饱和土层中Love波的传播特性

基于Ｂｉｏｔ的液体饱和孔隙介质模型，考虑孔隙流体粘性，导出了弹性半空间上饱和土层中Ｌｏｖｅ波的复频散方程，然后将其转化为两个实方程并利用迭代的方法进行求解。讨论了Ｌｏｖｅ波的波速范围、Ｌｏｖｅ波的频散和衰减特性以及Ｌｏｖｅ波的位移分布。     

地基含倾斜界面时Love波弥散特性

利用有限元法及解析法相结合的方法建立了地基含有倾斜层时Ｌｏｖｅ波弥散特征方程和位移计算公式。利用这一方法研究了该类地基Ｌｏｖｅ波弥散特性，并与水平成层地基（α＝０°）进行比较     

地基含倾斜界面对Love波弥散特性

利用有限元法及解析法相结合的方法建立了地基含有倾斜层时Ｌｏｖｅ波弥散特征方程和位移计算公式，利用这一方法研究了该类地基Ｌｏｖｅ波弥散特性，并与水平成层地基进行比较。     

饱和土中弹性波的传播特性

采用实用修改Ｂｉｏｔ模型，考虑土颗粒和孔隙充体的压缩性，建立了饱和土中弹笥波弥散方程，进而利用数值方法全面探讨了饱和土中两种压缩波涉及一种剪切波的波速和衰减与频率及饱睡土参数的关系，给出了各种波的典型广义弥散曲线和衰减曲线。研究揭示了饱和地中三种体流的传播特性，对于岩土工程波动勘测技术及相关领域具有理论与应用价值。     

Love波变分原理与Love面波法的反演技术

本文从Ｌｏｖｅ波的变分原理出发，导出了非均质地基土参数（如剪切波速度β、质量密度ρ）的微小扰动引起Ｌｏｖｅ波相速度ｃ或波数ｋ的微小变化的解析关系式，进而求得相速度或波数对土层参数（β、ρ）的偏微商．在利用面波法（即ＳＡＳＷ法）反演土层参数时，若以上述偏微商代替以往的割线法［１］［２］计算偏导数迭代矩阵Ａ＿Ｋ，不仅准确，而且可大大减少计算量，节约机时，提高反演速度．文末给出的实例证明了此法的合理性和实用性。     

横观各向同性饱和土体的实用波动方程

假定饱和土体土骨架及渗透系数具有横观各向同性，土颗粒不可压缩，建立了横观各向同性饱和土体实用波动方程，推导出横观各向同性饱和土体平面简谐波的波速弥散方程，结果显示横观各向同性饱和土体存在四个体波，其中一个为ＳＨ波，其余三个当波沿水平面或垂直水平面传播时，才分别是ＳＶ波、Ｐ１波和Ｐ２波。最后，用数值方法分析了ＳＨ波、ＳＶ波、Ｐ１波和Ｐ２波沿水平面和垂直面传播时的波速弥散曲线与特征衰减曲线，以及各个弹性波沿与水平面成４５°方向传播时的波速弥散曲线。     

用Love面波特性计算动力响应的进一步探讨

根据上软下硬地基中Ｌｏｖｅ面波的能流分布规律，提出了利用Ｌｏｖｅ面波的第一模态波模拟水平方向传播波，而竖直方向传播波则采用半无限单元来模拟。通过算例来验证本文方法的可靠性和精确性，并讨论了传统的传递边界法的可靠性，对这两种方法进行了比较。最后讨论了衰减系数φ对计算结果的灵敏性。     

饱和土中爆炸应力波传播特性研究

在饱和土地层中建设了大量的工程项目,由于安全和防卫的需要,这些重要的工程必须考虑爆炸应力波荷载的作用,研究饱和土中爆炸应力波传播特性有着重要的意义.基于应力波传播理论,初步分析了爆炸荷载作用下饱和土介质的变形特性、压缩特性和强度特性;采用有效应力动力分析方法,推导了爆炸应力波在饱和土介质中传播的有效应力运动方程.研究结果可以为饱和土介质中建筑设施的抗爆安全评估提供理论依据.     

各向异性成层地基中Rayleigh波的弥散特性

利用有限单元法及解析法推导了各向异性层地基中Ｒａｙｌｅｉｇｈ面波的弥散特征方程及各模态波位移分布的计算公式，可用于计算上软下硬地基，上硬下软地基及夹层地基Ｒａｙｌｅｉｈｔ面波的弥散曲线及位移分布。本文主要对各向异性上软下硬地基中Ｒａｙｌｅｉｇｈ面波弥散特性及位移分布规律进行了讨论。     

利用瑞利波速度弥散特性反演地基参数

文献[1]利用有限元与半无限元相结合的方法已能精确有效地计算成层地基R波速度的理论弥散曲线.在此基础上,本文利用阻尼最小二乘法推导了R面波法反分析成层地基土的有关参数的公式,给出了应用实测的R波弥散曲线反演土层参数的方法,并编制了相应的计算机程序.最后,通过计算实例验证了本文方法的可靠性和实用性.     

覆盖层为功能梯度材料弹性半平面中的Love波

对均匀各向同性弹性半平面上覆盖一层功能梯度材料中存在的Love波的频散问题进行了研究,给出了Love波频散方程的一般形式。利用WKBJ近似理论,给出了功能梯度材料层的位移、应力近似解析解,导出了Love波WKBJ近似频散方程的一般形式。该文以功能梯度材料层的剪切弹性模量和质量密度沿厚度方向均为指数函数变化为例,进行了实例计算和分析,给出了频散曲线,讨论了Love波在功能梯度材料覆盖层弹性半平面中传播的一般性质。这些结论对无损检测和反问题分析方法的改进提供理论依据。     

Transverse surface waves in an FGM layered structure

The existence and propagation behavior of Love waves in a functionally graded material (FGM) layered structure are theoretically investigated in this paper based on the three-dimensional equations of linear electricity. The Wentzel–Kramers–Brillouin (WKB) method is applied to obtain the analytical solutions in the FGM layer. The dispersion equation for a Love surface wave in this kind of structure is obtained in a simple mathematical form, where the material property variation of the FGM layer is arbitrary. First, the solution is used to study the effect of the gradient coefficients on the dispersion curves and the phase velocities of Love waves. Then, the influence of gradient coefficients on the stress and displacement fields is discussed in detail. The reported results are important in the design of surface acoustic wave (SAW) devices with high performance.     

Transverse surface waves on a piezoelectric material carrying a functionally graded layer of finite thickness

The propagation behavior of transverse surface waves (Love waves) in a piezoelectric half space of polarized ceramics carrying a functionally graded material layer is studied from the three-dimensional equations of linear piezoelectricity. The Wentzel–Kramers–Brillouin (WKB) asymptotic technique is adopted for the theoretical derivations of analytical solutions in the functionally graded layer. The dispersion relations of Love wave in the structure are obtained for both electrically open and shorted cases. Firstly, these solutions are used to study effect of the gradient coefficients on the dispersive relations and phase velocities of Love wave propagation. Then influence of the gradient coefficients on the electromechanical coupling factor is discussed in detail. The results reported are meaningful for the design of surface acoustic wave (SAW) devices with high performance.     

非饱和地基中Love波的传播特性

基于非饱和多孔介质的波动方程,考虑了土中水,气体与土骨架之间的粘性耦合作用,建立了弹性半空间上非饱和土层中Love波的弥散方程。首先分析了饱和度与频率对非饱和孔隙介质中剪切波速的影响。然后运用数值方法得到了不同饱和度下土层中多种Love模态波的弥散特性和位移分布情况,并用图表的形式给出。数值计算结果表明,上覆非饱和土层中Love波的传播速度和衰减系数不仅具有频散性,而且与土层的饱和度有关。在不同饱和度时的高模态(n≥2)的Love波的截止频率值不同。此外,讨论了饱和度对Love波水平位移幅值的影响。     

Love波在电磁弹性多层结构中的频散特性

在电磁弹性多层结构模型的基础上, 通过本构方程和场方程推导出Love 波在电磁弹性介质中的波动方程。利用传递矩阵方法, 给出了一定边界条件下Love 波在该结构中的频散方程。通过对算例进行分析, 得出了Love 波在电磁弹性多层结构中传播的一些特性。      

Love waves propagation in a piezoelectric layered structure with initial stresses

Summary. The propagation behavior of Love waves in a piezoelectric layered structure with inhomogeneous initial stress is studied. Solutions of the mechanical displacement and electrical potential function are obtained for the isotropic elastic layer and transversely isotropic piezoelectric substrate, respectively, by solving the coupled electromechanical field equations. Firstly, effects of the inhomogeneous initial stress on the dispersion relations and phase velocity of Love wave propagation are discussed. Then the influence of the initial stress gradient coefficient on the stress, mechanical displacement and electrical potential distribution in the layer and the substrate is investigated in detail. The results reported in this paper are not only meaningful for the design of surface acoustic wave (SAW) devices with high performance, but also effective for evaluating the residual stress distribution in the layered structures.     

Shear-horizontal surface waves on piezoelectric ceramics with depolarized surface layer

Theoretical analysis and numerical results describing the propagation of SH (shear-horizontal) surface waves on piezoelectric ceramics with a depolarized surface layer are described. SH surface waves propagating in piezoelectric ceramics with a depolarized surface layer are shown to be a mixture of the Bleustein-Gulyaev surface wave, electrical potential, and the Love surface-wave mechanical displacement. Depolarization of the surface layer in piezoelectric ceramics produces strong dispersion and a multimode structure of the SH surface wave. The penetration depth of the SH surface waves propagating on an electrically free surface of a piezoelectric ceramic with a depolarized surface layer can be significantly smaller than that of the Bleustein-Gulyaev surface waves propagating on a free piezoelectric half-space. It is concluded that piezoelectric ceramics with a depolarized surface layer can be used in hybrid piezoelectric semiconductor convolvers of reduced size.     

Mass sensitivity calculation of the protein layer using love wave SAW biosensor

Love waves, a variety of surface acoustic waves (SAWs), can be used to detect very small biological surface interactions and so have a wide range of potential applications. To demonstrate the practicality of a Love wave SAW biosensor, we fabricated a 155-MHz Love wave SAW biosensor and compared it with a commercial surface Plasmon resonance (SPR) using glycerol-water solution with known densities and viscosities to calibrate the response signals of the biosensors. And the mass per unit area of anti-mouse IgG bound with protein G onto the sensitive layer of the biosensor was calculated on the basis of the calibration result. The sensitivity of the Love wave SAW biosensor was the same as or greater than that of the SPR biosensor. Furthermore, the Love wave SAW biosensor was capable of measuring a much wider range of viscosities than the SPR biosensor. Although the operating principle of the Love wave SAW biosensor is completely different from that of the SPR biosensor, the subtle changes in the viscoelastic properties of the biological layer that accompany biological binding reactions on the sensitive layer can be monitored and measured in the same ways as with the SPR biosensor.     

高灵敏Love波传感器及其关键材料

Love波传感器是声表面波传感器的一种,其灵敏度最高.对Love波生物、化学传感器的研究现状进行了综述,着重分析了波导材料及其厚度、基板材料及其切向对传感器的灵敏度及温度稳定性的影响关系.指出采用高频谐振型的器件结构并结合聚合物波导的方案可进一步提高Love波传感器的灵敏度.     

Propagation of TH-waves in a pre-stressed layered formation

In this article we present new results concerning TH-waves propagation in pre-stressed layered materials. Our results generalize, for initial mechanical fields, classical results from seismology concerning Love wave propagation. Here, we obtain and analyze the dispersion relations into a parallel-sided plate, respectively into a layer on a substrate structure for various classes of anisotropy. We derive the energy density and the energy flux distribution for a Love type wave. We obtain and analyze the mean energy density and mean energy flux, respectively, the total mean energy density and total mean energy flux.