A new plate model for vibration response of advanced composite plates in thermal environment

Ouahiba Taleb , Mohammed Sid Ahmed Houari , Aicha Bessaim , Abdelouahed Tounsi , S.R. Mahmoud

Abstract

In this work, a novel hyperbolic shear deformation theory is developed for free vibration analysis of the simply supported functionally graded plates in thermal environment and the FGM having temperature dependent material properties. This theory has only four unknowns, which is even less than the other shear deformation theories. The theory presented is variationally consistent, without the shear correction factor. The present one has a new displacement field which introduces undetermined integral variables. Equations of motion are obtained by utilizing the Hamilton\'s principles and solved via Navier\'s procedure. The convergence and the validation of the proposed theoretical model are performed to demonstrate the efficacy of the model.

Key Words

FG plates; new plate theory; vibration; analytical modeling; thermal environment

Address

Ouahiba Taleb — University Mustapha Stambouli of Mascara, Department of Civil Engineering, Mascara, Algeria; Laboratoire des Sciences et Techniques de l\'Eau, University Mustapha Stambouli of Mascara, Mascara, Algeria; Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, Departement de Genie Civil, Algeria
Mohammed Sid Ahmed Houari — University Mustapha Stambouli of Mascara, Department of Civil Engineering, Mascara, Algeria; Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Aicha Bessaim — University Mustapha Stambouli of Mascara, Department of Civil Engineering, Mascara, Algeria; Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de Genie Civil, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia; Laboratoire de Modelisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes, Algeria
S.R. Mahmoud — Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

← Back to Volume 67, No. 4