Solving the stress problem for solid cylinders with different end conditions |
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Authors: | Ya M Grigorenko A Ya Grigorenko L S Rozhok |
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Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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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
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 24–31, June 2006. |
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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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