A simple modified harmonic balance method for strongly nonlinear oscillator with cubic non-linearity and harmonic restoring force

被引：3

作者：

Sharif, Nazmul ^{[1
,2
]}

Molla, Helal Uddin ^{[1
]}

Alim, Abdul ^{[1
]}

机构：

[1] Rajshahi Univ Engn & Technol, Dept Math, Rajshahi, Bangladesh

[2] Rajshahi Univ Engn & Technol, Dept Math, Rajshahi 6204, Bangladesh

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2024年 / 43卷 / 01期

关键词：

Modified harmonic balance method; nonlinear oscillator; periodic solution; ENERGY-BALANCE; RIGID-ROD; ACCURATE SOLUTIONS; ASYMPTOTIC METHODS; CIRCULAR SURFACE; APPROXIMATIONS; BEHAVIOR; SYSTEMS;

D O I：

10.1177/14613484231198958

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this article, a very simple modified form of the harmonic balance method is used to solve a strongly nonlinear oscillator with cubic nonlinearity and harmonic restoring force. Taylor series expansion up to third term is considered for the harmonic restoring force. The first approximate solutions of the present method pleasantly agree with the numerical solution obtained by Runge-Kutta fourth order method. Accuracy and simplicity of the present method solution is established when compared with the other method solutions. The present method can be utilized to other nonlinear oscillators.

引用

页码：250 / 262

页数：13