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Exact Solution of Some Axisymmetric Problems for Elastic Cylinders of Finite Length Taking Into Account Specific Weight

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The finite Hankel transform is used to find the exact solution of two axisymmetric problems of elasticity for solid and hollow cylinders of finite length taking their specific weight into account. The boundary conditions at the lower end and on the lateral faces of the cylinders are sliding restraint. Axisymmetric normal and tangential forces act on the upper end. The transforms of the displacements and stresses are obtained. The calculated normalized stresses on the outside and inside cylindrical surfaces are plotted for different height ratios

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Authors and Affiliations

  1. I. I. Mechnikov Odessa National University, 2 Dvoryanskaya St, Odessa, Ukraine, 65082

    G. Ya. Popov, Yu. S. Protserov & I. A. Gonchar

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  1. G. Ya. Popov
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  2. Yu. S. Protserov
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  3. I. A. Gonchar
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Correspondence to G. Ya. Popov.

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 4, pp. 31–44, July–August 2015.

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Popov, G.Y., Protserov, Y.S. & Gonchar, I.A. Exact Solution of Some Axisymmetric Problems for Elastic Cylinders of Finite Length Taking Into Account Specific Weight. Int Appl Mech 51, 391–402 (2015). https://doi.org/10.1007/s10778-015-0699-1

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  • DOI: https://doi.org/10.1007/s10778-015-0699-1

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