RPT Finite Element Formulation for Linear Dynamic Analysis of orthotropic Plates

Document Type : Article

Authors

Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, P.O. Box-71555-313, Iran.

Abstract

This paper presents finite element formulation for dynamic analysis of orthotropic plates using two-variable refined plate theory (RPT). Hamilton's principle is employed to obtain the governing equations and the semi-discrete approach is utilized for solving the equations. After constructing spatial weak form equations, a 4-node rectangular plate element with six degrees of freedom (DOFs) per node is introduced for discretization of the domain. An unconditionally stable implicit Newmark scheme is used for temporal discretization. A MATLAB code with capability of modeling both static and dynamic plate problems with various boundary conditions is generated. Several numerical problems are solved and the obtained displacements and stresses are compared with the existing results in the literature. The results demonstrate the accuracy, simplicity and efficiency of present method in dynamic analysis of plate problems.

Keywords

Main Subjects


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Biographies
Jafar Rouzegar is currently an Assistant Professor
at the Department of Mechanical and Aerospace Engineering
of Shiraz University of Technology, Iran. He
received his BSc degree in Mechanical Engineering
from Shiraz University, Iran in 2002. He also received
his MSc and PhD degrees in Mechanical Engineering
from Tarbiat Modares University, Iran in 2004 and
2010, respectively. His research interests include FEM
and XFEM, theories of plates and shells, and fracture
mechanics.
Mohammad Sayedain received his BSc in Mechanical
Engineering from Vali-e-Asr University, Rafsanjan,
Iran in 2013. He also received his MSc degree
in Mechanical Engineering from Shiraz University of
Technology, Iran in 2015. His research interests include
FEM, theories of plates and shells and composite
materials.