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ASYMPTOTIC ANALYSIS OF THE DYNAMIC PROBLEM OF THE THEORY OF ELASTICITY FOR A TRANSVERSE ISOTROPIC HOLLOW CYLINDER

✍ Scribed by M.F. MEKHTIEV; R.M. BERGMAN

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 410 KB
Volume: 244
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3471

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✦ Synopsis

The forced vibrations of a transverse isotropic hollow cylinder, loaded by an axisymmetric harmonic force at the butt ends, are studied using the homogeneous solutions method. A dispersion equation for the corresponding three-dimensional elastic problem is derived that relates the wave number to the frequency of oscillations. This equation is solved by an asymptotic method in the case of a thin wall and the possible waveforms of the tube are found.

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