Radial Vibration Frequency Equation of Composite Disc Piezoelectric Ultrasonic Transducer

2008 ◽  
Vol 44 (09) ◽  
pp. 65 ◽  
Author(s):  
Shiqing LIU
Keyword(s):  
Vibration Frequency ◽  
Ultrasonic Transducer ◽  
Frequency Equation ◽  
Radial Vibration

scholarly journals Radial Vibration Characteristics of Piezoelectric Ceramic Composite Ultrasonic Transducer

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Chundong Yao ◽  
Chao Zhang ◽  
Jiani Zhang ◽  
Yang Zhang
Keyword(s):  
Natural Frequency ◽  
Piezoelectric Ceramic ◽  
Ceramic Composite ◽  
Ultrasonic Transducer ◽  
Simulation Models ◽  
Thick Wall ◽  
Radial Vibration ◽  
Ceramic Tube ◽  
Inner Diameter ◽  
Simulation Results

Different from the existing equivalent circuit analysis method of the transducer, based on the vibration theory of the mechanical system and combined with the constitutive equation, this paper analyzes the radial vibration characteristics of the transducer. The piezoelectric ceramic composite ultrasonic transducer is simplified as a mechanical model of a composite thick wall tube composed of a piezoelectric ceramic tube and a metal prestressed tube. The mathematical model of radial vibration of the transducer is established, which consists of the wave equation of radial coupling vibration of the piezoelectric ceramic tube and the metal prestressed tube, the continuity conditions, and the boundary conditions of radial vibration of composite thick wall tube. The characteristic equation and the mode function of radial vibration are derived. The calculated results of natural frequency are in good agreement with the existing experimental results. Based on the analytical method and the difference method, the numerical simulation models of radial vibration are established, and the amplitude-frequency characteristic curves and the displacement responses are given. The simulation results show that the amplitude-frequency characteristic curves and the displacement responses of the two methods are the same, which verifies the correctness of simulation results. Through the simulation analysis, the influence rule of the transducer’s structure sizes on its radial vibration natural frequency is given: when the thickness of the metal prestressed tube and the piezoelectric ceramic tube are constant, the natural frequency decreases with the increase of the inner diameter of the piezoelectric ceramic tube; when the outer diameter of the metal prestressed tube and the inner diameter of the piezoelectric ceramic tube are constant, the natural frequency decreases with the increase of the thickness-to-wall ratio. The calculation method of natural frequency based on elastic vibration theory is clear in concept and simple in calculation, and the simulation models can analyze the mechanical vibration of the transducer.

The Analysis of Piezoelectric Tube Stack for Radial Vibration Frequency

2014 ◽  
Vol 41 (1-3) ◽  
pp. 20-27
Author(s):  
Zhong Chao ◽  
Wang Likun ◽  
Qin Lei ◽  
Zhou Jingjing ◽  
Chen Cuiying ◽  
...  
Keyword(s):  
Vibration Frequency ◽  
Radial Vibration

Determination of fundamental coupled torsional—radial frequency of single-walled carbon nanotubes

2020 ◽  
pp. 107754632098134
Author(s):  
Sneha Singh
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Shear Modulus ◽  
Vibration Frequency ◽  
Single Walled Carbon Nanotubes ◽  
Radial Vibration ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

Research indicates that single-walled carbon nanotubes have a unique coupled torsional–radial vibration as one of their fundamental modes. Determination of their vibration frequency is required for efficient use of single-walled carbon nanotube in nano-electromechanical systems. However, there is no mathematical expression for these frequencies and their dependence on single-walled carbon nanotube geometry is unknown. This article examines the effect of diameter, length, and chirality on the fundamental coupled torsional–radial vibration frequency of single-walled carbon nanotube using molecular–structural–mechanics–approach, finite element analysis, and regression analyses. Consequently, a first-ever mathematical form of this frequency is derived. The form quickly and accurately predicts these frequencies at 1.5% in-sample, and 7.2% out-sample mean absolute percentage error. single-walled carbon nanotubes’ fundamental coupled torsional–radial vibration frequency is found independent of diameter and inversely proportional to length where the proportionality constant depends on chirality. The coupling of modes and the similarity of the frequency form with cylindrical shell suggest that single-walled carbon nanotube behave like thin shells in these vibrations. A form for effective circumferential shear modulus of single-walled carbon nanotube is also derived. This modulus is found to depend only on the chirality where achiral single-walled carbon nanotubes have higher values than chiral single-walled carbon nanotubes. Proposed mathematical forms can be used for characterization of single-walled carbon nanotubes, determination of single-walled carbon nanotubes’ effective shear modulus, and tuning operational frequency of single-walled carbon nanotube-based nano-electromechanical systems.

A 300 kHz High-Frequency Underwater Transducer

2009 ◽  
Vol 79-82 ◽  
pp. 259-262
Author(s):  
Gang Wang ◽  
Lei Qin ◽  
Li Kun Wang
Keyword(s):  
High Frequency ◽  
Piezoelectric Ceramic ◽  
Ultrasonic Transducer ◽  
Piezoelectric Composite ◽  
Radial Vibration ◽  
Ceramic Tube ◽  
Acoustic Transducer ◽  
Underwater Transducer ◽  
Working Frequency ◽  
Ceramic Cylinder

A new type of piezoelectric composite ultrasonic transducer with high frequency in radial vibration is studied. A high-frequency acoustic transducer has been designed and prepared with pzt-5-type piezoelectric ceramic cylinder. When the piezoelectric ceramic cylinder vibrates along the direction of its radial direction, the working frequency is high. It is composed of a piezoelectric ceramic tube and a steel bracket which is inserted in the inner of the ceramic tube. Use the finite element method by ANSYS for analyzing the radial vibration of a piezoelectric tube. On that basis, through managing ANSYS simulation the vibration mode of transducer system is obtained, and analyzed the working frequency of transducer. According to the simulation, the high-frequency cylindrical acoustic transducer has been produced. Comparing the products and the traditional cylindrical transducers, the products haven’t only a good all-round circle directional, but it also has a high working frequency (300 kHz).

Influence of Tunnel Blasting on the Close-Spaced Tunnel

2011 ◽  
Vol 243-249 ◽  
pp. 3628-3631
Author(s):  
Yan Ming Ding ◽  
Shu Cui Cong ◽  
Ren Tao Wang ◽  
Hao Wei Li ◽  
Hai Liang Wang
Keyword(s):  
Vibration Frequency ◽  
Vertical Direction ◽  
Tangential Direction ◽  
Vibration Velocity ◽  
Radial Vibration ◽  
Maximum Value ◽  
Tunnel Blasting

According to the blasting monitoring of the main tunnel at hidden digging section of Tuandao Second Road exiting ramp in Kiaochow Bay Cross-harbor Tunnel, the paper shows the influence of vibration on the close-spaced main tunnel. Based on the monitoring results of vibration velocity and vibration frequency in the vertical, horizontal radial and tangential direction, we find that the maximum value of vibration velocity in the main tunnel appears in the range of 5-20m in the rear of the ramp corresponding work face. The magnifying effect of the vibration velocity in the rear of the work face is more obvious than the front in the horizontal radial and tangential direction, and the attenuate effect appears in the front in the vertical direction. The attenuate effect of horizontal radial vibration frequency in the main tunnel appears in the rear of ramp work face. The attenuate effect of vertical frequency in the excavated section is more obvious than the unexcavated.

The Longitudinal Vibration Analysis of the Drive Screw Under the Elastic Supports

2011 ◽  
Vol 86 ◽  
pp. 232-236
Author(s):  
Hui Duan Zhang ◽  
Jun Ling Sun
Keyword(s):  
Mode Shape ◽  
Vibration Frequency ◽  
Longitudinal Vibration ◽  
Frequency Equation ◽  
Drive System ◽  
Ball Screw ◽  
Widespread Application ◽  
Elastic Supports ◽  
Ball Screw Drive ◽  
Drive Screw

The ball screw drive system is obtained widespread application in the modern machine. Along with the improving of feeding velocity and working precision, its dynamic analysis becomes more and more important. Considering the bearing stiffness and the contact deformation between the worktable and the screw, the drive screw is seen as a bar under elastic supports at both ends and with an internal moving elastic support. Using boundary conditions and matching conditions, the longitudinal vibration frequency equation of the screw is derived and the mode shape of the screw is solved. The vibration frequency is analyzed when the worktable moves from the left to the right end of the screw. The effect of the system parameters on the natural frequency and the mode shape are studied to supply a base for designing the drive system.

scholarly journals Apparatus Developments of Ultrasonic Vibration-Assisted Microabrasive Waterjet Polishing

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Rongguo Hou ◽  
Tao Wang ◽  
Zhe Lv ◽  
Yansen Feng
Keyword(s):  
Ultrasonic Vibration ◽  
Vibration Frequency ◽  
Ultrasonic Transducer ◽  
Displacement Sensor ◽  
Experimental Result ◽  
Abrasive Waterjet ◽  
Ansys Software ◽  
Axial Mode ◽  
Work Requirements ◽  
Material Volume

The experiment apparatus of ultrasonic vibration-assisted microabrasive waterjet polishing is developed. The simulation model of ultrasonic nozzle is analyzed with the help of ANSYS software. The simulation result shows that the ultrasonic vibration leads to a good result that the maximum frequency with the value of 20908 Hz is obtained at the outlet of ultrasonic nozzle, and the vibration type is axial mode. Then the vibration frequency and amplitude of the developed experiment apparatus are tested using the ultrasonic transducer impedance analyzer and the laser displacement sensor. The measured result indicates that the vibration frequency is 19099 Hz and the amplitude is 22 μm, which means the experiment apparatus is well developed and satisfies the work requirements. The verifying experimental result shows that the ultrasonic vibration helps to enhance the machining ability of the abrasive waterjet, and the removal material volume and erosion depth are increased obviously.

An estimation algorithm for tire wear using intelligent tire concept

2021 ◽  
pp. 095440702199948
Author(s):  
Bo Li ◽  
Zhenqiang Quan ◽  
Shaoyi Bei ◽  
Lanchun Zhang ◽  
Haijian Mao
Keyword(s):  
Finite Element ◽  
Vibration Frequency ◽  
Hot Spot ◽  
Estimation Algorithm ◽  
Average Error ◽  
Radial Vibration ◽  
Inflation Pressure ◽  
Speed Increase ◽  
Pressure Load ◽  
Tire Wear

Real-time monitoring of tire wear is a hot spot in the research of automobile tires, and it has a great significance to ensure the safety of automobile driving. A tire wear estimation algorithm was proposed based on the relevant knowledge of finite element modal analysis theory and the concept of intelligent tires in this paper. First, the finite element model of the 205/55/R16 radial tire was established through the ABAQUS software, then the finite element method was used to simulate and analyze the influence of tire inflation pressure, load, tire wear, and speed on the tire radial vibration frequency. The simulation results show that inflation pressure and tire wear shows an upward trend with the increase of the vibration frequency of each order in the tire radial direction, and load and speed increase with what increases of tire radial increase frequency. Based on simulation analysis data, combined with the relationship between tire inflation pressure, load, tire wear, speed, and radial vibration frequency, a neural network-based tire wear estimation algorithm is proposed. The estimate results show that the predicted wear curve and the actual wear curve have a higher degree of overlap, the average error is 0.0874 mm, and the average error percentage is 2.78%, Thus, a feasible tire wear estimation algorithm is proposed.

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