| 二阶非定常热传导反问题的多宗量辨识 |
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| 引用本文： | 薛齐文,杨海天.二阶非定常热传导反问题的多宗量辨识[J].计算力学学报,2007,24(4):425-429. |
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| 作者姓名： | 薛齐文 杨海天 |
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| 作者单位： | 1. 大连交通大学,交通运输工程学院,大连,116028
2. 大连理工大学,工业装备结构分析国家重点实验室,大连,116023 |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展计划(973计划)
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辽宁省高等学校中青年学科带头人基金
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大连交通大学博士启动基金 |
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| 摘 要： | 引入Bregman距离构造同伦函数,建立了二阶非定常多宗量热传导反问题的一种求解模式,可对导热系数和边界条件等宗量进行识别。时域上采用精细算法,建立了便于敏度分析的有限元正/反演模型,对各宗量进行有效的组合识别。对信息测量误差和初值选取作了初步探讨,数值验证取得了满意的结果。
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| 关 键 词： | 二阶非定常热传导 Bregman距离 同伦算法 精细算法 多宗量 |
| 文章编号： | 1007-4708（2007）04-0425-05 |
| 修稿时间： | 2006-04-21 |
Identification of multi-variables of inverse two-order transient heat conduction problems |
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| XUE Qi-wen,YANG Hai-tian.Identification of multi-variables of inverse two-order transient heat conduction problems[J].Chinese Journal of Computational Mechanics,2007,24(4):425-429. |
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| Authors: | XUE Qi-wen YANG Hai-tian |
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| Institution: | 1. School of Traffic and Transportation, Dalian Jiaotong University, Dalian 116028, China; 2. State Key Laboratory of Industrial Equipment and Structural Analysis, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | This paper presents a general numerical model to identify multi-variables of twoorder transient heat conduction problems and the homotopic method is employed to solve inverse problems based on Bregman D-Function.A time stepping scheme is used for transient analysis and the finite element model is given,facilitating to sensitivity analysis for direct and inverse problems.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 and initial value on the results. |
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| Keywords: | two-order transient heat conduction bregman distances homotopy method precise algorithm multi-variables |
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