Superharmonic resonance analysis of the sandwich FGM beams with viscoelastic core layer

Hadj Youzera , Sid Ahmed Meftah , Abdelouahed Tounsi , Khaled Mohamed Khedher , Mohamed Abdelaziz Salem , Murat Yaylaci

Abstract

Nonlinear forced vibration analysisof a sandwich beam is investigated using the higher-order shear deformation theories (HSDT's). The sandwich beam is consists of viscoelastic core insert between two Functionally Graded Material layers. Viscoelastic properties are considered according to the Kelvin-Voigt viscoelastic model for isotropic materials. In the analysis, both normal and shear deformations are considered in the core by using the higher-order zig-zag theories. The method of multiple scales is coupled with a one mode Galerkin's procedure for a simply supported beam to achieve analytical frequency amplitude relationships for superharmonic resonance. Parametric study is conducted by considering various geometrical and material parameters, employing HSDT's and first-order deformation theory. The results reveal the effect of the slenderness of the sandwich beams on the hardening changes. In the other hand the results demonstrate the importance of the generic parameter "n" to reduce as far as possible the amplitude responses of the sandwich structures in superharmonic vibration case.

Key Words

forced nonlinear vibration; functionally graded material; higher-order shear theories; Kelvin-Voigt viscoelastic model; multiple scale method; perturbation method

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
Sid Ahmed Meftah — Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université DjillaliLiabes, Sidi Bel Abbes, Algérie
Abdelouahed Tounsi — 1) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia, 2) Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon
Khaled Mohamed Khedher — Department of Civil Engineering, College of Engineering, King Khalid University,Abha 61421, Saudi Arabia
Mohamed Abdelaziz Salem — Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Murat Yaylaci — 1) Department of Civil Engineering, Recep Tayyip Erdogan University, 53100, Rize, Turkey, 2) TurgutKiran Maritime Faculty, Recep Tayyip Erdogan University, 53900, Rize, Turkey, 3) Murat Yaylaci-Luzeri R&D Engineering Company, 53100, Rize, Turkey

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