Abstract
In this paper the dynamic response of a simply-supported, finite length Euler-Bernoulli beam with uniform cross-section resting on a linear and nonlinear viscoelastic foundation acted upon by a moving concentrated force is studied. The Galerkin method is utilized in order to solve the governing equations of motion. Results are compared with the finite element solution for the linear foundation model in order to validate the accuracy of the solution technique. A good agreement between the two solution techniques is observed. The effect of the nonlinearity of foundation stiffness on beam displacement is analyzed for different damping ratios and different speeds of the moving load. The results for the time response of the midpoint of the beam are presented graphically.
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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin
A. Deniz Senalp received his B.S. degree in Aeronautical Engineering from Istanbul Technical University, Turkey, in 2005. He then received his M.S. degree from the same department of ITU in 2008. A. Deniz Senalp is currently a Research Assistant and PhD. Student in ITU Aeronautics and Astronautics Department.
Aytac Arikoglu received his B.S and M.S. degrees from Istanbul Technical University in 2002 and 2004 respectively. He is currently a PhD candidate and a research assistant in the Faculty of Aeronautics and Astronautics in ITU. His research areas are applied mathematics, thermodynamics and vibration analysis of sandwich structures.
Ibrahim Ozkol is working in Istanbul Technical University at the faculty of aeronautics and astronautics as a Professor. His research interests are fluid mechanics, dynamics, kinematics and control of parallel mechanisms.
Vedat Z. Dogan received the BS degree from Istanbul Technical University, Turkey; the M.S. and Ph.D. degrees from Columbia University in New York, USA. He currently works as an Associate Professor in the Department of Aeronautical Engineering at Istanbul Technical University, Istanbul, Turkey. His current research interests include structural dynamics, plates and shells, and random vibrations.
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Senalp, A.D., Arikoglu, A., Ozkol, I. et al. Dynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force. J Mech Sci Technol 24, 1957–1961 (2010). https://doi.org/10.1007/s12206-010-0704-x
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DOI: https://doi.org/10.1007/s12206-010-0704-x