Abstract
We construct the solution of the problem on the steady-state vibrations of a finite boxed shell of square cross-section with symmetry conditions at the shell ends. We present the dispersion curves, find the natural frequencies, and study the stress distribution in the shell. We obtain a simple formula for the approximate analysis of the shell in the case of low-frequency vibrations on the basis of the expansion of the solution in two small parameters and on the Lagrange interpolation formula.
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References
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Original Russian Text © V.M. Vorobel’, G.Ya. Popov, V.V. Reut, 2009, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2009, No. 6, pp. 115–123.
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Vorobel’, V.M., Popov, G.Y. & Reut, V.V. Forced vibrations of a boxed shell of square cross-section. Mech. Solids 44, 907–914 (2009). https://doi.org/10.3103/S0025654409060089
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DOI: https://doi.org/10.3103/S0025654409060089