Vibrations of long narrow plates. II

Chadwick, R. S.

doi:10.1090/qam/502571

Online ISSN 1552-4485; Print ISSN 0033-569X

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Vibrations of long narrow plates. II

Author: R. S. Chadwick
Journal: Quart. Appl. Math. 36 (1978), 155-166
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/502571
MathSciNet review: 502571
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Abstract | References | Similar Articles | Additional Information

Abstract: An asymptotic theory for the natural bending modes of a long narrow plate having variable width and thickness is constructed. A two-variable expansion and a transition layer expansion are matched to find the mode shapes and eigenvalues.

R. S. Chadwick, Vibrations of long narrow plates. I, Quart. Appl. Math. 36 (1978/79), no. 2, 141–154. MR 502570, DOI https://doi.org/10.1090/S0033-569X-1978-0502570-9

J. R. Vinson, Structural mechanics: the behavior of plates and shells, Wiley & Sons, New York, 1974

Enrico Fermi, Notes on quantum mechanics, The University of Chicago Press, Chicago, Ill., 1961. MR 0135485