Analysis of Free Vibrations of Conical Shells Using Donnell’s Approximations

[+] Author and Article Information
V. C. M. de Souza, J. M. F. Saraiva

Curso de Mestrado em Engenharia Civil, Universidade Federal Fluminense, 24210-000, Niterói, Rio de Janeiro, Brazil

Appl. Mech. Rev 48(11S), S84-S89 (Nov 01, 1995) doi:10.1115/1.3005087 History: Online April 29, 2009


The free vibrations of conical shells, having two open rigidly clamped edges, are investigated by using a variational development of the equations of motion based upon the Classical Shell Theory, and results are compared with those obtained by using Donnell’s approximation in the development of these equations. Through suitable examples, the validity of Donnell’s approximation to compute natural frequencies and mode-shapes of conical shells is shown.

Copyright © 1995 by The American Society of Mechanical Engineers
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