QUASI-PURE-CUBIC OSCILLATORS STUDIED USING A KRYLOV-BOGOLIUBOV METHOD

被引：16
|
作者：
YUSTE, SB
机构：
[1] Departamento de Física, Universidad de Extremadura
来源：
JOURNAL OF SOUND AND VIBRATION | 1992年 / 158卷 / 02期
关键词：
D O I：
10.1016/0022-460X(92)90050-8
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A method of Krylov-Bogoliubov type which gives the approximate solution in terms of Jacobi elliptic functions is used to study the quasi-pure-cubic oscillators: x ̈ + c3 x3 + εf(x, x ̇) = 0. Explicit approximate solutions with the perturbative terms x, x2, | x ̇| x ̇ (quadratic damping) and sgn (ẋ) (Coulomb damping) are given and are compared with the numerical (or exact) solution. A simple and accurate expression is derived for the time at which the oscillations with Coulomb damping cease. © 1992.
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页码：267 / 275
页数：9
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