用同伦迭代法进行平面Stephenson Ⅲ型六杆机构的函数发生器综合

Synthesis of Planar Stephenson Ⅲ Six link Mechanism for Function Generation

用同伦迭代法对平面 Ｓｔｅｐｈｅｎｓｏｎ Ⅲ型六杆机构的函数发生器综合问题进行了求解。作者针对该问题的数学模型为巨大的高亏欠非线性多项式系统的特点，采取了对同伦路径进行两步跟踪的同伦迭代法，从中首次找到了实现最大精确点时该问题的一批有意义的实解，为实际机构的设计提供了多个选择方案。

In this paper, the problem of function generation for planar Stephenson Ⅲ six link mechanism is solved by homotopy iteration method. Two step homotopy path tracking scheme is adopted in this method according to the feature of the mathmatic model for this problem which is a buge and highly dificient nonlinear polynomial system,and thus meaningful solutions for this problem with maximum precision positions are obained for the first time.