Scattering of SH-wave by multiple circular cavities in half space

In this paper,an analytic method is developed to address steady SH-wave scattering and perform dynamic analysis of multiple circular cavities in half space.The scattered wave function used for scattering of SH-waves by multiple circular cavities,which automatically satisfies the stress-free condition at the horizontal surface,is constructed by applying the symmetry of the SH-wave scattering and the method of multi-polar coordinates system.Applying this scattered wave function and method of moving coordinates,the original problem can be transformed to the problem of SH-wave scattering by multiple circular cavities in the full space.Finally,the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the infinite algebraic equations to the finite ones.Numerical examples are provided for case with two cavities to show the effect of wave number,and the distances between the centers of the cavities and from the centers to the ground surface on the dynamic stress concentration around the cavity impacted by incident steady SH-wave.

THREE-DIMENSIONAL INTERACTIONS OF CIRCULAR CRACK IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC SPACE WITH RESULTANT SOURCES

Exact solutions in form of elementary functions were derived for the stress and electric displacement intensity factors of a circular crack in a transversely isotropic piezoelectric space interacting with various stress and charge sources： force dipoles, electric dipoles, moments, force dilatation and rotation. The circular crack includes penny-shaped crack and external circular crack and the locations and orientations of these resultant sources with respect to the crack are arbitrary. Such stress and charge sources may model defects like vacancies, foreign particles, and dislocations. Numerical results are presented at last.

SCATTERING OF CIRCULAR CAVITY IN RIGHT-ANGLE PLANAR SPACE TO STEADY SH-WAVE

Complex function method and multi-polar coordinate transformation technology are used here to study scattering of circular cavity in right-angle planar space to SH-wave with out-of-plane loading on the horizontal straight boundary. At first, Green function of right-angle planar space which has no circular cavity is constructed; then the scattering solution which satisfies the free stress conditions of the two right-angle boundaries with the circular cavity existing in the space is formulated. Therefore, the total displacement field can be constructed using overlapping principle. An infinite algebraic equations of unknown coefficients existing in the scattering solution field can be gained using multi-polar coordinate and the free stress condition at the boundary of the circular cavity. It can be solved by using limit items in the infinite series which can give a high computation precision. An example is given to illustrate the variations of the tangential stress at the boundary of the circular cavity due to different dimensionless wave numbers, the location of the circular cavity, the loading center and the distributing range of the out-of-plane loading. The results show the efficiency and effectiveness of the mothod introduced here.

Anti-plane (SH) waves diffraction by an underground semi-circular cavity:analytical solution

Diffraction of a two-dimensional （2D） semi-circular cavity in a half-space under incident SH-waves is studied using the classic wave function expansion method with a new de-coupling technique. This so-called ＂improved cosine half- range expansion＂ algorithm exhibits an excellent performance in reducing displacement residual errors at two rim points of concern. The governing equations are developed in a manner that minimizes the residues of the boundary conditions. Detailed derivation and analysis procedures as well as truncation of infinite linear governing equations are presented. The semi-circular cavity model presented in this paper, due to its simple profile, is expected to be used in seismic wave propagation studies as a benchmark for examining the accuracies of various analytical or numerical methods for mixed-boundary wave propagation problems.

A novel x-ray circularly polarized ranging method

Range measurement has found multiple applications in deep space missions. With more and further deep space ex- ploration activities happening now and in the future, the requirement for range measurement has risen. In view of the future ranging requirement, a novel x-ray polarized ranging method based on the circular polarization modulation is proposed, termed as x-ray circularly polarized ranging （XCPolR）. XCPolR utilizes the circular polarization modulation to process x-ray signals and the ranging information is conveyed by the circular polarization states. As the circular polarization states present good stability in space propagation and x-ray detectors have light weight and low power consumption, XCPolR shows great potential in the long-distance range measurement and provides an option for future deep space ranging. In this paper, we present a detailed illustration of XCPolR. Firstly, the structure of the polarized ranging system is described and the signal models in the ranging process are established mathematically. Then, the main factors that affect the ranging accuracy, including the Doppler effect, the differential demodulation, and the correlation error, are analyzed theoretically. Finally, numerical simulation is carded out to evaluate the performance of XCPolR.

Analytical solutions of uniform extended dislocations and tractions over a circular area in anisotropic magnetoelectroelastic bimaterials

In this paper, we derive the analytical solutions in a three-dimensional anisotropic magnetoelectroelastic bimaterial space subject to uniform extended dislocations and tractions within a horizontal circular area. By virtue of the Stroh formalism and Fourier transformation, the final expression of solutions in the physical domain contains only line integrals over [0, 2π] rather than infinite integrals. As the reduced cases, the half-space and homogeneous full-space solutions can be directly derived from the present solutions. Also, in terms of material domains, the present solutions can be reduced to the piezoelectric, piezomagnetic, purely elastic materials with different symmetries of material prop- erty. To carry out numerical calculations, Gauss quadrature is adopted. In the numerical examples, the effect of different loading locations on the response at the interface is analyzed. It is shown that, when the magnetic traction or electric dislocation is applied, the physical quantities on the interface may not decrease monotonically as the loading area moves away from the interface. The distributions of different in-plane physical quantities on the upper and lower interfaces under various extended horizontal loadings are compared and the differences are discussed. The work presented in this paper can serve as benchmarks for future numerical studies in related research fields.

地月历表误差对共线平动点周期轨道的误差影响分析

基于圆形限制性三体问题下地月平动点的3阶轨道解析解,分析不同初值条件下的轨道演化特性,并基于误差传播理论研究地月历表误差对地月共线平动点周期轨道在不同初值及初值误差时的影响。结果表明:1)轨道误差与地月历表误差在同一个量级,当地月历表误差均值不为0时,其峰值大约为地月历表误差的2.5倍,轨道误差随时间变化的无量纲周期约为轨道无量纲周期的0.5倍;2)在同一条轨道的不同位置,地月历表误差影响存在较大差异,平面Lyapunov轨道、Halo轨道和垂直Lyapunov轨道误差的峰值点分别位于或接近X向最大值与最小值处、Z向最大值与最小值处和z=0处。

《八月之光》中“圆形”空间实践与南方探索

小说地理的绘制想象与小说的空间创作有着重要的关联,它能够帮助我们发现文学研究中被掩盖的东西,以及空间是怎样引起故事与小说中的情节的。在“圆形”的空间运动中,“此刻”的“存在”密切联系在一起共同构成了人类对生存意义及价值的探索。在《八月之光》中,福克纳不仅借助克里斯默斯的“圆形”空间实践展现了他对南方和美国种族冲突的戏仿;而且他还借助克里斯默斯在“圆形”空间实践中的内心自我在种族身份认同上的矛盾与冲突,艺术地展现了在20世纪美国国家民族化与一体化的发展与形成的背景下,不同肤色的人种在现实生存空间下的国家民族身份认同的矛盾与冲突。在《八月之光》的创作中,福克纳借助人物的空间移动展现了他对南方问题的探索和对艺术的建构。

柱形障板条件下声矢量圆阵相位模态域目标方位估计

提出了基于横向、纵向和对角排列的声压振速联合处理协方差矩阵构造的相位模态域最小方差无畸变响应(MVDR)目标方位估计方法。该方法利用弹性柱障散射声场模型,根据声矢量圆阵相位模态变换理论,构造声压与不同振速分量的互协方差矩阵,并进行相加、纵向、横向和对角排列得到扩展互协方差矩阵,将扩展互协方差矩阵分解重构后进行MVDR目标方位估计。理论分析与仿真结果表明,纵向排列互协方差矩阵具有更好的方位估计性能,相加互协方差矩阵具有较低的背景谱,对角和横向排列相对纵向排列较差。水池试验和湖试结果进一步验证了纵向排列互协方差矩阵具有较其他3种方法更好的方位估计性能。

基于空间馈电的高功率波束扫描螺旋透射阵列天线设计

传统的透射式空馈阵列存在功率容量低的缺点,不能直接应用于高功率微波领域。现有的高功率空馈阵列布局不够灵活,波束扫描速度较慢,不能充分发挥空馈阵列在系统集成方面的优势。提出并设计了一种新型的采用空间馈电的螺旋辐射单元,并构建了一种透射式空馈螺旋阵列天线,通过控制单个螺旋旋转可以实现二维波束扫描,在设计上更加灵活,可根据实际应用需求调整阵列布局,符合高功率微波天线紧凑化、模块化的发展趋势。仿真设计了包含324个单元的透镜阵列,数值模拟结果表明,单元反射系数S11≤-20 dB,功率容量0.35 MW,阵列口径效率0.68,可在±45°范围内扫描,最大增益下降3 dB。

均匀圆阵特征矢量重构Root-MUSIC快速解相干算法

为解决均匀圆阵(UCA)不能直接运用均匀线阵上性能优良的特征矢量重构算法来进行相干信号波达方向(DOA)估计的问题,该文提出了一种特征矢量重构求根MUSIC算法(MERM).运用Davies模式空间转换法对均匀圆阵进行预处理转换为虚拟均匀线阵(VULA),通过对接收数据矩阵特征值分解提取最大特征矢量,利用最大特征矢量重构协方差矩阵,使均匀圆阵导向矢量具备范德蒙结构,并且降低了预处理后的测向误差影响.最后通过使用求根MUSIC算法估计出相干信号的方位角.MERM算法解相干能力强、测向精度高,并且不需要空间平滑,进而减小了计算量,有较好的算法实时性,仿真实验验证了该算法的可行性.

基于空间距离改进的航线网络级联失效模型

为准确分析航线网络在多种干扰事件影响下的级联失效过程,首先,对以往研究的节点过载、节点状态识别和节点负载-容量关系三个部分进行整合,引入容量参数α、β和过载系数γ,建立一个综合性的航线网络级联失效模型;在此基础上,考虑实际空间距离因素,对传统的全局负载重分配策略进行改进,提出以丧失运输功能的机场为圆心、实际k倍平均航线里程为半径的圆形负载重分配策略。然后,以国内航线网络为例,开展随机、蓄意两种攻击策略下的仿真。结果表明:基于空间距离的负载重分配策略更具有普适性,即传统全局负载重分配策略仅是其中一个特例;同时,航线网络级联失效结果与负载分配半径密切相关,确定合理的负载分配半径,对缓解航线网络级联失效影响有重要意义。

市政道路路线线形设计要点分析

作为城市不可或缺的基础设施,市政道路在保障城市运输及沿线居民正常通行等方面起到了重要作用。为提高市政道路通行的舒适性和安全性,文章从市政道路路线线形设计存在的问题入手,探讨市政道路线形设计原则,包括保证交通安全、工程方案与施工组织相结合等,并结合工程实例,具体分析圆曲线半径、平面交叉间距等市政道路线形设计要点,以期为同类项目提供参考。

带接缝圆形地下连续墙室内模型试验研究

为研究圆形基坑开挖过程中带接缝时圆形地连墙的内力以及变形特征,考虑接缝数量、墙体直径、有无内衬等工况,通过室内模型试验,采用ABAQUS建立三维数值模型,对模型试验中圆形基坑分步开挖时地连墙的受力特点进行了模拟分析。结果表明,存在接缝时,圆形地连墙仍具有空间拱效应,产生的环向压应力明显大于竖向应力;墙体侧向位移值很小,墙后土体沉降值较小,环向应力与环向位移变化规律基本一致,呈现中间大两头小的分布形式;墙体直径对地连墙的空间拱效应影响最大,接缝数量次之,内衬影响最小。

PV型旋风分离器的分离性能改进实验和分析(Ⅰ)——环形空间

针对PV型旋风分离器环形空间存在的顶灰环问题,从实验和流场两个方面探讨了顶灰环产生的机理和形成的条件,同时进行了有关顶灰环对旋风分离器效率影响的分离性能实验。实验结果和流场分析表明,顶灰环产生于旋风分离器环形空间的二次涡流,顶灰环的存在导致了颗粒向内旋流的扩散和逃逸,造成旋风分离器的效率下降,最后提出了抑制顶灰环对旋风分离器分离效率影响的改进方向。

直角域中凸起和孔洞对SH波的散射与地震动

按照波函数展开法和镜像方法,对直角域中半圆形凸起和圆形孔洞对SH波的散射进行了分析,得到其稳态解。对含孔洞和凸起的直角域做分区,等效为一个含孔洞与凹陷的直角域和一个圆域的契合,其在分界面上满足位移和应力的连续性条件,即契合条件,分别构造两个区域内的位移波函数,按照孔洞边界柱面上的应力自由和契合条件定解波函数展开式的系数。按Fourier级数展开法,得到定解条件的线性代数方程组,截断求解,进而得到问题的解析解。数值算例给出圆形孔洞边沿动应力和地表位移幅值的分布情况,得到直角域自由边界、凸起、孔洞对散射和地震动的影响。

基于均匀圆阵模式空间噪声流形的高分辨测向算法

本文提出了一种适合于均匀圆阵的高分辨阵列测向算法，该算法首先将圆阵由阵元空间转化至模式空间，然后通过引入噪声流形阵对最大似然测向算法进行改进，形成了非多维搜索优化的圆阵噪声流形算法．计算机模拟结果显示，该算法不仅计算量小。

大株距行星轮系蔬菜钵苗栽植机构优化设计与试验

设计了一种能适应大株距栽植的行星轮系蔬菜钵苗栽植机构,通过该机构栽植嘴能将蔬菜钵苗植入土中。构建了一种新型的非圆齿轮传动比函数,建立了机构的运动学模型,推导了栽植嘴尖点的(角)位移、(角)速度方程。基于Visual Basic开发了计算机辅助分析与优化软件,分析了非圆齿轮中心距a、角位移系数k1和k2、行星架初始安装角φ0、栽植嘴初始安装角α0、中间齿轮初始安装角γ0以及栽植嘴顶端到行星轮中心的距离S等重要参数对栽植轨迹的影响,通过人机交互方式优化出一组能够满足蔬菜钵苗栽植工作要求的机构参数(a=53 mm、k1=0.23、k2=0.03、φ0=-58°、α0=-144°、γ0=144°、S=175 mm)。根据优化所得参数建立栽植机构的三维模型并进行仿真分析,同时制作了栽植机构的样机进行田间植苗试验。试验了栽植嘴在不同时刻开启和闭合对西兰花钵苗栽植时直立度和成功率的影响,得出栽植嘴在其运动轨迹最低点上方10 mm处张开为最佳开启位置,钵苗直立度优良率达85%,栽植效率可达100株/(min·行),栽植株距达到450 mm,证明该机构适用于蔬菜钵苗的大株距栽植。

亚临界雷诺数下串列三圆柱体绕流特性研究

基于流体计算软件Fluent,本文采用Smagorinsky亚格子模型的大涡模拟(LES)方法,对Re=3900时串列三圆柱体群绕流进行了三维数值模拟。首先,通过求解单圆柱算例来验证计算模型及参数的正确性。然后,分析了间距比对三圆柱体群绕流特性的影响。数值结果表明:随着间距比的增大,剪切层会出现再附着、卷起再附着和无再附着三种形式,同时尾涡第一次卷起位置也会逐渐向上游移动。此外,圆柱体尾流区顺流向时均速度分布由“U”型变为“V”型,横流向时均速度近尾流区分布呈反对称,远尾流区反对称现象会逐渐减弱。在L/D=4.1~4.2范围内,串列三圆柱体群所受的流体力会发生突变。上中游圆柱体平均阻力系数会增大,与双圆柱体工况类似;然而,下游圆柱体会减小。最后,三圆柱体的升力系数主频率值基本一致,并随着间距比的增大而增大。

功能梯度压电圆板轴对称自由振动问题精确解

将功能梯度压电圆板的位移变量和电势变量写为分离变量的形式,由压电动力学平衡方程导出以位移、电势及其一阶导数为状态变量的状态方程,考虑周边固支接地的边界条件,导出了求解功能梯度压电圆板自振频率精确解的方程。将方程退化至一般的非梯度纯弹性圆板的形式,求解其自振频率,得到的结果与相应的理论解完全吻合,从而验证了本文方法的正确性。更进一步地对梯度函数沿板厚以指数形式变化的功能梯度压电圆板的自振频率进行了计算,并得到了梯度化对板自振频率的影响规律。