Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method

Jung Chang Hsu, Steven Hsin-Yi Lai, C. K. Chen

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

This paper deals with free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian modified decomposition method (AMDM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain fth natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literatures. 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. Crown

Original languageEnglish
Pages (from-to)965-981
Number of pages17
JournalJournal of Sound and Vibration
Volume318
Issue number4-5
DOIs
Publication statusPublished - 2008 Dec 23

Fingerprint

Euler-Bernoulli beams
modal response
free vibration
Modal analysis
resonant frequencies
Natural frequencies
Decomposition
decomposition
vibration

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "This paper deals with free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian modified decomposition method (AMDM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain fth natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literatures. 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. Crown",
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Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method. / Hsu, Jung Chang; Lai, Steven Hsin-Yi; Chen, C. K.

In: Journal of Sound and Vibration, Vol. 318, No. 4-5, 23.12.2008, p. 965-981.

Research output: Contribution to journalArticle

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