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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2020 Issue 1(42), Pages 85–90 (Mi pfmt701)

This article is cited in 4 papers

MATHEMATICS

Deformation of a three-layer circular plate under cosine loading in its plane

A. V. Nestsiarovich

Belarusian State University of Transport, Gomel

Abstract: The displacements in a round three-layer plate asymmetric in thickness under non-axisymmetric loading in its plane are investigated. The distributed load, depending on the radial and tangential coordinates, is applied in the median plane of the aggregate. Equilibrium equations are obtained by the variational Lagrange method. The general decision is written out in the Fourier series. The final solution is given for a cosine load. It was numerically tested.

Keywords: three-layer round plate, displacements, axisymmetric tension-compression, cosine load.

UDC: 539.3

Received: 15.01.2020



© Steklov Math. Inst. of RAS, 2026