What is it about?
This work enhanced the understanding of the impact of the damping coefficient and drew the following conclusions: • The increase in damping coefficient (ct) as a property of the viscoelastic foundation would enhance the free-vibrational response of the plate in the same manner among all types of FGSP: Type A, Type B, and Type C. • The effect of the damping coefficient (ct) over the natural frequency is not influenced by the plate’s configuration. • The natural frequency of FGSP is enhanced by the increase in damping coefficient value more significantly when the temperature difference (ΔT) is at low levels. • At high moisture concentrations, the damping coefficient tends to enhance the rigidity of the plate. • The change of temperature profile would affect the natural frequency of the plate.
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Why is it important?
The analytical solutions for the “fundamental frequency” of an FGSP resting on a viscoelastic foundation can be obtained using Navier’s procedure. This paper has examined the FGSP in many different aspects considering all of the stated variations, including temperature variation, moisture, aspect ratio, power index, and plate type with different geometries. The analytical solution is obtained with the help of Navier’s solution, whereas Hamilton’s principle is used in the case of the governing equation derivation.
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This page is a summary of: An efficient computational model for vibration behavior of a functionally graded sandwich plate in a hygrothermal environment with viscoelastic foundation effects, Engineering With Computers, September 2021, Springer Science + Business Media, DOI: 10.1007/s00366-021-01498-1.
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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
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.
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