An approach to solving static problems for ring plates with parameters varying in two coordinate directions is proposed. The system of equations and boundary conditions are formulated for displacements, forces, and moments. The two-dimensional boundary-value problem is reduced to one-dimensional one using the spline-collocation method. This problem is solved with the stable numerical method of discrete orthogonalization. The numerical results presented as a table are analyzed.
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Translated from Prikladnaya Mekhanika, Vol. 54, No. 4, pp. 3–8, July–August, 2018.
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Grigorenko, Y.M., Kryukov, N.N. Solution of Boundary-Value Problems of the Theory of Plates with Variable Parameters Using Periodical B-splines. Int Appl Mech 54, 373–377 (2018). https://doi.org/10.1007/s10778-018-0889-8
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DOI: https://doi.org/10.1007/s10778-018-0889-8