斜面型厚度变化板中导波的研究

针对单一模式导波入射的情况，利用混和边界元模型计算了斜面型散射区域的反射系数和透射系数与各种入射模式、入射频率以及斜面倾角变化的关系，研究了在单一模式导波入射时导波与散射体的相互作用。文章的结果可以用来提高大量实际的无损检测工程中的检测灵敏度与能量的穿透能力，尤其是在那些发生了斜面状厚度变化波导中的情形。     

Ultrasonic guided wave scattering in a plate overlap

Guided wave scattering in a plate overlap is investigated by numerical calculations and experimental measurements of transmission and reflection factors from the overlap region. In the numerical study, a hybrid boundary element-finite element method is used to calculate the guided wave scattered field from the overlap region. Transmission and reflection factors are calculated for incident A0 and S0 Lamb and n0 shear horizontal waves, including higher modes generated through mode conversion phenomena. In addition, parametric studies of transmission and reflection factors in this problem are performed numerically over various incident modes, frequencies, and overlap lengths. For verification and comparison with numerical results, experiments were conducted to measure the transmission and reflection factors for incident Lamb and shear horizontal waves in steel plates with two different overlap areas. The experimental results agree well with the numerical calculations. The numerical and experimental results show that it is highly feasible to carry out efficient Lamb wave nondestructive evaluation (NDE) in overlapped plates and in multilayer structures with various lap joints by selecting various modes and tuning frequency.     

Elastodynamic guided wave scattering in infinite plates

The scattering of elastic guided waves by defects in two‐dimensional infinite plates is analysed in the plane and antiplane cases, corresponding, respectively, to Lamb and SH modes. A hybrid boundary element–finite element technique is used, where the defect neighbourhood is discretized with quadratic boundary elements and the radiation condition in the plate is satisfied through a normal mode expansion. A semi‐analytical finite element technique is applied in the infinite plate to calculate its dispersion curves and normal modes. This hybrid technique, which showed excellent performance in the solution of Lamb wave reflection at the edge of semi‐infinite plates, is extended in this paper to a wider range of problems, such as Lamb mode scattering by delaminations and surface defects and SH mode interaction with step discontinuities. Copyright © 2003 John Wiley & Sons, Ltd.     

板材厚度变化对Lamb波透射系数的影响

对Lamb波与厚度变化的板材之间的相互作用进行了分析。针对S0模式Lamb波入射情况,利用混合边界元模型计算了台阶状散射体的透射系数与厚度变化的关系,并进行了实验验证。结果表明S0模式的透射系数能够很好的反映板材的厚度变化,从而为该类材料的定量无损检测提供一定的理论支撑,在实际工业中具有重要的应用意义。     

Ultrasonic Guided Wave NDT for Hidden Corrosion Detection

An experimental study of hidden corrosion detection by using ultrasonic guided waves is presented combined with a BEM numerical simulation. Both corrosion simulation specimens by machine cutting and real corrosion specimens by electrochemical processing were used in the investigation, with a range of corrosion depths from 0.02 to 0.4 mm (1.5 to 20% of the original plate thickness). Various wave modes were subsequently generated on these specimens to examine the implications of thinning on mode cutoff, group velocity, and transmission and reflection amplitudes. The transmission and reflection of guided waves upon entering the corrosion zone were simulated by a hybrid BEM calculation that combines a normal mode expansion technique of Lamb waves for far fields with the boundary element representation for the scattered near fields. A quantitative technique for hidden corrosion depth with guided waves is developed based on a frequency compensation concept. The estimated depth of the real corrosion by this method shows good agreement with that by an optical microscope.     

Numerical simulation of Lamb wave scattering in semi‐infinite plates

A finite element formulation is applied to study Lamb wave scattering in homogeneous and sandwich isotropic plates. Dispersion curves are calculated in a simple and automatic way by solving a quadratic eigenproblem. A meshing criterion to obtain accurate results with linear and quadratic elements is provided. An absorbing boundary condition for semi‐infinite plates is derived from this formulation by means of a truncated normal mode expansion technique, where the finite element eigenvectors are used instead of the analytical expressions for the normal modes. This non‐reflecting boundary condition is directly applicable to study Lamb wave reflection by simple obstacles such as a flat edge. In order to tackle Lamb wave diffraction problems by defects with more complex geometries, a hybrid boundary element‐finite element formulation is developed. The validity and accuracy of both formulations are checked thoroughly with a series of test problems studied by other researchers. Copyright © 2001 John Wiley & Sons, Ltd.     

Lamb Wave Interaction with Delaminations in CFRP Laminates

In this paper, we investigate Lamb wave interaction with delamination in an infinite carbon fiber reinforced plastics (CFRP) laminate by a hybrid method. The infinite CFRP laminate is divided into an exterior zone and an interior zone. In the exterior zone, the wave fields are expressed by wave mode expansion. In the interior zone, the wave fields are modeled by the finite element method (FEM). Considering the continuity condition at the boundary between the exterior and interior zones, the global wave fields can be calculated. Lastly, numerical examples show how a delamination in the laminate influences the mode conversion of different incident wave modes.     

Lamb wave scattering analysis for reflector characterization

The potential use of guided waves for defect characterization is studied. The influence of defect shape and size on transmitted and reflected fields is considered. Using the hybrid boundary element technique, the reflection and transmission coefficients for selected guided wave modes are numerically calculated and compared to experimental data. Selecting the aspect ratio as a shape parameter for various defects, the transmission and reflection coefficients are measured for certain guided wave modes input to the defect. The influence of defect size is then studied by monitoring the transmission and reflection coefficients for defects of various shapes and depths. The studies presented indicate that defect characterization is possible if a proper mode selection criteria can be established. The suitable features related to transmission and reflection coefficient data can also be used for algorithm development and implementation purposes of defect characterization.     

识别薄板中兰姆波和体波的阶梯板方法

斜探头在某些频率下激励出的兰姆波,其群速度与体波的传播速度相近,所以通过判断传播速度不易区分出兰姆波和体波。通过数值模拟和实验,分别研究了激励频率为2 MHz的纵波和S0模态兰姆波在阶梯板上的反射特性,发现:在阶梯板上入射S0模态兰姆波时,有反射回波;而入射纵波时,无反射回波。基于这种反射特性的差别,提出了一种利用阶梯板区别薄板中兰姆波和体波的方法,该方法可用于确认探头的激励特性。     

Numerical and experimental studies on propagation of A0 mode in a composite plate containing semi-infinite delamination: Observation of turning modes

Propagation of the anti-symmetric fundamental Lamb mode (A₀) in a composite laminate containing a semi-infinite delamination was studied through numerical simulations and experimental studies. Here, the wave was generated on a sub-laminate above the delaminated region, and the reflection and transmission of the Lamb modes at the edge of the discontinuity were quantitatively studied. The wave group (named as ‘turning mode’), which was made to propagate from one side of the delamination to the other side (through delaminations) was captured and its transmission factor was estimated. Reflection and transmission factors of wave groups were estimated for three different laminates – quasi-isotropic, unidirectional and cross-ply, containing delamination at various interfaces across thickness. Propagation of ‘turning modes’ were also captured experimentally, employing air-coupled transducers, in quasi-isotropic laminates containing delaminations at different interfaces. Attenuation compensation was incorporated in the experimental signals to improve the comparison of transmission and reflection factors between numerical simulations and experiments.     

Approach to Lamb Wave Lateral Crack Quantification in Elastic Plate Based on Reflection and Transmission Coefficients Surfaces

Ultrasonic guided wave is promising in structure integrity management, but there is still much to learn about it because of its complex mechanism. Defect sizing or quantification is very important for structure inspection using ultrasonic guided waves, and this inverse problem is also very difficult to solve. The work presented in this article aims to resolve the lateral crack quantification problem in the inspection of thin elastic plate using Lamb wave. First, two-dimensional (2D) boundary element method (BEM) simulation was used to study the interaction of one chosen pure mode Lamb wave with lateral crack defect, and this could be defined as the forward problem. Then reflection and transmission coefficients surfaces were built from the results of the numerical simulation. Finally, an approach for lateral crack quantification based on these reflection and transmission coefficients surfaces was proposed. The quantification examples show that the presented approach gives acceptable accuracy. Some limitations of this approach are also discussed.     

Matrix method for two-dimensional waveguide mode solution

In this paper, we show that the transfer matrix theory of multilayer optics can be used to solve the modes of any two-dimensional (2D) waveguide for their effective indices and field distributions. A 2D waveguide, even composed of numerous layers, is essentially a multilayer stack and the transmission through the stack can be analysed using the transfer matrix theory. The result is a transfer matrix with four complex value elements, namely A, B, C and D. The effective index of a guided mode satisfies two conditions: (1) evanescent waves exist simultaneously in the first (cladding) layer and last (substrate) layer, and (2) the complex element D vanishes. For a given mode, the field distribution in the waveguide is the result of a ‘folded’ plane wave. In each layer, there is only propagation and absorption; at each boundary, only reflection and refraction occur, which can be calculated according to the Fresnel equations. As examples, we show that this method can be used to solve modes supported by the multilayer step-index dielectric waveguide, slot waveguide, gradient-index waveguide and various plasmonic waveguides. The results indicate the transfer matrix method is effective for 2D waveguide mode solution in general.     

A lamb wave source based on the resonant cavity of phononic-crystal plates

In this paper, we propose a Lamb wave source that is based on the resonant cavity of a phononic-crystal plate. The phononic-crystal plate is composed of tungsten cylinders that form square lattices in a silicon plate, and the resonant cavity is created by arranging defects inside the periodic structure. The dispersion, transmission, and displacement of Lamb waves are analyzed by the finite-difference time-domain (FDTD) method. The eigenmodes inside the cavities of the phononic-crystal plate are identified as resonant modes. The fundamental and higher order resonant modes, which vary with the length of cavities, are calculated. By exciting the specific resonant mode in an asymmetric cavity, the 232.40 MHz flexural Lamb wave has a magnified amplitude of 78 times larger than the normal one. Thus, the cavity on the tungsten/ silicon phononic-crystal plate may serve as a source element in a microscale acoustic wave device.     

基于谱元法的裂Lamb纹梁波传播特性研究

首次提出用一种无质量弹簧元来模拟含横向裂纹梁的轴弯耦合效应,并结合谱元法分析含裂纹梁内Lamb波的传播特性.由卡氏定理和断裂力学方法推导弹簧元的刚度,以此构建裂纹处的平衡条件和位移协调条件,建立损伤谱元模型.通过和传统的有限元模型进行比较,表明在显著提高计算效率的同时,所提出模型在分析结构固有特性和Lamb波传播特性上都具有较高的精度.在所提出模型的基础上又推导出基于谱元法的能量计算公式,通过裂纹处的能量守恒再次验证损伤模型的正确性和有效性,同时研究结果表明裂纹处转化生成的Lamb 波各模态能量随裂纹深度的变化具有单调性,该结论可以为结构健康监测中定量识别裂纹提供实用依据.     

表面裂纹的激光超声可视化兰姆波检测研究

兰姆波在板材的缺陷检测中具有重要的地位,但兰姆波在裂纹检测过程的可视化实验研究较少。通过激光超声可视化技术,观察了激光激励出的宽频兰姆波在0.4 mm深、0.2 mm宽的裂纹上的反射和透射现象;并利用带通滤波技术,研究了不同中心频率的兰姆波在裂纹上的散射特性。结果发现:兰姆波在裂纹上发生了模态转换现象,出现了传播速度较快的兰姆波模态;并随着兰姆波频率的增加,反射兰姆波的能量增强。该研究为板中裂纹的兰姆波检测提供了实验参考。     

Ultrasonic based method for damage identification in composite materials

We present an ultrasonic-based Lamb wave propagation method for identifying and measuring the damage location in a material as a basis for structural health monitoring (SHM). Lamb waves can propagate in a structure via mode conversion and reflection from the surfaces of the structure, and can lead to interference patterns as a resulting wave vector propagates along the structure. We determined the experimental and analytical effects of various parameters on the sensitivity of damage detection. A methodology is proposed for estimating and measuring the location of damage in test specimens. An experimental setup is used for generating A_o? Lamb waves by calibrating ultrasonic pulse generation for optimal values of parameters. Materials with different damage levels are tested in their undamaged and damaged conditions, and the effects of the parameters on the generated waves in test specimens are observed experimentally.     

冷挤压变壁厚药筒件的超声兰姆波探伤

详细介绍了超声兰姆波的主要特点和多种传播模式,通过对小口径弹药筒壁厚尺寸与缺陷的分析和兰姆波特征曲线的求解,选择合理的药筒兰姆波探伤模式。采用3种标准伤样件验证了药筒管壁内、外表面探伤灵敏度的变化规律,内外表面探伤灵敏度差异,以及探伤灵敏度与标准伤刻痕深度的关系,论证了超声兰姆波单模式探伤的可行性和模式选择。     

基于超声导波检测的角钢型材缺陷特性分析

输电线路铁塔长期暴露在大气环境之中受到腐蚀,会造成角钢型材不同位置出现壁厚减小的情况,严重时可能导致铁塔断裂倒塌.为此,对角钢型材内壁锈蚀情况的检测技术进行探究.首先,对超声兰姆波的传播机理进行分析,确定角钢型材超声兰姆波的检测模态;然后,基于有限元理论对角钢型材进行三维数值建模,通过数值模拟探究了导波在钢材中的传播特...     

基于传递阻抗能量的无基准Lamb波裂纹检测

该文提出了一种获取压电陶瓷(PZT)传感器间Lamb波传递阻抗的方法,以实现对板结构裂纹的无基准快速检测。该方法从两组并排的PZT元件间提取包含Lamb波转换模式的损伤特征信号,对特征信号进行分类并求出其传递阻抗,通过比较传递阻抗的能量差异来判断裂纹是否存在。首先通过有限元仿真研究了裂纹导致的Lamb波模式转换现象以及PZT极化特性对各模式之间相对相位的影响,分析了所提出的方法的可行性;进一步通过在铝板上的实验验证了该方法的有效性。研究表明该文所提出的方法无需选择最优的激励频率和采样时间即可实现对裂纹的快速检测,具有较强的鲁棒性和适用性。     

A slab optical waveguide with negative effective thickness

Two new asymmetric slab optical waveguides with a left-handed media (LHM) cover or substrate are studied. The effective thickness is derived by using normalized waveguide parameters. An analytical method is then proposed to calculate the universal effective thickness. We show that negative effective thickness exists in the waveguide with a LHM substrate, unlike in conventional waveguide or other LHM waveguides studied previously. However, for the waveguide with a LHM substrate, the shape of high-order mode behaves like that of a traditional slab waveguide, and neither the fundamental mode nor the other higher order modes have the novel phenomena of negative effective thickness. Both TE and TM modes are discussed.