ランダムな加熱を受ける不均質板の熱応力解析

抄録

An analytical solution is presented for a stochastic thermal stress problem in a nonhomogeneous flat plate. The flat plate has arbitrary variations in mechanical properties and is subjected to surface temperatures expressed by stochastic functions with respect to time. The analysis leads to exact expressions of the response autocorrelation functions and the response power spectral densities for temperature and stress. The deterministic thermal stress expression in a nonhomogeneous flat plate which has been reported by one of the present authors, is used in this analysis. Numerical calculations are carried out for the case in which the surface temperature is assumed to be a white noise.