谐振管形状对热声发动机内非线性声场的影响

研究了谐振管一端受活塞声源激励,另一端刚性封闭条件下,管道形状对热声发动机谐振管内部非线性声场的影响。基于流体力学基本方程建立了渐变截面谐振管内一维非线性声场的模型,考虑了黏性耗散及非线性效应的影响。利用伽辽金法数值求解了该模型的速度势方程,分析了谐振管形状、活塞振动速度及激励频率对管内声场的影响。将双曲形、指数形、锥形、正弦形等四种变截面谐振管内的非线性声场与圆柱形直管的情况进行了比较。结果反映了谐振管内声场的压力波动受活塞振动速度及谐振管形状的影响;显示了当活塞振动幅度较大时,谐振管内出现的波形畸变、频率曲线偏移、共振频率滞后等非线性现象;揭示了变截面谐振管在抑制管内的高阶谐波及提高压比等方面的优越性。      

二维振动方向变换器的耦合振动及其等效电路

二维振动方向变换器集功率合成和二维超声输出的功能于一体,在功率超声技术中具有重要的应用价值。然而,对于二维振动方向变换器的设计分析只有一种较为复杂的波动方程法。为此,本文研究了二维振动方向变换器的另外一种简明的设计分析方法——等效电路法。通过引入二维机械耦合系数和纵向力转换系数,利用力电类比原理建立了二维振动方向变换器的同相及反相二维耦合振动的统一等效电路模型。利用本文提出的设计方法,计算了两种不同材料的二维振动方向变换器的谐振频率,与有限元计算结果及实验测试结果一致,为该类超声振动系统的工程应用提供了一种简洁直观的设计分析方法。      

同向振动L-L振动方向变换器的等效电路

基于表观弹性法和机电类比原理,推导了L-L振动方向变换器正交复合振动系统的机电等效电路及谐振频率方程。分别利用等效电路法、波动方程法,通过有限元法计算并结合实验测试分析了变换器同向振动的共振频率与其纵向及横向尺寸的变化规律。研究表明,变换器做同向振动时的共振频率随其纵向尺寸的增加而减小,随其横向尺寸的增加而增大;比较三种方法计算结果可知,本文给出的等效电路模型计算结果和有限元仿真结果均与实验测试结果相吻合,为该类超声振动系统的设计提供较为精确的设计理论。     

微型轴承内滚道超声辅助超精研磨系统的设计研究*

为了提高5G基站中微型轴承的精度和使用寿命,基于微型轴承外套圈结构特征提出一种超声振动辅助研磨轴承外圈滚道的加工工艺。通过坐标变换及运动合成,获得了振动研磨轴承外圈滚道的工作面轨迹特点,阐明了振动高效研磨的本质特征;之后,分别采用等效电路法和有限分析法,建立了振动系统的等效电路图与频率方程,分析了该系统模型的固有模态与谐响应特性;最后,通过对自行研制的超声辅助研磨系统分别进行振动特性测试和加工效果测试。结果表明,加工系统振动频率相对设计频率的误差率为10‰,超声振幅为12.95μm,加工轴承滚道的粗糙度和轮廓度较传统研磨加工分别降低了27.17%和24.1%。     

基于传输矩阵法的任意变厚度环型压电超声换能器

变厚度环型径向振动压电超声换能器可以实现阻抗变换、能量集中,具有辐射面积大、全指向性等优点,在功率超声、水声等领域被广泛应用.由于求解复杂变厚度金属圆环径向振动的波动方程比较困难,本文使用传输矩阵法将变厚度金属圆环的径向振动转化为N个等厚度金属圆环径向振动的叠加,得到了任意变厚度金属薄圆环径向振动的等效电路图、共振频率方程和位移放大系数表达式,分析了锥型、幂函数型、指数型、悬链线型金属圆环的位移放大系数与几何尺寸的关系.在此基础上,推导了由任意变厚度金属圆环和等厚度压电圆环复合而成的压电超声换能器径向振动的等效电路和共振频率方程.为了验证理论结果的正确性,使用有限元软件进行仿真,所得一阶、二阶的共振频率和位移放大系数的数值解与理论解符合较好.本研究给出了任意变厚度金属圆环径向振动的普适解,为设计和优化径向压电超声换能器提供了理论指导.     

四分之一波长锥形谐振管共振频率的研究

在热声发动机系统中,谐振管用来调节系统的超振频率.通常的四分之一波长谐振管由一段谐振管后面连接一个比较大的气体容积构成,与二分之一波长谐振管相比,在相同的起振频率下前者可以有相对短的管长.锥形谐振管除了调节频率外,还可以提高热声发动机输出压力波的压比.本文通过数值计算软件Fluent6.0中的K-ε湍流模型模拟了不同长度、不同的进出口直径的一系列锥形谐振管,得出了近似四分之一波长锥形谐振管的共振频率与其长度、锥度之间的关系,并初步与实验进行了对照.     

超声辅助磨削杯形砂轮变幅器设计与试验*

超声辅助磨削在硬脆材料的加工中应用广泛。为研制以杯形砂轮为加工工具的超声辅助磨削主轴附件式工具系统,建立了杯形砂轮变幅器的理论模型,推导了其频率方程,并通过Matlab开发了杯形砂轮变幅器设计软件。利用该软件结合有限元分析对杯形砂轮变幅器进行了设计。将研制的杯形砂轮变幅器与BT40刀柄一体化外套筒、导电滑环装配组成了杯形砂轮超声辅助磨削主轴附件式工具系统。对该超声振动系统进行了阻抗分析试验及超声谐振试验,结果表明,该超声振动系统阻抗性能较好,能够使杯形砂轮产生稳定的超声振动,验证了所提出的设计方法的正确性,为主轴附件式超声磨削装置的设计提供了理论参考。     

幂函数型环形聚能器径向振动的等效电路

基于机电类比原理和变厚度薄圆环的平面应力方程,推导了幂函数型环形聚能器径向振动的等效电路、共振频率方程和位移放大系数。讨论了第一、二阶径向共振频率及相应的位移放大系数随圆环半径比的变化关系。结果表明,幂函数型环形聚能器径向振动的等效电路是一种非互易二端口等效网络;一阶和二阶共振频率随圆环内外半径比的增大而增大;一阶径向共振模式下位移放大系数随圆环半径比的增大先降低后升高,二阶径向共振模式下位移放大系数随圆环半径比的增大而降低,但二阶时的位移放大系数整体大于一阶,因此二阶径向共振模式具有更好的径向振动性能。用COMSOL有限元软件对解析理论分析结果进行了验证,仿真模拟结果与解析理论符合良好。根据幂函数型环形聚能器的等效电路模型,进一步设计了一种压电环形换能器,计算了第一、二阶径向共振频率、反共振频率及有效机电耦合系数,通过与COMSOL有限元软件模拟结果对比,符合良好。本文研究结果为幂函数型环形聚能器及压电环形换能器的工程应用提供了简明设计理论,文中研究结论可作为一种径向超声切割刀在超声工程中获得重要应用。      

模式转换型超声塑焊振动系统的设计

基于弯曲振动理论和耦合振动理论,设计了一种新型大尺寸筒形超声塑焊振动系统。该振动系统由纵向振动换能器及变幅杆、弯曲振动金属圆盘和耦合振动圆筒四部分组成。换能器和变幅杆的纵向振动驱动圆盘的二次弯曲模式振动,圆盘的二次弯曲模式振动激励圆筒的纵向模式振动,实现了工具头在较高频率下谐振。实验结果表明,振动系统的测试频率与计算频率比较符合,在大信号下测试的纵-弯-纵振动模式转换效果很好。研究结果为高频大尺寸超声焊接系统的设计提供了思路。      

斜槽式单激励纵扭超声变幅杆设计*

为实现在纵向单激励超声振动输入条件下获得纵扭谐振输出,提出一种基于声波传播理论为基础设计阶梯型变幅杆,并在其小端增加沿中心轴均布6斜槽的圆环传振杆的方案：首先数值计算进行理论设计,然后使用有限元进行分析修正,最后确定变幅杆尺寸。结果表明：理论设计谐振频率20kHz,仿真分析在19457Hz时变幅杆能够实现纵扭谐振;根据仿真结果制作变幅杆,阻抗测试结果谐振频率为19884Hz,与理论值、仿真值误差较小;在输入端加载幅值为5μm的纵向单激励超声振动,测试输出端截面圆周上任意一点,其切向和纵向振幅分别为12.7μm和8.5μm,表明变幅杆实现了纵扭谐振且振幅增强。     

大负载超声振动磨削系统的设计

设计了一种大负载超声振动磨削系统,超声系统由换能器、圆柱圆锥形变幅杆和轮辐式砂轮组成.首先将轮辐式砂轮等效成轮毂为圆柱杆、辐板与轮缘为中厚板的复合模型,利用各接触面边界连续的条件推导系统的频率方程,完成了超声磨削系统的设计,制作了实验装置并分析验证了其声学振动特性.实验结果表明:利用轮辐式砂轮复合模型求解系统频率方程,...     

Radial vibration of a slit-type annular ultrasonic concentrator

The radial vibration characteristic of an annular ultrasonic concentrator with multislits is studied.Based on the electro-mechanical analogy and by introducing an area ratio coefficient,the radial vibrational equivalent circuit and the frequency equation of the concentrator are derived.The radial displacement amplitude magnification factor of it is obtained.By numerical calculating,the relationship between the radial displacement amplitude magnification factor,the resonance frequency of the concentrator at the first and second resonance and its radius ratio are investigated.Also,the relationship between the radial displacement amplitude magnification factor,the resonance frequency of the concentrator and the length,the angle and the number of the silts are analyzed.It is illustrated that a maximum of displacement amplitude magnification factor of the concentrator appears with the increase of the radius ratio,and the amplitude magnification factor increase as the length,the angle and the number of the silts increase,while the radial resonance frequency of the concentrator decreases as the length,the angle and the number of the silts increase.The theoretical resonance frequencies are in good agreement with that of the FEM simulations and measurement.     

Effect of ultrasound on deformation of crystalline materials

The results are presented on computer simulation of plastic deformation of a single crystal under action of constant and alternating loads applied simultaneously. A model of nucleation and motion of dislocation lines on the area of simulating with defects arranged randomly is briefly described. Regions of varying the plasticity curve under action of an ultrasound load are found; the influence of the amplitude, frequency, and time of applying the ultrasonic load is determined. It is shown that there is a frequency at which the deformation of the material is maximal.     

性能可调的纵向振动圆锥形超声变幅杆*

提出了一种基于压电效应的性能可调纵向振动圆锥形超声变幅杆,并对其振动性能进行了研究。该变幅杆由传统的圆锥形超声变幅杆和压电陶瓷材料组合而成。论文研究了圆锥变幅杆中压电陶瓷材料的厚度、位置以及电阻抗的改变对变幅杆性能参数的影响,并进行了数值模拟仿真及实验验证。结果表明,通过改变压电陶瓷材料的厚度、位置和电阻抗值,可以实现变幅杆共振频率和位移放大系数的改变。理论计算结果与数值模拟值和实验测试值符合得很好。     

Enhanced vibration performance of ultrasonic block horns

Block horns are tuned components designed to vibrate in a longitudinal mode at a low ultrasonic frequency. Reliable performance of such horns is normally associated with the amplitude of vibration, uniformity of vibration amplitude at the working surface and the avoidance of modal participation by non-tuned modes at the operating frequency. In order to maximise vibration amplitude uniformity, standard slotting configurations are included in the horn design. However, defining a slotted block geometry which guarantees sufficient tuned frequency isolation from nearby modes as well as high amplitude and amplitude uniformity, is not straightforward. This paper discusses horn configurations which satisfy these criteria and investigates the design requirements of block horns which operate as intermediate components in ultrasonic systems, where the block horn dominates the vibration behaviour of the system. The importance of mode shape characterisation is discussed and modes are classified using experimental data from 3D laser Doppler vibrometer measurements and finite element analysis. In particular, the role of additional fine slots and castellations are studied with reference to two distinct ultrasonic applications involving a similar block horn.     

径向极化压电陶瓷长圆管复合超声换能器的径向振动

提出了一种圆管式径向复合压电陶瓷换能器,并对其径向振动特性进行了分析。该换能器由径向极化的压电陶瓷圆管以及金属外圆管组成。利用解析法得出了金属圆管以及具有任意壁厚的径向极化压电陶瓷圆管径向振动的机电等效电路。基于金属圆管与压电圆管的机械边界条件,得出了换能器的六端机电等效电路。在此基础上得出了换能器共振及反共振频率方程的解析表达式,给出了换能器的共振及反共振频率与其几何尺寸之间的依赖关系。利用数值方法对换能器的径向振动特性进行了模拟及仿真,并与解析结果进行了比较。最后,设计并加工了一些径向复合管式压电陶瓷换能器,利用精密阻抗分析仪对其共振及反共振频率进行了实验测试。研究结果表明,利用解析理论得出的换能器共振及反共振频率与数值模拟结果以及实验测试结果符合很好。      

Study on the high power air-coupled ultrasonic compound transducer

The high power air-coupled compound ultrasonic transducer in flexural vibration is studied. The transducer consists of a sandwich longitudinal piezoelectric transducer and a circular thin plate in flexural vibration. The resonance frequency equation and the equivalent circuit of a circular radiator with clamped boundary condition are derived. The resonance frequency equation and the equivalent circuit of the compound transducer are also obtained. The radiated acoustic field of the circular thin plate radiator is analyzed and the directional pattern is calculated. It can be seen that when the vibrational order of the circular thin plate in flexural vibration is increased, the radiated acoustic field becomes complex.     

Investigations of the barbell ultrasonic transducer operated in the full-wave vibrational mode

In this paper, the resonance frequency equation and expression of displacement amplitude magnifications of a full-wave barber ultrasonic horn are obtained. By discussing the relationships between the displacement amplitude magnifications and the geometrical dimensions, the optimized design of the horn for the largest magnification is proposed, which is helpful to improve the radiation power and the transfer efficiency of the acoustic energy of the ultrasonic oscillatory system. Based on the optimized design of the horn, we introduced a barbell ultrasonic transducer operated in the longitudinal full-wave vibrational model and obtained the resonance frequency equations. For comparison, the resonance frequencies of the full-wave barbell horn and the full-wave barbell transducer are also analyzed by finite element method (FEM). It is shown that the values obtained by theoretical analysis and FEM are in good agreement with experimental observations. We hope that the research of this paper is helpful for the use of the barbell horn and transducer in the applications such as ultrasonic liquid processing.