Thermal vibration analysis of viscoelastic functionally graded porous plate

This study examines the dynamic response of functionally graded (FG) porous viscoelastic plate under thermal conditions. The material characteristics vary depending on thickness, porosity, power law index, and temperature. Motion's equations are derived utilizing Hamilton principle and solved analytically through Navier method. The damping effect is incorporated through Kelvin viscoelastic model, offering a realistic representation of time-dependent material behavior. The developed method's validity is confirmed by comparing free vibration analysis under thermal effects with established results in the literature. As part of parametric study, free vibration analysis under thermal loading is performed, examining the variation of dimensionless fundamental frequencies with thermal loads, temperature rise types, porosity coefficients, and power law index. Also, under dynamic loads, displacement-time response and maximum displacement of the plate are evaluated for different porosity properties, material gradation transitions, thermal effects, and viscoelastic material properties. The novelty of this study primarily stems from investigating damped forced vibration behavior of FG porous plates under thermal loading by incorporating viscoelastic material model. In addition, the use of a higher-order shear deformation theory (HSDT) and the concurrent investigation of the effects of porosity, material gradation, thermal loading, and damping make the study stand out among related works.