Affiliation:
1. Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi, Bangladesh
Abstract
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.
Subject
Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering