Mixed Finite Element Formulation for the Free Vibration Analysis of Viscoelastic Plates with Uniformly Varying Cross-Section

Fethi Kadıoğlu and Gülçin Tekin
Department of Civil Engineering, Istanbul Technical University, Istanbul, Turkey
Abstract—This paper is concerned with the free vibration analysis of viscoelastic thin plates of uniformly varying cross-section constituted with four-parameter model under different time-dependent loadings. Mixed finite element formulation in Laplace-Carson domain is used to construct a functional for the analysis of the viscoelastic plate of uniformly varying cross-section. Four-parameter model is taken into consideration in viscoelastic modeling. Durbin inverse Laplace transform technique is utilized to obtain the viscoelastic solution in time-domain. The developed solution technique is applied to several dynamic example problems to analyze the free vibration behavior of viscoelastic plates of uniformly varying cross-section.

Index Terms— four-parameter mechanical model, free vibration analysis, Kirchhoff plate theory, mixed finite element

Cite: Fethi Kadıoğlu and Gülçin Tekin, "Mixed Finite Element Formulation for the Free Vibration Analysis of Viscoelastic Plates with Uniformly Varying Cross-Section," International Journal of Mechanical Engineering and Robotics Research, Vol. 7, No. 3, pp. 235-239, May 2018. DOI: 10.18178/ijmerr.7.3.235-239
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