摘要
研究了热传导中的诸参数同时为模糊变量和随机变量的混合模型。利用广义密度函数将模糊变量转化为等价随机变量,应用随机变量数字特征的计算式求出了转化后的随机变量的均值和方差,从而原模糊随机温度场问题转换为纯随机温度场问题。利用随机摄动法求解,获得了原模糊随机混合温度场响应的均值和方差。通过算例分析了各个不确定性参数的不确定性对温度场响应的影响,计算结果表明该法的可行性和合理性。
The mixture modeling of fuzzy and random variables in heat transfer was researched. The fuzzy variables were transformed into random variables based on general density function method. The mean values and variance values of transformed random variables were obtained using the formulas for solving random variables＇ numerical characteristics. So the fuzzyrandom temperature field was converted to the pure random temperature field, correspondingly. The mean values and variance values of the random temperature field responses were obtained by employing the conventional stochastic perturbation method. The influence of the uncertainty of each parameter on the structural temperature field responses was analyzed through the example. The results illustrate the proposed method is feasible and reasonable.
出处
《武汉理工大学学报》
CAS
CSCD
北大核心
2009年第15期115-119,144,共6页
Journal of Wuhan University of Technology
基金
国家863高技术研究发展计划项目(2006AA04Z402)
关键词
随机变量
模糊变量
热传导
不确定性
广义密度函数
random variables
fuzzy variables
heat conduction
uncertainty
general density function
