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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0722103-163359 |
| Date | 22 July 2003 |
| Creators | Chu, Chun-Nan |
| Contributors | Chorng-Fuh Liu, Ming-Hwa R Jen, Shyue-Jian Wu |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0722103-163359 |
| Rights | restricted, Copyright information available at source archive |
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