A design approach for longitudinal–torsional ultrasonic transducers

Al-Budairi, Hassan; Lucas, Margaret; Harkness, Patrick

doi:10.1016/j.sna.2013.04.024

Cited by 116 publications

(54 citation statements)

References 13 publications

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“…Furthermore, as two orthogonal vibrations with the same resonance frequency and a temporal phase shift of 90°can also form elliptical movement, combination of vibrations, such as longitudinal and bending vibrations [11][12][13][14], longitudinal and torsional vibrations [15][16][17], two orthogonal longitudinal vibrations [18][19][20][21][22][23][24], and two orthogonal bending vibrations [25][26][27][28][29], can be utilized for constructing piezoelectric motors. Recently, a new principle for linear driving was proposed by Lu et al, in which driving principle using ultrasonic vibration induced friction reduction was proposed and investigated; and the two exciting frequencies of the driving and friction reduction voltages need not to be the same [30].…”

Section: Introductionmentioning

confidence: 99%

A T-shape linear piezoelectric motor with single foot

et al. 2015

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Section: Introductionmentioning

confidence: 99%

A T-shape linear piezoelectric motor with single foot

et al. 2015

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“…KLM and Mason's models are used to design the transducer by simplifying the wave equation solution in the model. This is possible thanks to an equivalent electrical network representation used for calculating electromechanical parameters [17,23,24]. Thus, a Langevin-type transducer can be modeled under the following assumptions:…”

Section: Langevin's Equationmentioning

confidence: 99%

Guidelines for the design of efficient sono-microreactors

Navarro-Brull¹,

Poveda-Martínez²,

Ruiz‐Femenia

et al. 2014

Green Processing and Synthesis

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Possible drawbacks of microreactors are inefficient reactant mixing and the clogging of microchannels when solid-forming reactions are carried out or solid (catalysts) suspensions are used. Ultrasonic irradiation has been successfully implemented for solving these problems in microreactor configurations ranging from capillaries immersed in ultrasonic baths to devices with miniaturized piezoelectric transducers. Moving forward in process intensification and sustainable development, the acoustic energy implementation requires a strategy to optimize the microreactor from an ultrasound viewpoint during its design. In this work, we present a simple analytical model that can be used as a guide to achieving a proper acoustic design of stacked microreactors. An example of this methodology was demonstrated through finite element analysis and it was compared with an experimental study found in the literature.

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“…Longitudinal vibration of bars could be easily found in ultrasonic transducers, motors and machines or in measuring systems to determine material properties [2][3][4][5]. Therefore, determination of optimal eigen-frequencies (or eigen-values) as well as configurations will provide useful solutions in practical applications of bars in longitudinal vibration.…”

Section: Introductionmentioning

confidence: 99%

Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass

Bui

Trần

2017

Vietnam J. Mech.

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Abstract. In this paper, the problem of optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle (PMP) considering the influence of concentrated mass is presented. The necessary optimality condition when simultaneously maximizing system's eigen frequencies and minimizing system's weight considering the influence of concentrated mass is established by using Maier objective functional in order to control the final state of the objective functional. By considering eigen frequencies as state variables, the analogy coefficient k in the necessary optimality condition is explicitly determined. Numerical results obtained in this paper include: (1) the bar's optimal configurations as well as frequency responses in different cases of objective functions; (2) the Pareto front for the system's first eigen frequency and weight; (3) the influence of concentrated mass on the bar's optimal configuration.

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A design approach for longitudinal–torsional ultrasonic transducers

Cited by 116 publications

References 13 publications

A T-shape linear piezoelectric motor with single foot

A T-shape linear piezoelectric motor with single foot

Guidelines for the design of efficient sono-microreactors

Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass

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