Analysis and computation of the vibration spectrum of the shallow circular cylindrical shell with rectangular domain |
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Authors: | Matthew P Coleman |
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Institution: | Department of Mathematics and Computer Science, Fairfield University, North Benson Road, Fairfield, CT 06430-5195, USA |
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Abstract: | An asymptotic method of Bolotin, for the computation of eigenvalues of self-adjoint problems on rectangular domains, is extended to the shallow shell equations for the vibrating circular cylindrical shell. These same eigenfrequencies are then computed using the Legendre-tau spectral method. The asymptotic and numerical results are seen to be in good agreement and, as expected, approach those of the flat plate as the curvature tends to zero. |
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