上海交通大学学报

上海交通大学学报（自然版）

• 金属学与金属工艺 • 上一篇    下一篇

基于精密球面磨床的球度在位测量方法

刘冰1,2，许黎明1,2，柴运东1，许开州1，李冬冬1
  

  1. (1. 上海交通大学 机械与动力工程学院， 上海 200240；2. 重庆大学 机械传动国家重点实验室， 重庆 400044)
  • 收稿日期:2010-01-23 修回日期:1900-01-01 出版日期:2011-01-27 发布日期:2011-01-27

Onsite Measurement of Sphericity Based on HighPrecision Sphere Grinder

LIU Bing1,2,XU Liming1,2,CHAI Yundong1,XU Kaizhou1,LI Dongdong1
  

  1. (1. School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China)
  • Received:2010-01-23 Revised:1900-01-01 Online:2011-01-27 Published:2011-01-27

摘要： 提出了一种基于精密球面磨床的球度在位测量方法.在精密球面磨床上建立测量基准和自动测量方法，利用经纬法测量球面被测点的半径偏差及对应的经度和纬度，根据最小二乘法建立最小二乘球的球心坐标和半径的数学模型，并通过实际测量点与最小二乘球拟合所得最小二乘球对比，实现了球度误差的在位测量.结果表明，所测指标满足用户要求，所测球度误差与千分尺测量方法的结果相符，从而验证了球度在位测量方法的可行性.

Abstract: A new method of onsite measuring sphericity was proposed based on highprecision sphere grinding machine. The measuring basis and the automatic measuring instruments were setup based on the sphere grinding machine. The radius variation as well as corresponding longitude and latitude values of the measuring points evenly distributed over sphere were measured. The mathematical models of the spherical center coordinate and the least square radius were established based on the least square method. The least square sphere was then fitted by the measured values. The comparison charts of the measured sphere and the least square sphere were drawn. The onsite measurement of sphericity was achieved and the result shows the feasibility comparing with traditional micrometer based measuring method.

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