Effect of phase-lags on the vibrations of rigidly fixed non-homogeneous thermo-visco-elastic cylinder

• Published in: AIP conference proceedings Vol. 2451; no. 1
• Main Authors: Mittal, H., Walia, V., Mehalwal, J. C., Sharma, D. K.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 07.10.2022
• Subjects: Boundary conditions; Damping; Elastic cylinders; Frequency shift; Functionally gradient materials; Iterative methods; Phase lag; Resonant frequencies; Thermoelasticity; Viscoelasticity
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0095267

The functionally graded non-homogeneous nonlocal thermo-visco-elastic cylinder/disk with three-phase-lag effect has been addressed for rigidly fixed boundary conditions. The boundaries of the disk have been considered as thermally cushioned/isothermally bounded due to rigidly fixed surfaces. Due to exponent law the material has been supposed to be graded in radial direction. Three–phase–lag model with Eringen’s nonlocal generalized thermoelasticity theory has been investigated. The continued series solution has been commenced for analytical results. The frequency relations for the possible modes are designed to develop its dense form. To examine the eminence of vibrations, the frequency equations are further determined by applying iteration method. The numerical results are presented graphically subject to natural frequencies, frequency shift, and damping for thermally insulated boundaries.