用MLP法求强非线性保守系统的次谐共振周期解  

SOLVING SUBHARMONIC AND ULTRAHARMONIC RESONANCE PERIODIC SOLUTIONS OF STRONGLY NONLINEAR CONSERVATIVE SYSTEMS WITH THE MLP METHOD

作　　者：彭献[1] 盛国刚[2] 钱长照[1] 

机构地区：[1]湖南大学工程力学系,长沙410082 [2]长沙理工大学桥梁与结构工程系,长沙410076

出　　处：《振动与冲击》2004年第3期21-23,共3页Journal of Vibration and Shock

基　　金：湖南省自然科学基金资助项目 (0 1JJY2 0 0 7)

摘　　要：在两种改进的LP解法的基础上 ,将它们结合起来 ,用于求强非线性保守系统的次谐共振周期解。研究了Duffing方程的 1/3亚谐共振周期解和 2次超谐共振周期解 。Two improved LP(Lindstedt-Poincare) methods are combined to solve subharmonic and ultraharmonic resonance periodic solutions of strongly nonlinear conservative systems. The 1/3 subharmonic and 2 ultraharmonic resonance periodic solutions of the Duffing equation are studied. The results show that this method can be used not only to solve a series of subharmonic and ultraharmonic resonance periodic solutions, but also to improve their accuracy.

关 键 词：强非线性 保守系统 周期解 超谐共振 亚谐共振 计算精度 方程 解法 基础 方法 

分 类 号：TU311[建筑科学—结构工程] O322[理学—一般力学与力学基础]