A new modified Lindstedt-Poincare method for nonlinear damped forced oscillations

被引：1
|
作者：
Alam, M. Z. [1 ]
Hosen, Md. Alal [1 ]
Alam, M. S. [1 ]
机构：
[1] Rajshahi Univ Engn & Technol RUET, Dept Math, Rajshahi 6204, Bangladesh
来源：
RESULTS IN PHYSICS | 2023年 / 51卷
关键词：
Modified Lindstedt-Poincare method; Nonlinear damped forced oscillators; Approximate solutions; Frequency amplitude relation;
D O I：
10.1016/j.rinp.2023.106673
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nonlinear damped forced oscillators are very importance in the fields of mechanical, electrical and other dynamical systems. Small oscillations are being investigated by classical perturbations. Earlier Cheung et al. presented a modified Lindstedt-Poincare method for large amplitude of oscillation; but its mathematical manipulation is tremendously difficult. Moreover, it fails to determine the solutions when linear restoring force vanishes. In this article, a modification of the same method is made which greatly reduces mathematical cal-culations. On the other hand, it provides more accurate results and is used whether linear restoring force is present or not.
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页数：8
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