Thermal Response Analysis of Stochastic Pole Structures Under Random Transient Temperature Field

The thermal response of stochastic elastic pole structure under random temperature field is researched in this paper. The transient temperature field is solved by using the method of implicit difference and the numerical characteristics of node temperature field in every time step is obtained with Monte-Carlo simulation. The computation expressions of mean and variance of displacement and stress in every time step are derived from finite element method based on random factor with consideration of mechanical loads. An example of cantilever pole analysis shows the change to the mean value and mean-square deviation of displacement and stress of the random variables in transient duration, and the influence of the response dispersion due to the dispersion of the random parameters under both random static load and random thermal load.