A modified Lindstedt-Poincare method for a strongly nonlinear system with quadratic and cubic nonlinearities

被引：26
作者：
Chen, SH
Cheung, YK
机构：
来源：
SHOCK AND VIBRATION | 1996年 / 3卷 / 04期
关键词：
D O I：
10.1155/1996/231241
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A modified Lindstedt-Poincare method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. Different parameter transformations are introduced to deal with equations with differ ent nonlinear characteristics. All examples show that the efficiency and accuracy of the present method are very good. (C) 1996 John Wiley & Sons, Inc.
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页码：279 / 285
页数：7
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