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The Basic Stress—Strain State of a Circular Plate of Variable Thickness Based on a Nonclassical Theory

  • Reliability, Strength, and Wear Resistance of Machines and Structures
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Abstract

A mathematical model of the basic stress-strain state of a circular plate with thickness varying asymmetrically under axisymmetric loading is developed. The method of direct asymptotic integration of differential equations of the 3D theory of elasticity is used. A boundary value problem, which is a system of two second- and fourth-order displacement differential equations with variable coefficients and corresponding boundary conditions, is formulated. An example of plate calculation on the Matlab-14 system using the finite difference method is given.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), Moscow, 125993, Russia

    V. V. Firsanov

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  1. V. V. Firsanov
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Correspondence to V. V. Firsanov.

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Firsanov, V.V. The Basic Stress—Strain State of a Circular Plate of Variable Thickness Based on a Nonclassical Theory. J. Mach. Manuf. Reliab. 48, 54–60 (2019). https://doi.org/10.3103/S1052618819010072

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  • DOI: https://doi.org/10.3103/S1052618819010072

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