Flexural and free vibration responses of thick isotropic bridge deck using a novel two variable refined plate theory

Fatima Zohra Djidar , Habib Hebali , Khaled Amara , Abdelouahed Tounsi , Boudjema Bendaho , M.H. Ghazwani , Muzamal Hussain

Abstract

This work presents a simple exponential shear deformation theory for the flexural and free vibration responses of thick bridge deck. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only two variables. Governing equations and boundary conditions of the theory are derived by the principle of virtual work. The simply supported thick isotropic square and rectangular plates are considered for the detailed numerical studies. Results of displacements, stresses and frequencies are compared with those of other refined theories and exact theory to show the efficiency of the proposed theory. Good agreement is achieved of the present results with those of higher order shear deformation theory (HSDT) and elasticity theory. Moreover, results demonstrate that the developed two variable refined plate theory is simple for solving the flexural and free vibration responses of thick bridge deck and can achieve the same accuracy of the existing HSDTs which have more number of variables.

Key Words

free vibration; isotropic plates; refined plate theory; static flexure; transverse shear stresses

Address

Fatima Zohra Djidar — Smart Structures Laboratory, University of Ain Témouchent, Faculty of Science & Technology, Civil Engineering Department, Algeria
Habib Hebali — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria; Civil Engineering Department, Faculty of Science & Technology, University of Mascara, Algeria
Khaled Amara — Engineering and Sustainable Development Laboratory, University of Ain Temouchent, Ain Temouchent 46000, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 7Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia
Boudjema Bendaho — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria
M.H. Ghazwani — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan

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