Research Articles | Challenge Journal of Structural Mechanics

Free vibration analysis of thick plates resting on Winkler elastic foundation

Korhan Özgan, Ayşe T. Daloğlu


DOI: https://doi.org/10.20528/cjsmec.2015.06.015
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Abstract


The purpose of this study is to determine the effects of various parameters such as the aspect ratio, subgrade reaction modulus and thickness/span ratio on the frequency parameters of thick plates resting on Winkler-type elastic foundations. For this purpose, 4-noded (PBQ4) and 8-noded (PBQ8) Mindlin plate elements are adopted for the analysis using Winkler foundation model. Two different integration rules, namely the full integration (FI) and the selective reduced integration (SRI) techniques, are used to obtain stiffness matrix of plates. The results obtained in this study are compared with the results that are obtained by SAP2000 structural analysis software.


Keywords


finite element method; thick plate theory; elastic foundation; Winkler model; free vibration

References


Hsu MH (2010). Vibration analysis of orthotropic rectangular plates on elastic foundations. Composite Structures, 92, 844-852.

http://dx.doi.org/10.1016/j.compstruct.2009.09.015

Jedrysiak J (2003). Free vibration of thin periodic plates interacting with an elastic periodic foundation. International Journal of Mechanical Sciences, 45, 1411-1428.

http://dx.doi.org/10.1016/j.ijmecsci.2003.09.011

Kolar V, Nemec I (1989). Modelling of Soil Structures Interaction. Elsevier, Amsterdam.

Leung AYT, Zhu B (2005). Transverse vibration of Mindlin plates on two parameter foundations by analytical trapezoidal p-elements. Journal of Engineering Mechanics, 131(11), 1140-1145.

http://dx.doi.org/10.1061/(ASCE)0733-9399(2005)131:11(1140)

Malekzadeh P (2009). Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations. Composite Structures, 89, 367-373.

http://dx.doi.org/10.1016/j.compstruct.2008.08.007

Omurtag MH, Özütok A, Aköz AY, Özçelikörs Y (1997). 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.

http://dx.doi.org/10.1002/(SICI)1097-0207(19970130)40:2<295::AID-NME66>3.0.CO;2-2

Özgan K, Daloğlu AT (2007). Alternative plate finite elements for the analysis of thick plates on elastic foundations. Structural Engineering Mechanics, 1, 69-86.

http://dx.doi.org/10.12989/sem.2007.26.1.069

Özgan K, Daloğlu AT (2009). Application of the modified Vlasov model to the free vibration analysis of thick plates resting on elastic foundations. Shock and Vibration, 16, 439-454.

http://dx.doi.org/10.1155/2009/780268

Shen HS, Yang J, Zhang L (2001). Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations. Journal of Sound and Vibrations, 244(2), 299-320.

http://dx.doi.org/10.1006/jsvi.2000.3501

Tovstik PYe (2009). The vibration and stability of a prestressed plate on elastic foundation. Journal of Applied Mathematics and Mechanics, 73, 77-87.

http://dx.doi.org/10.1016/j.jappmathmech.2009.03.005

Weaver W, Johnston PR (1984). Finite Elements for Structural Analysis. Prentice-Hall Inc., Englewood Cliffs. NJ.

http://dx.doi.org/10.1115/1.3167704

Zhong Y, Yin JH (2008). Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method. Mechanics Research Communications, 35, 268-275.

http://dx.doi.org/10.1016/j.mechrescom.2008.01.004

Zhou D, Lo SH, Au FTK (2006). Three-dimensional free vibration of thick circular plates on Pasternak foundation. Journal of Sound and Vibration, 292, 726-741.

http://dx.doi.org/10.1016/j.jsv.2005.08.028


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