用Excel测试李萨如图形实验得出的新结论

 两个相互垂直的简谐振动,当它们的频率比是简单的整数比时,合成振动的轨迹是稳定的闭合曲线叫做李萨如图形。设有两个互相垂直的简谐振动,分别在x、y轴上运动,它们的简谐振动方程为:x=A1cos(ω1t+(？)1)y=A2cos(ω2t+(？)2)其合成振动的轨迹即李萨如图形的形状由两分振动的频率比、振幅比、初相位决定。     

Lissajous figures in the application of micro-vibration measurement

Based on Michelson interferometer and phase generated carrier (PGC) homodyne demodulation technique, an optical interferometer system is built, and a novel method using the central angles of Lissajous figures to measure micro-vibration displacement is proposed. The Lissajous figures are obtained by synthesizing two interferometric signals that their vibration directions are orthogonal and their intensities are equal. Through theoretical analysis, software simulation and experimental test, it is concluded that the central angles of Lissajous figures have a linear relationship with the phase modulation coefficients and the micro-vibration displacements when the phase modulation coefficients are small. So the micro-vibration displacements can be directly obtained by measuring the central angles of Lissajous figures. The method is simple and convenient. The experimental results indicate that the micro-vibration displacements measuring range can reach 5-775 nm, with a resolution of about 5 nm.     

等离子体中电磁波传输特性理论与实验研究

本文对35 GHz和96 GHz电磁波在等离子体中的传输特性进行了理论与实验研究, 得到了电磁波衰减随等离子体密度、碰撞频率和电磁波频率的变化规律. 等离子体密度增加一个数量级时, 电磁波衰减增加一个数量级; 随着等离子体碰撞频率的增加, 电磁波衰减先增加后减小; 随着电磁波频率的增加, 衰减下降. 以激波管为实验平台进行了电磁波在等离子体中传输特性的实验研究, 实验结果和理论结果吻合较好. 理论和实验结果均表明, 提高电磁波频率是解决黑障问题的有效途径.     

钻具遇卡声波检测理论与实验研究*

石油钻探过程中,钻具经常发生陷入泥沙中不能自由活动进而卡在井下的事故。本文提出使用单发双收声系来检测钻具遇卡的方法,首先使用有限差分模拟了钻具外为自由流体和泥沙两种介质时的钻铤波响应,通过对比远近接收器的钻铤波衰减,发现泥沙卡钻情况下的钻铤波衰减要明显大于自由钻具情况。随后建立了实验模型对理论结果进行了验证。理论模拟与实验结果均表明声波方法可用以检测钻具遇卡事故,从而确定卡钻的深度位置,为解卡钻作业提供解释依据。     

输入方波信号的过阻尼谐振子的随机共振

计算了在输入方波信号情况下过阻尼谐振子的输出功率谱和信噪比,详细讨论了相应的随机共振现象,并与输入余弦信号情况进行对比.研究发现:它们均出现随机共振现象,且均存在共振和抑制并存的现象.但这一并存现象,在两模型中分别出现于不同的共振曲线. 关键词： 过阻尼谐振子 随机共振 方波信号     

Spontaneous magnetization of the Ising model on a layered square lattice

We have studied the Ising model on a layered square lattice with four different coupling constants and two different magnetic moments. The partition function at zero magnetic field is derived exactly. We propose a formula for the spontaneous magnetization which agrees with the exact low-temperature series expansion up to the 16th order and reduces to the exact result of Au-Yang and McCoy in a special case.     

部分浸没圆柱壳声固耦合计算的半解析法研究

部分浸没圆柱壳-流场耦合系统的声振分析是一种典型的半空间域内声固耦合问题,其振动及声学计算目前主要依赖于数值方法求解,但无论从检验数值法还是从机理上揭示其声固耦合特性,解析或半解析方法的发展都是不可或缺的.本文提出了一种半解析方法,先将声场坐标系建立在自由液面上,采用正弦三角级数来满足自由液面上的声压释放边界条件;接着基于二维Flügge薄壳理论建立了以圆柱圆心为坐标原点的壳-液耦合系统的控制方程;然后再利用Galerkin法处理声固耦合界面的速度连续条件,推导得到声压幅值与壳体位移幅值之间的关系矩阵并求解该耦合系统的振动和水下声辐射.与有限元软件Comsol进行了耦合系统自由、受迫振动和水下辐射噪声计算结的对比分析,表明本文方法准确可靠.本文的研究为解析求解弹性结构与声场部分耦合的声振问题提供了新的思路.     

Theoretical and experimental studies of quasi-surface acoustic wave resonators

A theory of quasi-surface acoustic wave devices is developed on the basis of modified coupling-of-mode equations. The results of calculations are compared with experimental data. Quasi-surface acoustic wave resonators are experimentally tested for long-term stability.     

Theoretical analysis of THz Sommerfeld wave propagation on metal wire at normal temperature

In this paper, THz Sommerfeld wave propagation on single bare metal wire and dielectrically coated metal wire waveguide is presented by the numerical calculation from 0.1 THz to 1 THz. The influences of different metal and different dielectric materials on the electric field distribution around the metal wire are analyzed. The characteristics of energy coupling in the coated metal wire with different metal and dimensions are also proposed. The analysis results release a fundamental characteristic for describing the surface wave propagation along the dielectrically coated metal wire at terahertz frequencies, and moreover, the analysis results also suggest that a simple dielectrically coated metal-wire can be used for terahertz applications due to its energy concentration, as compared to the single bare metal wire.     

低温VM制冷机实验研究进展

VM制冷机是一种结构紧凑的热驱动斯特林型制冷机,主要靠工作热源间的温差在系统内产生制冷所需压力波动。通过对系统内部往复运动的排出器设置合适的相位角,VM制冷机可以实现从高温热源和低温热源吸热,向中间热源放热。此外,VM制冷机还具有磨损和振动小、寿命长等优点。到目前为止,气耦合脉冲管型的两级VM制冷机已经能够获得2.49K的无负荷温度,在4.2K可提供36m W制冷量。在总结单级和多级低温VM制冷机的实验进展的基础之上,进一步探讨了低温VM制冷机的应用领域,为低温VM制冷机的发展及实际应用提供了参考。     

计算二维声腔传递矩阵的正方形线声源模型

在比较现有二维矩形声腔的声源计算模型特点的基础上,提出了一种新的正方形线声源计算模型,用于计算基于模态级数叠加法的压力响应函数.分析表明,此模型不仅可以克服点声源模型的奇异性,而且在合理选择模型的几何尺寸的前提下能得到比面源模型更为均匀的压力分布,提高了传递函数计算的准确率.数值试验考察了此模型的实际应用效果,表明新的线声源数学模型较圆形线声源更为简便,可以提高计算效率. 关键词： 传递矩阵 正方形线声源模型 二维声腔 模态级数叠加法