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| 基于Groebner平面两自由度七杆机构位置分析的符号解 | |
| 引用本文： | 管家春,雷经发,扈静,范丽华,王进戈.基于Groebner平面两自由度七杆机构位置分析的符号解[J].西华大学学报(自然科学版),2005,24(4):64-66. |
| 作者姓名： | 管家春 雷经发 扈静 范丽华 王进戈 |
| 作者单位： | 1. 西华大学机械工程与自动化学院,四川,成都,610039 2. 安徽建筑工业学院 3. 合肥工业大学,安徽,合肥,230000 |
| 摘 要： | 借助Groebner基法和计算机符号处理技术，对平面两自由度七杆机构位置分析问题进行了符号求解。该法通过对变量排序，建立多项式对的集合，求SP多项式，约简等运算，将一组非线性方程组化简为等价的三角化方程组，导出了单变量的8次代数方程，得到了封闭形式的解析解，并给出了具体数值实例。 |
| 关 键 词： | 平面两自由度七杆机构 位置分析 Groebner基 计算机符号处理技术 |
| 文章编号： | 1673-159X(2005)04-0064-03 |
| 收稿时间： | 2004-06-14 |
| 修稿时间： | 2005-04-08 |
Symbolic Solution to the Displacement Analysis of Planar Two-DOF Seven-bar Linkages Mechanism Based on Groebner Method |
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| GUAN Jia-chun,LEI Jing-fa,HU jing,FAN Li-hua,WANG Jin-ge.Symbolic Solution to the Displacement Analysis of Planar Two-DOF Seven-bar Linkages Mechanism Based on Groebner Method[J].Journal of Xihua University:Natural Science Edition,2005,24(4):64-66. | |
| Authors: | GUAN Jia-chun LEI Jing-fa HU jing FAN Li-hua WANG Jin-ge |
| Abstract: | A method for displacement analysis of planar two-DOF (degree of freedom) seven-bar linkages is proposed based on Groebne Method and computer symbolic manipulating technique in this paper. A set of equivalent triangularization equations are obtained by using the following operations:ordering of variables,forming all pairs of polynomials,finding S-polynomial,reduction etc. An eighth order algebraic equation with single variable is derived for the closed form solutions of displacement analysis of planar two-DOF seven-link mechanisms. A numerical example is given to demonstrate the efficiency and advantages of the method. |
| Keywords: | planar two-DOF seven-bar linkages mechanism displacement analysis groebner base computer symbolic manipulating technique |
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