Free vibration analysis of a rigidly fixed viscothermoelastic hollow sphere

J. N. Sharma (), D. K. Sharma () and S. S. Dhaliwal ()
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J. N. Sharma: National Institute of Technology
D. K. Sharma: Sant Longowal Institute of Engineering and Technology
S. S. Dhaliwal: Sant Longowal Institute of Engineering and Technology

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 5, 559-586

Abstract: Abstract In this paper an exact analysis of homogenous rigidly fixed vibrations of viscothermoelastic hollow sphere is presented. The basic governing partial differential equations have been reduced to ordinary differential equations by using Helmholtz decomposition equations. The uncoupled equation is taken for first class vibrations and remains independent of temperature variations, while coupled system of equations are taken for second class vibrations. Matrix Fröbenious method of extended power series has been applied in the coupled system of differential equations to get displacements and temperature. Numerical results have been presented, giving lowest frequency, dissipation factor, displacements and temperature change.

Keywords: Toroidal; spheroidal; stresses; vibrations; Fröbenius method; spherical structures (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0030-y

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