Wide-Band Random Axisymmetric Vibration of Cylindrical Shells

[+] Author and Article Information
I. Elishakoff

Department of Aeronautical Engineering, Technion, Israel Institute of Technology, Haifa, Israel

A. Th. van Zanten

Computing Center, University of Stuttgart, Stuttgart, West Germany

S. H. Crandall

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

J. Appl. Mech 46(2), 417-422 (Jun 01, 1979) (6 pages) doi:10.1115/1.3424565 History: Received July 01, 1978; Online July 12, 2010


Analytical and numerical results are reported for the random vibrations of a uniform circular cylindrical shell excited by a ring load which is uniform around the circumference and random in time. The time history of loading is taken to be a stationary wide-band random process. The shell response is essentially one-dimensional but differs qualitatively and quantitatively from the response distributions for point-excited uniform strings and beams because of the large modal overlaps at the low end of the spectrum of shell natural frequencies. The contributions from the modal cross-correlations (which can usually be neglected for strings and beams) introduce an asymmetry into the distribution of mean-square response and can alter the magnitude of the local response considerably. For example, in a thin shell with a radius-to-length ratio of 0.5 the contribution to the mean-square velocity at the driven section due to the modal cross-correlations can be more than three times that due to the modal autocorrelations when the excitation is a band-limited white noise which includes 81 modes.

Copyright © 1979 by ASME
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