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Journal ArticleDOI

Three‐Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. II. Numerical Results

Denos C. Gazis
- 01 May 1959 - 
- Vol. 31, Iss: 5, pp 573-578
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TLDR
In this article, the results of a numerical evaluation of a characteristic equation derived in Part I, appropriate to free harmonic waves propagated along a hollow cylinder of infinite extent, were given for some representative cylinders covering the entire range from thin shells to solid cylinders.
Abstract
The results are given of a numerical evaluation of a characteristic equation derived in Part I, appropriate to free harmonic waves propagated along a hollow cylinder of infinite extent. This equation is evaluated for some representative cylinders covering the entire range from thin shells to solid cylinders, and the results are compared with the corresponding results of a shell theory. Observations are made regarding the variation of the frequency spectrum with the physical parameters, as well as the range of applicability of shell theories.

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Strain pulse propagation in composite elastic rods

TL;DR: In this article, a double transform method is used to investigate the strain pulse propagation in semi-infinite composite elastic rods under impulse stress loading at one end, and the exact solution is given as a sum of Fourier integrals which cannot be evaluated by simple means.
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A note on critical reflections of axially symmetric waves in an isotropic, elastic, hollow cylinder

TL;DR: In this article, the wave motion is evanescent in the case of an isotropic, elastic, hollow cylinder with traction-free cylindrical surfaces and a suitable limiting procedure is proposed.
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Elastic wave propagation in thick-walled hollow cylinders for damage localization through inner surface sensing.

TL;DR: In this article , the authors proposed a dedicated damage localization strategy by using the selected waves captured on the inner surface of a TWHC, where the longitudinal waves converted from the thickness-through shear bulk waves are generated to propagate along the inner surfaces.
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Energy trapping of circumferential shear horizontal wave in a hollow cylinder.

TL;DR: In this article , the authors derived exact solutions of resonant frequencies of the C-SH wave from the classical theory of guided waves propagating in a hollow cylinder and approximated solutions from the relationship between wavelength of the wave and length of circumferential path of the hollow cylinder.