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中文摘要：
针对实际传热问题中存在一些不确定性因素，基于时域精细算法，建立了具有区间参数的双曲传热温度场不确定性分析的一种求解模式。该求解模式在空间上采用八节点等参元技术进行离散，并考虑了非均质和参数分布的影响，在时域上采用了时域精细算法进行离散求解。利用基于单元分析的区间有限元法和矩阵摄动理论，分别建立确定性部分和不确定性部分的有限元分析模型，通过递推关系得到双曲传热不确定性温度响应的区间范围。数值验证给出了满意的结果，表明所提区间求解模式的可行性和有效性。
英文摘要：
Aiming at the uncertainty factors existed in heat conduction, a general numerical model was presented in efforts to analyze the uncertainty in temperature field of hyperbolic heat conduction with interval parameters, based on the time domain precise algorithm. The eight？point finite element model was proposed, taking account of the in？fluence of inhomogeneity and parameters distribution, and the discrete algorithm in the time domain was used for transient analysis. Through the use of the interval finite element method based on the element analysis and interval extension theory, the finite element model of the deterministic part and the uncertain part was established, respec？tively. The intervals range of uncertain temperature response of hyperbolic heat conduction was obtained by recur？sive relation. Satisfactory numerical validation was provided, indicating that the numerical model was applied suc？cessfully to solve the problem, and its feasibility and effectiveness was proved.
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