The finite element analysis of the vibration characteristics of piezoelectric discs

Guo, Ningqun; Cawley, P.; Hitchings, D.

doi:10.1016/0022-460x(92)90454-6

Cited by 135 publications

(76 citation statements)

References 19 publications

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“…Sweeping through frequencies close to the expected through-thickness resonance of the disk, a range of radial and flexural modes appear, 26 which allowed us to visualize the vibrational modes of the transducer (Fig. 2).…”

mentioning

confidence: 99%

Three-dimensional ultrasonic trapping of micro-particles in water with a simple and compact two-element transducer

Franklin

Marzo

Malkin

et al. 2017

Applied Physics Letters

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We report a simple and compact piezoelectric transducer capable of stably trapping single and multiple micro-particles in water. A 3D-printed Fresnel lens is bonded to a two-element kerfless piezoceramic disk and actuated in a split-piston mode to produce an acoustic radiation force trap that is stable in three-dimensions. Polystyrene micro-particles in the Rayleigh regime (radius λ/14 to λ/7) are trapped at the focus of the lens (F# = 0.4) and manipulated in two-dimensions on an acoustically transparent membrane with a peak trap stiffness of 0.43 mN/m. Clusters of Rayleigh particles are also trapped and manipulated in three-dimensions, suspended in water against gravity. This transducer represents a significant simplification over previous acoustic devices used for micro-particle manipulation in liquids as it operates at relatively low frequency (688 kHz) and only requires a single electrical drive signal. This simplified device has potential for widespread use in applications such as micro-scale manufacturing and handling of cells or drug capsules in biomedical assays.

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mentioning

confidence: 99%

Three-dimensional ultrasonic trapping of micro-particles in water with a simple and compact two-element transducer

Franklin

Marzo

Malkin

et al. 2017

Applied Physics Letters

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“…(1a), relates the boundary condition natural(ϕ) = 0 to the continuity of the E-field across a boundary. At the origin (0,0), a single point value(u r , u z ) was set equal to zero to allow only axisymmetric extensional mode vibrations [10]. The electric potential ϕ was set to zero at Γ 0 and to the value of the exciting voltage at boundary Γ 2 .…”

Section: )mentioning

confidence: 99%

“…Radial, edge, length expander, thickness shear, and thickness extensional modes were identified. FEM-calculated and measured electric impedance (henceforth called impedance) frequency spectra of PZT5A samples with radial (R), edge (E), thickness shear (TS), thickness extensional (TE), and highfrequency radial vibrational modes have been reported [10].…”

Section: Introductionmentioning

confidence: 99%

A FEM-based method using harmonic overtones to determine the effective elastic, dielectric, and piezoelectric parameters of freely vibrating thick piezoelectric disks

Jonsson

Andersson

Lindahl

2013

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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To gain an understanding of the electro-elastic properties of tactile piezoelectric sensors used in the characterization of soft tissue, the frequency-dependent electric impedance response of thick piezoelectric disks has been calculated using finite element modeling. To fit the calculated to the measured response, a new method was developed using harmonic overtones for tuning of the calculated effective elastic, piezoelectric, and dielectric parameters. To validate the results, the impedance responses of 10 piezoelectric disks with diameter to thickness ratios of 20, 6, and 2 have been measured from 10 kHz to 5 MHz. A two-dimensional, general purpose finite element partial differential equation solver with adaptive meshing capability run in the frequency-stepped mode, was used. The equations and boundary conditions used by the solver are presented. Calculated and measured impedance responses are presented, and resonance frequencies have been compared in detail. The comparison shows excellent agreement, with average relative differences in frequency of 0.27%, 0.19%, and 0.54% for the samples with diameter to thickness ratios of 20, 6, and 2, respectively. The method of tuning the effective elastic, piezoelectric and dielectric parameters is an important step towards a finite element model that describes the properties of tactile sensors in detail.

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“…In fact, these frequencies correspond to the antiresonance and resonance of the transducer electric impedance, defined as the ratio between the voltage and electrical current in the transducer electrodes [5,6]. Using FEM, these frequencies can be obtained by solving two eigenvalue problems generated by two different electrical boundary conditions in equation (1), considering F = 0 [7]. For the resonance frequency we consider that the electrodes are short-circuited, that is, the electrical potential degrees of freedom (DOFs) in both electrodes are set to zero (Φ e = 0) in equation (1) (potential boundary conditions).…”

Section: Characteristic Frequenciesmentioning

confidence: 99%

Design of piezoelectric transducers using topology optimization

Silva

Kikuchi

1999

Smart Mater. Struct.

148

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Abstract. Among other applications piezoelectric transducers are widely used for acoustic wave generation and as resonators. These applications require goals in the transducer design such as high electromechanical energy conversion for a certain transducer vibration mode, specified resonance frequencies and narrowband or broadband response. In this work, we have proposed a method for designing piezoelectric transducers that tries to obtain these characteristics, based upon topology optimization techniques and the finite element method (FEM). This method consists of finding the distribution of the material and void phases in the design domain that optimizes a defined objective function. The optimized solution is obtained using sequential linear programming (SLP). Considering acoustic wave generation and resonator applications, three kinds of objective function were defined: maximize the energy conversion for a specific mode or a set of modes; design a transducer with specified frequencies and design a transducer with narrowband or broadband response. Although only two-dimensional plane strain transducer topologies have been considered to illustrate the implementation of the method, it can be extended to three-dimensional topologies. Transducer designs were obtained that conform to the desired design requirements and have better performance characteristics than other common designs.

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The finite element analysis of the vibration characteristics of piezoelectric discs

Cited by 135 publications

References 19 publications

Three-dimensional ultrasonic trapping of micro-particles in water with a simple and compact two-element transducer

Three-dimensional ultrasonic trapping of micro-particles in water with a simple and compact two-element transducer

A FEM-based method using harmonic overtones to determine the effective elastic, dielectric, and piezoelectric parameters of freely vibrating thick piezoelectric disks

Design of piezoelectric transducers using topology optimization

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