A stochastic analysis of unaxisymmetric thermal stresses in a nonhomogeneous hollow circular plate.
Yoshihiro SUGANO, Junichi Kimoto · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 1991
A stochastic thermal stress problem in a nonhomogeneous hollow circular plate is studied. The circular plate is subjected to unaxisymmetric random heating with respect to time on the inner boundary surface and has nonhomogeneities of thermal conductivity and Young's modulus expressed in forms of different power laws of the radial coordinate, the coefficient of linear thermal expansion given as an arbitrary function of the radial coordinate and constant Poisson's ratio. In this analysis the autocorrelation function and the power spectral density are obtained as statistics of temperature and thermal stress which are stochastic processes depending on time. The analysis is done by applying the solution of the thermal stress problem in a nonhomogeneous hollow circular plate which has been derived by one of the present authors. Numerical calculations of the statistics of tempera-ture and thermal stress are carried out for the case in which the random temperature on the inner boundary surface is a stationary Gaussian process which has Markov property.