International Applied Mechanics

, Volume 51, Issue 4, pp 391–402 | Cite as

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


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


solid and hollow cylinders of finite length specific weight sliding restraint finite Hankel transform 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • G. Ya. Popov
    • 1
  • Yu. S. Protserov
    • 1
  • I. A. Gonchar
    • 1
  1. 1.I. I. Mechnikov Odessa National UniversityOdessaUkraine

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