Email this article The Basic Stress—Strain State of a Circular Plate of Variable Thickness Based on a Nonclassical Theory
- Authors: Firsanov V.V.1
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Affiliations:
- Moscow Aviation Institute (National Research University)
- Issue: Vol 48, No 1 (2019)
- Pages: 54-60
- Section: Reliability, Strength, and Wear Resistance of Machines and Structures
- URL: https://journals.rcsi.science/1052-6188/article/view/194117
- DOI: https://doi.org/10.3103/S1052618819010072
- ID: 194117
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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.
About the authors
V. V. Firsanov
Moscow Aviation Institute (National Research University)
Author for correspondence.
Email: k-906@mail.ru
Russian Federation, Moscow, 125993
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