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Spline-approximation solution of problems of the statics of orthotropic shallow shells with variable parameters

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Abstract

An approach to the solution of problems of the statics of shallow orthotropic shells is proposed. It is based on reducing a two-dimensional boundary value problem to a one-dimensional one using the spline-collocation method and solution of the problem by the stable numerical method of discrete orthogonalization. Solutions are presented for problems on the stress state of orthotropic shells of double curvature for several values of the elastic constants of the material.

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Translated from Prikladnaya Mekhanika, Vol. 36, No. 7, pp. 60–66, July, 2000.

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Grigorenko, Y.M., Kryukov, N.N. & Ivanova, Y.I. Spline-approximation solution of problems of the statics of orthotropic shallow shells with variable parameters. Int Appl Mech 36, 888–895 (2000). https://doi.org/10.1007/BF02682297

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