半圆形波导中的电磁场

利用矩形波导和圆形波导的结论,并结合叠加法和镜象法等工具,从理论上分析给出半圆形波导的TE波模型的电磁场分量.根据金属界面的特殊性质,在一定条件下运用叠加法的延拓求出半圆形波导的电磁场分量.最后通过过渡法对一般情况下半圆形波导的电磁场分量进行求解.     

气相爆轰波在半圆形弯管中传播现象的实验研究

对气相(2H2/O2/Ar系统)爆轰波在半圆形弯管中的传播现象进行实验研究。用烟迹膜记录了弯管中爆轰波的胞格结构,采用压电传感器测量了沿弯管内外母线指定点的压力时间曲线,得到了爆轰波沿弯管内、外母线的平均速度和胞格尺寸的变化。结果表明:当平面爆轰波进入弯管后,受壁面的几何形状作用,诱导激波阵面发生弯曲。沿诱导激波阵面,自内母线到外母线方向,激波强度逐渐增大。同时,爆轰波后的化学反应区也受到影响,胞格尺寸发生较明显的变化。在本文条件下,当初压p08.00kPa,受扰动的爆轰波在弯管出口下游仍恢复为强度不变的稳定爆轰。胞格记录的三波点迹线表明:受扰动的爆轰波在出口段发生了马赫反射。实验结果还表明:当p0降至5.33kPa,平面稳定爆轰波经过半圆形弯管后,其强度发生衰减并直至出现熄灭。     

学习因反思而精彩

在高三复习阶段,当我们研究圆周运动的综合问题时,有一位学生在题后反思过程中,进发出了智慧的火花,激活了同学们的思维,让笔者欣喜不已．【例题】如图1所示,滑块在恒定外力作用下从水平轨道上的A点由静止出发到B点时撤去外力,又沿竖直面内的光滑半圆形轨道运动,且恰好通过轨道最高点C,滑块脱离半圆形轨道后又刚好落到原出发点A,试求滑块在AB段运动过程中的加速度．     

金沙江干热河谷自然恢复区植物种群生态位特征

通过实地调查对金沙江干热河谷自然恢复区植物种群的生态位特征进行了分析研究.结果表明:① 18个物种在12个资源位中的重要值变化从75.00%～195.83%,其中扭黄茅的重要值平均值为62.79%,车桑子、独穗飘拂草、虱子草等其他13种植物的重要值都少于4.0%.扭黄茅成为该区的优势种群;②扭黄茅生物生态位宽度最大(0.924),叶下珠、刺芒野古草和孔颖草分别占生态位宽度的17.82%,7.67%和7.40%,其他物种的生态位宽度在0.04～0.29之间,重要值较大的种群,其生态位宽度不一定大;③生态位重叠值大于0.3的有19对物种,占总物种数的12.42%,种群相互之间的生态位重叠程度不高,种群间利用性竞争不强,群落处于演替状态.生态位宽度较大的物种与其他种群间的生态位重叠的机会较大,反之亦小.生态位重叠值为0的物种对较多,说明物种适应生境的方式完全不同.     

关于“半圆形空间刚架振动分析”的讨论

指出献「１」中出现的几处失误，并进行了修正，讨论了半圆形空间刚架弯曲振动频率方程和振形方程的适用范围。     

Seismic responses of a hemispherical alluvial valley to SV waves： a three-dimensional analytical approximation

An analytical solution to the three-dimensional scattering and diffraction of plane SV-waves by a saturated hemispherical alluvial valley in elastic half-space is obtained by using Fourier–Bessel series expansion technique. The hemispherical alluvial valley with saturated soil deposits is simulated with Biot’s dynamic theory for saturated porous media. The following conclusions based on numerical results can be drawn: (1) there are a significant differences in the seismic response simulation between the previous single-phase models and the present two-phase model; (2) the normalized displacements on the free surface of the alluvial valley depend mainly on the incident wave angles, the dimensionless frequency of the incident SV waves and the porosity of sediments; (3) with the increase of the incident angle, the displacement distributions become more complicated; and the displacements on the free surface of the alluvial valley increase as the porosity of sediments increases.The project was supported by the National Natural Science Foundation of China (50478062 and 10532070) and Open Fund at the Key Laboratory of Urban Security and Disaster Engineering (Beijing University of Technology), Chinese Ministry of Education. The English text was polished by Keren Wang.     

剖析一道中考试题的困难成因

一道看似熟悉而又简单的中考题,却成了学生们烫手的山芋.简单而又熟悉的背景,让学生们难舍难弃;千分析万琢磨,题设与结论却难成因果.是什么原因使这道题让考生感到如此困惑,我们不妨共作探讨与分析.     

SH波对浅埋裂纹的半圆形凹陷地形的散射

采用Green函数方法，研究浅埋裂纹和含有圆形凹陷的弹性半空间对入射SH波的散射。首先取含有半圆形凹陷的弹性半空间，任意一点承受时间谐和的出平面线源荷载作用时的位移函数基本解作为Green函数；然后求解含半圆形凹陷的弹性半空间对SH波的散射问题；最后在裂纹实际存在位置利用Green函数实施裂纹的人工切割以恢复存在的裂纹，给出浅埋裂纹的半圆形凹陷弹性空间内的位移函数，进而求解裂纹存在对地表位移的影响。     

Transient analysis of diffusive chemical reactive species for couple stress fluid flow over vertical cylinder

The unsteady natural convective couple stress fluid flow over a semi-infinite vertical cylinder is analyzed for the homogeneous first-order chemical reaction effect. The couple stress fluid flow model introduces the length dependent effect based on the material constant and dynamic viscosity. Also, it introduces the biharmonic operator in the Navier-Stokes equations, which is absent in the case of Newtonian fluids. The solution to the time-dependent non-linear and coupled governing equations is carried out with an unconditionally stable Crank-Nicolson type of numerical schemes. Numerical results for the transient flow variables, the average wall shear stress, the Nusselt number, and the Sherwood number are shown graphically for both generative and destructive reactions. The time to reach the temporal maximum increases as the reaction constant K increases. The average values of the wall shear stress and the heat transfer rate decrease as K increases, while increase with the increase in the Sherwood number.