Earticle

초록

영어

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.

목차

Abstract
 1. Introduction
 2. Basic Idea of HAM
 3. Result Analysis
 4. Conclusions
 Acknowledgements
 References

키워드

저자

• Wen Jianmin [ School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, 264209 Weihai, China ]
• You Bindi [ School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, 264209 Weihai, China ] Corresponding Author
• Zhao Jijun [ School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, 264209 Weihai, China ]
• Sun Jianhua [ School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, 264209 Weihai, China ]
• Yu Guangbin [ School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, 264209 Weihai, China ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Hybrid Information Technology

• 간기

  격월간

• pISSN

  1738-9968

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605