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Non-linear vibration of a moderately thick shallow clamped arch

✍ Scribed by P.N. Singh; S.M.J. Ali

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 381 KB
Volume: 41
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(75)80174-x

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✦ Synopsis

Large amplitude flexural vibrations of a moderately thick arch have been studied. The material of the arch has been assumed to be homogeneous, isotropic and linearly elastic. Governing equations have been derived by the variational method. Values of the period for different amplitudes, for arches with built-in ends, have been computed by numerical integration. Phenomena like dynamic buckling, transition from a slightly curved beam to a shallow arch, etc., have been discussed. Results computed for the limiting case of a thin beam are in good agreement with the existing results.

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