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 language | English |
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Pages (from-to) | 3204-3220 |
Number of pages | 17 |
Journal | Computers and Mathematics with Applications |
Volume | 56 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2008 Dec |
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics