Longitudinal Motion of a Thick Transversely Isotropic Hollow Cylinder

[+] Author and Article Information
Y. M. Tsai

Department of Engineering Science and Mechanics, Center for NDE, Iowa State University, Ames, IA 50011

J. Pressure Vessel Technol 113(4), 585-589 (Nov 01, 1991) (5 pages) doi:10.1115/1.2928799 History: Received July 09, 1990; Revised April 25, 1991; Online June 17, 2008


The propagation of a longitudinal harmonic wave in a transversely isotropic shell has been investigated in the development of ultrasonic techniques for thick hollow composite cylinders. The characteristic equation for satisfying the stress-fee inner and outer cylindrical boundaries has been obtained in an exact form in terms of the wavelength, the cylinder radii and the material constants. The phase velocity of the fundamental mode is calculated for a wide range of the wavelength for various cylinder radii for some typical sample materials. The shell wave speeds for the second mode of vibration are also presented. Comparisons are made between shell wave speeds and plate wave speeds. The spread of the wave speeds for the composite shells is shown to be much wider than that for an isotropic shell.

Copyright © 1991 by The American Society of Mechanical Engineers
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