Free Vibration Analysis of Rigidly Fixed Axisymmetric Viscothermoelastic Cylinder

DOI10.1007/978-981-15-1157-8_9zbMath1445.74025OpenAlexW3012268947MaRDI QIDQ3299986

Himani Mittal, Dinesh Kumar Sharma

Publication date: 27 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1157-8_9

zbMATH Keywords

iterative procedureseries solutionmatrix Frobenius methodexponentionally graded material

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Thermal effects in solid mechanics (74F05)

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Vibration analysis of axisymmetric functionally graded viscothermoelastic spheres
• Free vibration analysis of a rigidly fixed viscothermoelastic hollow sphere
• Effect of rotary inertia on stability of axially accelerating viscoelastic Rayleigh beams
• Thermoelasticity
• Analysis of free vibrations in axisymmetric functionally graded thermoelastic cylinders
• Electro-magneto interaction in a two-dimensional generalized thermoelastic solid cylinder
• A generalized dynamical theory of thermoelasticity
• The Frobenius method for complex roots of the indicial equation
• Propagation of Rayleigh waves along isothermal and insulated boundaries
• Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena