Email this article Generalized solution of the problem on a circular membrane loaded by a lumped force
- Authors: Vasil’ev V.V.1, Lurie S.A.1,2
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Institute of Applied Mechanics
- Issue: Vol 51, No 3 (2016)
- Pages: 334-338
- Section: Article
- URL: https://journal-vniispk.ru/0025-6544/article/view/162594
- DOI: https://doi.org/10.3103/S0025654416030109
- ID: 162594
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Abstract
The solution of the problem on a circular membrane loaded at the center by a lumped force is a classical example of a singular solution of equations of mathematical physics. In this paper, the problem is solved by using relations of the generalized theory of elasticity, which contain a structural parameter and permit obtaining a regular solution. An experiment for determining the structural parameter in the problem of bending of a membrane is described.
About the authors
V. V. Vasil’ev
Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: vvvas@dol.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526
S. A. Lurie
Ishlinsky Institute for Problems in Mechanics; Institute of Applied Mechanics
Email: vvvas@dol.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526; Leninskii pr. 32A, Moscow, 117334
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