In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. In this paper, the HBM is mainly illustrated by the cubic-quintic Duffing oscillator. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator’s problems
The Duffing-harmonic oscillator is a common model in nonlinear sciences and engineering. In the pres...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...
In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongl...
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions ...
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions...
In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring ...
We introduce an analytical technique to solve strongly nonlinear oscillators with cubic and harmonic...
AbstractIn the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic re...
In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring ...
In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance...
et al. This is an open access article distributed under the Creative Commons Attribution License, wh...
Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in ...
AbstractIn the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic re...
We apply an Artificial Parameter Lindstedt-Poincaré Method (APL-PM) to find improved approximate sol...
The Duffing-harmonic oscillator is a common model in nonlinear sciences and engineering. In the pres...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...
In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongl...
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions ...
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions...
In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring ...
We introduce an analytical technique to solve strongly nonlinear oscillators with cubic and harmonic...
AbstractIn the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic re...
In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring ...
In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance...
et al. This is an open access article distributed under the Creative Commons Attribution License, wh...
Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in ...
AbstractIn the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic re...
We apply an Artificial Parameter Lindstedt-Poincaré Method (APL-PM) to find improved approximate sol...
The Duffing-harmonic oscillator is a common model in nonlinear sciences and engineering. In the pres...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...
The aim of this paper is to use high-order harmonic balance method (HBM) as a novel solution procedu...