An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the Adomian decomposition method

Hsin Yi Lai, Jung Chang Hsu, Cha'o Kuang Chen

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)

Abstract

This paper deals with free vibration problems of Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian decomposition method (ADM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain ith natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literature. These results indicate that the present analysis is accurate, and provides a unified and systematic procedure which is simple and more straightforward than the other modal analysis.

Original languageEnglish
Pages (from-to)3204-3220
Number of pages17
JournalComputers and Mathematics with Applications
Volume56
Issue number12
DOIs
Publication statusPublished - 2008 Dec

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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