Transient temperature distribution and thermal stresses in a thick plate subjected to random pulses

Abstract

This paper deals with the determination of second-order statistics (the mean of each component and correlations between components) of the quasi-static temperature distribution and thermal stresses on a thick plate under thermal load.  The heated thick circular plate with random internal heat generation acting at random instants of time, in addition to sectional heat supply in the form of random impulses on the upper face, while the lower face is kept at zero temperature, and the fixed circular edge thermally insulated in considered for investigation. A type of Laplace transform method is employed to obtain the analytical solutions for the temperature and stresses statistics. Numerical results demonstrate the effects of the magnitude with the statistics of the temperature and thermal stresses and represented graphically.

Keywords

• Random pulse,temperature,thermal stresses

References

1. Chiba R (2012) Stochastic analysis of heat conduction and thermal stresses in solids. A Review INTECH 243-266
2. Mathews PM, Srinivasan SK (1956) Ordinary linear differential equations involving random functions. Proc. Ind. Acad. Sci. 43:4–20.