| 凝聚函数法求解稳态热传导系数反问题研究 |
| |
| 引用本文： | 阎军,杨海天,李兴斯.凝聚函数法求解稳态热传导系数反问题研究[J].大连理工大学学报,2002,42(4):407-412. |
| |
| 作者姓名： | 阎军 杨海天 李兴斯 |
| |
| 作者单位： | 大连理工大学,工业装备结构分析国家重点实验室,辽宁,大连,116024 |
| |
| 基金项目： | 国家自然科学基金资助项目 (重点项目 10 0 32 0 30 )，教育部重点基金资助项目 ( 9914 9)，归国留学人员启动基金资助项目( 1999-36 3)，教育部骨干教师资助计划资助项目 ( 2 0 0 0 -6 5 )，工业装备结构分析国家重点实验室开放基金资助项目( GZ9814 )，“973 |
| |
| 摘 要： | 将稳态热传导系数识别的反问题归结为一个带有多个不等式约束的非线 性规划问题，并采用改进后的基于极大熵原理的凝聚函数法将此非线性规划问题转化为一个可微的单约束优化问题。在此基础上，采用乘子惩罚函数算法进行求解，给出了数值验证，并探讨了信息误差对反演结果的影响，证明该算法有较好的抗噪性。
|
| 关 键 词： | 凝聚函数法 稳态法传导系数 反问题 非线性规划 极大熵原理 乘子惩罚函数算法 不等式约束 |
| 文章编号： | 1000-8608(2002)04-0407-06 |
Study of aggregate function approach based solution for inverse heat conduction problems in steady state |
| |
| YAN\ Jun,\ YANG\ Hai-tian,LI\ Xing-si.Study of aggregate function approach based solution for inverse heat conduction problems in steady state[J].Journal of Dalian University of Technology,2002,42(4):407-412. |
| |
| Authors: | YAN\ Jun \ YANG\ Hai-tian LI\ Xing-si |
| |
| Abstract: | The inverse heat conductivity problem in steady state is considered as a problem of non-linear programming with multi-constrains of inequality, which can be converted into an optimization with a single differentiable constraint by exploiting a maximum entropy based improved aggregate function method. The optimization with a single constraint is realized using a technique of multiplier penalty functions. Numerical validation gives satisfactory results, and the effect of data noise on the results is investigated, and the algorithm has good performance for noise-resistance. |
| |
| Keywords: | heat conduction non-linear programming aggregate function/inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
