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Structural Engineering and Mechanics Volume 31, Number 4, March 10 2009 , pages 453-476 DOI: https://doi.org/10.12989/sem.2009.31.4.453 |
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Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method |
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Yusuf Yesilce and Seval Catal
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| Abstract | ||
| The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams on elastic soil is plenty, but the free vibration analysis of Reddy-Bickford beams on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded Reddy-Bickford beam on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton | ||
| Key Words | ||
| differential transform method; elastic soil; free vibration; partial differential equation; Reddy-Bickford beam. | ||
| Address | ||
| Yusuf Yesilce and Seval Catal: Dokuz Eylul University, Civil Engineering Department, Engineering Faculty, 35160, Buca, Izmir, Turkey | ||