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PLANE STRAIN FINITE ELEMENT VIBRATION ANALYSIS OF BEAMS

In the present study , the free vibration of beam structures is analyzed by a plane strain finite element method . The displacement-type plane strain finite element formulation is based on elasticity and has no any other assumptions and simplifications except that the beam is of moderate depth . Also, all the displacement boundary conditions can be imposed exactly . These are the advantages that beam theories of conventional approach, which simulate beams with neutral plane behaviors, do not have. Therefore the present analyses should be able to obtain natural frequency and mode shape more accurately than conventional methods.
The numerical values of natural frequencies of the present approach will be compared with previously published results of the Euler-Bernoulli beam theory and Timoshenko beam theory ,
and further with the high order beam theory to reveal their diff -erences .The effects of geometry ratio and displacement boundary condition on natural frequency of beams are also discussed.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0722103-163359
Date22 July 2003
CreatorsChu, Chun-Nan
ContributorsChorng-Fuh Liu, Ming-Hwa R Jen, Shyue-Jian Wu
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0722103-163359
Rightsrestricted, Copyright information available at source archive

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