CAJ | 학술논문

为降低3D精确理论散射场求解的复杂性和计算成本，应用Poisson板理论描述面内波模式，给出了S0波在各向同性板中受通孔散射的近似模型。该理论利用波函数展开技术以及孔边缘的边界条件，得到了S0和SH0模式的散射远场。将Poisson板理论与3D精确理论进行比较，两者在低频情况下具有较好的一致性。考察了两个基本导波模式在不同尺寸孔的散射特性，发现它们的散射波幅值在某些散射方向随孔径呈线性变换，该结果为兰姆波无损评价提供了依据。
위강저3D정학이론산사장구해적복잡성화계산성본，응용Poisson판이론묘술면내파모식，급출료S0파재각향동성판중수통공산사적근사모형。해이론이용파함수전개기술이급공변연적변계조건，득도료S0화SH0모식적산사원장。장Poisson판이론여3D정학이론진행비교，량자재저빈정황하구유교호적일치성。고찰료량개기본도파모식재불동척촌공적산사특성，발현타문적산사파폭치재모사산사방향수공경정선성변환，해결과위란모파무손평개제공료의거。
To reduce the complexity and computational cost of solving scattering fields with the exact 3D model, an approximate model of S0 Lamb wave scattering from a through hole in isotropic plates is presented by using Poisson plate theory for describing in-plane wave modes. The model makes use of the wave function expansion technique and the boundary conditions at the edge of hole to obtain the far scattering fields of S0 and SH0 modes. Compared to the exact 3D model, the obtained results of Poisson model show a good agreement with those of the 3D model at low frequency. The scattering characteristics of two fundamental guided wave modes for the holes of different sizes are also explored. It is found that the scattering wave amplitudes at some scattering angles change linearly with the hole diameter, which provides a quantitative basis for Lamb wave non-destructive evaluation.