変厚中空円板の非軸対称非定常熱応力の解析解

概要

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The determination of thermal stresses in plates with variable thickness, which is applicable to the design of commonly used structural elements such as fins, rotating discs and turbine brades, is presented analytically. A hollow circular plate of variable thickness considered here is subjected to asymmetric heating on the inner boundary and has a decreasing thickness from the inner boundary toward the outer boundary with the radial position. Analytical solutions are given for the transient temperature field in the plate of variable thickness insulated on the upper and lower surfaces and the steady-state temperature field in the same plate with a uniform heat transfer coefficient on both surfaces. The associated plane-stress thermoelastic problem is formulated in terms of a stress function, and the Michell's condition derived before and expressed in cylindrical co-ordinates here is used as an assurance of the single-valuedness of rotation in the plate of variable thickness. Numerical calculations are carried out for the distributions of temperature and thermal stress in the hollow circular plate of variable thickness for the various cases of thickness variation and heat transfer coefficient on the upper and lower surfaces.
社団法人日本機械学会の論文
1987-10-25