Professor of School of Engineering, Design and Built Environment, Western Sydney University, Australia. His research interests cover Industry 4.0, Additive Manufacturing, Advanced Engineering Materials and Structures (Metals and Composites), Multi-scale Modelling of Materials and Structures, Metal Forming and Metal Surface Treatment.
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.
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