Application of the Modified Vlasov Model to the free vibration analysis of thick plates resting on elastic foundations

Article type: Research Article

Authors: Ozgan, Korhan | Daloglu, Ayse T.

Affiliations: Department of Civil Engineering, Karadeniz Technical University, 61080 Trabzon, Turkey

Note: [] Corresponding author: Korhan Ozgan, Ph.D., Karadeniz Technical University, Faculty of Engineering, Civil Engineering Department, 61080 Trabzon, Turkey. Tel.: +90 462 377 2662; Fax: +90 462 377 2606; E-mail: kozgan@ktu.edu.tr or korhanozgan@yahoo.com

Abstract: The Modified Vlasov Model is applied to the free vibration analysis of thick plates resting on elastic foundations. The effects of the subsoil depth, plate dimensions and their ratio, the value of the vertical deformation parameter within the subsoil on the frequency parameters of plates on elastic foundations are investigated. A four-noded, twelve degrees of freedom quadrilateral finite element (PBQ4) is used for plate bending analysis based on Mindlin plate theory which is effectively applied to the analysis of thin and thick plates when selective reduced integration technique is used. The first ten natural frequency parameters are presented in tabular and graphical forms to show the effects of the parameters considered in the study. It is concluded that the effect of the subsoil depth on the frequency parameters of the plates on elastic foundation is generally larger than that of the other parameters considered in the study.

Keywords: Finite element method, thick plate theory, elastic foundation, Vlasov Model, free vibration

DOI: 10.3233/SAV-2009-0479

Journal: Shock and Vibration, vol. 16, no. 5, pp. 439-454, 2009