| 同伦优化算法求解稳态传热反演问题 |
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| 引用本文： | 杨海天,薛齐文,杜秀云.同伦优化算法求解稳态传热反演问题[J].应用基础与工程科学学报,2004,12(1):93-100. |
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| 作者姓名： | 杨海天 薛齐文 杜秀云 |
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| 作者单位： | 1. 工业装备结构分析国家重点实验室,大连理工大学工程力学系,辽宁 大连 116023
2. 辽宁师范大学物理系,辽宁大连,116023 |
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| 基金项目： | 教育部骨干教师资助计划(2000-65)，973项目NKBRSF(G1999032805)，教育部重点基金(99149)，重点基金(100320300)，辽宁省中青年学术带头人基金 |
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| 摘 要： | 应用同伦算法求解多宗量稳态热传导反问题，建立了便于敏度分析的有限元正演模型，考虑了非均质和分布参数的影响．可对导热系数、边界条件等进行单个和联合识别．数值验证取得了满意的结果，并对误差作了初步的探讨．
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| 关 键 词： | 同伦优化算法 稳态传热 反问题 热传导 多宗量 有限元 |
| 文章编号： | 1005-0930(2004)-01-0093-08 |
Solving Inverse Heat Conduction Problems in Steady State via Homotopic Optimization Method |
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| YANG Haitian,XUE Qiwen,DU Xiuyun.Solving Inverse Heat Conduction Problems in Steady State via Homotopic Optimization Method[J].Journal of Basic Science and Engineering,2004,12(1):93-100. |
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| Authors: | YANG Haitian XUE Qiwen DU Xiuyun |
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| Abstract: | In this paper homotopic method is used to solve inverse heat conduction problems in the steady state. A FE based model, facilitating to sensitivity analysis, and taking account of inhomogeneity and parameters distribution, is developed for the solution of direct heat conduction problems. Single and combined identifications can be carried out for thermal parameters and boundary conditions etc. Satisfactory numerical validation is given, including a preliminary investigation of effect of noise data on the results |
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| Keywords: | homotopy method inverse problem heat conduction multi-variables identification finite element |
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