Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation
From MaRDI portal
Publication:1939948
DOI10.1016/j.mechrescom.2009.03.001zbMath1258.70039OpenAlexW2126373964MaRDI QIDQ1939948
Publication date: 5 March 2013
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10045/11911
Related Items (12)
Oscillators with a quasi-constant restoring force: approximations for motion ⋮ On the solution of strong nonlinear oscillators by applying a rational elliptic balance method ⋮ Analytical solutions of a generalized Duffing-harmonic oscillator by a nonlinear time transformation method ⋮ Approximate periodic solutions for oscillatory phenomena modelled by nonlinear differential equations ⋮ The approximation of solutions for second order nonlinear oscillators using the polynomial least square method ⋮ The period function and the harmonic balance method ⋮ High-order energy balance method to nonlinear oscillators ⋮ Global error minimization method for solving strongly nonlinear oscillator differential equations ⋮ Rational variational approaches to strong nonlinear oscillations ⋮ Accurate analytical solutions to nonlinear oscillators by means of the Hamiltonian approach ⋮ Almost periodic solutions by the harmonic balance method ⋮ RATIONAL ENERGY BALANCE METHOD TO NONLINEAR OSCILLATORS WITH CUBIC TERM
Cites Work
- Unnamed Item
- Unnamed Item
- Application of He's variational iteration method to nonlinear heat transfer equations
- On the convergence of He's variational iteration method
- An analytical approximate technique for a class of strongly non-linear oscillators
- Homotopy perturbation method for bifurcation of nonlinear problems
- A new analytical approach to the Duffing-harmonic oscillator
- Comparison of alternative improved perturbative methods for nonlinear oscillations
- Construction of solitary solution and compacton-like solution by variational iteration method
- Variational approach for nonlinear oscillators
- Approximate analytical solutions for oscillation of a mass attached to a stretched elastic wire
- Comments on “investigation of the properties of the period for the nonlinear oscillator ”
- Solution of a Duffing-harmonic oscillator by the method of harmonic balance
- Higher accuracy analytical approximations to the Duffing-harmonic oscillator
- FOURIER ANALYSIS OF A RATIONAL HARMONIC BALANCE APPROXIMATION FOR PERIODIC SOLUTIONS
- Application of the homotopy perturbation method to the nonlinear pendulum
- Variational approach to the nonlinear oscillator of a mass attached to a stretched wire
- Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
- AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Alternative perturbation approaches in classical mechanics
- A generalization of the method of harmonic balance
This page was built for publication: Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation
