关键词: 三点支撑机床, 垫铁位置, 多目标优化, Pareto解集

Abstract: For the optimal position problems of the three-point supporting machine tools, a optimal method was proposed to optimize the locations of the three-point supporting. The detailed design processes were introduced with a T-shaped bed of a CNC cylindrical grinder which was taken as the research object. Firstly, the initial supporting positions were determined by the method of dividing bottom plane of the bed and finding the centroid of each region, and the pad-iron positions were parameterized, then the parameter ranges were specified according to the position limit conditions. Secondly, the multi-objective optimization mathematical model of pad-iron positions was established, and the optimal solution was obtained to achieve the optimal static and dynamic performances of the bed. Finally, by analyzing the relationship between the three pad-iron positions obtained from Pareto frontier and the bed geometric sizes, the arrangement rule of three-point support for this model was obtained. The results show that the static and dynamic performances of the bed are improved by this suggested method.

Key words: three-point supporting machine tool; , pad-iron position; , multi-objective optimization; , Pareto frontier