WAVE PROPAGATION IN A TRANSVERSELY ISOTROPIC THERMOELASTIC SOLID CYLINDER OF ARBITRARY CROSS-SECTION |
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| Authors: | P Ponnusamy M Rajagopal |
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| Institution: | 1. College of Civil Engineering, Hebei University of Engineering, Handan 056038, PR China;2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;3. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany |
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| Abstract: | The wave propagation in an infinite, homogeneous, transversely isotropic solid cylinder of arbitrary cross-section is studied using Fourier expansion collocation method, within the frame work of linearized, three-dimensional theory of thermoelasticity. Three displacement potential functions are introduced, to uncouple the equations of motion and the heat conduction. The frequency equations are obtained for longitudinal and flexural (symmetric and antisymmetric) modes of vibration and are studied numerically for elliptic and parabolic cross-sectional zinc cylinders. The computed non-dimensional wave numbers are presented in the form of dispersion curves. |
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| Keywords: | vibration of thermal cylinder thermoelastic stress three-dimensional stress anal-ysis wave propagation in an arbitrary cross-section |
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