Sub-Harmonic Resonances of Periodic Parameter Excited Oscillators with Discontinuities
Jifeng Cui
(School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)
Abstract:
It is difficult to obtain analytic approximations of nonlinear problems such as parameter excited system with strong nonlinearity. An analytic approach based on the homotopy analysis method (HAM) is proposed to study the sub-harmonic resonances of highly nonlinear parameter excited oscillating systems with absolute value terms. The non-smoothness of absolute value terms is handled by means of an iteration approach with Fourier expansion. Two typical examples are employed to illustrate the validity and flexibility of this approach. The square residuals of the homotopy-approximations of the two examples decrease to 10-6 and 10-5, respectively. Thus, the HAM combining with other methods gives hope to solve complex singular oscillating systems analytically.
Key words: periodic parameter excited oscillator sub-harmonic resonance HAM Fourier expansion
DOI：10.11916/j.issn.1005-9113.2015.04.009
Clc Number:O29,O32
Fund:
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Sub-Harmonic Resonances of Periodic Parameter Excited Oscillators with Discontinuities
本站小编 哈尔滨工业大学/2019-10-23
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