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DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING

Year 2014, Volume: 6 Issue: 4, 40 - 51, 01.12.2014
https://doi.org/10.24107/ijeas.251231

Abstract

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

References

  • 1] Selvaduari, A.P.S., Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Company, Amsterdam, 1979
  • [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
  • [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
  • [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
  • [5] Sun, L., Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads, Journal of Applied Mechanics, 70, 595-600, 2003
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [17] Bathe, K.J., Finite Element Procedures, Upper Saddle River, NJ: Prentice-Hall, 1996
  • [18] Weaver, W. and Johnston, P.R., Finite Elements for Structural Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1984
  • [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
  • [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
  • [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
Year 2014, Volume: 6 Issue: 4, 40 - 51, 01.12.2014
https://doi.org/10.24107/ijeas.251231

Abstract

References

  • 1] Selvaduari, A.P.S., Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Company, Amsterdam, 1979
  • [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
  • [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
  • [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
  • [5] Sun, L., Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads, Journal of Applied Mechanics, 70, 595-600, 2003
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [17] Bathe, K.J., Finite Element Procedures, Upper Saddle River, NJ: Prentice-Hall, 1996
  • [18] Weaver, W. and Johnston, P.R., Finite Elements for Structural Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1984
  • [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
  • [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
  • [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
There are 21 citations in total.

Details

Other ID JA66DB64JB
Journal Section Articles
Authors

Korhan Ozgan This is me

Ayse T. Daloglu This is me

Publication Date December 1, 2014
Published in Issue Year 2014 Volume: 6 Issue: 4

Cite

APA Ozgan, K., & Daloglu, A. T. (2014). DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING. International Journal of Engineering and Applied Sciences, 6(4), 40-51. https://doi.org/10.24107/ijeas.251231
AMA Ozgan K, Daloglu AT. DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING. IJEAS. December 2014;6(4):40-51. doi:10.24107/ijeas.251231
Chicago Ozgan, Korhan, and Ayse T. Daloglu. “DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING”. International Journal of Engineering and Applied Sciences 6, no. 4 (December 2014): 40-51. https://doi.org/10.24107/ijeas.251231.
EndNote Ozgan K, Daloglu AT (December 1, 2014) DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING. International Journal of Engineering and Applied Sciences 6 4 40–51.
IEEE K. Ozgan and A. T. Daloglu, “DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING”, IJEAS, vol. 6, no. 4, pp. 40–51, 2014, doi: 10.24107/ijeas.251231.
ISNAD Ozgan, Korhan - Daloglu, Ayse T. “DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING”. International Journal of Engineering and Applied Sciences 6/4 (December 2014), 40-51. https://doi.org/10.24107/ijeas.251231.
JAMA Ozgan K, Daloglu AT. DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING. IJEAS. 2014;6:40–51.
MLA Ozgan, Korhan and Ayse T. Daloglu. “DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING”. International Journal of Engineering and Applied Sciences, vol. 6, no. 4, 2014, pp. 40-51, doi:10.24107/ijeas.251231.
Vancouver Ozgan K, Daloglu AT. DYNAMIC RESPONSE OF THICK PLATES ON TWO PARAMETER ELASTIC FOUNDATION UNDER TIME VARIABLE LOADING. IJEAS. 2014;6(4):40-51.

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