| 利用IHCP原理对固体导热系数函数估计的研究 |
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| 引用本文： | 李新禹,林瑞泰.利用IHCP原理对固体导热系数函数估计的研究[J].天津工业大学学报,1999(4). |
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| 作者姓名： | 李新禹 林瑞泰 |
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| 作者单位： | 天津纺织工学院纺织工程系!天津，300160，天津大学!天津，300072 |
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| 基金项目： | 天津市自然科学基金!924001006 |
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| 摘 要： | 本文利用IHCP原理，对固体导热系数k的函数估计进行了研究．文中提出并使用了将温度分布直接转化为导热系数分布的Kirchhoff变换方法，进一步揭示了导热系数k与换热系数h测算敏感度系数的最优化匹配关系，还提出了物体比热Cp及热扩散系数a的参数估计最优化判别式．
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| 关 键 词： | 导热系数 导热逆问题原理 函数估计与参数估计 敏感度系数 |
Estimation of the functions of thermal conductivities for solids by IHCP principle |
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| LI Xin-yu,LIN Rui-tai.Estimation of the functions of thermal conductivities for solids by IHCP principle[J].Journal of Tianjin Polytechnic University,1999(4). |
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| Authors: | LI Xin-yu LIN Rui-tai |
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| Abstract: | The function estimation of the thermal conductivity, k on solids is studied by IHCP principle in this paper. Basing On the recent research results, the parameter estimations of the specific heat at the constant pressure Cp and the thermal diffusivity a are investigated preliminarily. The transposition of the T field to the k field and Kirchhoff transposition are both used in the theory analysis and mathematical treatment successfully. After the analysis of sensitivity coefficients XR.X ,a series of the criterion are obtained in optimization researches. |
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| Keywords: | thermal conductivity inverse heat conduction problem principle estimation of function and parameter sensitivity coefficient |
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