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基于Groebner基法的2RPS-1PPS并联机构位置正解分析
引用本文:王彦,杭鲁滨,杨廷力.基于Groebner基法的2RPS-1PPS并联机构位置正解分析[J].机械与电子,2006(2):49-52.
作者姓名:王彦  杭鲁滨  杨廷力
作者单位:上海交通大学,上海,200030;南京金陵石化公司,江苏,南京,210036
摘    要:基于数学机械化思想,以Groebner基法对2RPS-1PPS并联机构位置正解进行分析,得到其位置正解最多为16解的结论,并给出数值算例。

关 键 词:数学机械化  Groebner基  非线性代数方程组  并联机构
文章编号:1001-2257(2006)02-0049-04
收稿时间:2005-11-11
修稿时间:2005年11月11

Forward Displacement Analysis of the 2RPS-1PPS Parallel Manipulator Based on Groebner Basis
WANG Yan,HANG Lu-bin,YANG Ting-li.Forward Displacement Analysis of the 2RPS-1PPS Parallel Manipulator Based on Groebner Basis[J].Machinery & Electronics,2006(2):49-52.
Authors:WANG Yan  HANG Lu-bin  YANG Ting-li
Affiliation:1. Shanghai J iaotong University, Shanghai 200030, China; 2. Nanj ing J inling Petrolchemcial Corp. , Nanjing 210036, China
Abstract:Based on mathematics mechanization idea,Groebner basis method can be used to symbolically solve nonlinear equations in limited steps. In this paper, the forward displacement analysis of 2RPS- 1PPS parallel manipulator is studied by means of Groebner basis method. The result shows that the parallel mechanism can have 16 different configurations at most.
Keywords:mathematics mechanization  Groebnet basis  nolinear algebra equations  parallel manipulator
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