Modeling of coupled longitudinal and bending vibrations in a sandwich type piezoelectric transducer utilizing the transfer matrix method

Wang, Liang; Hofmann, Viktor; Bai, Fushi; Jin, Jiamei; Twiefel, Jens

doi:10.1016/j.ymssp.2018.02.022

Cited by 68 publications

(23 citation statements)

References 30 publications

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“…Longitudinal vibration is the major vibration stimulated in the sandwich composite beam, therefore, the transfer matrix model of each discrete element in this beam must first be developed. In our previous work [23], [25][26], the longitudinal vibration transfer matrix model of the elastic beam has been presented as:…”

Section: Longitudinal Vibration Modellingmentioning

confidence: 99%

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A Novel Traveling Wave Sandwich Piezoelectric Transducer With Single Phase Drive: Theoretical Modeling , Experimental Validation and Application Investigation

Wang

Bai

Hofmann

et al. 2020

Preprint

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Most of traditional traveling wave piezoelectric transducers are driven by two phase different excitation signals, leading to a complex control system and seriously limiting their applications in industry. To overcome these issues, a novel traveling wave sandwich piezoelectric transducer with a single-phase drive is proposed in this study. Traveling waves are produced in two driving rings of the transducer while the longitudinal vibration is excited in its sandwich composite beam, due to the coupling property of the combined structure. This results in the production of elliptical motions in the two driving rings to achieve the drive function. An analytical model is firstly developed using the transfer matrix method to analyze the dynamic behavior of the proposed transducer. Its vibration characteristics are measured and compared with computational results to validate the effectiveness of the proposed transfer matrix model. Besides, the driving concept of the transducer is investigated by computing the motion trajectory of surface points of the driving ring and the quality of traveling wave of the driving ring. Additionally, application example investigations on the driving effect of the proposed transducer are carried out by constructing and assembling a tracked mobile system. Experimental results indicated that 1) the assembled tracked mobile system moved in the driving frequency of 19410 Hz corresponding to its maximum mean velocity through frequency sensitivity experiments; 2) motion characteristic and traction performance measurements of the system prototype presented its maximum mean velocity with 59 mm/s and its maximum stalling traction force with 1.65 N, at the excitation voltage of 500 V RMS . These experimental results demonstrate the feasibility of the proposed traveling wave sandwich piezoelectric transducer.

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Section: Longitudinal Vibration Modellingmentioning

confidence: 99%

“…Due to the fact that each group of PZT elements operates at their d33 vibration mode to produce the longitudinal vibration, its transfer matrix model (see in figure 4) must simultaneously include the mechanical and electrical coupling properties [23][24][25][26], as written:…”

Section: Longitudinal Vibration Modellingmentioning

confidence: 99%

A Novel Traveling Wave Sandwich Piezoelectric Transducer With Single Phase Drive: Theoretical Modeling , Experimental Validation and Application Investigation

Wang

Bai

Hofmann

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

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“…Thus, USMs are well suited for applications requiring high degree miniaturization combined with high speed and load abilities [21]. Some authors report on USMs used in extreme environments such as: the minor planet and deep sea exploration [22], [23]. In general, TWUM is the most widely known representative of ultrasonic motors [24], [25].…”

Section: Introductionmentioning

confidence: 99%

Design Evolution of the Ultrasonic Piezoelectric Motor Using Three Rotating Mode Actuators

et al. 2021

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The development process and experimental investigation of the multicell piezoelectric motor is presented in this paper. The proposed design consists of three individual cells integrated into the stator, double rotor, and a preload system. Those elements are combined into a symmetrical structure of the motor. The two new prototypes have been designed, simulated and tested. Finite element numerical analysis is carried out to obtain optimal dimensions of the individual cell in terms of generated vibrations and resonant frequencies of the structure. The results of the numerical analysis are compared with analytical calculations based on the equivalent circuit model. The stator of the motor was manufactured using a three-dimensional (3-D) printer using alumide material. Finally, the experimental tests were conducted and presented. Analytical, numerical and experimental results are in satisfactory agreement. Two new prototypes of the multicell piezoelectric motor exhibit torque-speed characteristics similar to the original while being cheaper and easier to manufacture.INDEX TERMS piezoelectric actuator, piezoelectric ultrasonic motor, piezoelectricity, travelling wave motor, rotary motor.

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“…Ultrasonic motors (USMs) convert electrical energy to mechanical energy on the basis of inverse piezoelectric effect and achieve actuation by frictional force [1][2][3]. Different from electromagnetic motors, they possess the merits of quick response, self-locking at the power-off state, and absence of electromagnetic radiation [4][5][6]. In particular, linear USMs are potentially applicable to some electromechanical system (e.g., precision instruments and optical devices) [6][7][8][9] as some of them have satisfactorily large outputs (e.g., the maximal thrust force is ~50 N and the maximal output power is >20 W) [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…For example, Kurosawa et al [8] arranged two Langevin-type transducers in orthogonal directions and used the elliptical motions on connecting points of two transducers to achieve actuation; this method, however, limits the number of driving feet, resulting in low mechanical outputs [12]. Third, some motors are achieved by combining B/L vibrations [5,9,22]. Taking Yun et al's motor [9] as a typical example, its thrust force density reaches 202 N/kg, relatively high among linear motors with satisfactory performance.…”

Section: Introductionmentioning

confidence: 99%

A Traveling-Wave Linear Ultrasonic Motor Driven by Two Torsional Vibrations: Design, Fabrication, and Performance Evaluation

Niu

Cao

et al. 2020

IEEE Access

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In this study, we design and fabricate a tank-track-shaped stator working in two torsional modes to form a traveling-wave (TW) linear ultrasonic motor (USM). The stator comprises two torsional transducers and two kidney-shaped vibrating bodies. When voltages with a certain phase are applied to the transducers, two in-phase TWs are excited on the vibrating bodies to frictionally drive the slider. Here, the torsional vibration guarantees strong electromechanical coupling, and meanwhile, the tank-track shape ensures plural driving points and low weight; these features may facilitate realizing high thrust force density and high power density of linear motors. To examine the feasibility, first, we constructed a stator prototype 116 mm in length, 91 mm in width, and 32 mm in thickness and explored its vibration properties. The minimal standing wave (SW) ratio reaches 1.21 and the small SW components are desirable for TW motors. Then, we measured the load characteristics and found that, at the working frequency of 54.34 kHz and the phase shift of −110°, the maximal thrust force and maximal output power were 96.1 N and 27.8 W, respectively. Moreover, the thrust force density and power density reached respectively 234.1 N/kg and 67.8 W/kg, relatively high compared to the values of most conventional linear motors. This study verifies the feasibility of our proposal and paves a new way of designing powerful linear USMs. INDEX TERMS Linear ultrasonic motor, torsional vibration, traveling wave, thrust force density, power density.

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Modeling of coupled longitudinal and bending vibrations in a sandwich type piezoelectric transducer utilizing the transfer matrix method

Cited by 68 publications

References 30 publications

A Novel Traveling Wave Sandwich Piezoelectric Transducer With Single Phase Drive: Theoretical Modeling , Experimental Validation and Application Investigation

A Novel Traveling Wave Sandwich Piezoelectric Transducer With Single Phase Drive: Theoretical Modeling , Experimental Validation and Application Investigation

Design Evolution of the Ultrasonic Piezoelectric Motor Using Three Rotating Mode Actuators

A Traveling-Wave Linear Ultrasonic Motor Driven by Two Torsional Vibrations: Design, Fabrication, and Performance Evaluation

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