displacement (survey Measure the contact offset of probe), the direction that can be advanced is demarcated by X-axis, has positive and negative and 0 three kinds of situations, wherein " 0 " is that left and right is equal It cannot advance.Further according to θ2Positive and negative values judge the direction of circling after measuring probe: the first situation: work as θ2For positive number or 0, And can direction of travel be positive number or 0: measuring probe is around O1Rotation counterclockwise;Second situation: work as θ2For positive number or 0, and can advance Direction is negative: measuring probe is around O1It rotates clockwise;The third situation: work as θ2For negative, and can direction of travel be positive number or 0: Measuring probe is around O1It rotates clockwise;4th kind of situation: work as θ2For negative, and can direction of travel be negative: measuring probe is around O1It is inverse Hour hands rotation.
3. measuring method as claimed in claim 1 or 2, measuring probe is in D1The direction of circling of point: the first situation: work as θ2For Positive number or 0, measuring probe direction of circling are identical as first time direction of circling;Second situation: work as θ2For negative, measuring probe around Line direction is opposite with first time direction of circling.
4. a kind of center of circle measuring device of round suit, includes pedestal mobile platform (1), limit switch (2), Y-axis mobile platform (3), X-axis mobile platform (4), mechanical handwheel (5), rotary shaft (6), servo motor (7) measure axis (8), contact type measurement probe (9), there are two freedom degree, i.e., the X-axis mobile platforms (4) of the X-direction of parallel mechanical pedestal for pedestal mobile platform (1), and hang down Workpiece effectively can be moved to any position, measured axis (8) by the Y-axis mobile platform (3) of the Y direction of straight mechanical pedestal There are two freedom degrees, and direction is as pedestal mobile platform, to carry out center of circle measurement;Measuring probe can move up and down, so as to So that being deep under measuring probe on the inside of round piece, it is characterised in that: the measuring device uses measuring and calculating as described in claim 1 Method measures the center of circle of round suit.
CN201710148871.1A 2017-01-16 2017-03-14 A method and device for measuring and calculating the center of a high-precision circular suit Expired - Fee Related CN106989706B (en)

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