Multi-objective Design Optimization of Pad-iron Positions for Three-point Supporting T-shaped Bed Machine Tools

Abstract

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

摘要：

针对三点支撑机床的最优支撑位置设计问题，提出了一种三点支撑床身垫铁位置设计方法。以某型号数控外圆磨床的T形床身为研究对象，对三点支撑床身垫铁位置优化方法进行了详细说明。根据床身底面分区块找形心的方法确定三个初始支撑位置，并将垫铁位置参数化，根据位置极限条件确定参数范围；建立三点支撑床身垫铁位置多目标优化设计的数学模型，基于床身静动态性能对垫铁位置进行多目标优化；最后通过分析Pareto解集下三个垫铁位置与床身尺寸的关系，得出床身三点支撑的布置规律。分析结果表明，提出的布置方法可明显提高床身的静动态性能。

关键词: 三点支撑机床, 垫铁位置, 多目标优化, Pareto解集

CLC Number:

TH122

DING Xiaohong;ZHANG Jun;ZHANG Heng. Multi-objective Design Optimization of Pad-iron Positions for Three-point Supporting T-shaped Bed Machine Tools[J]. China Mechanical Engineering.

丁晓红;张俊;张横. 三点支撑T形床身机床垫铁位置多目标优化设计[J]. 中国机械工程.

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