机构综合的混沌优化算法

Chaos Optimization Algorithm for Mechanism Synthesis

针对机构综合的非线性方程组求解问题提出了一种混合混沌算法,将方程组转换成一个优化问题,然后利用优化问题的非线性共轭梯度法与混沌优化方法相结合进行优化求解,该算法能使非线性共轭梯度法跳出局部最优,最终获得全局最优.机构综合实例表明:笔者提出的方法能够求出非线性方程组的所有实数解,算法有效、简单、实用.

Aiming at solving the nonlinear equations of mechanism synthesis, a hybrid chaotic algorithm is presented. The equations are transformed into an optimization problem. A new hybrid algorithm which combines the chaos optimization method and the nonlinear conjugate gradient method approach having an effective convergence property is proposed. The hybrid algorithm can help the conjugate gradient approach to skip the local minimum and finally can find the global minimum. The numerical example of mechanism synthesis shows all real solutions can be found with the proposed method and it shows the efficiency of this algorithm. The proposed method is simple and easy to use, and it is valuable to popularize it.