径向裂纹圆板的振动与辐射声场

在将裂纹板挠度表示为正交多项式之和的基础上,利用瑞利 里兹方法,求解了周界固定径向裂纹板的低阶振动模态频率及挠度;进而利用瑞利积分,求解了裂纹圆板自由振动辐射声场的轴向声压分布及距板心50cm球面上声场的指向性,并与完整板的辐射声场作了对比.用撞击法测定了裂纹圆板辐射声场的频谱,结果与理论值及有限元法求得的结果基本符合.     

弧向裂纹圆板的振动与辐射声场

目的探究弧向裂纹对薄圆板声振特性的影响规律。方法用瑞利-里兹方法求解弧向裂纹对周界固定薄圆板振动特性的影响。在有限元模态分析的基础上,导出数据,利用离散瑞利积分,求解人工裂纹圆板前五阶模态辐射声场在距离板中心0.5 m的球面上的声场指向性,探究裂纹对辐射声场的影响规律。结果弧向裂纹位于a/2附近时,周界固定裂纹圆板的振动基频随裂纹长度的增加而降低;得到了裂纹圆板低阶模态辐射声场指向性。结论可用于裂纹圆板声振特性研究。     

裂纹悬臂方薄板的振动辐射声场

为研究含穿透裂纹悬臂方板的振动辐射声场，根据有限元模态分析理论，提取了含人工斜向和十字形穿透裂纹的悬臂方薄板各单元的相关物理参数，同时将瑞利积分离散化，进而计算出裂纹悬臂方薄板辐射声场的空间分布，并通过实验测定了含裂纹悬臂方薄板辐射声场的功率谱。结果表明，斜向裂纹越长，二、四、六阶模态的频率降低越多，而一、三、五阶模态频率随斜向裂纹长度的增大表现为先增大再减小的规律；十字裂纹越长，各阶模态的频率降低越多。穿透裂纹的出现不仅使悬臂板的模态频率有明显的变化，而且声场在空间的分布特征也有显著的变化。     

矩形活塞声源辐射声场研究

研究了矩形活塞声源幅射声场的特性.利用瑞利积分,计算了矩形活塞声源幅射声场的声压分布,画出了声压分布图,并分析了辐射声场的指向特性.结果表明,随着活塞尺寸的增加,声场指向性将变得尖锐.这一结论为进一步研究平面型声聚焦阵提供了理论基础.根据惠更斯原理,推出了由m个矩形活塞构成的相位阵的三维声压分布,并指出了辐射声场的指向性.     

纵振-方形声源辐射声场的计算

指向性是描述声源的一个很重要的声性能参数.边界自由条件下,方形薄板没有位移解析解,加之纵振换能器在激励方形辐射板时与板有一定的接触面积,不能视为点接触,这增加了计算纵振一方形辐射声源指向性的难度.本文基于对瑞利积分公式的离散,结合有限元数值计算方法,计算了不同激励面积下方板的指向性.结果 表明:激励面积将影响方板表面节线分布和纵弯系统的共振频率,进而影响辐射声场的指向性.激励面积较小时,声场指向性较差;激励面积不断增大,方板表面节线组成的圆角正方形逐渐减小且系统共振频率增大,声场指向性逐渐尖锐.     

环状活塞换能器辐射声场研究

研究了环状活塞声源辐射声场的特性.利用瑞利积分,计算出了环状活塞声源辐射声场的远场声压分布,画出了声压分布图,并分析了辐射声场的指向特性.结果表明,环带较窄时,旁瓣较大,主瓣较窄;环带较宽时,旁瓣较小,主瓣较宽.讨论了近场情况下轴上的声压分布,为进一步研究同心圆环聚焦阵提供了理论依据.根据惠更斯原理,推出了由m个同心圆环构成的相控阵的三维声压分布,并利用计算机做出了模拟图.     

弹性长方体封闭结构腔声辐射建模与分析

基于Dowell的结构-声耦合理论、瑞利积分和声波透射理论,由各阶声压模态对应的声压振幅响应和各阶板模态对应的速度振幅响应公式推导出了由6块四边简支弹性板构成的封闭矩形腔外的辐射和透射声场解析解.在此基础上论述了声场的物理特性,并指出腔体外的声场主要为辐射声场.为进一步验证结果的正确性,运用有限元法计算腔体内的声模态和弹性板的振动模态及其耦合系数,结合边界元法计算出腔体外的声压响应,并将此数值仿真结果与解析结果进行比较,验证了理论推导的正确性.     

较大孔径薄声透镜声场的瑞利─索末菲衍射公式

本文从波动理论出发，应用惠更斯一菲涅耳原理于声透镜声场描述，把透镜当成一种位相调制器，首次把光学中处理透镜位相调制因子概念引入声透镜声场计算中，作为声透镜对入射波前位相调制的量度，根据瑞利－索末菲衍射理论，导出了薄声透镜声场的积分表达式，并在近轴条件下，采用比非涅耳近似更高阶的近似方法，得到了适用于计算较大孔径薄声透镜声场分布的瑞利一索末菲衍射公式，为这类声透镜的声场分析提供了理论基础。     

球形障板对矢量水听器接收性能的影响

矢量水听器可以同步共点测量声场空间一点处的声压和质点振速的各个分量,因此其被广泛应用于水声测量、探测、通信等领域。矢量水听器在水声测量的应用中会受到安装载体散射声场的影响,而这种载体可以看作为障板,由于障板的存在使散射声场的分布发生改变,以及矢量水听器的接收性能下降。仅以绝对硬边界为例,对球形障板的散射声场进行了理论计算和仿真分析。并且对带障板条件下矢量水听器的接收指向性的变化进行了仿真研究。结果显示,从散射声场分布图可以直观看出声场发生的变化,矢量水听器的接收性能变化与障板的尺寸、与障板距离远近、声波发射频率等因素有关。     

线分布激励下功能梯度材料矩形板声辐射研究

根据Rayleigh公式,建立了预测功能梯度矩形板在无限障板中的声辐射模型并进行了理论研究.求解时,根据功能梯度复合材料矩形板的基本动力方程,首先利用模态叠加法求出线分布激励载荷作用下功能梯度板横向振动位移,然后对振动位移进行傅里叶变换,根据Rayleigh公式求解,最终得到远场声压近似解析解.通过数值仿真计算了不同阻尼、板厚、板宽和梯度指数下功能梯度板的辐射声压.对近场声辐射亦进行了数值积分分析.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with