基于分形的机加工零件表面几何精度与性能分析

The Geometric precision and Performance Analysis for machining Surface based on Fractals

对机加工表面轮廓误差提出一种先进行线性回归和非线性回归，再用ＷｅｉｅｒｓｔｒａｓＭａｎｄｅｌｂｒｏｔ分形函数获得分形参数的新的分析方法；据此建立描述加工表面公差带内误差精细结构的最小特征集；用最小特征集再构出表面轮廓形貌，建立基于分形的零件性能与误差结构关系的分析方法。并附有计算实例。

A new analysis method for machining surface profile error is presented in this paper.The linear regression and nonlinear regression are first applied respectively,and then the Weierstrass Mandebrot fractal function is used to obtain the fractal parameters of machining profiles.A minimal parameter set which depicts the machining surface geometric precision is set up,and the surface profile can be reconstructed using these parameters,and an analysis method for part performance and its tolerance structure is proposed.Examples are provided to illustrate the method is feasible and effective.