Dynamic Response of the Rectangular Plate Subjected to Moving Loads with Variable Velocity
Publication: Journal of Engineering Mechanics
Volume 140, Issue 4
Abstract
The dynamic response of a rectangular plate on a viscoelastic foundation under moving loads with varying velocity is investigated. Three types of moving loads, including acceleration, deceleration, and uniform speed are discussed. Analytical solutions of the dynamic deflection of a plate with general boundary conditions subjected to moving loads are presented by means of dealing with the governing equation. In the numerical analysis, a plate with four edges simply supported is selected to study the dynamic response yielded by the moving loads. The deflection distributions in the range of the plate for the accelerated and decelerated load cases are illustrated. The time histories of the deflection response corresponding to different acceleration and deceleration levels are investigated in detail. The effects of the initial speed of the moving load and the damping of the foundation on the response are also discussed.
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References
Abu-Hilal, M., and Mohsen, M. (2000). “Vibration of beams with general boundary conditions due to a moving harmonic load.” J. Sound Vibrat., 232(4), 703–717.
Abu-Hilal, M., and Zibdeh, H. S. (2000). “Vibration analysis of beams with general boundary conditions traversed by a moving force.” J. Sound Vibrat., 229(2), 377–388.
Auersch, L. (2008). “The effect of critically moving loads on the vibrations of soft soils and isolated railway tracks.” J. Sound Vibrat., 310(3), 587–607.
Fryba, L. (1999). Vibration of solids and structures under moving loads, Telford, London.
Huang, M.-H., and Thambiratnam, D. P. (2001). “Deflection response of plate on Winkler foundation to moving accelerated loads.” Eng. Struct., 23(9), 1134–1141.
Huang, Y. H. (1998). Pavement analysis and design, Prentice Hall, Upper Saddle River, NJ.
Kim, S. M., Won, M. C., and McCullough, B. F. (2001). “Transformed field domain analysis of pavements subjected to moving dynamic tandem-axle loads and integrating their effects into the CRCP-10 program.” Research Rep. 1831-5, Center for Transportation Research, Univ. of Texas, Austin, TX.
Liu, C., McCullough, B. F., and Oey, H. S. (2000). “Response of rigid pavements due to vehicle-road interaction.” J. Transp. Eng., 237–242.
Mamandi, A., Kargarnovin, M. H., and Farsi, S. (2010). “An investigation on effects of traveling mass with variable velocity on nonlinear dynamic response of an inclined Timoshenko beam with different boundary conditions.” Int. J. Mech. Sci., 52(12), 1694–1708.
Sun, L. (2006). “Analytical dynamic displacement response of rigid pavements to moving concentrated and line loads.” Int. J. Solids Struct., 43(14-15), 4370–4383.
Wu, J. J. (2005). “Dynamic analysis of a rectangular plate under a moving line load using scale beams and scaling laws.” Comp. Struct., 83(19-20), 1646–1658.
Zheng, X. P. (1990). “Dynamic analysis of airport pavement.” Acta Aeronaut. Astronaut. Sin., 11(3), 146–155.
Zhong, Y., Gao, Y., and Li, M. (2012). “Dynamic response of rigid pavement under moving traffic load with variable velocity.” Baltic J. Road Bridge Eng., 7(1), 48–52.
Zibdeh, H. S. (1995). “Stochastic vibration of an elastic beam due to random moving loads and deterministic axial forces.” Eng. Struct., 17(7), 530–535.
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© 2014 American Society of Civil Engineers.
History
Received: Mar 30, 2012
Accepted: Jul 1, 2013
Published online: Jul 4, 2013
Published in print: Apr 1, 2014
Discussion open until: Jun 3, 2014
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