An efficient computational model for vibration behavior of a functionally graded sandwich plate in a hygrothermal environment with viscoelastic foundation effects

Mohamad W. Zaitoun, Abdelbaki Chikh, Abdelouahed Tounsi*, Alfarabi Sharif, Mohammed A. Al-Osta, Salah U. Al-Dulaijan, Mesfer M. Al-Zahrani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

Abstract

This paper introduces the free vibrational response solution of a functionally graded (FG) “sandwich plate” resting on a viscoelastic foundation and subjected to a hygrothermal environment load using an accurate high-order shear deformation theory. In this study, three different types of FG “sandwich plate” geometries were investigated. Only four unknowns were considered in the displacement field, including an indeterminate integral, along with a sinusoidal shape function to represent transverse shear stresses. Hamilton’s principle was utilized to obtain the equation of motion by considering infinitesimal deformation theory combined with a generalized Hook’s law. The variables studied are the damping coefficient, aspect ratio, volume fraction density, moisture and temperature variation, and thickness. The results showed that the increase in damping coefficient (ct) as a property of the viscoelastic foundation would enhance the free-vibrational response of the plate. However, the degree of enhancement would be influenced by the hygrothermal environment.

Original languageEnglish
Pages (from-to)1127-1141
Number of pages15
JournalEngineering with Computers
Volume39
Issue number2
DOIs
StatePublished - Apr 2023

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature.

Keywords

  • FGM
  • Functionally graded material
  • Hygrothermal
  • Non-uniform temperature
  • Sandwich plate
  • Vibration
  • Viscoelastic foundation

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • General Engineering
  • Computer Science Applications

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