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用于缺陷定量的超声散射信号去相关分析及贝叶斯反演方法
引用本文:李立,焦敬品,吴斌,何存富.用于缺陷定量的超声散射信号去相关分析及贝叶斯反演方法[J].声学学报,2021,46(2):281-291.
作者姓名:李立  焦敬品  吴斌  何存富
作者单位:北京工业大学 材料与制造学部 北京 100124
基金项目:国家自然科学基金项目(11972053,11772013);中国博士后科学基金项目(2019M660372)资助。
摘    要:针对结构中缺陷定量识别问题,建立了椭圆缺陷超声散射仿真模型,研究了缺陷偏转角度及尺寸对散射信号去相关特性的影响。结果表明,超声信号去相关系数矩阵与缺陷几何状态(如尺寸及角度)存在很大关联性,但并非线性相关。结合参数化有限元分析与贝叶斯理论,发展了一种基于超声散射信号去相关分析的缺陷反演方法,开展了缺陷反演数值仿真及检测实验。结果表明,发展的缺陷反演方法可以很好实现铝块与铝板缺陷位置及尺寸反演。其中铝块开口缺陷尺寸(深度)反演误差约为激励波长0.2倍,位置误差约为激励波长0.6倍;铝板圆形缺陷尺寸反演误差约为激励波长0.04倍,位置误差约为激励波长0.4倍。研究工作为结构中缺陷定量识别与评价做了有益探索。 

关 键 词:缺陷定量    贝叶斯反演方法    超声波检测    超声散射场    去相关分析
收稿时间:2019-09-09

Ultrasonic scattering signal de-correlation analysis and Bayesian inversion method for defect quantification
LI Li,JIAO Jingpin,WU Bin,HE Cunfu.Ultrasonic scattering signal de-correlation analysis and Bayesian inversion method for defect quantification[J].Acta Acustica,2021,46(2):281-291.
Authors:LI Li  JIAO Jingpin  WU Bin  HE Cunfu
Affiliation:Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124
Abstract:Aiming at quantitative identification of defects in structures,the scattering characteristics of defects in structures are studied.The scattering simulation model of elliptic defect is established and the effect of defect deflection angle and size on the de-correlation of scattering signal is studied.The results show that the de-correlation coefficient matrix of ultrasonic signal has a great correlation with the defect geometry state(such as size and angle),but it is not a simple linear correlation.On this basis,combining the parametric finite element analysis and Bayesian theory,a defect inversion method based on ultrasonic scattering signal de-correlation analysis is developed,and the numerical simulation and detection experiments of defect inversion are carried out.The results show that the developed defect inversion method can well realize the inversion of the position and size of defect in aluminum block and plate.The inversion error of the open defect size(depth) of the aluminum block is about 0.2 times of the excitation wavelength,and the position error is about 0.6 times of the excitation wavelength.The inversion error of the circular defect size of aluminum plate is about 0.04 times of the excitation wavelength,and the position error is about 0.4 times of the excitation wavelength.The research work has made a beneficial exploration for the quantitative identification and evaluation of defects in structures.
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