Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method. Issue 6 (4th November 2019)

• Record Type: Journal Article
• Authors: Biswas, Siddhartha
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 15:Issue 6(2019)
• Page Start: 1212
• Page End: 1237
• Publication Date: 2019-11-04
• Subjects: Three-phase-lag model -- Frequency equation -- Hollow cylinder -- Matrix Frobenius method -- Transversely isotropic medium; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-04-2019-0074
• Languages: English
• ISSNs: 1573-6105

Abstract

Abstract : Purpose: The purpose of this paper is to deal with the three-dimensional analysis of free vibrations in a stress-free and rigidly fixed homogeneous transversely isotropic hollow cylinder in the context of three-phase-lag (TPL) model of hyperbolic thermoelasticity. Design/methodology/approach: The matrix Frobenius method of extended power series is employed to obtain the solution of coupled ordinary differential equations along the radial coordinate. Findings: The natural frequency, dissipation factor and inverse quality factor in the stress-free and rigidly fixed hollow cylinder get significantly affected due to thermal vibrations and thermo-mechanical coupling. Originality/value: The modified Bessel functions and matrix Frobenius method have been directly used to study the vibration model of a homogeneous, transversely isotropic hollow cylinder in the context of TPL model based on three-dimensional thermoelasticity.