二维混沌映射牛顿迭代法与平面连杆机构函数综合

Two Dimension Chaos Mapping Newton Iterative Method and Its Application to Function Synthesis of Planar Linkage Mechanism

自然科学与工程中的许多问题都可以转化为非线性方程组的求解问题,牛顿迭代法是重要的一维及多维的迭代技术,其迭代本身对初始点非常敏感。运用具有一次耦合的二维Logistic模型的混沌映射产生初始点,首次提出了基于二维混沌映射的牛顿迭代法求解非线性方程组的新方法。机构精确点运动综合实例表明该方法的正确性与有效性。

Many questions in natural science and engineering are transformed into nonlinear equations to be found,Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point.For the first time,a new method to find all solutions based on utilizing two dimension chaos mapping based on logistic model with one power coupling term to obtain locate initial points to find all solutions of the nonlinear questions is proposed.The numerical examples in linkage accurate points movement synthesis show that the method is effective.