Email this article 
Open Access
Subscription or Fee Access
Dynamic Response of a Plate on Elastic Foundation Under Moving Vertical and In-Plane Loads
(*) Corresponding author
DOI: https://doi.org/10.15866/ireme.v9i6.7649
Abstract
Aim of the present work is the investigation of the effect of in-plane loads on the dynamic response of a plate on elastic foundation under moving load. The used methodology is based on application of a zero order Hankel transform on the governing differential equation, yielding an algebraic equation with respect to the transformed variable. Then, the Hankel transformed deflection of the plate can be obtained by the solution of the algebraic equation. Analytic inversion of the transformed variable is achieved yielding an integral representation of the plate deflection. The new contribution is the determination of the dynamic response of the plate versus in-plane forces, speed of moving load, and distance from the loading source. The results indicated that the dynamic deflection takes high values for high velocity of the moving load. Moreover, compressive in-plane loads yield an amplification of the dynamic deflection amplitude.
Copyright © 2015 Praise Worthy Prize - All rights reserved.
Keywords
References
Rasid, Z.A., Zahari, R., Ayob, A., The post-buckling behavior of the composite plates with embedded shape memory alloy subjected to combined loading using finite element method, (2013) International Review of Mechanical Engineering (IREME), 7 (6), pp. 1121-1127.
Amraoui, M.A., Aliane, K., Dynamic and thermal study of the three-dimensional flow in a flat plate solar collector with transversal baffles, (2014) International Review of Mechanical Engineering (IREME), 8 (6), pp. 1030-1036.
http://dx.doi.org/10.15866/ireme.v8i6.1623
El Youbi, M., Rougui, M., Modeling the effect of boundary conditions on the stability of multilayer composite structures: Case of buckling bifurcation. Analytical and numerical results using “SHELL 181” element, (2015) International Review of Mechanical Engineering (IREME), 9 (3), pp. 307-313.
http://dx.doi.org/10.15866/ireme.v9i3.6082
M.A. Goudarzi, Seismic design of a double deck floating roof type used for liquid storage tanks, Journal of Pressure Vessel Technology, Transactions of the ASME, Vol. 137, n. (4), pp. 1-7, 2015.
http://dx.doi.org/10.1115/1.4029111
J.H. Lee, J.K. Kim, Dynamic response analysis of a floating offshore structure subjected to the hydrodynamic pressures induced from seaquakes, Ocean Engineering, Vol. 101, pp. 25-39, 2015.
http://dx.doi.org/10.1016/j.oceaneng.2015.04.010
Y. Cheng, G. Zhai, J. Ou, Numerical and experimental analysis of hydroelastic response on a very large floating structure edged with a pair of submerged horizontal plates, Journal of Marine Science and Technology, Vol. 20, pp. 127-141, 2015.
http://dx.doi.org/10.1007/s00773-014-0269-y
G. Martinček, Dynamic of pavement structures (Taylor and Francis. London. 2006).
N.D. Beskou, D.D. Theodorakopoulos, Dynamic effects of moving loads on road pavements: a review. Soil Dynamics and Earthquake Engineering, Vol. 31, pp. 547-567, 2011.
http://dx.doi.org/10.1016/j.soildyn.2010.11.002
C.M. Wang, D.C. Pham, K.K. Ang, Effectiveness and optimal design of grill cells in minimizing differential deflection in circular VLFS, Engineering Structures, Vol. 29, pp. 1845-1853, 2007.
http://dx.doi.org/10.1016/j.engstruct.2006.10.010
L.-C. Qiu, Numerical simulation of transient hydroelastic response of a floating beam induced by landing loads, Applied Ocean Research, Vol. 29, pp. 91-98, 2007.
http://dx.doi.org/10.1016/j.apor.2007.11.001
R. Shabani, F.G. Golzar, Large deflection analysis of floating roofs subjected to earthquake ground motions, Nonlinear Analysis: Real World Applications, Vol. 13, n. 5, pp. 2034-2048, 2012.
http://dx.doi.org/10.1016/j.nonrwa.2011.12.026
R. Shabani, S. Tariverdilo, H. Salarieh, G. Rezazadeh, Importance of the flexural and membrane stiffnesses in large deflection analysis of floating roofs. Applied Mathematical Modelling, Vol. 34, pp. 2426-2436, 2010.
http://dx.doi.org/10.1016/j.apm.2009.11.008
S.A. Neves, B.M. Gibbs, Low frequency impact sound transmission in dwellings through homogeneous concrete floors and floating floors, Applied Acoustics, Vol. 72, pp. 177-189, 2011.
http://dx.doi.org/10.1016/j.apacoust.2010.11.006
A. Joodaky, I. Joodaky, A semi-analytical study on static behavior of thin skew plates on Winkler and Pasternak foundations, International Journal of Mechanical Sciences, Vol. 100, pp. 322-327, 2015.
http://dx.doi.org/10.1016/j.ijmecsci.2015.06.025
D.G. Pavlou, Elastodynamic analysis of a thin layer bonded on a visco-elastic medium under combined in-plane and lateral pulse loads, Mechanics Research Communications, Vol. 38, pp. 546-552, 2011.
http://dx.doi.org/10.1016/j.mechrescom.2011.07.004
L. Frýba, Vibration of solids and structures under moving loads (Thomas Telford. London. 1999).
http://dx.doi.org/10.1680/vosasuml.35393
http://www.wolfram.com/
I.N. Sneddon, Fourier Transforms (McGraw-Hill. New York. 1951).
D.G. Pavlou, Green’s functions for a pre-stressed thin plate on an elastic foundation under axisymmetric loading, Engineering Analysis of Boundary Elements, Vol. 29, pp. 428-434, 2005.
http://dx.doi.org/10.1016/j.enganabound.2005.02.001
I.N. Sneddon, The use of integral transforms (McGraw-Hill. New York. 1972).
Refbacks
- There are currently no refbacks.
Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize
