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.

引用

页数：8

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