The problem of the stress–strain state of quadrangular complex-shaped plates is solved. The solutions of the boundary-value problem obtained with two numerical approaches are compared. One approach is based on discrete-continuous methods. In this approach, the system of governing equations is represented in new coordinates based on variations taking into account the plate geometry. Using spline-collocation, the two-dimensional boundary-value problem for the system of partial differential equations is reduced to one-dimensional one, which is solved by the numerical discrete-orthogonalization method. The other (discrete) approach is based on the finite-element method. The results for trapezoidal plates designed with both approaches are compared. The values of the displacements determined agree with high accuracy.
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Translated from Prikladnaya Mekhanika, Vol. 54, No. 6, pp. 94–101, November–December, 2018.
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Grigorenko, A.Y., Pankrat’ev, S.A. & Yaremchenko, S.N. Analysis of the Stress–Strain State of Complex-Shaped Plates. Int Appl Mech 54, 695–701 (2018). https://doi.org/10.1007/s10778-018-0924-9
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DOI: https://doi.org/10.1007/s10778-018-0924-9