纵向振子与圆盘组成的弯曲振动超声换能器的研究

用等效电路法研究了由纵向振动直棒与弯曲振动固盘组成的复合系统的共振频率及振动模式设计制作了几个具有弯曲振动圆盘的超声换能器,实测了它们的共振频率及振动位移分布。结果表明,实测值与设计值比较接近。本法计算简单,在此类换能器的实际设计中,具有一定的应用价值。     

纵—扭复合振动模式超声变幅杆研究

本文对窄端带有均匀截面直棒的指数型纵-扭复合振动模式超声变幅杆进行了理论及实验研究,推出了该复合模式变幅杆纵向振动及扭转振动的共振频率方程。为了克服同一变幅杆纵向与扭转振动很难实现同频共振的问题,提出了一种通过改变指数型变幅杆的截面变化规律而实现改变纵向及扭转振动传播速度的方法。通过合理选择指数变幅杆的截面半径减缩系数(即参数β),实现了纵-扭复合变幅杆纵向振动与扭转振动的同频共振。实测结果表明,共振频率的理论值与测试值基本一致,变幅杆纵向及扭转振动共振频率的测试值也比较符合。该变幅杆具有比较高的位移放大系数。可望应用于超声加工、超声疲劳实验及超声焊接等功率超声技术中。     

纵—弯复合模式超声换能器的研究

研究了一种新型的纵-弯复合振动模式超声换能器,该换能器由均匀截面细棒及两组不同结构的压电陶瓷元件组成.导出了此类换能器的频率设计方程.实验表明,纵向共振频率与弯曲振动共振频率基本一致,且实测值与设计值比较符合.     

功率超声振动系统研究进展

本文对国内外近几年来在功率超声振动系统方面的研究进展情况作简要介绍，内容包括大功率纵振系统，弯曲振动和扭转振动系统，复合振动系统，大尺寸振动系统，在空气中产生功率超声的振动系统以及某些特殊用途的超声振坳系统等６个部分。     

用于声化学的复合换能器的研究

设计了一种夹心式纵弯复合振动模式超声换能器,该换能器由纵向夹心式压电超声换能器与弯曲正六边形薄板组成。采用有限元方法,对一定几何尺寸边界自由的正六边形薄板进行模态分析,得到中心位移最大的某一模态,设计以该模态的频率作为共振频率的纵弯复合模式换能器。当复合振动系统振动模式的共振频率与纵向换能器的共振频率以及正六边形薄板弯曲振动的共振频率一致时,复合振动系统具有较高的有效机电耦和系数,系统声辐射能力较强;频率的理论与测量值的误差可能是设计纵向换能器时未考虑预应力螺栓、前后盖板的形状以及横向振动的影响,材料参数的取值与实际值有误差。弯曲振动的正六边形薄板的几何尺寸大,将会增大复合振动系统声波的辐射面积,因此可以改善局部空化腐蚀问题,并且可以提高槽内声场的均匀性,从而可以提高声化学产率;实验结果表明,换能器的共振频率测试值与设计值基本吻合。     

两种超声清洗槽中的声场研究

本文对两种超声清洗槽中声场的均匀程度、超声频谱及换能器辐射阻抗进行了研究。一种是由夹心式换能器纵向振动通过清洗槽底向槽中辐射产生的声场,另一种是由夹心式换能器激发矩形薄板产生弯曲振动通过槽底向槽中辐射的声场。     

用于超声清洗复合振动换能器的研究

本文研究了一种由纵向振动夹心式压电超声换能器与弯曲圆盘组成的用于液体中超声处理的复合振动辐射器。推出了恢复合振动系统的共振频率设计方程，分析了各个振动模式的机电转换特性及其声波辐射特性，测量了振动系统的共振频率及其有效机电耦合系数。从实验及理论结果可以看出，振动系统的频率测试值与设计值基本符合。在一定的共振频率上，该振动系统具有最大的有效机电耦合系数，是一种很有前途的功率超声辐射器。     

纵弯复合型超声椭圆振动辅助抛光光纤阵列系统设计

对现有的化学机械抛光工艺难以满足光纤阵列组件高质量和高效率的要求,根据杆件的纵向振动和弯曲振动基本方程,设计了一种纵弯复合超声椭圆振动装置,用于光纤阵列组件的超声椭圆振动辅助化学机械抛光,以提高光纤阵列组件端面的抛光质量和抛光效率。所设计的纵弯复合超声振动系统实现了36kHz下纵向4阶和弯曲13阶的同频超声振动。振幅测试试验结果表明,超声椭圆振动双向振幅分别为3μm和2.5μm,超声椭圆振动辅助化学机械抛光后的光纤端面粗糙度达到27.58nm。     

一种具有多工具头的超声换能振动系统

研究了一种新的超声波振动打孔系统.该系统由超声换能器、变幅杆、弯曲振动棒以及多工具头组成.与传统的单工具头超声波打孔装置相比.多工具头打孔装置具有工作效率高、换能器发热小等优点.文中给出了振动系统各部分的频率设计公式以及整体共振频率的计算公式.实验表明,振动系统各部分共振频率的设计值与测量值基本符合.多工具头超声振动系统的实用工作性能比较理想.     

复频超声换能器的研究

研究了一种具有多个共振频率的功率超声换能器，即复频超声换能器。换能器由一个纵向振动夹心式压电超声振子和一个弯曲振动薄圆盘复合而成。给出了换能器的理论共振频率方程，对实际制作的换能器的共振频率，等效电阻抗及有效机电耦合系数进行了实验测试，并对换能器的大功率工作性能进行了定性的测量及观察。实验结果表明，给出的换能器可以在不同的振动模式上工作，因此具有许多共振频率，且对应换能器不同的共振频率，换能器的等     

Frequency spectra of extensional vibration in isotropic shortcolumns and thick circular disks

A simple analytical method based on the equivalent elastic theory is presented for predicting the natural frequencies of a short column or a thick circular disk of axially symmetrical coupled vibration in which the longitudinal, the radial and the thickness extensional vibrations are considered. A critical value of thickness/diameter ratio is given that defines a boundary between a short column and a thick disk. Theoretical analyses show that the longitudinal and radial vibrations in infinite length rods, the radial and thickness extensional vibrations in thin plate are the special vibrating modes of a short column or a thick disk. The calculated frequencies for an isotropic column or a disk are in good agreement with the measured results     

Sandwiched piezoelectric ultrasonic transducers oflongitudinal-torsional compound vibrational modes

Sandwiched piezoelectric ultrasonic transducers of longitudinal-torsional compound vibrational modes were studied. The transducers consist of coaxially segmented, longitudinally and tangentially polarized piezoelectric ceramic rings, a back metal cylinder, and a front exponential solid metal horn. Based on the plane-wave approximation, the equivalent circuits of the longitudinal and torsional vibrations in the sandwiched transducer were obtained and the resonance frequency equations of the transducer in longitudinal and torsional vibrations were derived. By means of choosing the radius decay coefficient of the front exponential horn, the longitudinal and torsional vibrations are made to resonate at the same frequency in the transducer. Sandwiched piezoelectric ultrasonic transducers of longitudinal-torsional compound modes were designed and fabricated according to the frequency equations. It is demonstrated that the measured resonance frequencies of the transducers are in good agreement with the theoretical results, and the measured resonance frequencies of the transducers in longitudinal and torsional vibration modes are also in good agreement with each other. Theoretical and experimental results show that this kind of transducer can be used in ultrasonic welding, ultrasonic machining, ultrasonic motors, and other ultrasonic applications which need large displacement amplitudes     

A Comparison of Experimental and Theoretical Relations Between Young’s Modulus and the Flexural and Longitudinal Resonance Frequencies of Uniform Bars

The relations from which Young’s modulus may be computed from mechanical flexural and longitudinal resonance frequencies have been established by an empirical method using two sets of steel bars. Both sets contained rectangular and cylindrical specimens. For longitudinal vibration of cylindrical specimens, the agreement between the empirical curves and Bancroft’s corresponding theoretical relation was within experimental error if Poisson’s ratio for both sets is taken to be 0.292. For flexural vibrations, the agreement between the empirical curve and the corresponding theoretical relation developed by Pickett is also within experimental error for about the same value of Poisson’s ratio for the rectangular specimens of both sets; but for cylindrical specimens, the empirical values are somewhat lower than those predicted by the theory.     

Piezoelectric ceramic rectangular transducers in flexural vibration

Based on the equivalent elastic method and coupled vibration theory, an analytic method is presented to study the flexural vibration of rectangular transducers consisting of piezoelectric ceramic thin plates. By introducing a mechanical coupling coefficient, the flexural vibration of the piezoelectric ceramic rectangular thin plate is reduced to two simple, one-dimensional flexural vibrations of narrow piezoelectric ceramic strips. The resonance frequency equations for the piezoelectric ceramic rectangular thin-plate transducers in flexural vibration are derived under the free and simply supported boundary conditions analytically. The relationship between the resonance frequency and the flexural vibrational order, the geometrical shape, and the dimensions of the piezoelectric ceramic rectangular thin-plate transducer is analyzed. It is demonstrated that the one-dimensional vibrational theory for the flexural vibration of a narrow piezoelectric ceramic strip and the stripe-mode flexural vibrational theory for the piezoelectric ceramic rectangular thin plate can be derived directly from the theory obtained in this paper. Experimental results show that the measured resonance frequencies of the piezoelectric ceramic rectangular thin-plate transducers in flexural vibration under free-boundary conditions are in good agreement with the calculated results. The method presented in this paper can be used in the resonance frequency analysis of vibrating systems in coupled vibration.     

Piezoelectric ceramic disks with thickness-graded material properties

A system of two-dimensional, first-order equations for electroded piezoelectric crystal plates with general symmetry and thickness-graded material properties recently was deduced from the three-dimensional equations of linear piezoelectricity. These equations are simplified for the two limiting cases of thickness-graded piezoelectric properties, i.e., the homogeneous plate and bimorph of piezoelectric ceramics. Closed-form solutions are obtained from these reduced equations for the flexural and thickness-shear vibrations and static response of bimorph disks as well as for the extensional and thickness-stretch vibrations of homogeneous disks. Frequency spectra and modes are computed and examined. Resonance frequencies for both homogeneous and bimorph disks of PZT-857 are computed and measured. The comparison of the results shows that the agreement is close.     

纵-弯复合系统的振动特性研究

本文对一种常用的纵－弯复合振动系统进行了研究，该系统由一个弯曲振动工具头及一个纵振动驱动系统组成，文中对复合振动系统的振动特性进行了理论及实验研究，推出了系统的共振及反共振频率方程，还导出了复合振动系统的机械输入阻抗，并对系统的共振频率随长度的变化规律进行了探讨，实验表明，复合振动系统共振频率的测试值与计算值符合较好，系统的共振频率随振动系统几何尺寸的变化而变化，并且，弯曲振动系统的尺寸变化对频率     

Nonlocal continuum model and molecular dynamics for free vibration of single-walled carbon nanotubes

Free transverse, longitudinal and torsional vibrations of single-walled carbon nanotubes (SWCNTs) are investigated through nonlocal beam model, nonlocal rod model and verified by molecular dynamics (MD) simulations. The nonlocal Timoshenko beam model offers a better prediction of the fundamental frequencies of shorter SWCNTs, such as a (5, 5) SWCNT shorter than 3.5 nm, than local beam models. The nonlocal rod model is employed to study the longitudinal and torsional vibrations of SWCNT and found to enable a good prediction of the MD results for shorter SWCNTs. Nonlocal and local continuum models provide a good agreement with MD results for relatively longer SWCNTs, such as (5, 5) SWCNTs longer than 3.5 nm. The scale parameter in nonlocal beam and rod models is estimated by calibrations from MD results.     

Radiation impedance and equivalent circuit for piezoelectric ultrasonic composite transducers of vibrational mode-conversion

The piezoelectric ultrasonic composite transducer, which can be used in either gas or liquid media, is studied in this paper. The composite transducer is composed of a longitudinal sandwich piezoelectric transducer, a mechanical transformer, and a metal circular plate in flexural vibration. Acoustic radiation is produced by the flexural circular plate, which is excited by the longitudinal sandwich transducer and transformer. Based on the classic flexural theory of plates, the equivalent lumped parameters for a plate in axially symmetric flexural vibration with free boundary conditions are obtained. The radiation impedance of the plate is derived and the relationship between the radiation impedance and the frequency is analyzed. The equivalent circuits for the plate in flexural vibration and the composite transducer are given. The vibrational modes and the harmonic response of the composite piezoelectric transducer are simulated by the numerical method. Based on the theoretical and numerical analysis, two composite piezoelectric ultrasonic transducers are designed and manufactured, their admittance-frequency curves are measured, and the resonance frequency is obtained. The flexural vibrational displacement distribution of the transducer is measured with a laser scanning vibrometer. It is shown that the theoretical results are in good agreement with the measured resonance frequency and the displacement distribution.     

Electric equivalent circuit for flexural vibrations in piezoelectric materials

General expressions for the values of the components of an electric equivalent circuit are derived for flexural vibrations. These expressions are applied to some interesting electrode configurations. The obtained values are in good agreement with experimental values and values specified by manufacturers of watch crystals. It is noted that solving Laplace's equation for the dielectric field is sufficient in order to obtain the values of the vibration amplitude, the piezoelectric current, and the equivalent components. The piezoelectric part of the electric field need only be considered if very accurate values of the resonance frequencies are desired. It is shown how accurate estimates can be obtained without the need of advanced calculation tools.     

气介式功率超声复合换能器的声辐射特性研究

本文对气介式功率超声复合换能器的辐射声场进行了理论计算并与实验结果进行了对比。该复合换能器由夹心式纵向振动半波长换能器及弯曲振动的薄圆盘组成。从理论上推出了弯曲振动辐射圆盘在不同边界条件下的辐射声场分布及其共振频率方程。理论分析结果表明,固定边界弯曲振动圆盘辐射声场的指向性最佳,并且指向性的理论计算结果与实验结果符合很好。