大连理工大学学报2025，Vol.65Issue(3)：255-261,7.DOI:10.7511/dllgxb202503006
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
摘要
Abstract
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Key words
identification of thermal conductivity/inverse heat conduction problem/Tikhonov regularization/L-curve criterion引用本文复制引用
余鹏,张春云,孙成宝,崔苗..一种基于Tikhonov正则化的材料导热系数辨识方法[J].大连理工大学学报,2025,65(3):255-261,7.基金项目
国家自然科学基金资助项目(12172078). （12172078）
