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Solving the elastic bending problem for a plate with mixed boundary conditions

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Abstract

The bending problem for an arbitrarily outlined thin plane with mixed boundary conditions is solved. A technique based on the methods of potentials and balancing loads is proposed for constructing Green’s function for the Germain-Lagrange equation. This technique ensures high accuracy of approximate solutions, which is checked against Levi’s solution for rectangular plates

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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 104–112, May 2006.

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Boborykin, V.G. Solving the elastic bending problem for a plate with mixed boundary conditions. Int Appl Mech 42, 582–588 (2006). https://doi.org/10.1007/s10778-006-0124-x

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