Dynamic problems of the forced vibrations of tree-layer ellipsoidal shells reinforced with longitudinal ribs under non-stationary surface loading are stated. The basic equations for reinforced three-layer ellipsoidal shell are derived using the Timoshenko model and allowing for geometrical nonlinearity. The vibration equations for these shells are derived from the Hamilton–Ostrogradsky variational principle. A numerical technique for solving these problems is developed. It is based on the integro-interpolation method of construction of difference schemes with respect to the spatial coordinates and explicit finite-difference scheme with respect to the time coordinate. The dynamic processes in reinforced and smooth open clamped three-layer ellipsoidal shells acted upon by uniformly distributed impulsive pressure are studied.
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This study was sponsored from the budgetary program Research and Scientific-and-Technological Activities in the National Academy of Sciences of Ukraine (KPKVK 6541030).
Translated from Prykladna Mekhanika, Vol. 59, No. 3, pp. 42–56, May–June 2023.
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Meish, V.F., Meish, Y.A., Maiborodina, N.V. et al. Deformation of Three-Layer Ellipsoidal Shells Reinforced with Longitudinal Ribs Under Non-Stationary Loading. Int Appl Mech 59, 292–303 (2023). https://doi.org/10.1007/s10778-023-01221-1
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DOI: https://doi.org/10.1007/s10778-023-01221-1