Vibration of a Plate With Internal Constraints

[+] Author and Article Information
W. H. Yang

Department of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 41(4), 1072-1074 (Dec 01, 1974) (3 pages) doi:10.1115/1.3423436 History: Received December 01, 1973; Revised March 01, 1974; Online July 12, 2010


Plate vibration is an old subject in mechanics in which the boundary value problems have almost been exhausted. But in practice, very few plates are constrained only along the boundary. Internal constraints are often imposed on the plate in addition to its boundary conditions in the form of rivet and spot welding. A new algebraic method is applied to a internally constrained plate. The fundamental frequency modified by an internal constraint is displayed. Bounds on all frequencies are given.

Copyright © 1974 by ASME
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