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Structural Engineering and Mechanics Volume 42, Number 1, April10 2012 , pages 95-119 DOI: https://doi.org/10.12989/sem.2012.42.1.095 |
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Response of forced Euler-Bernoulli beams using differential transform method |
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Seval Catal
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| Abstract | ||
| In this paper, forced vibration differential equations of motion of Euler-Bernoulli beams with different boundary conditions and dynamic loads are solved using differential transform method (DTM), analytical solutions. Then, the modal deflections of these beams are obtained. The calculated modal deflections using DTM are represented in tables and depicted in graphs and compared with the results of the analytical solutions where a very good agreement is observed. | ||
| Key Words | ||
| differential transform method; forced vibration; partial differential equations; natural frequencies | ||
| Address | ||
| Seval Catal: Department of Civil Engineering, Faculty of Engineering (Applied Mathematics), Dokuz Eylul University, Izmir, Turkey | ||