用Kirchhoff近似法对杆中球型缺陷的重构  

Reconstruction of Spherical Flaw in Rod by Kirchhoff Approximation

作　　者：吴斌[1] 郑钢丰[1] 何存富[1] 

机构地区：[1]北京工业大学机电学院,北京100022

出　　处：《应用基础与工程科学学报》2007年第1期97-103,共7页Journal of Basic Science and Engineering

基　　金：国家自然科学基金(10272007;10372009);北京市自然科学基金(4052008);北京市教委资助项目

摘　　要：用三维线弹性动力学的反演方法重构了弹性介质中散射体的形状.推导了散射场缺陷表面型积分的表达式.在远场散射幅值的积分表达式中引入了K irchhoff近似,进而用散射幅值的三维逆Fourier变换重构缺陷的形状.给出了杆中球形空穴缺陷几何形状重构的数值结果.A three-dimensional linearized elastodynamic inversion method to reconstruct the shape of scatterer has been investigated in this paper. The surface type of integral representation is formulated for the scattered field. Then Kirchhoff approximation is introduced to the far-field expression of scattering amplitudes in the integral representation. The shape reconstruction of the scatterer is performed by the inverse Fourier transform of the approximated scattering amplitudes. A numerical example is given for the reconstruction of spherical cavity in the rod by the Kirchhoff inversion.

关 键 词：无损检测 弹性动力学 形状重构 Kirehhoff近似 

分 类 号：O347.4[理学—固体力学]