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- W1671440827 abstract "Abstract We construct a system of piecewise-homogeneous solutions of the asymmetric problem of the theory of elasticity for an infinite cylinder whose surface is partly free of stresses and the remaining part is under the conditions of sliding support. In particular, we obtain the exact solution of the problem of flexure of an infinite cylinder, acted upon by a moment and a force and embedded without friction in a semi-infinite absolutely rigid cylindrical band. The system is used for the solution of four periodic problems regarding the flexure of a cylinder by finite bands and also for the examination of those limiting cases in which the lengths of the adjacent bands or the distances between them are infinitely large. All these problems are reduced to the Poincare-Koch normal systems. In applications, the most important cases are those nonaxisymmetric contact problems for the elastic cylinder in which the interior boundaries of the bands represent surfaces of revolution and the bending of the cylinder is due only to the rotation and relative displacements of the bands (for example, bearings) or to its own weight. In the cylindrical coordinates z , r , φ, the elastic displacements are then decomposed into axisymmetric ones [1] and those proportional to cos Q. The latter case is studied in this paper." @default.
- W1671440827 created "2016-06-24" @default.
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- W1671440827 date "1973-01-01" @default.
- W1671440827 modified "2023-09-27" @default.
- W1671440827 title "On the bending of an elastic cylinder by rigid bands" @default.
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- W1671440827 doi "https://doi.org/10.1016/0021-8928(73)90092-0" @default.
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