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。      

匀质软夹层地基瑞利波弥散特性

本文利用有限单元法和解析法推导了求上软下硬地基，夹层地基及道路结构瑞利波弥散曲线及位移分布的计算公式，得到了兼有有限单元法计算简单及解析法精度高之优点的计算方法，且编制了相应的计算机程序，并着重讨论了匀质软夹层地基瑞利波的弥散特性。     

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。     

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.     

三峡升船机塔柱结构温度变形计算

本文采用空间线弹性有限单元法对三峡升船机塔柱结构在四种温度作用下的反应进行了计算分析，比较了不同联系方式和不同温度边界对结构变形形态和应力状况的影响，为设计提供了依据。     

基于谱有限元的自由阻尼梁结构损耗因子分析

使用谱有限元分析了自由阻尼梁中扩散波类型及其损耗因子,通过对其特征波形的分析探讨了各个频率下每种波的激励条件,然后使用有限元对自由阻尼长梁做谐响应分析得到各个单元的应变能,根据应变能法计算得到该长梁分别在垂直和水平激励下的结构损耗因子,对结构损耗因子同激励起的波类型之间的关系进行了讨论,最后分析了边界反射对结构损耗因子的影响。研究表明：垂直激励主要激励起最高阶弯曲波或者某些低阶纵波,水平激励主要激励起最高阶纵波;边界反射对结构损耗因子的影响随着梁长增大以及激励点远离边界而变小;不同边界条件的结构损耗因子一般情况下比较接近,但在一些频率点处会存在一定的差异;自由阻尼梁的结构损耗因子主要由激励所能激励起的波类型所决定,在一定程度上受到边界反射影响。     

浸水旋转壳体振动特性的有限条—边界元分析

根据旋转壳体的结构特点,利用有限条法对其进行分析达到降维目的;对流场则提出了一种特殊的边界单元,这种边界元不仅能与结构的有限条单元协调,而且计算量小,精度高;在此基础上,通过凝聚降阶进一步减少流固耦合系统的控制方程。对典型浸水旋转壳的振动频率、模态以及响应作了全面分析,获得了理想的数值分析结果。     

一种基于纵横向有限条带的矩形薄板弯曲单元

本文基子单位宽纵横向有限条带的变位模式,构造了一个１２个自由度的矩形薄板弯曲单元,此单元满足了单元边界Ｃ１连续性,且自由度少,计算精度较高,可用于大型板系结构的计算分析。     

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。     

正交各向异性弹性层/压磁半空间结构中Love波的传播

分析了正交各向异性弹性层/压磁半空间结构中Love波的传播特性,得到了Love波传播时的解析解,基于推导的频散方程,数值分析了正交各向异性层的切割角度对Love波频散关系的影响,结果显示相速度对切割角度有很大的依赖性。     

轮对振动和噪声的分析

以轮轨表面粗糙度为激励,利用车辆-轨道多刚体耦合振动模型计算轮轨作用力.利用有限元理论建立轮对的有限元分析模型,以轮轨作用力为激励进行轮对的振动频响分析.以振动响应分析结果作为边界条件,利用边界元理论建立轮对边界元声学分析模型,对轮对振动声学特性进行了计算分析.其结果与公认的模型和软件的计算结果相比具有较好的一致性,证明本文做法的正确性.     

A boundary condition in Padé series for frequency‐domain solution of wave propagation in unbounded domains

A boundary condition satisfying the radiation condition at infinity is frequently required in the numerical simulation of wave propagation in an unbounded domain. In a frequency domain analysis using finite elements, this boundary condition can be represented by the dynamic stiffness matrix of the unbounded domain defined on its boundary. A method for determining a Padé series of the dynamic stiffness matrix is proposed in this paper. This method starts from the scaled boundary finite‐element equation, which is a system of ordinary differential equations obtained by discretizing the boundary only. The coefficients of the Padé series are obtained directly from the ordinary differential equations, which are not actually solved for the dynamic stiffness matrix. The high rate of convergence of the Padé series with increasing order is demonstrated numerically. This technique is applicable to scalar waves and elastic vector waves propagating in anisotropic unbounded domains of irregular geometry. It can be combined seamlessly with standard finite elements. Copyright © 2006 John Wiley & Sons, Ltd.     

Transient analysis of three-dimensional dynamic interaction between multilayered soil and rigid foundation

The study of dynamic soil-structure interaction is significant to civil engineering applications, such as machine foundation vibration, traffic-induced vibration, and seismic dynamic response. The scaled boundary finite element method (SBFEM) is a semi-analytical algorithm, which is used to solve the dynamic response of a three-dimensional infinite soil. It can automatically satisfy the radiation boundary condition at infinity. Based on the dynamic stiffness matrix equation obtained by the modified SBFEM, a continued fraction algorithm is proposed to solve the dynamic stiffness matrix of layered soil in the frequency-domain. Then, the SBFEM was coupled with the finite element method (FEM) at the interface to solve the dynamic stiffness matrices of the rigid surface/buried foundation. Finally, the mixed-variable algorithm was used to solve the three-dimensional transient dynamic response of the foundation in the time domain. Numerical examples were performed to verify the accuracy of the proposed algorithm in solving the dynamic stiffness matrix of the infinite domain in the frequency domain and the dynamic transient displacement response of the foundation in the time domain. Compared with the previous numerical integration technique, the dynamic stiffness matrix in the frequency domain calculated by using the proposed algorithm has higher accuracy and higher efficiency.     

Three-dimensional structural vibration analysis by the Dual Reciprocity BEM

The dual reciprocity boundary element method (DR/BEM) is employed for the analysis of free and forced vibrations of three-dimensional elastic solids. Use of the elastostatic fundamental solution in the integral formulation of elastodynamics creates an inertial volume integral in addition to the boundary ones. This volume integral is transformed into a surface integral by invoking the reciprocal theorem. A general analytical method is described for the closed form determination of the particular solutions of the displacement and traction tensors corresponding to any radial basis function employed in the transformation process. The simple but effective 1+r radial basis function is used in the applications of this paper. Quadratic continuous and discontinuous 9-noded boundary elements are used in the analysis. Free vibrations are studied by solving the corresponding eigenvalue problem iteratively. Harmonic forced vibration problems are solved directly in the frequency domain. Transient forced vibration problems are solved by integrating the equations of motion stepwise with the aid of various algorithms. Interior collection points are also used for assessing the accuracy of the method. Two numerical examples involving free and forced vibrations of a sphere and a cube are presented in detail.     

时域有限差分法及其在室内声场模拟中的应用

时域有限差分法将声波基本方程表示为一个时间和空间的迭代方程组,实现对室内声场中低频段的模拟计算。在介绍时域肯限差分法基本原理的基础上,着重探讨采用时域有限差分法模拟室内声场时边界条件的处理方法及该方法在室内声场模拟中的应用。分析了该方法存在的一些问题及其应用前景。     

Diffraction and refraction of surface waves using finite and infinite elements

The wave problem is introduced and a derivation of Berkhoff's surface wave theory is outlined. Appropriate boundary conditions are described, for finite and infinite boundaries. These equations are then presented in a variational form, which is used as a basis for finite and infinite elements. The elements are used to solve a wide range of unbounded surface wave problems. Comparisons are given with other methods. It is concluded that infinite elements are a competitive method for the solution of such problems.     

Free and forced vibrations of plates by boundary and interior elements

A direct boundary element method is developed for the dynamic analysis of thin elastic flexural plates of arbitrary planform and boundary conditions. The formulation employs the static fundamental solution of the problem and this creates not only boundary integrals but surface integrals as well owing to the presence of the inertia force. Thus the discretization consists of boundary as well as interior elements. Quadratic isoparametric elements and quadratic isoparametric or constant elements are employed for the boundary and interior discretization, respectively. Both free and forced vibrations are considered. The free vibration problem is reduced to a matrix eigenvalue problem with matrix coefficients independent of frequency. The forced vibration problem is solved with the aid of the Laplace transform with respect to time and this requires a numerical inversion of the transformed solution to obtain the plate dynamic response to arbitrary transient loading. The effect of external viscous or internal viscoelastic damping on the response is also studied. The proposed method is compared against the direct boundary element method in conjunction with the dynamic fundamental solution as well as the finite element method primarily by means of a number of numerical examples. These examples also serve to illustrate the use of the proposed method.     

竖向成层介质中标量波传播问题的高精度人工边界条件

为了实现含竖向成层介质以及表面不规则地形场地中标量波传播问题的高效且高精度求解,该文基于连分式展开和扩展的一致边界,建立了一种频域下折线形高精度人工边界条件。通过在每个竖向地层内引入独立的斜角坐标变换,新的人工边界条件可以用于多起伏地表地形条件。新的折线形人工边界在频域下推导,仅含有连分式阶数一个待定实参数,用于调整计算精度,该参数不随外行波的频率和传播角度改变。人工边界条件可以与内域有限元方程无缝耦合,应用简单方便。由于新边界条件的高精度,内域尺寸可以取较小甚至可以直接将人工边界加在结构周围或者地表,从而极大提高计算效率。通过典型数值算例,将人工边界计算模型与有限元大模型的解进行了对比分析,验证了该文提出的折线形人工边界条件的有效性和高精度。     

硅酸镓镧单晶材料的声表面波标签研究

声表面波射频识别标签在射频标签领域获得广泛关注,其中对标签基底材料的研究也成了研究热点。文章旨在研究使用硅酸镓镧单晶材料为压电基底的声表面波标签的标签特性。对使用硅酸镓镧单晶材料为压电基底的声表面波标签进行频域和时域分析,并结合有限元分析方法,对标签的特征频率、叉指换能器(Interdigital Transducer, IDT)的反射系数、叉指电极金属化比、金属电极厚度以及标签回波特性进行研究分析,提取了耦合模COM(Coupled-mode)模型参数。分析结果表明了压电效应是声表面波的谐振与反谐振频率存在的根源,验证了脉冲幅度编码方式,并为使用硅酸镓镧材料作为压电基底的声表面波标签的制作提供了仿真实验依据。     

Free vibration analysis of anisotropic material structures using the boundary element method

This paper presents a formulation for the analysis of free vibration in anisotropic structures using the boundary element method. The fundamental solution for elastostatic is used and the inertial terms are treated as body forces providing domain integrals. The dual reciprocity boundary element method is used to reduce domain integrals to boundary integrals. Mode shapes and natural frequencies for free vibration of orthotropic structures are obtained and compared with finite element results showing good agreement.