Paper Title:
Application of Homotopy Perturbation Method for Harmonically Forced Duffing Systems
  Abstract

In this paper, He’s homotopy perturbation method (HPM) is applied to solve harmonically forced Duffing systems. Non-resonance of an undamped Duffing system and the primary resonance of a damped Duffing system are studied. In the former case, the first-order analytical approximations to the system’s natural frequency and periodic solution are derived by HPM, which agree well with the numerical solutions. In the latter case, based on HPM, the first-order approximate solution and the frequency-amplitude curves of the system are acquired. The results reveal that HPM is an effective technique to the forced Duffing systems.

  Info
Periodical
Chapter
Chapter 13: Nontraditional Manufacturing
Edited by
Wu Fan
Pages
2277-2283
DOI
10.4028/www.scientific.net/AMM.110-116.2277
Citation
X. M. Zhang, B. L. Wang, X. R. Kong, A. Y. Xiao, "Application of Homotopy Perturbation Method for Harmonically Forced Duffing Systems", Applied Mechanics and Materials, Vols. 110-116, pp. 2277-2283, 2012
Online since
October 2011
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$32.00
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