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蚁群算法求解稳态传热反问题
引用本文:王壬晓,王来贵.蚁群算法求解稳态传热反问题[J].辽宁工程技术大学学报(自然科学版),2007(Z2).
作者姓名:王壬晓  王来贵
作者单位:辽宁工程技术大学力学与工程学院,辽宁工程技术大学力学与工程学院 辽宁 阜新 123000,辽宁 阜新 123000
基金项目:国家自然科学基金重点资助项目(504334020),高等学校博士学科点专项科研基金(20040147003),教育厅重大基础研究资助项目(202182055)
摘    要:针对热传导反问题的不适定性和非线性,为了改进热传导反问题的求解方法,考虑了材料非均质的影响,建立了稳态热传导有限元正演模型。根据测量温度信息,将热物性参数和边界条件的单一和组合识别问题归结为一个优化问题,进而利用基于网格划分策略的蚁群算法进行求解。探讨了参数取值范围和数据噪音对识别结果的影响,数值验证取得了令人满意的结果。

关 键 词:有限元  热传导  反问题  蚁群算法

Solving inverse heat conduction problems in steady state with ant colony algorithm
WANG Ren-xiao WANG Lai-gui.Solving inverse heat conduction problems in steady state with ant colony algorithm[J].Journal of Liaoning Technical University (Natural Science Edition),2007(Z2).
Authors:WANG Ren-xiao WANG Lai-gui
Abstract:Aiming at the ill-posedness and nonlinearity of the IHCP,in order to improve the method of solving inverse heat conduction problem in steady state,FE model,taking account of inhomogeneity,is developed for the solution to direct heat conduction problems in steady state.According to the information of measured temperature, the single and combined identifications of thermal parameters and boundary conditions are simply formulated as an optimization problem,and Gridding Partition based Ant colony algorithm is employed to solve inverse heat conduction problems.The effects of data noise and value ranges on solutions are given.Numerical validation exhibits good results.
Keywords:finite element  heat conduction  inverse problem  Ant colony algorithm
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