基于共轭梯度法的亚表面缺陷热波散射反问题  

Inverse Problem of Thermal Wave Scattering from Subsurface Defects based on Conjugate Gradient Method

作　　者：马晓波[1] 商一平 MA Xiao-bo;SHANG Yi-ping(School of Mechanical Engineering, Tongji Universit)

机构地区：[1]同济大学机械与能源工程学院

出　　处：《建筑热能通风空调》2017年第12期9-12,79,共5页Building Energy & Environment

基　　金：国家自然科学基金项目(No.51276129)

摘　　要：缺陷识别是红外热波技术定量测量的重要应用。本文基于超短激光脉冲下非傅里叶热传导波动模型的正问题研究,采用共轭梯度算法研究了半无限材料中圆柱绝热缺陷的反问题。即将热波散射正问题计算得到的材料表面温度作为实际测量结果,反演了亚表面缺陷深度,并分析讨论了待反演参数的初始假设值,测温点数目,入射频率等一系列因素对反演结果的影响。数值实验结果证明了该方法的有效性,该方法可在较短的时间内得到比较精确的反演结果。Defect recognition is an important application of quantitative measurement of infrared thermal wave technology. Based on the direct problem of the non-Fourier heat conduction wave model, the inverse problem of cylindrical insulation defects in semi-infinite materials is studied by using the conjugate gradient method. The surface temperature of material is calculated by thermal wave scattering problem is used as the actual measurement results, inverting the subsurface defect depth. A series of effecting factors, such as the initial assumptions of the parameters to be inversed, the number of temperature measurement points and the incident frequency, are studied systematically on the effect on the identification result. Numerical experiments certify the effectiveness of the method and the method can obtain accurate inversion results in a relatively short time.

关 键 词：超短激光脉冲 导热反问题 非傅里叶热传导 共轭梯度法 

分 类 号：TK124[动力工程及工程热物理—工程热物理]