A refined Timoshenko-type model based on the straight-line hypothesis is used to develop an approach to analyzing the stress state of longitudinally corrugated cylindrical shells with elliptic cross-section. The approach is to reduce the two-dimensional boundary-value problem that describes the stress–strain state of the shell to a one-dimensional one and to solve it with the stable numerical discrete-orthogonalization method. The solutions obtained using the straight-line hypothesis and the equations of three-dimensional elasticity are compared. The dependence of the stress–strain state of the shell on the number and amplitude of corrugations and the aspect ratio of the cross-section is analyzed
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Translated from Prikladnaya Mekhanika, Vol. 48, No. 2, pp. 106–113, March–April 2012.
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Grigorenko, Y.M., Yaremchenko, S.N. Refined design of longitudinally corrugated cylindrical shells. Int Appl Mech 48, 205–212 (2012). https://doi.org/10.1007/s10778-012-0516-z
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DOI: https://doi.org/10.1007/s10778-012-0516-z