| PRECISE INTEGRAL ALGORITHM BASED SOLUTION FOR TRANSIENT INVERSE HEAT CONDUCTION PROBLEMS WITH MULTI-VARIABLES |
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| 引用本文： | 王一博 杨海天 邬瑞锋. PRECISE INTEGRAL ALGORITHM BASED SOLUTION FOR TRANSIENT INVERSE HEAT CONDUCTION PROBLEMS WITH MULTI-VARIABLES[J]. 应用数学和力学(英文版), 2005, 26(5): 555-562. DOI: 10.1007/BF02466328 |
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| 作者姓名： | 王一博 杨海天 邬瑞锋 |
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| 作者单位： | Department of Engineering Mechanics，Tsinghua University，Beijing 100084，P.R.China，Department of Engineering Mechanics，Dalian University of Technology，Dalian 116024，P.R.China，State Key Lab of Structural Analysis for Industrial Equipment，Dalian University of Technology，Dalian 116024，P.R.China，Department of Engineering Mechanics，Dalian University of Technology，Dalian 116024，P.R.China，State Key Lab of Structural Analysis for Industrial Equipment，Dalian University of Technology，Dalian 116024，P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (Nos.1 0 1 72 0 42and1 0 2 72 0 64)，theNationalBasicResearchProgramofChina ( 973NKBRSF) (No .G1 9990 3 2 80 5)，theKeyProjectFund (No .991 4 9)andBackboneFacultyFund (No .2 0 0 0_65)oftheNationalEdu cationMinis |
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| 摘 要： | IntroductionIHCPs (InverseHeatConductionProblems)arecloselyassociatedwithmanyengineeringaspects,andwelldocumentedintheliteratures,coveringtheidentificationsofthermalparameters[1,2 ],boundaryshapes[3],boundaryconditions[4 ]andsource_relatedterms[5 ,6 ]etc .Howeveritseemsthatonlylittleworkisdirectlyconcernedwithmulti_variablesidentificationsbyauthors’knowledge.Tsengetal.presentedanapproachtodeterminingtwokindsofvariables[7],butonlygavefewnumericalexamplestodeterminethemsimultaneously .Thesol…
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| 关 键 词： | 热传导 有限元 精确积分算法 可逆问题 半解析解 |
| 收稿时间： | 2003-11-11 |
Precise integral algorithm based solution for transient inverse heat conduction problems with multi-variables |
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| Wang Yi-bo,Yang Hai-tian,Wu Rui-feng. Precise integral algorithm based solution for transient inverse heat conduction problems with multi-variables[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(5): 555-562. DOI: 10.1007/BF02466328 |
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| Authors: | Wang Yi-bo Yang Hai-tian Wu Rui-feng |
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| Affiliation: | 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R.China
2. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P.R.China;State Key Lab of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R.China |
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| Abstract: | By modeling direct transient heat conduction problems via finite element method (FEM) and precise integral algorithm, a new approach is presented to solve transient inverse heat conduction problems with multi-variables. Firstly, the spatial space and temporal domain are discretized by FEM and precise integral algorithm respectively. Then, the high accuracy semi-analytical solution of direct problem can be got. Finally, based on the solution, the computing model of inverse problem and expression of sensitivity analysis are established. Single variable and variables combined identifications including thermal parameters, boundary conditions and source-related terms etc. are given to validate the approach proposed in 1-D and 2-D cases. The effects of noise data and initial guess on the results are investigated. The numerical examples show the effectiveness of this approach. |
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| Keywords: | heat conduction inverse problem multi-variables precise integral algorithm finite element |
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