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基于Minimax目标函数的多宗量稳态热传导反演 被引量：1

Inverse Heat Conduction Based on Minimax Objection Function
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摘要 基于Minimax目标函数,建立了求解稳态热传导反问题优化新模型,并应用BFGS算法进行求解.同时考虑了非均质的影响,对热物性参数和边界条件进行多宗量组合反演,并对信息误差和初值作了初步探讨,数值验证给出了令人满意的结果. A new optimal model is presented for solving inverse heat conduction problems in the steady state based on minimax object function by BFGS method. Identifications are carried out for thermal parameters and boundary conditions with satisfactory numerical validations, and a preliminary investigation of effect of noise data and initial values on the results are given.
作者 薛齐文 杨海天
机构地区 大连交通大学交通运输工程学院 工业装备结构分析国家重点实验室
出处 《大连交通大学学报》 CAS 2007年第1期11-14,共4页 Journal of Dalian Jiaotong University
基金 教育部骨干教师资助计划资助项目 工业装备结构分析国家重点实验室开放基金资助项目(GZ9814) NKBRSF资助项目(G1999032805)
关键词 极大极小 反问题 热传导 多宗量 minimax inverse problem heat conduction multi-variables
分类号 O482.2 [理学—固体物理]
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参考文献6

  • 1TSENG A A , CHEN T C ,ZHAO F Z. Direct sensitivity coefficient method for solving two-dimension inverse heat conduction problems by finite-element scheme[ J]. Numerical Heat Transfer Part B, 1995,27:291-307
  • 2杨海天,胡国俊.共轭梯度法求解多宗量稳态传热反问题[J].应用基础与工程科学学报,2002,10(2):174-181. 被引量：20
  • 3王家映．地球物理反演理论[M]．武汉：中国地质大学出版社，1997．
  • 4LEWIS R W ,MORGAN K, THOMAS H R. The finite element method in heat transfer analysis [M]. UK:JOHN WILEY & SONS, 1996 : 11-29.
  • 5李兴斯.解非线性规划的一个可微“准”精确惩罚函数方法[J].科学通报,1991,36(19):1451-1453. 被引量：85
  • 6TERVOLA P. A method to determination the thermal conductivity from measured temperature profiles [ J ]. Int. J. Heat Transfer, 1989,32(8) : 1425-1430.

二级参考文献18

  • 1刘高典.温度场的数值模拟[M].重庆：重庆大学出版社,1988.1-4.
  • 2Bayo E, Moulin H, Crisalle O,et al. Well-conditoned numerical approach for the solution of the inverse heat conduction problem[J]. Numerical Heat Transfer,Part B,1992,21:79～98
  • 3Carasso A S. Slowly divergent space marching schemes in the inverse conduction problem. Numerical Heat Transfer,Part B,1993,23:111～126
  • 4Hensel E, Hills R. Steady-state two-dimensional inverse heat conduction. Numerical Heat Transfer,Part B,1989,15:227～240
  • 5Tseng A A, Chen T C, Zhao F Z. Direct sensitivity coefficient method for solving two-dimensional inverse heat conduction problems by finite-element scheme. Numerical Heat Transfer Part B,1995,27:291～307
  • 6Lesnic D, Ellioot L, Ingham D B. Application of the boundary element method to inverse heat conduction problems[J]. Int J Heat Mass Transfer ,1996,39(7):1503～1517
  • 7(苏)吉洪诺夫, 阿尔先宁. 不适定问题的解法[M]. 北京:地质出版社,1979.20～31
  • 8Huang Chenghung, Chen Chinwei. A boundary-element-based inverse problem of estimating boundary conditions in an irregular domain with statistical analysis[J]. Numerical Heat Transfer,Part B,1998,33:251～268
  • 9Khachfe R A, Jarny Y. Numerical solution of 2-D nolinear inverse heat conduction problems using finite-element techniques[J]. Numerical Heat Transfer,Part B,2000,37:45～67
  • 10Lewis R W, Morgan K, Thomas H R. The finite element method in heat transfer analysis[M]. UK:JOHN WILEY ＆ SONS,1996.11～29

共引文献103

同被引文献9

  • 1MIVOSLAV R, KEITH A W, KVAL T, et al. Genetic algorithm in solution of inverse heat conduction problem[J]. Numerical Heat Transfer: Part B, 1995, 28:293-306.
  • 2LESNIC D, ELLIOOT L, INGHAM D B. Application of the boundary element method to inverse heat condution problems[J]. Int J Heat Mass Transfer, 1996, 39(7) : 1503-1517.
  • 3PITTOIS S. Direct determination of thermal conductivity of solids and liquids at very low frequencies using the photopyroelectric method[J]. The Japan Society for Analytical Chemistry, 2001,17 : 110-113.
  • 4ZHOU Q B, LU Y K, ZHANG S Y. Two dimensional reconstruction theory of thermal conductivity profiles based on the thermal wave technique[J].Journal of Applied Physics, 2002,92 : 4088-4094.
  • 5KARANICOLAS J, FUS W, POWER J F'. Depth profiling the thermal reflection coefficient of an opaque solid via an inverse thermal wave scattering theory based on the method of images[J]. Applied Physics:B,2000,71:217-223.
  • 6LU Y K, ZHANG S Y, ZHOU Q B. Depth profile of thermal relaxation time[J].Analytical Sciences, 2001, 17:390-393.
  • 7LU Y K, ZHOU Q B, ZHANG S Y. Depth profiling of thermal relaxation time and thermal conductivity related to hyperbolic heating propagation[J].Applied Physics : A, 2001,73 : 193-198.
  • 8何开锋,钱炜祺.利用温度测量结果反演三维热传导问题中热源项的算法研究(英文)[J].实验流体力学,2007,21(4):53-58. 被引量：2
  • 9程文龙,张宏泽,赵锐.基于蒙特卡洛反演的热探针导热系数测量方法[J].中国科学技术大学学报,2008,38(4):414-418. 被引量：13

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大连交通大学学报
2007年 第1期

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