强非线性Duffing系统分岔响应分析的MLP方法

同时考虑阻尼对响应频率和相位的影响，引入简单的变换，将有阻尼Duffing系统进行重写，得到的新系统在使用MLP方法的参数变换中，待定参数不受初始条件的影响，直接应用MLP方法有效的推导出受简谐激励作用下的含有阻尼的强非线性Duffing系统主共振和1／3亚谐共振的分岔响应方程．首次将MLP方法直接应用于含有阻尼的Duffing系统，极大的推广了MLP方法的应用范围，并对退化为无阻尼系统的结果与现有文献结果相比较，得到满意的结论．

Application of MLP method in analyzing bifurcation for strongly nonlinear duffing system

The effects of damp on frequency and phase were considered at the same time.A simple transfer formulation was denoted.The original system can be transferred as a new system which can be studied using MLP method directly.Using the MLP method,the bifurcation equations of primary resonance and 1/3 subharmonic resonance for strongly nonlinear Duffing system were obtained.For the first time,the MLP method has been used in studying the Duffing system with damp items and the application scope for MLP method is ext...