Free Vibration of Axially Loaded Laminated Conical Shells

[+] Author and Article Information
L. Tong

Department of Aeronautical Engineering, University of Sydney, New South Wales 2006 Australia

J. Appl. Mech 66(3), 758-763 (Sep 01, 1999) (6 pages) doi:10.1115/1.2791722 History: Received July 28, 1998; Revised December 14, 1998; Online October 25, 2007


Analytical solutions for the three displacements are obtained, in the form of power series, directly from the three governing equations for free vibration of laminated conical shells under axial load. Numerical results are presented for free vibration of axially loaded laminated conical shells with different geometric parameters and under two types of boundary conditions. It is found that an axial tension increases the frequencies while an axial compression decreases the frequencies. For the shells studied, the effect of axial load on the lowest frequency of the shell is found to be not sensitive to change in semivertex angle when the applied axial load is kept as a constant fraction of the critical buckling load. However, the axial load effect becomes very sensitive to variation in semivertex angle when a constant axial load is applied.

Copyright © 1999 by The American Society of Mechanical Engineers
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