一种基于Tikhonov正则化的材料导热系数辨识方法  

A method for identifying thermal conductivity of materials based on Tikhonov regularization

作　　者：余鹏 张春云 孙成宝 崔苗[1] YU Peng;ZHANG Chunyun;SUN Chengbao;CUI Miao(State Key Laboratory of Structural Analysis,Optimization and CAE Software for Industrial Equipment,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学工业装备结构分析优化与CAE软件全国重点实验室,辽宁大连116024

出　　处：《大连理工大学学报》2025年第3期255-261,共7页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(12172078).

摘　　要：温度的测量误差对热传导反问题的求解结果有较大影响,因此,结合有限元分析软件Abaqus,将Tikhonov正则化引入辨识热物性参数的传统梯度法,建立了一种基于试件模型表面测点温度辨识材料导热系数的方法.该方法的核心思想是通过Tikhonov正则化减小测点温度测量误差对导热系数最终辨识结果的影响.通过改变导热系数的初始猜测值,以及对测点温度施加随机测量误差,探究了其对辨识的随温度变化的导热系数的影响.最终辨识结果表明,所提方法对于识别温度相关的导热系数是准确和鲁棒的.The measurement error of temperature has a great influence on the solution results of the inverse heat conduction problems.Therefore,combined with the finite element analysis software Abaqus,the Tikhonov regularization is introduced into the traditional gradient method for identifying thermal physical parameters,and a method for identifying the thermal conductivity of materials is established based on the temperature of the measurement points on the surface of the specimen model.The core idea of the method is to reduce the influence of the temperature measurement errors of the measurement points on the final identification results of thermal conductivity through Tikhonov regularization.By changing the initial guess values of thermal conductivity and adding random measurement errors on the temperature of the measurement point,their effects on the identified thermal conductivity as a function of temperature are studied.The final identification results show that the proposed method is accurate and robust for identifying the temperature-dependent thermal conductivity.

关 键 词：导热系数辨识 热传导反问题 TIKHONOV正则化 L曲线准则 

分 类 号：V250.3[一般工业技术—材料科学与工程] V45[航空宇航科学与技术—航空宇航制造工程]