期刊名称：International Journal of Hybrid Information Technology
印刷版ISSN：1738-9968
出版年度：2014
卷号：7
期号：5
页码：147-154
DOI：10.14257/ijhit.2014.7.5.13
出版社：SERSC
摘要：An analytical technique, namely the homotopy analysis method (HAM), is applied to solve periodic solutions for superharmonic resonances of nonlinear oscillations with parametric excitation. Unlike perturbation methods, HAM does not depend on any small physical parameters at all. Thus, it is valid for both weakly and strongly nonlinear problems. Besides, different from all other analytic techniques, the HAM provides us a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter h. In this paper, periodic analytic approximations for superharmonic resonances of nonlinear oscillations with parametric excitation are obtained by using the HAM, which agree well with numerical results. This article shows that the HAM is a powerful and effective technique for nonlinear dynamical systems.
