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**

- Orthotropic
- Finite Element Method
- Dynamic analysis
- Two-variable refined plate theory
- Rectangular plate element

**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.

Transactions on Mechanical Engineering (B)

March and April 2018Pages 813-823