新型混沌映射牛顿迭代法研究与曲柄滑块机构函数综合

New type Newton Iterative Method based on chaos mapping andplanar crank-slide mechanism synthesis

运用一维混沌映射产生初始点,再映射到变量区间,为牛顿迭代初值进行求解非线性方程组,提出了基于混沌映射的牛顿迭代法求解非线性方程组的新方法.对曲柄滑块机构进行了研究,给出了算例.该方法简单、实用,为实际机构的设计提供了多种选择方案,为机构学设计提供了新方法.

Based on the idea of generating the initial points through one dimension chaos mapping, and then taking them as the initial values by mapping them to the variable interval, a new method based on chaos mapping Newton Iterative to seek the solutions of nonlinear equations is proposed. Additionally, research on crank-slide mechanism by applying this method is conducted. The results show that this method, a fire-new one for mechanism design, is simple and practical, and can offer multiple selections for practical mechanism design.