A comprehensive computational approach to assess the influence of the material composition on vibration, bending and buckling response of FG beam lying on viscoelastic foundation

Brahim Laoud, Samir Benyoucef, Attia Bachiri, Rabbab Bachir Bouiadjra, Abdelouahed Tounsi, Mahmoud M Selim and Hosam A. Saad

Abstract

This paper proposes an analytical solution for the free vibration, bending and buckling a functionally graded (FG) beam resting on viscoelastic foundation. The materials characteristics of the FG beam are considered to be varying across the thickness according several power law functions. The governing equations are found analytically using a quasi-3D model that contains undetermined integral forms and involves few unknowns to derive. Navier's method for simply supported beam is employed to solve the problem. Numerical examples are presented and studied to demonstrate the accuracy and effectiveness of the proposed model. Then, a detailed parametric study is presented in the form of tables and graphs to study and analyze the effects of the different parameters on the response of FG beams with different material compositions resting on a viscoelastic foundation.

Key Words

bending; FG beam; material composition; vibration; buckling; viscoelastic foundation

Address

Brahim Laoud:Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria Samir Benyoucef:Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria Attia Bachiri:Departement genie civil, faculte de genie civil et d'architecture, Universite Ammar Telidji Laghouat, Algeria Rabbab Bachir Bouiadjra:1)Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria 2)Departement of Civil Engineering, University Mustapha Stambouli of Mascara, Algeria Abdelouahed Tounsi:1)Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon 2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia Mahmoud M Selim:Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia Hosam A. Saad:Department of Chemistry, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

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