机构综合的牛顿优化迭代混沌方法研究  

Research on Newton Optimization Iteration Chaos Methods of Mechanism Synthesis

作　　者：罗佑新[1] 郭惠昕[1] 肖伟跃[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》2005年第6期11-13,共3页Journal of Mechanical Transmission

基　　金：湖南省教育厅重点项目资助(04A036);教育部重点科研项目(02108)

摘　　要：将基于混沌的牛顿优化迭代方法与机构学综合理论相结合,把机构学综合的非线性方程组转化为优化问题,然后构造排斥二周期点方程,通过逆像迭代求得排斥二周期点ZJ,利用点集ZJ出现的混沌分形特性求出机构综合的全部解。以平面铰链四杆机构的函数综合为例,研究了平面连杆机构的综合问题,得到了能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。本文的工作为平面及空间机构的综合与近似综合研究开辟了新途径。Combining with Newton optimization iteration methods based on chaos and mechanism synthesis theory,non-linear equations of mechanism synthesis is transformed to optimization problem.Then,repulsion two cycle point equation is constructed,repulsion two cycle point Z_J is found by inverseimage iteration,therefore,all solutions are obtained by making use of the chaos phenomena and fractal structures of basins of attractions of points Z_J. As an example the problem of function generation for planar four-link mechanism is considered,synthesis of planar-linkage was studied and some mechanism projects are obtained for synthesis and approximate synthesis to given positions.This enables to multi-projects selection.This method is adaptive to planar multi-linkage and special mechanism.It is a new simple realization method for mechanics design.

关 键 词：混沌迭代算法 优化 连杆机构 近似综合 JULIA集 

分 类 号：TH112[机械工程—机械设计及理论] TP18[自动化与计算机技术—控制理论与控制工程]