Paper Title:
Frequency–Amplitude Relationship of Coupled Anharmonic Oscillators
  Abstract

The frequency–amplitude relationship of coupled anharmonic oscillators is an important problem. Many powerful methods for solving this problem have been proposed. He’s parameter-expanding method is an important one. It holds the advantages of modified Lindstedt–Poincare parameter method and bookkeeping parameter method. The first iteration is enough. It is very effective and convenient and quite accurate to both linear and nonlinear problems. In this paper, He’s parameter-expanding method is applied to coupled anharmonic oscillators. The frequency-amplitude relationship and the first-order approximate solution of the oscillators are obtained respectively. The solution procedure shows that the method is very powerful and convenient to nonlinear oscillator. This method has great potential and can be applied to other types of nonlinear oscillator problems.

  Info
Periodical
Chapter
Chapter 1: Vibration Engineering
Edited by
Paul P. Lin and Chunliang Zhang
Pages
271-274
DOI
10.4028/www.scientific.net/AMM.105-107.271
Citation
Z. B. Li, W. H. Zhu, "Frequency–Amplitude Relationship of Coupled Anharmonic Oscillators", Applied Mechanics and Materials, Vols. 105-107, pp. 271-274, 2012
Online since
September 2011
Export
Price
$32.00
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