Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory

Mohammed Naim Issad , Abdelkader Fekrar , Ahmed Bakora , Aicha Bessaim , Abdelouahed Tounsi

Abstract

The present work presents a free vibration and buckling analysis of orthotropic plates by proposing a novel two variable refined plate theory. Contrary to the conventional higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed theory utilizes a novel displacement field which incorporates undetermined integral terms and involves only two unknowns. The governing equations are obtained from the dynamic version of principle of virtual works. The analytical solution of a simply supported orthotropic plate has been determined by using the Navier method. Numerical investigations are performed by employing the proposed model and the obtained results are compared with the existing HSDTs.

Key Words

two variable refined plate theory; vibration, buckling; orthotropic plate

Address

Mohammed Naim Issad, Abdelkader Fekrar and Ahmed Bakora — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Aicha Bessaim — 1.) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2.) Department of Civil Engineering, University of Mascara, Mascara, Algeria
Abdelouahed Tounsi — 1.) Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria 2.) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 3.) Laboratory of Modeling and Multi-Scale Simulation, Department of Physics, Faculty of Exact Sciences, University of Sidi Bel Abbés, Algeria

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