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Journal of Engineering Mathematics

, Volume 78, Issue 1, pp 143–166 | Cite as

Equilibrium of an elastic finite cylinder under axisymmetric discontinuous normal loadings

  • V. V. Meleshko
  • Yu. V. TokovyyEmail author
Article

Abstract

This article presents an analytical technique for solving the axisymmetric elasticity problem for a finite solid cylinder subjected to discontinuous normal loadings on its ends and lateral surface. This technique is based on application of the method of crosswise superposition by representing the solution for stresses in the form of decompositions into Fourier and Bessel–Dini series. For determination of the coefficients in these series, the infinite systems of linear algebraic equations are obtained and solved by means of a modified algorithm of advanced reduction. The technique is numerically validated for typical cases of discontinuous loading. It is shown that the solution procedure is efficient for determination of the stresses in the cylinder including its edges and discontinuity points of normal loadings.

Keywords

Axisymmetric problem of elasticity Discontinous normal loading Finite cylinder 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Kiev National Taras Shevchenko UniversityKievUkraine
  2. 2.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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