Axisymmetric torsion problem for the finite length multilayered cylinder
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 3
Abstract
The exact solution of the axysimmetric elasticity problem on the torsion of the multilayered massive and hollow cylinder under an influence of the torsion loading at the lateral cylinder’ surface. The layers are in the conditions of the ideal mechanical contact and are difference from each other by the thickness and shear’s module. The lower base is fixed unmovable, the upper one is free from stress. With the Fourier’s finite integral transformation the problem is reduced to the system of the one dimensional boundary problems with the conditions of the layer’s conjugation. The matrix view of the conjugation conditions allows to obtain the comfortable recurrent formulas for the searching of the integration constants of the layers. In comparing with the traditional methods, the proposed method gives opportunity to reduce sufficiently the calculation volume and easy estimate the stress state in each layer. The method is illustrated on the examples of the massive and hollow two layered cylinders.
Authors and Affiliations
Yu. S. Protserov
Keywords
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