| 用于表面温度测量的导热反问题的误差研究 |
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| 引用本文： | 吴洪潭.用于表面温度测量的导热反问题的误差研究[J].宇航计测技术,2002,22(6):18-22. |
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| 作者姓名： | 吴洪潭 |
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| 作者单位： | 中国计量学院,浙江,杭州,310034 |
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| 基金项目： | 中国计量学院自然科学基金 (No .XZ0 10 6 ) |
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| 摘 要： | 讨论了用于温度测量的非稳态一维线性导热反问题。通过引入正则参数 ,这种不适定问题得到了稳定的解。在给出非级数形式的分析解后 ,计算误差可以通过数值解与准确解的比较确定。同时讨论了影响计算误差的各种因素。
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| 关 键 词： | 表面温度 计算误差 反问题 正则参数 温度测量 Subject terms Surface temperature Measurement Calculation error Inverse problem Regularization parameter |
| 文章编号： | 1000-7202(2002)06-0018-05 |
| 修稿时间： | 2002年6月20日 |
Error studies of inverse heat conduction problem for the surface temperature measurement |
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| Wu Hongtan.Error studies of inverse heat conduction problem for the surface temperature measurement[J].Journal of Astronautic Metrology and Measurement,2002,22(6):18-22. |
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| Authors: | Wu Hongtan |
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| Abstract: | A one-dimensional linear inverse heat conduction problem for temperature measurement is presented in the paper. The stabilized solution of the ill-posed problem is obtained with introducing a regularization parameter. On the condition of the derivation of its closed-form analytical solution, the calculation error can be determined by the comparison between the numerical and analytical solutions. Also various factors of affecting the calculation error are discussed. |
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| Keywords: | Subject terms Surface temperature Measurement Calculation error Inverse problem Regularization parameter |
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