基于灵敏度的热传导辨识问题求解方法  

SENSITIVITY BASED SOLUTION METHOD FOR PARAMETER IDENTIFICATION OF INVERSE HEAT TRANSFER PROBLEMS

作　　者：顾元宪[1] 周业涛[1] 陈飚松[1] 林巍[1] 

机构地区：[1]大连理工大学

出　　处：《土木工程学报》2002年第3期94-98,共5页China Civil Engineering Journal

基　　金：国家自然科学基金 (1 0 0 32 0 30 ;1 9872 0 1 7);国家重点基础研究专项经费 (G1 9990 32 80 5)资助项目

摘　　要：本文采用灵敏度分析和优化方法求解热传导参数辨识问题。根据测量点已知温度值 ,将测量点的计算温度值与测量温度值之差平方和作为优化问题的目标函数 ,将待识别的热传导参数作为设计变量 ,极小化目标函数得到设计变量最优值就是真实的识别参数值。优化问题采用序列线性规划算法求解 ,基于温度场灵敏度分析构造线性规划问题。数值计算结果表明 ,本文方法求解热传导参数辨识这类反问题的效率和精度很高。Sensitivity based solution method for inverse heat transfer problems is studied in the paper An attempt is made to identify the parameters of inverse heat transfer problems It is based on the known temperature of measure points;the objective function is constructed with the square of differences of measured and computed temperatures The heat transfer parameter is considered as design variables The optimum problem is solved by the sequential linear programming The numerical results show that the proposed method is feasible;it has a good accuracy and efficiency

关 键 词：灵敏度 热传导 参数辨识 反问题 优化 

分 类 号：TK124[动力工程及工程热物理—工程热物理]