【摘要】 对于多自由度非线性动力系统,提出一种求解周期解的大范围收敛方法,这种算法对处理非线性动力系统有较强的功能。结合数值延拓算法,为求解具有系统参数的非线性动力系统在整个系统参数范围内的周期解提供了有效的方法。更多还原

【Abstract】 The analysis of dynamic system with multiple degrees of freedom usually encounter extreme nonlinearity,which exactly interpret the mechanisms of some phenomena.The fundamental response of a nonlinear nonautonomous system,may bifurcatate from periodic motion as system parameter varies,thus to determine the periodic solution is required in such case.An efficient method to evaluate nonlinear vibration periodic solution is proposed where a global convergence of periodic solutions can be achieved,and Euler-Newton algorithm based on predictor corrector method is used to trace the solution path.The examples confirm efficiency of this continuation algorithm.更多还原