Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703556 | Applied Mathematical Modelling | 2014 | 9 Pages |
Abstract
A new approach, namely the global residue harmonic balance method, was advanced to determine the accurate analytical approximate periodic solution of a class of strongly nonlinear oscillators. A class of nonlinear jerk equation containing velocity-cubed and velocity times displacements-squared was taken as a typical example. Unlike other harmonic balance methods, all the former residual errors are introduced in the present approximation to improve the accuracy. Comparison of the result obtained using this approach with the exact one and simplicity and efficiency of the proposed procedure. The method can be easily extended to other strongly nonlinear oscillators.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Peijun Ju, Xin Xue,