摘要
根据国家标准中圆柱度误差的定义,在直角坐标系下建立了一种适用于三坐标测量机(CMM)圆柱度误差评定的最小二乘数学模型,并给出了最优化算法以及迭代初值选取方法。该模型坐标原点可任意选择,对采样点以及被测圆柱位置和倾斜度均无特别的限制要求。该方法易于编程实现,能够方便地应用于其它复杂几何体的形状误差评定。实验证明了该模型以及算法的稳定性和正确性,该算法已用于自主研发的GMesaure1.0测量软件系统。
According to the definition of cylindricality error in the national standards, a mathematical model for CMM is developed to evaluate the cylindricality error by least square method in the rectangular coordinates, the optimization and the initial values calculation methods are also presented. In the model, the position and the gradient of the cylinder are discretional. The origin of coordinates can be randomly selected. There are no special requirements for sampling points. It's advantageous to programme and it can be used to calculate errors of other complicated forms. This method proves that it can converge to an overall optimal and steady result. The algorithm has been applied to the GMeasure1.0 software developed by our lab.
出处
《机电工程技术》
2008年第9期13-15,65,共4页
Mechanical & Electrical Engineering Technology
基金
广州市科技攻关项目(编号:2005Z3-D9031)
关键词
直角坐标
圆柱度
数学模型
最小二乘
优化算法
迭代初值
rectangular coordinate
cylindricality error
mathematical model
least square method
optimization calculation method
initial values
