温度场模糊随机有限元法研究

摘要

不确定性广泛存在于工程分析和设计过程中,正确估计不确定参数对温度分布的影响,对工程热设计具有十分重要的意义.以飞机刹车装置为例将模糊随机参数模型引入热传导温度场研究中,使用模糊随机参数模型对温度场不确定性进行描述,对随机性进行泰勒展开,建立方程求解温度响应变化区间.最后给出数值算例,说明模糊随机对温度场的影响,分析了各参数具有不确定性时,温度响应的模糊性与随机性,得到了相应条件下温度场响应,证明了使用模糊随机参数所建立的瞬态温度场模型合理、可行,为工程热设计提供了理论支持.%This paper mainly focused on the temperature with uncertainty parameters. Analysis of uncertainty was done using the fuzzy random parametes model with uncertainty variables. The method was carried out on the stochastic Taylor expansion and the temperature response range was given . By giving an example, the results prove the correctness , rationality and feasibility of the model, which can support thermal design of aircraft brake system theoretically.