Dynamic Response of a Viscoelastic Cylinder With Ablating Inner Surface

[+] Author and Article Information
J. D. Achenbach

Department of Civil Engineering, Northwestern University, Evanston, Ill.

J. Appl. Mech 33(2), 275-281 (Jun 01, 1966) (7 pages) doi:10.1115/1.3625038 History: Received October 09, 1964; Revised July 20, 1965; Online September 15, 2011


The effects of ablation and viscoelasticity on the vibratory response of a hollow cylinder are investigated. The cylinder is subjected to a time-dependent internal pressure. Solutions are presented for the circumferential stress at the eroding inner surface and for the displacement in radial direction. It is found that, due to ablation, frequencies decrease and amplitudes increase. The increases in amplitudes due to ablation are counteracted by viscoelastic damping. In this analysis, it is assumed that the material is incompressible in bulk and viscoelastic in shear.

Copyright © 1966 by ASME
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