Investigation of dynamic pull-in instability of suspended microchannel resonators using homotopy analysis method

In this paper, the global residue harmonic balance method is applied to obtain the approximate periodic solution and frequency for a well-known system of strongly nonlinear oscillator in engineering. This method can improve accuracy by considering all the residual errors in deriving each order approximation. With this procedure, the expressions of the higher-order approximate solution and corresponding frequency for the considered system can be determined easily. The comparison of the obtained results with previously existing and corresponding exact solutions shows the high accuracy and efficiency of the method.

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Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator

Chen

Liu

2021

Mathematical Problems in Engineering

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Investigation of dynamic pull-in instability of suspended microchannel resonators using homotopy analysis method

Cited by 1 publication

References 46 publications

Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator

Global Residue Harmonic Balance Method for a System of Strongly Nonlinear Oscillator

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