Abstract: An analysis of the plate temperature field with the random heat transfer coefficient, heat exchange coefficient, heat flux density, environment temperature and heat source is made by the Neumann expansions Monte-Carlo stochastic finite element method. The computing formulas for the mean value and variance and possibility in some interval of node temperature are given. The effect of the amount of variances of random variables on node temperature response is considered by the example. The example in this paper shows that as the number of freedoms of the structure becomes greater, the method proposed has the advantage of high efficiency.

Key words: Neumann expansions, Monte-Carlo method, stochastic finite element method, random temperature field