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Structural Engineering and Mechanics Volume 28, Number 6, April20 2008 , pages 635-658 DOI: https://doi.org/10.12989/sem.2008.28.6.635 |
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Free vibration analysis of plates resting on elastic foundations using modified Vlasov model |
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Yusuf Ayvaz and Celal Burak Oguzhan
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| Abstract | ||
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An application is presented of a modified Vlasov model to the free vibration analysis of plates resting on elastic foundations. The effects of the subsoil depth, the ratio of the plate dimensions, the ratio of the subsoil depth to the plate dimension in the longer direction, and the value of the vertical deformation parameter within the subsoil on the frequency parameters of plates on an elastic foundation are investigated. This analysis has been caried out by the aid of a computer program. The first ten frequency parameters are presented in tabular and the graphical forms to evaluate the effects of the parameters considered in this study. Then mode shapes corresponding to the first six of the frequency parameters are given in graphs. It is concluded that the effect of the subsoil depth on the frequency parameters of the plates on an elastic foundation is generally larger than those of the other parameters considered in this study. | ||
| Key Words | ||
| modified Vlasov model; plates; elastic foundation; free vibration; parametric analysis. | ||
| Address | ||
| Yusuf Ayvaz: Dept. of Civil Engineering, Karadeniz Technical University, 61080 Trabzon, Turkey Celal Burak Oguzhan: 12th Regional Directorate of State Hydraulic Works, 38060 Kayseri, Turkey | ||