A generalized approach of form error evaluation for sculptured surface within the framework of the new generation GPS standards system

Heping Peng

The form error is an important index used to evaluate the form precision of parts; the accuracy of its evaluation method has a significant influence on the quality and use performance of a mechanical product. With the development of modern measuring techniques, especially the coordinate measuring machines (CMM) and other precision measuring instruments have already been applied to practical production extensively, it has important practical meaning to study sculptured surface form error evaluation method based on the coordinate measuring data. In view of this current situation, based on the related principle of the form error evaluation within the framework of the new generation GPS standards system, a generalized mathematical model of form errors evaluation based on the least square method is proposed in this paper, and then the way of solving the evaluation model by using multiple nonlinear optimization function in MATLAB optimization toolbox is also studied. Finally, a numerical example based on the actual measurement data obtained by CMM is given to verify the evaluation model.