【作者】 冯春； 陈永；

【Author】 Feng Chun , Chen Yong (School of Mechanical Engineering,Southwest Jiaotong University,Chendu 610031 ,China)

【机构】 西南交通大学机械工程学院；

【摘要】 牛顿—拉夫森(Newton-Raphson,NR)搜索技术是一种非线性的离散动力系统,提出了一种求解NR迭代函数的Julia点的优化模型及进化规划求解方法,利用非线性离散动力系统在其Julia集出现混沌分形现象的特点,提出了一种基于NR搜索技术的求解非线性方程全部根的新方法;该方法对构成的平面四杆机构实现9个轨迹点的综合问题进行求解,表明了该方法的正确性。更多还原

【Abstract】 Newton-Raphson search technique is a nonlinear discrete dynamic system,the optimum model to find Julia set point of Newton-Raphson iterative function is proposed and it’s solved by evolutionary programming. The Julia set which is the boundaries of basins of attractions (roots) display the intricate fractal structures and chaos phenomena. A novel method based on utilizing sensitive fractal areas to locate the Julia set point to all the solutions of synthesis of planar four-bar linkage for path generation with nine precision points is proposed. The numerical simulation results show that the method is effective更多还原