This paper contains an analysis of the free vibrations of uniformly pretwisted rectangular plates, utilizing the exact equations of classical shallow-shell theory. Specifically, solutions are given (a) for two opposite edges simply supported and the other two free, and (b) for all four edges simply supported. Numerical results obtained for case (b) are compared with previous results for the torsional vibrations of pretwisted beams. A simple frequency equation is obtained for case (b), permitting a detailed study of the effects of both pretwist and longitudinal inertia.
On Vibrations of Pretwisted Rectangular Plates
R. P. Nordgren
Institute of Engineering Research, University of California, Berkeley, Calif.
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Nordgren, R. P. (March 1, 1962). "On Vibrations of Pretwisted Rectangular Plates." ASME. J. Appl. Mech. March 1962; 29(1): 30–32. https://doi.org/10.1115/1.3636493
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