一种混联型虚拟轴机床奇异位形分析的解析法

Analytical Method for Singularity Configuration Analysis of A New Type Hybrid Virtual Axis Machine Tool

建立了一种混联型虚拟轴机床主进给机构位置分析的输入输出方程 ,并推导出奇异位形判别的解析表达式。该奇异位形判别式为一多项式代数方程 ,在推导过程中引入数值 -符号处理技术 ,得到了多项式代数方程中每一系数的数值 -符号形式的解析表达式。该机构的奇异位形的集合为参数空间的曲面片 ,得到了奇异曲面方程及奇异曲面的截面曲线。

The input output equation of displacement analysis for the main feed mechanism of a new type hybrid virtual axis machine tool is established.An analytical expression for determining singularity configuration which is a polynomial equation is set,and the numeric symbolic manipulating technique is introduced in the paper.Analytical expressions of numeric symbolic form for each coefficient in the ploynomial equation are derived.The section curve graph of a singularity surface is drawn.A numerical example of singularity configuration analysis is given for illustration.