谐振管谐振频率计算方法的研究

为了准确地计算声谐振管的谐振频率,提出了基于对管内声压分布进行理论模拟的声压模拟法,以及基于驻波最小点位置与管两端声阻抗关系的驻波最小点法。结果表明这两种方法因为考虑了声谐振管两端的声阻对谐振频率的影响,所得谐振频率更加精确、严格,所以特别适用于要求谐振管的谐振频率严格控制的声学领域。同时表明:声压模拟法与驻波最小点法虽然出发点不同,但谐振频率的计算结果完全相同。驻波最小点法计算比较方便,而声压模拟法在计算出谐振频率的同时,还可以给出管中的声压随位置的分布情况。     

声驻波场中空化泡的动力学特性

以水为工作介质, 考虑了液体的可压缩性, 研究了驻波声场中空化泡的运动特性, 模拟了驻波场中各位置处空化泡的运动状态以及相关参数对各位置处空化泡在主Bjerknes力作用下运动方向的影响. 结果表明: 驻波声场中, 空化泡的运动状态分为三个区域, 即在声压波腹附近空化泡做稳态空化, 在偏离波腹处空化泡做瞬态空化, 在声压波节附近, 空化泡在主Bjerknes 力作用下, 一直向声压波节处移动, 显示不发生空化现象; 驻波场中声压幅值增加有利于空化的发生, 但声压幅值增加到一定上限时, 压力波腹区域将排斥空化泡, 并驱赶空化泡向压力波节移动, 不利于空化现象的发生; 当声频率小于初始空化泡的共振频率时, 声频率越高, 由于主Bjerknes 力的作用将有更多的空化泡向声压波节移动, 不利于空化的发生, 尤其是驻波场液面的高度不应是声波波长的1/4; 当声频率一定时, 空化泡初始半径越大越有利于空化现象的发生, 但当空化泡的初始半径超过声频率的共振半径时, 由于主Bjerknes力的作用将有更多的空化泡向声压波节移动, 不利于空化的发生.     

基于气泵的声管实验及分析

为研究声管的发声频率，进行了实验设计和分析.声管转动发声是由于空气在声管中的流动，考虑实际的实验条件，设计了气泵吹气代替声管转动的实验方式，改变吹气速率并测量发声频率.通过对实验结果的分析发现，此时的声管不符合两端开口即两端为波腹的条件，而是一端波节、一端波腹.声管的发声频率取决于其长度，符合驻波特性，发声时吹气速率与波纹长度须满足共振条件.研究结果有助于对驻波的理解和相关内容的实验设计.     

谐振管内非线性驻波的有限体积数值算法

为了扩展谐振管内非线性驻波在工程中的应用, 以及克服现有数值计算方法仅局限于求解直圆柱形和指数形谐振管内非线性驻波的问题. 根据变截面的非稳态可压缩热黏性流体Navier-Stokes方程和空间守恒方程, 并基于求解压力速度耦合方程的半隐式算法和交错网格技术, 构建一种能够计算任意形状轴对称谐振管受活塞驱动时内部非线性驻波的有限体积算法. 分别对圆柱形、指数形和圆锥形谐振管内的非线性驻波进行仿真计算. 通过与现有试验结果以及数值仿真结果的对比, 验证了该方法的正确性.并获得除驻波声压之外的另外一些新的物理结果, 包括速度、密度、温度的瞬时变化.在直圆柱形谐振管内产生冲击声压波, 速度波形中出现钉状结构.而在指数形和圆锥形谐振管内产生高声压幅值的驻波, 没有出现冲击波, 速度波形中均未发现钉状结构. 计算结果表明谐振管内非线性驻波的物理属性与谐振管形状之间有密切关系.     

一端部分封闭管内声波的谐振频率

实验发现声波谐振管封闭端微小的缝隙会导致谐振频率发生相当大的移动。本文从理论和实验两个方面对这个现象进行了探讨。理论上，我们将缝隙简化为一段细管，在一维波近似下得到确定谐振频率的特征方程，结果可以定性上解释实验现象。实验上，我们在封闭端开孔，通过改变孔的面积使得边界条件从闭管连续过渡到开管情况。测量结果表明，谐振频率的移动主要取决于开孔面积，与孔的形状与位置关系不大。随着孔的面积增大，频率向上移动，而且呈现显著的先快后慢规律。     

自制鲁本斯火焰管在声学教学中的应用研究

为了直观地演示声波的有关实验现象, 实现声驻波的可视化, 制作了一个鲁本斯火焰管演示仪器用于 实验教学, 并就声压和频率对火焰高度和位置的影响进行了分析和研究, 实验发现火焰形状与声波波形相对应, 并 且呈现出高频动态变化的特征     

声速测量实验原理讨论

对空气中声速测量实验原理进行了讨论,考虑了空气对声波的吸收,分别用平面波和球面波表示发射探头和接收探头之间的声波,导出了接收声压的表达式,分析了声压随探头间距的变化规律.结果表明,尽管声场不是理想驻波,但声压极值随探头间距按半波长周期性的变化规律与驻波共振原理得到的结论相一致,然而3种原理在解释接收声压幅值衰减规律时存在差异,其中球面波原理与实验现象最吻合.     

弦振动实验中阻力系数的测定

研究一端接简谐振源、另一端固定的弦在阻尼介质(空气)中的稳态振动及阻力系数的测定.结果表明在考虑了媒质阻尼的情况下,波节处的振幅将不为零.在理论上避免了无穷大振幅的出现,在实验上可通过测量波腹和波节处的振幅计算阻力系数以及在阻尼介质中的驻波波腹点和波节点的位置相对于自由空间的纯驻波状态时的波腹点和波节点的位置的偏离量.     

利用PASCO传感器研究管中声波的共振

利用PASCO传感器测量了共振管中的声压分布,结果与基于多重反射的理论分析符合很好.在此基础上,测量了共振管开口端对管内声波的反射系数及其对频率的依赖关系.     

利用智能手机测量不同传播介质中声速的实验装置设计

利用智能手机自制简易实验装置，搭建了一套驻波法声速测量系统，实现了声波在空气和不同液体介质中的传播速度的准确测量。实验使用手机FreqCounter APP产生单频声波信号，采用DaTuner APP软件检测实时频率和声音强度，通过测得相邻波腹或波节间的距离，根据其与频率和声速间的关系即可求出所测声速值。所取得实验结果与理论值具有良好的一致性。     

驻波声场中悬浮临界密度及稳定性研究

本文以声场中物体为研究对象,理论上得到行波和驻波场中的声辐射压力方程.在驻波声场中引入临界悬浮密度概念,可作为物体能否在非线性声场中悬浮的判据,同时给出谐振腔移动速度的最大范围.更进一步,以实验参数作为数值计算的输入来指导实验,并结合实验结果讨论了驻波声场中样品密度和大小、发射面和反射面形状以及两者之间的距离、反射面的尺寸等因素对物体悬浮稳定性的影响,发现当物体尺寸和密度确定时,调控好谐振腔的长度,增加波腹处的声压是提升声悬浮稳定性的有效手段.     

A scheme of quantum phase gate for trapped ion

We propose a scheme to implement two-qubit controlled quantum phase gate(CQPG) via a single trapped two-level ion located in the standing wave field of a quantum cavity, in which the trap works beyond the Lamb--Dicke limit. When the light field is resonant with the atomic transition $|g\rangle\leftrightarrow|e\rangle$ of the ion located at the antinode of the standing wave, we can perform CQPG between the internal and external states of the trapped ion; while the frequency of the light field is chosen to be resonant with the first red sideband of the collective vibrational mode of the ion located at the node of the standing wave, we can perform CQPG between the cavity mode and the collective vibrational mode of the trapped ion. Neither the Lamb--Dicke approximation nor the assistant classical laser is needed. Also we can generate a GHZ state if assisted with a classical laser.     

The use of ultrasonic standing waves to enhance optical particle sizing equipment

Fluid dynamics modelling augmented with routines to simulate acoustic forces on aerosol particles has been used to investigate the potential of combining ultrasonic standing wave fields with optical particle analysis equipment. Simulations of particle dynamics in airstreams incorporating acoustic forces predict that particles in the 1-10 microns diameter range may be effectively focused to the velocity nodes of the standing wave field. Particles move to the velocity nodes within tens of milliseconds for acoustic frequencies of 10-100 kHz and at an acoustic energy density of 100 Jm-3. Larger particles are predicted to move to the velocity antinodes within similar times; however, there is a crossover region at approximately 15-20 microns particle diameter where longer times are predicted due to the competing forces driving particles to the vibration node and antinode. With sufficient transverse flow velocities the models predict that disturbances due to acoustic streaming can be overcome and a useful degree of focusing achieved for the aerosol particles. Results from a model demonstrating sampling and acoustic focusing of 3-9 microns aerosol particles to a 200 microns wide analysis area are presented.     

腔壁弹性对水下小型圆柱形亥姆霍兹共振器共振频率的影响

理论和实验研究了腔壁弹性对水下小型圆柱形亥姆霍兹共振器共振频率的影响.基于电-声类比理论,建立了小型共振器的简化模型,利用电路分析方法得到了便于计算的共振频率一般表达式.分别仿真分析了共振器壁面厚度和材料对共振频率的影响,得到了不同尺寸的小型共振器的近似刚性条件.在充水驻波罐中对不同壁厚、不同材料的小型圆柱形亥姆霍兹共振器的共振频率进行了测量,实验结果较好地验证了理论分析和近似刚性条件的正确性.所得结果对小型圆柱形亥姆霍兹共振器的设计和水下应用具有较好的参考价值. 关键词： 亥姆霍兹共振器 共振频率 传递函数 辐射阻抗     

The mechanical excitation of an acoustic resonance in a constant volume cavity

A standing half wave was excited in the column of ambient air within a long cylindrical tube, closed at both ends, by a longitudinal oscillation of the tube at the fundamental resonance frequency. For low amplitudes of oscillation the resonant behavior was adequately described by using linear acoustic theory. At high amplitudes shock waves appeared and the preliminary results generally agree with results for stationary tubes excited with a piston.This excitation apparatus is easy to build and operate. The constant volume cavity feature permits an accurate means of studying the non-linear shock wave behavior in various fluids at different pressures in the tube.     

Maximization of Acoustic Levitating Force for a Single-Axis Acoustic Levitation System Using the Finite Element Method

We investigate single-axis acoustic levitation using standing waves to levitate particles freely in a medium bounded by a driver and a reflector. The acoustic pressure at the pressure antinode of the standing wave counteracts the downward gravitational force of the levitating object. The optimal relationship between the air gap and the driving frequency leads to resonance and hence maximization of the levitating force. Slight deviation from the exact resonance condition causes a reduction in acoustic pressure at the pressure antinodes. This results in a significant reduction of the levitating force. The driving frequency is kept constant while the air gap is varied for different conditions. The optimal air gap for maximizing the levitation force is studied for first three resonance modes. Furthermore, a levitating particle is introduced between the driver and the reflector. The dependence of the resonance condition on the size of the levitating particle as well as the position of the particle between the driver and the reflector has also been studied. As the size of the levitating particle increases, the resonance condition also gets modified. Finite element results show a good agreement with the validated results available in the literature. Furthermore, the finite element approach is also used to study the variation of acoustic pressure at the pressure antinode with respect to the size of the reflector. The optimum diameter of the reflector is calculated for maximizing the levitating force for three resonance modes.     

含有侧孔阵列圆柱管的发声频谱

利用末端导纳匹配方法和格林函数方法,对含有侧孔的律管进行了声学谱分析,得到了均匀侧孔长管在两个音阶上的共振频谱。发现了随有效管长的均匀递减,其发声频率的递增是不均匀的。主要共振效应发生在离吹孔最近的侧孔处,随着共振频率的升高,气流更加集中地在第一侧孔辐射能量,次共振几乎可以忽略。附管上的侧孔对共振频率影响甚微,但是对音色、音强以及各侧孔的透射率都有一定的影响。该理论给出的共振频率与数值模拟结果符合地很好,第一音阶和第二音阶的平均偏差分别为5.03%和2.23%。由此认为末端导纳匹配方法适用于各类含有侧孔的管状发声物声学特性的研究。      

Enhancement of gas phase heat transfer by acoustic field application

This study discusses a possibility for enhancement of heat transfer between solids and ambient gas by application of powerful acoustic fields. Experiments are carried out by using preheated Pt wires (length 0.1-0.15 m, diameter 50 and 100 micro m) positioned at the velocity antinode of a standing wave (frequency range 216-1031 Hz) or in the path of a travelling wave (frequency range 6.9-17.2 kHz). A number of experiments were conducted under conditions of gas flowing across the wire surface. Effects of sound frequency, sound strength, gas flow velocity and wire preheating temperature on the Nusselt number are examined with and without sound application. The gas phase heat transfer rate is enhanced with acoustic field strength. Higher temperatures result in a vigorous radiation from the wire surface and attenuate the effect of sound. The larger the gas flow velocity, the smaller is the effect of sound wave on heat transfer enhancement.