基于Liu混沌系统的机构综合求解方法研究  

The Research of Mechanism Synthesis Methods based on Liu Chaotic System

作　　者：车晓毅[1] 何哲明[1] 罗佑新[1] 

机构地区：[1]湖南文理学院机械工程系,湖南常德415000

出　　处：《机械传动》2009年第2期26-28,共3页Journal of Mechanical Transmission

基　　金：湖南省"十一五"重点建设学科(机械设计及理论)(湘教通2006180);国家自然科学基金资助(No:50845038);湖南省自然科学基金(07JJ3093);湖南科技厅计划项目(2007FJ3030)

摘　　要：将牛顿迭代法与混沌序列相结合,首次利用Liu提出的新混沌系统的混沌运动产生混沌序列作为机构综合问题求过程的牛顿迭代法的初始值,从而求出所有解的新方法,并以平面铰链四杆机构的导引综合为例,研究了利用该系统混沌运动对机构导引综合问题的求解方法,得到了能近似实现给定运动条件的多个机构方案,使机构运动综合的多方案优选成为可能。The problems of mechanism synthesis and approximate synthesis can be transformed into nonlinear equations to be found.Newton iterative method is an important technique to one dimensional and multidimensional variable and iterative process exhibits sensitive dependence on initial guess points,but only one solution can be found.Combining Newton iterative method and chaotic sequences,based on chaotic motion of new chaotic system advanced by Liu lately,a novel method of mechanism synthesis was put forward.All solutions of the nonlinear questions of mechanism synthesis were found by utilizing chaotic sequences of chaotic motion of new chaotic system to obtain locate initial points.As an example the problem of function generation for planar four-linkage guide mechanism was considered.This makes that multi-projects selecting could be possible.This method is adaptive to planar multi-linkage and spatial mechanism.This provides a new simple realization method for mechanics design.

关 键 词：混沌运动 LIU混沌系统 平面连杆机构 机构综合 

分 类 号：TH112[机械工程—机械设计及理论] O415.5[理学—理论物理]