十二面体变几何桁架位置正解的病毒传播算法  

Virus Spreading Algorithm for Direct Displacement Solution of Dodecahedron Variable Geometry Truss Manipulator

作　　者：罗佑新[1] 车晓毅[1] 何哲明[1] 李晓峰[1] 

机构地区：[1]湖南文理学院机械工程学院,湖南常德415000

出　　处：《中北大学学报（自然科学版）》2009年第4期333-337,共5页Journal of North University of China(Natural Science Edition)

基　　金：湖南省"十一五"重点建设学科(机械设计及理论)项目(湘教通2006180);国家自然科学基金资肋项目(50845038);湖南省自然科学基金资助项目(07JJ3093);湖南科技计划资助项目(2007FJ3030;2007FJ3048)

摘　　要：在分析机构学问题非线性方程组全部解求解方法的基础上,研究了生物病毒的传播特性,与改进的牛顿迭代函数相结合提出了基于生物病毒传播算法的非线性方程组全部实根求解的牛顿迭代方法,给出了计算步骤.十二面体变几何桁架机器机构位置正解实例表明了该方法的正确性与有效性,为机构综合与近似综合提供了新方法.On the basis of analyzing the determination method of all solutions of nonlinear equations for mechanism problems, the spread characteristic of biological viruses was studied. Combining with the improved Newton iterative function, a new Newton iterative algorithm is presented based on the biological virus spreading algorithm to find all real solutions of nonlinear equations. The computing process is also given. The numerical example in the direct displacement solution of the dodecahedron variable geometry truss manipulator shows that the method is correct and effective. It provides a new method for mechanism synthesis and approximate synthesis.

关 键 词：病毒传播算法 变几何桁架机器人 非线性方程组 位置正解 机构综合 

分 类 号：TH112[机械工程—机械设计及理论] TH113.502