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Elastic Waves in Generalized Thermo-Piezoelectric Transversely Isotropic Circular Bar Immersed in Fluid

Published online by Cambridge University Press:  21 December 2015

Palaniyandi Ponnusamy
Palaniyandi Ponnusamy*
Affiliation:
Department of Mathematics, Government Arts College (Autonomous), Coimbatore-641018, Tamil Nadu, India
*
*Corresponding author. Email:pponnusamy2013@gmail.com (P. Ponnusamy)
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Abstract

In this paper, a mathematical model is developed to study the wave propagation in an infinite, homogeneous, transversely isotropic thermo-piezoelectric solid bar of circular cross-sections immersed in inviscid fluid. The present study is based on the use of the three-dimensional theory of elasticity. Three displacement potential functions are introduced to uncouple the equations of motion and the heat and electric conductions. The frequency equations are obtained for longitudinal and flexural modes of vibration and are studied based on Lord-Shulman, Green-Lindsay and Classical theory theories of thermo elasticity. The frequency equations of the coupled system consisting of cylinder and fluid are developed under the assumption of perfect-slip boundary conditions at the fluid-solid interfaces, which are obtained for longitudinal and flexural modes of vibration and are studied numerically for PZT-4 material bar immersed in fluid. The computed non-dimensional frequencies are compared with Lord-Shulman, Green-Lindsay and Classical theory theories of thermo elasticity for longitudinal and flexural modes of vibrations. The dispersion curves are drawn for longitudinal and flexural modes of vibrations. Moreover, the dispersion of specific loss and damping factors are also analyzed for longitudinal and flexural modes of vibrations.

Keywords

43.40.Ey43.88.Fx43.40.Cw43.20.BiPiezoelectric cylinders/platesthermo-elasticthermal cylinder immersed in fluidsolid-fluid interactiontransversely isotropic cylinder
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 1 , February 2016 , pp. 82 - 103
Copyright
Copyright © Global-Science Press 2016 

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