Research ArticleNo Access

Influences of Different Boundary Conditions and Hygro-Thermal Environment on the Free Vibration Responses of FGM Sandwich Plates Resting on Viscoelastic Foundation

Industrial Engineering and Sustainable Development Laboratory, Faculty of Science & Technology, Mechanical Engineering Department, University of Rélizane, Algeria

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Abdelmoumen Anis Bousahla

https://orcid.org/0000-0001-6492-8535

Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria

E-mail Address: bousahla.anis@gmail.com

Corresponding author.

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Saeed I. Tahir

Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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Adda Hadj Mostefa

Industrial Engineering and Sustainable Development Laboratory, Department of Civil Engineering, Faculty of Science & Technology, University of Rélizane, Algeria

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Fouad Bourada

Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria

Département des Sciences et de la Technologie, Université de Tissemsilt, BP 38004, Ben Hamouda, Algérie

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Mohammed A. Al-Osta

Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia

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, and

Abdelouahed Tounsi

Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia

YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea

Lebanese American University, Beirut, Lebanon

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https://doi.org/10.1142/S0219455424501177Cited by:76 (Source: Crossref)

Abstract

This paper investigates the free vibration of functionally graded material (FGM) sandwich plates supported by different boundary conditions and influenced by a three-parameter viscoelastic foundation and hygro-thermal changes. Three types of FGM sandwich plates are studied and discussed, in which the FGM layers vary according to the power law rule and consist of ceramic and metal materials. An efficient and simple four-variable integral higher-order shear deformation theory (HSDT) is employed to model the analytical solution of the considered problem. Hamilton principle is implemented to obtain the plates’ governing equations and to derive the eigenvalue equation for the free vibration study. The model is verified by comparing numerical results with previous studies on the vibration of exponentially graded plates. New results are presented in this paper showing the influences of different boundary conditions, hygro-thermal changes, viscoelastic parameters, vibration modes, material exponents, and geometric dimensions.

Keywords:

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