A Global Residue Harmonic Balance Method for a Class of Nonlinear Jerk Equation

Xin Xue; Pei Jun Ju; Dan Sun

doi:10.4028/www.scientific.net/AMM.353-356.3324

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Application of the R-Function Theory and Variational Method for Torsion Problem with Complicated Cross-Section
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A Global Residue Harmonic Balance Method for a Class of Nonlinear Jerk Equation
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 353-356A Global Residue Harmonic Balance Method for a...

A Global Residue Harmonic Balance Method for a Class of Nonlinear Jerk Equation

Abstract:

A new approach, namely the global residue harmonic balance, was developed to determine the accurately approximate periodic solution of a class of nonlinear Jerk equation containing velocity times acceleration-squared and velocity. Unlike other improved harmonic balance methods, all the forward harmonic residuals were considered in the present approximation to improve the accuracy. Comparison of the results obtained using this approach with the exact one and the existing results reveals that the high accuracy, simplicity and efficiency of the presented solution procedure. The method can be easily extended to other strongly nonlinear oscillators.