Periodic solutions of strongly non-linear oscillators by the multiple scales method

被引：30
|
作者：
Lakrad, F
Belhaq, M
机构：
[1] Free Univ Berlin, Inst Math 1, D-14195 Berlin, Germany
[2] Univ Hassan 2, Fac Sci Ain Chock, Lab Mech, Casablanca, Morocco
来源：
JOURNAL OF SOUND AND VIBRATION | 2002年 / 258卷 / 04期
关键词：
D O I：
10.1006/jsvi.2002.5145
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of non-linearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order approximations, of solution as well as modulations of amplitude and phase, are derived. Comparisons to numerical simulations are provided and discussed. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：677 / 700
页数：24
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