A general numerical model was presented for transient heat conduction problem with interval parameters.The eight-point finite element model is given,taking account of in homogeneity and parameters distribution.With interval finite element method based on the element and interval extension theory,the uncertainty of system was separated and the finite element model of the deterministic part and the uncertain part is established.A time stepping scheme was used for transient analysis and the range of temperature field was obtained.Satisfactory numerical validation is given and results show that the proposed numerical model was applied to the problem which shows its effectiveness.%针对具有区间参数的瞬态热传导问题,建立了一种瞬态热传导温度场不确定性分析的求解模式.在空间上,采用八节点等参元技术进行离散,并且考虑了非均质和参数分布的影响.利用基于单元分析的区间有限元法和矩阵摄动理论,将不确定性系统进行分离,分别建立确定性部分和不确定性部分的有限元模型.时间域上,引入时域精细算法进行离散求解,进而得到瞬态温度场响应的区间范围.数值算例取得了满意的结果,结果表明所提求解模式的可行性和有效性.
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