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摘要:
In this paper, a refined asymptotic perturbation method for general nonlinear dynamical systems is proposed for the first time. This method can be considered as an alternative means for the traditional multiple scales method. Moreover, it is easier to be understood and used to carry out higher-order perturbation analysis. In addition, three examples including the Duffing equation, a system with quadratic and cubic nonlinearities to a subharmonic excitation, as well as the coupled van der Pol oscillator with parametrical excitations are investigated to illustrate the validity and usefulness of the proposed technique. The analytical and numerical results show good agreement.
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来源 :
ARCHIVE OF APPLIED MECHANICS
ISSN: 0939-1533
年份: 2014
期: 4
卷: 84
页码: 591-606
2 . 8 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:176
JCR分区:3
中科院分区:4
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