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An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0,1)guided waves

Applied Mathematics and Mechanics(English Edition) 2020年第10期41卷 1479-1492页

作者： Yihui DA Bin WANG D.Z.LIU Zhenghua QIAN State Key Laboratory of Mechanics and Control of Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China School of Engineering University of East AngliaNorwich NR47TJU.K

torsional guided waves have been widely utilized to inspect the surface corrosion in pipelines due to their simple displacement behaviors and the ability of longrange ***,the torsional mode T(0,1),which is the first order of torsional guided waves,plays the irreplaceable position and role,mainly because of its non-dispersion characteristic ***,one of the most pressing challenges faced in modern quality inspection is to detect the surface defects in pipelines with a high level of *** into account this situation,a quantitative reconstruction method using the torsional guided wave T(0,1)is proposed in this *** methodology for defect reconstruction consists of three ***,the reflection coefficients of the guided wave T(0,1)scattered by different sizes of axisymmetric defects are calculated using the developed hybrid finite element method(HFEM).Then,applying the boundary integral equation(BIE)and Born approximation,the Fourier transform of the surface defect profile can be analytically derived as the correlative product of reflection coefficients of the torsional guided wave T(0,1)and the fundamental solution of the intact pipeline in the frequency ***,reconstruction of defects is precisely performed by the inverse Fourier transform of the product in the frequency *** experiments show that the proposed approach is suitable for the detection of surface defects with arbitrary ***,the effects of the depth and width of surface defects on the accuracy of defect reconstruction are *** is noted that the reconstructive error is less than 10%,providing that the defect depth is no more than one half of the pipe thickness.

关键词： torsional guided wave hybrid finite element method(HFEM) boundary integral equation(BIE) quantitative reconstruction

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