有限积分法与有限差分法在弹性波数值模拟中的对比分析

弹性动力学有限积分法被认为对非均匀介质具有较好的适应性,从而应用于混凝土等不均匀介质的弹性波数值模拟。有限差分法作为目前常用的弹性波数值模拟方法,在计算精度和计算效率方面具有独特优势。对比分析2种不同的数值方法在弹性波数值模拟中的异同点,为数值模拟方法的选取提供参考。从理论上对方法原理进行了对比分析,并设计2种非均匀层状介质模型,对比了其数值模拟结果。结果显示:弹性动力学有限积分法离散公式等价于空间二阶精度的有限差分法;在物性参数不同的弹性介质的分界面上,弹性动力学有限积分法与二阶空间精度的有限差分法数值模拟结果相同;在自由界面上,有限差分法使用声学-弹性介质近似自由地表,比弹性动力学有限积分法更加精确。     

波导截止特性和衰减常数的有限差分分析

文章提出用有限差分法计算波导截止频率、截止波数、衰减常数,推导出用有限差分法计算相关参数的计算公式,编程计算了矩行波导、L型波导和单脊型波导的TE、TM波的截止频率、截止波数及衰减常数,计算结果与解析解非常吻合,证明文章提出的计算方法是正确和可行的。     

固体电枢溶化波烧蚀的一维数值模拟

建立了一维固体电枢溶化波烧蚀计算模型,采用有限差分法计算电磁场的扩散,得到了溶化波烧蚀速度和烧蚀深度的变化特性。数值计算结果表明,暴露于强磁场环境下的烧蚀表面产生较高的磁场梯度,电流密度集中在烧蚀表面,焦耳热的剧增导致电枢发生烧蚀。将伪烧蚀算法应用于有限差分的计算,证实其不相容。计算结果对溶化波烧蚀问题的理论及试验研究有重要的指导作用。     

PML吸收边界条件下TM波的时域有限差分法分析

本文介绍了时域有限差分法的基本原理,通过场区的FDTD公式分析了PML边界及其相关参数设置的要求。最后以自由空间中TM波传播为实例,利用C语言编写了FDTD程序,并对结果进行了详细分析。     

大直径桩扭转波法测试的数值分析

文章采用交错网格有限差分法对大直径桩扭转波法测试进行数值分析,将桩-土系统视为三维线弹性体,建立了轴对称条件下大直径桩瞬态扭转振动模型;根据初边值条件,利用交错网格有限差分法对波动方程进行离散求解,得到了瞬态扭矩作用下的桩顶速度响应,讨论了三维干扰及缺陷响应特点.结果表明:越靠近桩顶中心,桩底反射波与入射波振幅越大;大...     

径向波箔轴承的设计计算和试验研究——(Ⅰ)理论分析

应用圆柱薄壳线性理论给出了波箔单波刚度的计算公式;由弹性体变形理论导出了波箔总刚度的计算公式;根据弹性流体动力润滑的概念,获得了适用于波箔轴承的总体雷诺方程;设定了波箔轴承的边界条件。文中还应用有限差分法对几种不同参数的径向波箔轴承进行了静态性能的计算,得到了压力分布、承载能力、偏位角和摩擦力矩的变化曲线。理论计算与试验结果基本相符。     

地震波初至旅行时计算策略

以波前扩展法为基础,提出了适合强速度纵横向变化的有限差分法地震波初至旅行时外推策略,即在计算时采用二阶精度的有限差分法对程函方程进行了近似计算.在没有出现对负数开平方的情况下只计算三个可能的体波,当出现已知条件不满足或算法不稳定(如对负数开平方)的情况时就计算可能的3个首波和两个散射波,两种情况下都取其最小值作为地震初至旅行时.采用二分法的旅行时查找方法,完成了初至旅行时算法的改进.复杂模型试算结果表明,该方法提高了初至旅行时计算的精度和稳定性.     

旋转长杆弹侵彻混凝土靶应力波传播特性研究

利用动量定理和动量矩定理,建立了旋转长杆弹垂直侵彻混凝土时的运动微分方程,并对此微分方程进行了数值求解,讨论了撞击力和侵彻位移的时程特性。在此基础上,利用波动理论建立了纵波的波动方程和扭转波的波动方程。利用有限差分法对波动方程进行了数值求解,讨论了弹体内部应力波的传播特性,重点研究了初始旋转角速度对长杆弹内应力波传播特性的影响。     

复杂地质体粘滞弹性波正演模拟的有限差分法

运用时空域的二阶中心差分法,由运动微分方程自由边界条件及人工边界上的吸收边界条件,导出了二维非均匀粘滞弹性介质中波传播的二附显示差分格式。该法可以方便且精确地自理自由表面、人工边界及交接层面。实现了在微机上用有限差分法对地震波在传播过程中的波型转换及波形变化的全波场模拟。     

非完整桩扭转振动问题的数值计算

文章提出了非完整桩在瞬态激振力矩作用下扭转振动的数值计算模型,并用有限差分法计算了非完整桩的扭转振动,得到了各种典型缺陷桩对应的理论曲线。定量计算结果表明,桩周土的性质是影响扭转波衰减的一个重要因素;桩周土越软,扭转波衰减越慢,缺陷反射和桩底反射越明显,此时利用扭转波进行基桩完整性检测更有效。     

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     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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Brief Introduction to “Journal of Jilin University( Science Edition) ”

<正>"Journal of Jilin University(Science Edition)"is a comprehensive academic journal in the fields of science sponsored by Jilin University and administrated by the Ministry of Education of the Peoples Republic of China.The journal started publication in 1955.The original name at starting publication was"Journal of Natural Science of Northeast People University",which was changed into"Acta Scientiarum Naturalium Universitatis Jilinensis"in 1958 owing to the name change of the university.The present journal name has