关键词: 计算数学 , 仿真系统 , 误差变换矩阵 , 误差建模

Abstract: Many sources of error exist in precision equipments. It is difficult to describe them and build error models in order to realize resonable precision design and error compensation. There exist some error modeling methods, but each has its range of application, and is often inconvenient to apply in practice. In this paper, error modeling method was studied, based on multi — body system theory, concepts of bar and pair coordinate transformation matrix and the pole and pair error transformation matrix were proposed. The method is more visual and understandable compared with existing methods because par and pair remain the bases of mechanical structure of equipments. Finally, errors were analyzed, and error model was built up in the simulation system of airborne imaging as an example.

Key words: computing mathematics , simulation system , error transformation matrix , error modeling