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Structural Engineering and Mechanics Volume 37, Number 1, January10 2011 , pages 61-77 DOI: https://doi.org/10.12989/sem.2011.37.1.061 |
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Response of a completely free beam on a tensionless Pasternak foundation subjected to dynamic load |
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Z. Celep, K. Guler and F. Demir
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| Abstract | ||
| Static and dynamic responses of a completely free elastic beam resting on a two-parameter tensionless Pasternak foundation are investigated by assuming that the beam is symmetrically subjected to a uniformly distributed load and concentrated load at its middle. Governing equations of the problem are obtained and solved by paying attention on the boundary conditions of the problem including the concentrated edge foundation reaction in the case of complete contact and lift-off condition of the beam in a two-parameter foundation. The nonlinear governing equation of the problem is evaluated numerically by adopting an iterative procedure. Numerical results are presented in figures to demonstrate the non-linear behavior of the beam-foundation system for various values of the parameters of the problem comparatively by considering the static and dynamic loading cases. | ||
| Key Words | ||
| elastic beam; two-parameter foundation; lift-off. | ||
| Address | ||
| Z. Celep: Department of Structural and Earthquake Engineering, Faculty of Civil Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey K. Guler: Department of Structural and Earthquake Engineering, Faculty of Civil Engineering, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey F. Demir: Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, 32260 Isparta, Turkey | ||