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Generalized solution of the problem on a circular membrane loaded by a lumped force

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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.

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References

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526, Russia

    V. V. Vasil’ev & S. A. Lurie

  2. Institute of Applied Mechanics, Russian Academy of Sciences, Leninskii pr. 32A, Moscow, 117334, Russia

    S. A. Lurie

Authors
  1. V. V. Vasil’ev
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  2. S. A. Lurie
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Correspondence to V. V. Vasil’ev.

Additional information

Original Russian Text © V.V. Vasil’ev, S.A. Lurie, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 3, pp. 115–119.

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Vasil’ev, V.V., Lurie, S.A. Generalized solution of the problem on a circular membrane loaded by a lumped force. Mech. Solids 51, 334–338 (2016). https://doi.org/10.3103/S0025654416030109

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  • DOI: https://doi.org/10.3103/S0025654416030109

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