TY  - JOUR
TT  - DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING
AU  - Ozgan, Korhan
AU  - Daloglu, Ayse T.
PY  - 2014
DA  - December
DO  - 10.24107/ijeas.251231
JF  - International Journal of Engineering and Applied Sciences
JO  - IJEAS
PB  - Akdeniz University
WT  - DergiPark
SN  - 1309-0267
SP  - 40
EP  - 51
VL  - 6
IS  - 4
KW  - Finite element method
KW  - Thick plate
KW  - Vlasov model
KW  - Time variable loading
N2  - In this paper, behavior of foundation plates with transverse shear deformation under time variable loading is presented using modified Vlasov foundation model. Finite element formulation of thick plates on elastic foundation is derived by using an 8-noded finite element based on Mindlin plate theory. Selective reduced integration technique is used to avoid shear locking problem which arises when smaller plate thickness is considered for the evaluation of the stiffness matrices. After comparisons are made with the results given in the literature, the effects of the ratio of plate thickness to shorter span of the plate, aspect ratio, subsoil depth, loaded area, time variable loading type and pulse duration of impulsive load on its responses are analyzed. The results demonstrate that these parameters have significant influence on the dynamic behavior of the plate on elastic foundation
CR  - 1] Selvaduari, A.P.S., Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Company, Amsterdam, 1979
CR  - [2] Omurtag, M.H., Özütok, A., Aköz, A.Y. and Özçelikörs, Free Vibration Analysis of Kirchhoff Plates Resting on Elastic Foundation by Mixed Finite Element Formulation Based on Gateaux Differential, International Journal for Numerical Methods in Engineering, 40, 295-317, 1997
CR  - [3] Shen, H.S., Ynag, J. and Zhang, L., Free and Forced Vibration of Reissner-Mindlin Plates with Free Edges Resting on Elastic Foundations, J. of Sound and Vibration, 244(2), 299-320, 2001
CR  - [4] Huang, M.H. and Thambiratnam, D.P., Dynamic Response of Plates on Elastic Foundation to Moving Loads, Journal of Engineering Mechanics, 128(9), 1016-1022, 2002
CR  - [5] Sun, L., Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads, Journal of Applied Mechanics, 70, 595-600, 2003
CR  - [6] Malekzadeh, P. and Karami, G.), Vibration of Non-Uniform Thick Plates on Elastic Foundation by Differential Quadrature Method, Engineering Structures. 26(10), 1473-1482, 2004
CR  - [7] Celep, Z. and Güler, K., Static and Dynamic Responses of A Rigid Circular Plate on a Tensionless Winkler Foundation, Journal of Sound and Vibration, 276, 449-458, 2004
CR  - [8] Eröz, M. and Yildiz, A., Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate resting on Rigid Foundation, Journal of Applied Mathematics, 2, 1-12, 2007
CR  - [9] Yu, L., Shen, H.S. and Huo, X.P., Dynamic Responses of Reissner-Mindlin Plates with Free Edges Resting on Tensionless Elastic Foundations, J. of Sound & Vibration, 299, 212-228, 2007
CR  - [10] Wen, P.H. and Aliabadi, M.H., Boundary Element Formulations for Mindlin Plate on an Elastic Foundation with Dynamic Load, Engnr. Analysis with Boundary Elements, 33, 1161-1170, 2009
CR  - [11] Motaghian, S., Moffid, M. and Akin, J. E., On The Free Vibration response of Rectangular Plates, Partially Supported on Elastic Foundation, Applied Mathematical Modelling, 36, 4473- 4482, 2012
CR  - [12] Kutlu, A., Uğurlu, B., Omurtag, M. E. and Ergin, A., Dynamic Response of Mindlin Plates Resting on Arbitrarily Orthotropic Pasternak Foundation and Partially in Contact with Fluid, Ocean Engineering, 42, 112-125, 2012
CR  - [13] Özdemir, Y. I., Development of a Higher Order Finite Element on a Winkler Foundation, Finite Elements in Analysis and Design, 48, 1400-1408, 2012
CR  - [14] Ozgan, K. and Daloglu, A.T., Application of The Modified Vlasov Model to The Free Vibration Analysis of Thick Plates Resting on Elastic Foundation, Shock and Vibration, 16, 439-454, 2009
CR  - [15] Turhan, A., A Consistent Vlasov Model for Analysis of Plates on Elastic Foundations Using the Finite Element Method, Ph. D. Thesis, The Graduate School of Texas Tech. University. Lubbock, Texas, 1992
CR  - [16] Daloglu, A., Dogangun, A. and Ayvaz, Y., Dynamic Analysis Of Foundation Plates Using A Consistent Vlasov Model, Journal of Sound and Vibration, 224(5), 941-951, 1999
CR  - [17] Bathe, K.J., Finite Element Procedures, Upper Saddle River, NJ: Prentice-Hall, 1996
CR  - [18] Weaver, W. and Johnston, P.R., Finite Elements for Structural Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1984
CR  - [19] Ozgan, K., Finite Element Analysis of Thick Plates on Elastic Foundation Using Modified Vlasov Model and Determination of The Effective Depth of Soil Stratum, Ph. D. Thesis, Karadeniz Technical University. Trabzon, Turkey (in Turkish), 2007
CR  - [20] Ozgan, K. and Daloglu, A.T., Effect of Transverse Shear Strain on Plates Resting on Elastic Foundation using Modified Vlasov Model, Thin Walled Structures, 46, 1236-1250, 2008
CR  - [21] Ozgan, K. and Daloglu, A.T., Free Vibration of Thick Plates on Elastic Foundations using Modified Vlasov Model with Higher Order Finite Elements, Indian Journal of Engineering & Material Sciences, 19, 279-291, 2012
UR  - https://doi.org/10.24107/ijeas.251231
L1  - https://dergipark.org.tr/en/download/article-file/217734
ER  -