Passive vibration control of sandwich beams with FGM faces and viscoelastic core resting on nonlinear foundation system

Hadj Youzera , Abdallah Zine , Sid Ahmed Meftah , Abdelouahed Tounsi , Mofareh Hassan Ghazwani , Ali Alnujaie

Abstract

The aim of the present investigation is focused on the nonlinear forced vibration analysis of porous FGM sandwich beam with a viscoelastic core resting on nonlinear elastic foundation. The analytical formulation incorporates both normal and shear deformations in the core by utilizing the Zig-Zag theories. The harmonic balance method is integrated with a one-mode Galerkin's procedure designed for a simply supported beam. The nonlinear geometric coupling and viscoelastic effects result in a frequency amplitude equation that is nonlinear and governed by multiple complex coefficients. The damping and frequency response curves are depicted and analyzed across various geometrical and mechanical configurations of sandwich beams. The results indicate that the porosity effects and elastic coefficients of the foundation exert a significant influence on the damping and nonlinear vibration response of these beams.

Key Words

analytical modeling; damping; porosity; FGM; nonlinear elastic foundation; vibration; viscoelastic; Zig-Zag theories

Address

Hadj Youzera — Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P. 29000 Mascara, Algérie
Abdallah Zine — Department of Civil Engineering, Faculty of Science and Technology, University of Relizane, Algeria
Sid Ahmed Meftah — Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université Djillali Liabes, Sidi Bel Abbes, Algérie
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Department of Civil Engineering, Algeria; 5Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mofareh Hassan Ghazwani and Ali Alnujaie — Mechanical Engineering Department, Faculty of Engineering, Jazan University, P.O. Box 45142, Jazan, Saudi Arabia

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