20412 空間的にランダムな熱伝達率を有する中空円板の確率論的熱応力解析(材料力学(1))

概要

論文の詳細を見る
The second-order statistics of the temperature and thermal stresses are analytically obtained in an annular disc with spatially random heat transfer coefficients (HTCs) on the upper and lower surfaces. This annular disc is assumed to have arbitrary variations in the HTCs solely in the radial direction and is subjected to deterministic axisymmetrical heating at the lateral surfaces. The stochastic temperature field is analysed by considering the annular disc to be multilayered with spatially constant, but random HTCs in each layer. The Vodicka's method and a perturbation method are employed to obtain the analytical solutions for the statistics. The autocorrelation coefficients of the random HTCs and cross-correlation coefficients between the HTCs on different surfaces are expressed in exponential function forms as a homogeneous random field. Numerical calculations are performed for annular discs similar to an annular fin, which comprise two types of distributions of the means of the HTCs. The effects of the magnitude of the means of HTCs, spatial variations in the means of HTCs and correlation strengths of the HTCs on the standard deviations of the temperature and thermal stresses are discussed.
一般社団法人日本機械学会の論文
2007-03-15