The study of modified method of multiple scales for primary resonance of annular plate electromechanical coupling strong nonlinear system

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (19) : 208-212.

Yang Zhi’an1, Li Xi 2, Meng Jiajia2

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Abstract

In order to study primary resonance of annular plate electromechanical coupling strong nonlinear system by applying elastic theory, the nonlinear dynamical equation of the system is established. Nonlinear oscillation equation is obtained based on the Galerkin’s method. It is Duffing-Mathieu equation with two external excitation frequencies. By means of modified method of multiple scales the approximation solutions of primary resonance of the system are acquired. Numerical analysis of the influence of different parameter is carried out.

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Yang Zhi’an1, Li Xi 2, Meng Jiajia2. The study of modified method of multiple scales for primary resonance of annular plate electromechanical coupling strong nonlinear system[J]. Journal of Vibration and Shock, 2015, 34(19): 208-212

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