A simple modified harmonic balance method for strongly nonlinear oscillator with cubic non-linearity and harmonic restoring force
Nazmul Sharif,
Helal Uddin Molla,
Abdul Alim
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 meth… Show more
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