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

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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 \(({c}_{t})\) 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.

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Acknowledgements

The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum and Minerals (KFUPM), Saudi Arabia, for funding this work through Project No. DF181032. The support provided by the Department of Civil and Environmental Engineering is also acknowledged.

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Correspondence to Abdelouahed Tounsi.

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Zaitoun, M.W., Chikh, A., Tounsi, A. et al. An efficient computational model for vibration behavior of a functionally graded sandwich plate in a hygrothermal environment with viscoelastic foundation effects. Engineering with Computers 39, 1127–1141 (2023). https://doi.org/10.1007/s00366-021-01498-1

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