free vibration of an FG sandwich plate in a hygrothermal environment with viscoelastic foundation

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.

Featured Image

Photo by Alberto Caliman on Unsplash

Photo by Alberto Caliman on Unsplash

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.

Perspectives