大体积混凝土结构温度场的随机有限元算法

Random temperature field of mass concrete structure solved by stochastic finite element method

综合考虑环境因素（如库水温度、气温等）以及混凝土热力学参数的随机性，给出了可以反映材料参数随机性的基于随机场局部平均的温度场随机变分原理和随机有限元列式。为使随机有限元法可以进一步考虑随机过程参数的影响，文中视复频响应函数为随机函数；给出了复频响应函数－随机有限元法。文末算例表明了该方法的正确性和实用性。

Various random factors including environmental factors and concrete thermal parameters are considered. Based on random field local average method, random variational principle and stochastic finite element method formula of random temperature field are derived. In order to calculate the influence of random process parameters,random temperature field is separated into two random fields: (a)random temperature field affected only by environmental random factors ; (b)random temperature field affected only by random hydration heat process. The complex frequency response function is considered as random function and stochastic complex frequency response finite element method is suggested for the random field (a). As for the random field (b),Taylor series expansion is used to simplify nonstationary hydration heat process. Corresponding formulas are presented. It is shown that random process and field parameters can be comprehensively and conveniently taken acount of . Examples compared with Monte-Carlo simulation are given to tertify our methods.