Wide-Band Random Vibration of Circular Plates

[+] Author and Article Information
K. Itao

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

S. H. Crandall

Massachusetts Institute of Technology, Cambridge, Mass.

J. Mech. Des 100(4), 690-695 (Oct 01, 1978) (6 pages) doi:10.1115/1.3453994 History: Received June 24, 1977; Online October 21, 2010


When a uniform circular thin plate is excited at a point by a stationary wide-band random force process the transverse motion response at any point is also a wide-band random process. If enough modes are excited, however, there is an unexpectedly simple pattern in the spatial distribution of mean-square response. The main features of the pattern are narrow lanes of intensified response along the diameter through the driving point and along the circle, concentric with the plate boundary, which passes through the driving point. This phenomenon is investigated analytically and experimentally for a free-edged aluminum plate, 0.16 cm (1/16 in.) thick and 0.91 m (3 ft) in diameter. Qualitative agreement is obtained between measured response distributions and the predictions of an idealized analytical model for excitation bandwidths within the range from 500 to 5000 Hz.

Copyright © 1978 by ASME
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