The statement and the analytical and numerical methods for solving a geometrically nonlinear problem for a long noncircular cylindrical panel compliant to transverse shear under a normal surface load are described. The basic equations are based on the geometrically nonlinear theory of shallow shells in quadratic approximation, the Timoshenko hypothesis, and Hooke’s law for transversally isotropic materials. Analytical expressions for the components of the stress–strain state are obtained for a shell with hinged longitudinal edges, and the limiting values of the generalized geometric parameter are determined. Numerical results are obtained for long open cylindrical shells of elliptical and oval cross-sections under uniform normal pressure.
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This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).
Translated from Prykladna Mekhanika, Vol. 59, No. 6, pp. 41–58, November–December 2023.
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Storozhuk, E.A. Nonlinear Deformation and Stability of Transverse Shear-Compliant Long Cylindrical Panels with Noncircular Cross-Section. Int Appl Mech 59, 666–684 (2023). https://doi.org/10.1007/s10778-024-01250-4
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DOI: https://doi.org/10.1007/s10778-024-01250-4