压电空心圆柱体中的周向SH波

基于三维线性压电弹性理论,采用一种正交多项式级数方法研究了轴向极化、电开路时正交各向异性压电空心圆柱中的周向SH波。把位移和电势展开成勒让德多项式级数,引入点确定的材料常数以解决边界条件,最后把问题的解简化为一个特征值问题。计算了不同径厚比下FZT-4管道周向SH的波频散曲线和电势分布。讨论了压电的影响。     

Coupled transient thermoelastic contact problems for axial cracks in hollow cylinders

A coupled transient thermoelastic behaviour of an axial-cracked hollow circular cylinder subjected to a sudden heating is investigated in this study. It is shown that surface heating may induce the compressive thermal stress near the inner surface of the cylinder which in turn may force the cracked surfaces to close together. Assuming that the existence of the crack does not alter the temperature distribution, we can divide this problem into two parts and solve it by the principle of superposition. First, the temperature and transient thermal stress distributions along the axisymmetric surface of the imaginary cylinder without crack are obtained by finite element implicit time integration method Secondly, the opposite sense of the stress distributions along the cracked surfaces, which is obtained previously, is treated as the traction boundary conditions; the contact length and contact pressure of the real cracked cylinder are obtained by modified elimination finite element scheme. Finally, we also obtained the normalized stress intensity factor for the crack tip of the cylinder. It is concluded that the effect due to thermoelastic coupling term on stress intensity factor becomes more important for higher coupling coefficient, and this coupling term also results in a small time lag in temperature, thermal stress and stress intensity factor.     

Some constructions and characteristics of rod-type piezoelectric ultrasonic motors using longitudinal and torsional vibrations

Ultrasonic motors using longitudinal and torsional motions of rod vibrators have previously been proposed. Several motor constructions, whose forms are different from the previous ones, are proposed and their characteristics are experimentally examined in order to develop the ultrasonic motors of this type; that is, they are expected to have much different uses, according to how their forms are modified. Two groups of motor are dealt with: one contains motors basically suited to the relatively high torque of 2-3 kgf-cm and the other contains motors for small or medium torque below about 1.0 kgf-cm. As the result, operational characteristics of motors are totally revealed. These are useful in developing the rod type ultrasonic motors and in their practical applications.     

Developments of piezoelectric ultrasonic actuators operating under bending hybrid vibration modes

The exciting methods for the sandwich type piezoelectric ultrasonic actuators used bending hybrid modes are investigated. Five exciting methods are discussed and compared in detail, in which the polarizations and the partitions of the ceramic rings are different. Harmonic analyses are developed to obtain the effects of the exciting methods on the electromechanical coupling factors and the vibration amplitudes. At last, five prototypes are manufactured to verify their differences. Both the simulation and experiment results prove that the exciting method using ceramic rings with four separated partitions achieves great improvements on the efficiency, velocity and force, synchronously.     

A piezoelectric motor using two orthogonal bending modes of a hollow cylinder

This paper proposes a compact ultrasonic motor with low manufacturing costs, a simpler driving circuit, and scalability. The stator of the motor presented in this paper consists of a hollow metal cylinder, whose outside surface was flattened on two sides at 90 degrees to each other, on which two rectangular piezoelectric plates were bonded. Because the cylinder has a partially square/partially circular outside surface, the stator has two degenerated bending modes that are orthogonal to each other. A wobbling motion is generated on the cylinder when only one piezoelectric plate is excited at a frequency between the two orthogonal bending modes. A rod through a pair of ferrules was used as the rotor of this motor. The prototype motor, whose stator was 2.4 mm in diameter and 10 mm in length, operated at 69.5 kHz, was experimentally characterized, and a maximum torque of 1.8 mNm was obtained.     

Same phase drive-type ultrasonic motors using two degenerate bending vibration modes of a disk

Same-phase drive-type ultrasonic motors, using two degenerate bending vibration modes of a disk, are presented. The distinctive feature of the motor is in using the standing wave modes. The motor is not driven by two input signals with different phases, but by input signals with the same phase. Therefore, only one amplifier is sufficient to drive the motor. The experimental results have proved that the motor can yield stable operational characteristics at low speed and high torque.     

双十字压电振子同型弯振模态驱动的平面超声电机

为了丰富平面超声电机的型式,提出一种双十字压电振子同型弯振模态驱动的平面超声电机。利用双十字压电振子的纵杆面内、面外弯振耦合以及横杆面内、面外弯振耦合,分别在两杆的驱动足上合成沿xoz、yoz面行进的两相椭圆轨迹,以交替地推动动子沿x、y向移动。分析了该平面超声电机的驱动机理,并推导出两相椭圆轨迹方程。建立了双十字压电振子机电耦合模型,对其三相工作模态的振型进行仿真分析,并在结构优化的基础上实现了三相工作模态频率一致,使它们分别为43 468,43 552和43 569 Hz。仿真了双十字压电振子的频响特性并实现了干扰模态分离,当驱动电压为250 V时,驱动足x、y、z向振幅分别为1.3,0.8和0.9 μm,满足电机驱动要求。模拟得到定频激励下双十字压电振子驱动足的两相椭圆运动轨迹,验证了所设计平面超声电机驱动机理的有效性。该平面超声电机可输出较大速度与动力,具有广阔的应用前景。     

Thermoelectric effect in hollow superconducting cylinders

The thermoelectric effect in hollow cylindrical specimens (of circular and slit-like shapes) is considered. The detailed analysis of the behavior of the superconducting thin-walled cylinder in presence of normal current, is presented. The ratio of magnetic fluxes through the cylinder in superconducting and normal states is calculated as a function of temperature, wall thickness and other parameters of the superconductors. The gigantic thermoelectric effect is discussed using the concept of quantum transitions between the magnetic levels of cylindrical system. Some experimentally observable predictions are made.     

Coupled thermoelasticity and second sound in finite length functionally graded thick hollow cylinders (without energy dissipation)

In this article, the coupled thermoelasticity behavior of functionally graded thick hollow cylinders is studied. The governing coupled thermoelasticity and the energy equations are solved for a finite length functionally graded cylinder subjected to thermal shock load. The coupled thermoelastic equations are considered based on Green–Naghdi theory. The mechanical properties of cylinder are graded across the thickness as a power law function of radius. The cylinder is assumed to be made of many isotropic sub-cylinders (layers) across the thickness. Functionally graded properties are created by suitable arrangement of layers and governing equations are expanded in longitudinal direction by means of trigonometric function expansion. The Galerkin Finite Element and Newmark Methods are used to analyze the cylinder. The dynamic behavior of temperature distribution, mechanical displacement and thermal stresses is obtained and discussed. The second sound and elastic wave propagation are determined for various kinds of variation in the mechanical properties. The comparison of present results with published data shows the excellent agreement.     

c-Axis zig-zag ZnO film ultrasonic transducers for designing longitudinal and shear wave resonant frequencies and modes

A method for designing frequencies and modes in ultrasonic transducers above the very-high-frequency (VHF) range is required for ultrasonic non-destructive evaluation and acoustic mass sensors. To obtain the desired longitudinal and shear wave conversion loss characteristics in the transducer, we propose the use of a c-axis zig-zag structure consisting of multilayered c-axis 23° tilted ZnO piezoelectric films. In this structure, every layer has the same thickness, and the c-axis tilt directions in odd and even layers are symmetric with respect to the film surface normal. c-axis zig-zag crystal growth was achieved by using a SiO(2) low-temperature buffer layer. The frequency characteristics of the multilayered transducer were predicted using a transmission line model based on Mason's equivalent circuit. We experimentally demonstrated two types of transducers: those exciting longitudinal and shear waves simultaneously at the same frequency, and those exciting shear waves with suppressed longitudinal waves.     

High-temperature piezoelectric film ultrasonic transducers by a sol-gel spray technique and their application to process monitoring of polymer injection molding

Thick-film (90 /spl mu/m) piezoelectric ceramic high-temperature ultrasonic transducers (HTUTs) have been successfully deposited on metallic substrates by a sol-gel spray technique. The gel is composed of fine powders of bismuth titanate dispersed in a lead-zirconate-titanate solution. The films with desired thickness have been obtained through multilayer coating approach. Piezoelectricity is achieved using the corona discharge poling method. The center frequencies of ultrasonic signals generated by these HTUTs are around 10 MHz and their signal-to-noise ratio (SNR) is more than 30 dB in pulse-echo mode at 500/spl deg/C. The main advantages of these new HTUTs are that they 1) are applicable at temperatures higher than 500/spl deg/C, 2) are miniature, 3) can be coated on flat and curved surfaces, 4) do not need ultrasonic couplant, 5) can be operated at low and medium megahertz frequency range with sufficient frequency bandwidth, and 6) have sufficient piezoelectric strength and SNR. The ability of the HTUTs to monitor the polymer injection molding process in real-time at the mold insert of the machine is demonstrated.     

基于气体基压电复合材料的线聚焦空耦超声传感器研制与应用

空气耦合式超声检测技术因具有非接触、无损伤等特点,被广泛应用于材料的非接触检测。本文从晶硅太阳能电池的实际检测需求出发,设计并制作了一种气体基线聚焦空气耦合（空耦）式超声传感器,与传统的聚合物基空气耦合（空耦）式超声传感器相比,气体基线聚焦空耦传感器利用了3D打印技术将聚合物基框架改进为镂空结构,进一步降低了压电复合材料的声阻抗。所研制的传感器中心频率约为150 kHz,聚焦半径为20 mm,孔径为28 mm。对传感器进行了激励接收性能测试,并采用空耦超声Lamb波检测技术,对含有裂纹缺陷的单晶硅太阳能电池片进行非接触式检测,通过分析接收信号的幅值信息并利用相关系数法,完成了对裂纹缺陷的检出和定位,实现了气体基线聚焦空耦传感器在缺陷检测中的应用。     

多自由度超声波电机的研究进展和展望

超声波电机具有低速大力矩、响应快、分辨率高和抗电磁干扰等优点,能直接驱动,使其在机器人、工业仪器仪表、安防等领域有着广阔的应用前景。多自由度是超声波电机研究领域的前沿课题。本文分类探讨了近年来出现的几种多自由度超声电机的结构、机理、性能及其特点,给出了一些具有代表性的实例,总结了多自由度超声波电机的主要研究成果和应用状况,对多自由度超声波电机的今后研究重点和发展方向提出了建议。     

Temperature field in infinite hollow cylinders heated asymmetrically around their perimeter under general nonuniform boundary conditions

A solution has been found, by the method of finite integral transformations, of the heat conduction equation for a hollow cylinder, heated asymmetrically around its perimeter, under general boundary conditions. Formulas are given which reduce the problem with non-uniform boundary conditions to an equivalent problem with uniform boundary conditions.     

Properties of zero-field resonant modes in josephson junctions

The effect of an external magnetic field on zero-field resonances is investigated analytically. A calculation shows that the even-mode current height falls smoothly to zero as the external field strength is increased to n₀/2, where n is any positive integer and ₀ is the flux quantum. A much more detailed comparison of the experimental observations and the theoretical predictions than that of earlier studies is given. We also discuss the temperature dependence of the current singularities and the formation of current branches with respect to coupling strength in Fiske modes, a microwave-coupled resonance mode, and this zero-field case, and the spectrum of emission radiation of the zero-field resonant modes. A possible mechanism is proposed which differs from the conventional explanation for the zero-field resonances in terms of the vortex model suggested by Fulton and Dynes.     

Flux flow and resonant modes in multi-junction Josephson stacks

Magnetic field dependent current-voltage characteristics of stackled Nb/(Al−AlO_x/Nb)_n long Josephson junctions are investigated experimentally. The thickness of their common superconducting electrodes provides the magnetic coupling between the junctions. For stacks of n=7 Josephson junctions the current-voltage characteristics display collective flux-flow behaviour of Josephson vortices. In the interior layers Josephson vortices move simultaneously under the influence of the bias current. The flux-flow behaviour is modulated by a complicated structure of cavity-like resonances which show broad range of characteristic frequencies. The measurements can be qualitatively explained by the Kleiner model for the resonances in stacks. Mutual locking of junctions in the stack is indicated by pronounced cavity resonances with large voltage spacing.     

New type of piezoelectric ultrasonic motor

The authors describe a newly developed motor concept which allows a bidirectional piezoelectric ultrasonic motor to be operated with only a single voltage feed and thus only one power amplifier. The motor concept is based on the superposition of a longitudinal and a flexural oscillation of a rod-shaped resonator. In a way analogous to the generation of a Lissajous figure, this superposition produces a rotary movement of the resonator end by means of which a rotor is directly driven. By selecting the relative phase of the electrical stimulations of both modes, the speed can be continuously varied in both directions. The motor can be driven in both right and left directions with speeds of 0 to 300 r/min, and a freewheeling state can be set up by means of a suitable phase between the oscillation modes. In the off state, the motor blocks the motion.     

Dispersion and characteristic surfaces of waves in hybrid multilayered piezoelectric circular cylinders

The frequency and group velocity dispersion behaviors, and characteristic surfaces of waves in a hybrid multilayered piezoelectric circular cylinder are investigated. The associated frequency dispersion equation is developed using an analytical-numerical method. In this method, the cylinder is modeled using the three-nodal-line layer element; the coupling between the elastic field and the electric field is considered in each element. A system of governing differential equations of each layer element is obtained following the Hamilton Principle. The phase velocity and slowness as well as the group velocity and slowness are established in terms of the Rayleigh quotient. Six characteristic wave surfaces, e.g. the phase velocity, slowness and wave surfaces as well as the group velocity, slowness and wave surfaces, are introduced to visualize the effects of anisotropy and piezoelectricity on wave propagation. A corresponding program code is developed and numerical examples are presented for hybrid multilayered piezoelectric circular cylinders with two ratios of radius to thickness.