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Solving the stress problem for solid cylinders with different end conditions
Authors:Ya M Grigorenko  A Ya Grigorenko  L S Rozhok
Institution:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev
Abstract:The paper proposes an approach to solving a spatial stress problem for solid circular cylinders under axisymmetric surface loading. Two types of boundary conditions at the ends are examined: simply supported or clamped. The circumferential variable is separated using Fourier series for the former type of boundary conditions, and spline-approximation in longitudinal coordinate is used for the latter type of boundary conditions. The resulting one-dimensional problems are solved by the stable discrete-orthogonalization method, evaluating indeterminate forms on the cylinder axis in the governing equations. Radial displacements and circumferential and longitudinal stresses are plotted __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 24–31, June 2006.
Keywords:solid circular cylinder  axisymmetric surface loading  simply supported  clamped  spline-approximation  discrete-orthogonalization method  radial displacements  circumferential and longitudinal stresses
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