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 language | English |
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Pages (from-to) | 965-981 |
Number of pages | 17 |
Journal | Journal of Sound and Vibration |
Volume | 318 |
Issue number | 4-5 |
DOIs | |
Publication status | Published - 2008 Dec 23 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Acoustics and Ultrasonics
- Mechanics of Materials
- Mechanical Engineering