Wave propagation in a transversely isotropic solid cylinder of arbitrary cross-sections immersed in fluid |
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| Authors: | P Ponnusamy M Rajagopal |
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| Institution: | 1. Faculty of Civil Engineering, Babol Noshirvani University of Technology, P.O. Box 47148‐71168, Babol, Iran;2. School of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11165-4563, Tehran, Iran;1. University of Tehran, P.O. Box 11155-4563, Tehran, Iran;2. Institute of Geophysics, ETH Zurich, 8092 Zurich, Switzerland;1. Science and Technology on Advanced Composites in Special Environments Laboratory, Harbin Institute of Technology, Harbin 150080, PR China;2. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, PR China;3. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150080, PR China |
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| Abstract: | The wave propagation in an infinite, transversely isotropic solid cylinder of arbitrary cross-section immersed in fluid is studied using the Fourier expansion collocation method, within the framework of the linearized, three-dimensional theory of elasticity. The equations of motion of solid and fluid are respectively formulated using the constitutive equations of a transversely isotropic cylinder and the constitutive equation of an inviscid fluid. Three displacement potential functions are introduced to uncouple the equations of motion along the radial, circumferential and axial directions. The frequency equations of longitudinal and flexural (symmetric and antisymmetric) modes are analyzed numerically for an elliptic and cardioidal cross-sectional transversely isotropic solid cylinder of arbitrary cross-section immersed in fluid. The computed non-dimensional wavenumbers are presented in the form of dispersion curves for the material zinc. The general theory can be used to study any kind of cylinder with proper geometric relations. |
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