平面弹性波传递算子反演方法

讨论了弹性水平层状介质中的反演问题,在平面脉冲波激励和反射模式下利用传递算子方法逐层反演了介质的Ｓ－波速度,Ｐ－波速度,Ｌａｍｅ弹性常数μ和厚度,并且进行了数值模拟,这种逐层反演方法简化了方程的阶数和计算量。     

基于弹性波散射对二维障碍物边界的识别

给出了二维障碍物弹性波散射场的一种近似积分形式 ,基于 Fourier变换法建立了均匀障碍物特征函数与其远场散射振幅中形状因子的关系式 ,最后就基体为锌 ,对圆形和椭圆形截面铁夹杂进行了计算机模拟 ,结果表明该反演方法对定量无损检测技术具有应用价值。     

损伤层对弹性波的反射与透射

本文研究了具有随机分布币形裂纹的损伤层对弹性波的反射与透射。分析了低频及裂纹密度不太高时损伤层的损伤状态对反射波与透射波的影响,为定量无损检测技术提供了一个简单的理论模型。     

一种弹性波反演的快速迭代解法

本文研究弹性波反演的数值解法,通过求低频响应值的残差最小和利用有限元及振型分解法计算弹性波正问题的低频响应值,给出了一种弹性波反演的快速迭代解法。该算法允许引入反演参数的约束条件,计算效率很高;尽管一般只能得到弹性波反问题的近似解,但收敛性很好,因此可应用于为其它弹性波反演解法提供较好的初始值。     

周期界面裂纹的弹性波散射问题研究

本文研究了分布于两个关元限空间的周期界面对垂直入射Ｐ波及ＳＨ波的散射问题，文中利用有限Ｆｏｕｒｉｅｒ变换将一个周期带内散射场的边值问题转化为求解一个带周期核的奇异积分方程，并对ＳＨ波入射的情形进行了详细的分析，求解了相应的异积分方程，最后给出裂纹尖端的应力强度因子的计算公式及远离裂纹时散射位移场的渐进形式，并对散场的动态特性进行了数值分析。     

弹性波CT在混凝土靶体冲击损伤实验中的应用

介绍了弹性波CT技术的原理、方法和优点。在弹丸冲击混凝土靶体实验中,应用弹性波CT技术对冲击前后的混凝土靶体进行CT成像分析,并根据成像剖面上冲击前后对应位置的速度对比情况,分析其在弹丸冲击作用下的宏观破坏和内部损伤。CT成像分析结论与实际观测结果有较好的一致性,这表明利用弹性波CT成像能很好地反映混凝土靶体冲击前的结构特征、冲击后的破坏状况和损伤情况。     

弹性动力学反问题的非线性及其迭代反演

分析了弹性动力学反问题的非线性及在迭代反演过程中表现出的复杂非线性现象。迭代反演的结果依赖于反演系统参数和迭代初值,而系统参数对应的Mandelbrot集和迭代初值对应的Julia集都是复杂的分形集。随反演系统状态参数的变化,完全确定性的反演系统却可能产生一系列无规则的,不可预测的迭代输出序列。反演迭代过程中出现的分形和混沌现象反映了表面简单的反演迭代后隐藏的复杂性,正是这种复杂性给迭代系统参数的合理选择带来困难,进而使反演迭代不总能给出满意的结果。     

弹性波传播理论一些问题的研究现状和展望

本文简要地阐述了弹性波传播的一些基本理论,如位移势,表现定理及特征线理论等,并评述了两个领域内的问题。一为无限介质,半无限介质及层状介质中波的传播问题,重点在于地震波传播问题的解法。另一个领域为弹性波的绕射和散射。这一问题在动断裂、无损探伤及地震学中有重要的应用。评迷的重点是解题方法。 对本学科将来的发展也作了展望。认为反问题,随机波理论和在新技术领域中的应用是发展方向。在不少工程领域中的应用将越来越多地不能局限在弹性波范围内     

管道联接件参数识别的行波法

基于结构振动的行波理论,提出了一种管道联接件物理参数识别的新方法.以未充液直管在平面内的弯曲振动为例,建立了入射波和出射波在联接件处的散射关系,并结合波模式幅值系数的识别,得到一组包含待识别参数的非线性方程组.在每一个频率下求解该方程组得到联接件的动刚度,最后采用最小二乘法一次识别得到联接件的物理参数.数值仿真结果表明,行波法在管道联接件参数辨识中,识别精度高,而且采用矩阵条件数小的传感器阵列,可以提高参数辨识的精度.     

Nonlinear inversion of strong scatterer of elastic wave for two parameters in half-space

The inversion of strong scatterer embedded in the half-space is an important problem in engineering and a very difficult nonlinear problem in mathematics, for which the Born iterative method is of no effect. In this paper the moment method is used in the discretization procedure. A numerical approach is presented by employing the regularization technique and DBI (distorted Born iterative) method. The simulation results show that the approach presented is efficient. Project supported by the Research Fund for the Doctoral Program of Higher Education (RFDP: 98048705).     

Abel inversion of axially-symmetric shock wave flows

Finite-fringe interferograms produced for axisymmetric shock wave flows are analyzed by Fourier transform fringe analysis and an Abel inversion method to produce density field data for the validation of numerical models. For the Abel inversion process, we use basis functions to model phase data from axially-symmetric shock wave structure. Steady and unsteady flow problems are studied, and compared with numerical simulations. Good agreement between theoretical and experimental results is obtained when one set of basis functions is used during the inversion process, but the shock front is smeared when another is used. This is because each function in the second set of basis functions is infinitely differentiable, making them poorly-suited to the modelling of a step function as is required in the representation of a shock wave.Received: 12 November 2003, Accepted: 21 October 2004, Published online: 31 March 2005[/PUBLISHED]PACS: 47.40.-x, 42.40.Kw, 02.30.Zz     

The multi-parameter inversion of elastic wave in half-space

The multi-parameter inverse scattering problem of elastic wave equation with single frequency is investigated within Born approximation. By use of a wideband measuring scheme in which both transmitters and receivers scan over the half-space surface, the formula of the scattering field of elastic wave is derived. Four types of mode conversion of elastic wave (P→P,P→S,S→P,S→S) are separated from the scattering field. These components contain sufficient information for us to reconstruct the configurations of the density and Lamé parameters of the medium. The inverse formulas have the form of filtered back-propagation as in the acoustic diffraction tomography. Computer simulations are also obtained. Supported by Foundation of Ph.D Program of the State Education Commission of China.     

Effect of glycerol addition on phase inversion in horizontal dispersed oil-water pipe flows

The effect of interfacial tension on the phase inversion process during horizontal pipe flow of an oil-aqueous solution was investigated. Interfacial tension was varied by adding small amounts of glycerol in the water phase. At these glycerol concentrations the density and viscosity of the aqueous phase changed by 1% or less. Exxsol™ D140 (5.5 mPa s, 828 kg m⁻³) was used as the oil phase. The experiments were carried out in a 38 mm ID acrylic test pipe. The phase continuity and appearance of phase inversion were investigated using conductivity (wire and ring) probes and an Electrical Resistance Tomographic (ERT) system. The ERT also provided diagrams of the phase distribution in a pipe cross section. Drop size distribution was monitored using a dual impedance probe. It was found that starting from a water continuous flow with increasing oil fraction at constant mixture velocity the mixture inverted initially in the middle of the pipe (measured at 19 mm from the top pipe wall) while a higher oil fraction was required for inversion at the top (measured at 4 mm from the top pipe wall) and finally the rest of the pipe. The addition of glycerol did not affect the phase fraction where the initial inversion occurred but caused an increase in the oil fraction needed to complete the inversion. The drop size measurements were used to explain this behaviour. Pressure drop was found to decrease with increasing oil fraction but this trend reversed when inversion spread to the pipe wall and the oil continuous phase came in contact with it.     

Damage detection based on the propagation of longitudinal guided wave in a bimetal composite pipe

This paper investigates the damage detection based on the propagation of guided wave in bimetal composite pipes, which can identify damage locations in both axial and circumferential directions. The feasibility of the method is showed by numerical simulations using FEM code ANSYS. Mode analysis is used to evaluate the guided wave mode and its structure, which can provide the basis of the mode selection in measurements scheme. The guided wave propagation in a damaged pipe is computed by transient analysis. 16 nodes around the pipe wall, as probes, are used to record the guided wave signal. When Pseudo Margenau—Hill distribution (PMHD) for each signal is carried out, three types of modes could be found, which are led mode, excited mode and lag mode in sequences. Based on the results, the arrival time of the excited mode could be used to locate damage in axial direction, and the energy distribution around the pipe of lag mode is consistent with the damage in circumferential direction. The simulation illustrated the possibility of detecting damage location in both axial and circumferential directions based on longitudinal ultrasonic guided waves only.     

基于MEMS加速度计的倒置开关

运用MEMS加速度计MMA8453Q和单片机MSP430设计了一种针对放入式电子测压器的倒置开关。利用加速度计方向检测功能,单片机通过I2C接口读取加速度,判断是否倒置。倒置开关经步进电机多次旋转倒置测试成功率达到100%,并利用霍普金森杆进行了抗过载测试。结果表明,在受到45000g 冲击后仍能正常工作,能满足火炮等高冲击场合的测试要求。     

基于子结构的非线性参数系统动力反演方法研究

研究了输入、输出不完备情况下的非线性参数系统动力反演问题.将子结构技术与分解算法相结合,引入广义逆,无需迭代.直接求得待识别参数的极小范数最小二乘解,反演获得未知输入荷载.本文从理论上论证了该方法的收敛性和严格的适用条件,为有限测点条件下非线性参数系统的动力反演问题提供了一个较好的解决方法.与全量补偿算法相比,计算效率大大提高,具有广泛的工程实际应用前景.数值算例表明该方法具有很好的参数识别精度及荷载反演效果.     

基于POD-RBF代理模型的迭代更新反演方法

针对常规的水工大坝等大型工程结构参数反演需要耗费大量有限元正分析机时的问题,建立了具有较好反演精度和泛化性能的POD-RBF代理模型和快速迭代更新反演算法。基于有限元分析获得足量数据样本,利用POD提取本征向量,并使用RBF方法进行插值得到有限元模型的代理模型;同时结合粒子群算法的全局寻优能力和高斯-牛顿法的快速局部收敛优势,建立了一种新的高效率迭代反演方法,并应用于混凝土大坝分区弹性模量反演。结果表明,该方法适用于大坝等大体积混凝土结构的力学参数反演。同时,相较于传统的单一反演方法,该方法在反演效率和反演精度两方面均显示出优势。     

On the phase inversion process in an oil–water pipe flow

An experimental study of the phase inversion process in an oil–water flow through a pipe was carried out. Special attention was paid to the critical concentration of the dispersed phase at which phase inversion occurs and to the change in morphological structures during inversion. To that purpose two different types of experiments were performed: (1) continuous experiments during which the dispersed phase fraction was gradually increased and (2) direct experiments whereby oil and water were injected simultaneously into the pipe at a certain concentration. During the experiments detailed pictures were taken of the phase inversion process and simultaneously the electrical conductivity of the mixture was measured to determine which liquid formed the continuous phase and which the dispersed phase. Also the pressure gradient over several parts of the pipe was measured.     

Parameters inversion of fluid-saturated porous media based on neural networks

The multi-layers feedforward neural network is used for inversion of material constants of fluid-saturated porous media. The direct analysis of fluid-saturated porous media is carried out with the boundary element method. The dynamic displacement responses obtained from direct analysis for prescribed material parameters constitute the sample sets training neural network. By virtue of the effective L-M training algorithm and the Tikhonov regularization method as well as the GCV method for an appropriate selection of regularization parameter, the inverse mapping from dynamic displacement responses to material constants is performed. Numerical examples demonstrate the validity of the neural network method. Project supported by the National Natural Science Foundation of China (Nos. 19872002 and 10272003) and Climbing Foundation of Northern Jiaotong University.