Identification of elastic, dielectric, and piezoelectric constants in piezoceramic disks

Pérez, Nicolás; Andrade, Marco A. B.; Buiochi, Flávio; Adamowski, Júlio C.

doi:10.1109/tuffc.2010.1751

Cited by 58 publications

(56 citation statements)

References 16 publications

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“…In the sensitivity investigation, the sensitivity ratios were determined by varying one parameter at a time by ±2.5% while keeping the other parameters constant. The parameters have almost linear behavior for a ±20% variation, except in the region near the TE 1 resonance frequency [14].…”

Section: ) Parameter Sensitivity Ratiosmentioning

confidence: 95%

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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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Section: ) Parameter Sensitivity Ratiosmentioning

confidence: 95%

“…Using a four step method: experimental measurements, identification of vibration modes and their sensitivity to material constants, a preliminary identification algorithm, and final refinement of material constants using an optimization algorithm, the piezoelectric constants were determined [14].…”

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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“…The sample holder and the temperature control were specially designed for this application. The 16 • C corresponds to room temperature, after that a 5 • C step was used starting from 35 • C up to 105 • C, since in the first interval (16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30)(31)(32)(33)(34)(35) • C) the variation is irrelevant to the aim of the work.…”

Section: Methodsmentioning

confidence: 99%

“…After performing a convergence analysis, the element size is fixed in 10 µm, giving 40 elements for one wave length in the thickness mode frequency. Additional details about the implementation of the methodology and the FEM code are in the work of Perez et al [6,21].This is suitable for this case when we are looking for the simultaneous evolution of the parameters as a function of the temperature including the coupled modes. There are different ways to express the constitutive equations, here we use the method adopted by the IEEE standard [5].…”

Section: Methodsmentioning

confidence: 99%

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

et al. 2018

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(Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 dense ceramics were obtained from autocombustion sol-gel synthesized nanopowders and sintered at 1050 • C for 1-2 h for the study of the electromechanical anisotropy. Measurement of the complex impedance spectrum was carried out on thin ceramic disks, thickness-poled, as a function of the temperature from 16 • C up to the vanishing of the electromechanical resonances at the ferroelectric to relaxor transition near 100 • C. The spectrum comprises the fundamental radial extensional mode and three overtones of this, together with the fundamental thickness extensional mode, coupled with other complex modes. Thermal evolution of the spectrum shows anisotropic behavior. Piezoelectric, elastic, and dielectric material coefficients, including all losses, were determined from iterative analysis of the complex impedance curves at the planar, thickness, and shear virtually monomodal resonances of disks and shear plates, thickness-poled. d 33 was measured quasi-statically at 100 Hz. This set of data was used as the initial condition for the optimization of the numerical calculation by finite elements of the full spectrum of the disk, from 100 kHz to 1.9 MHz, to determine the thermal evolution of the material coefficients. An appropriate measurement strategy to study electromechanical anisotropy of piezoelectric ceramics has been developed.

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“…[1][2][3][4][5] Theoretical and experimental research on the influence of multiple piezoelectric effects and the physical parameters (dielectric coefficient, equivalent capacity, energy conversion and piezoelectric coefficient) has shown many achievements. 6,7 There are several expositions of the nonlinearity and hysteresis of piezoelectric actuators. [8][9][10][11] There is little theoretical and experimental research on the influence of multiple piezoelectric effects on the physical parameters of piezoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental research on the influence of multiple piezoelectric effects on physical parameters of piezoelectric actuator

et al. 2015

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Compared with the traditional actuator of machinery and electricity, the piezoelectric actuator has the advantages of a compact structure, small volume, no mechanical friction, athermancy and no electromagnetic interference. Therefore, it has high application value in the fields of MEMS, bioengineering, medical science and so on. This article draws conclusions from the influence of multiple piezoelectric effects on the physical parameters (dielectric coefficient, equivalent capacity, energy conversion and piezoelectric coefficient) of piezoelectric actuators. These data from theoretical and experimental research show the following: (1) The rate between the dielectric coefficient of piezoelectric in mechanical freedom and clamping is obtained from the secondary direct piezoelectric effect, which enhances the dielectric property, increases the dielectric coefficient and decreases the coefficient of dielectric isolation; (2) Under external field, En(ex)=E1, exterior stress T = 0, that is to say, under the boundary condition of mechanical freedom, piezoelectric can store electric energy and elasticity, which obtains power density, elastic density and an electromechanical coupling factor; (3) According to the piezoelectric strain Si(1), piezoelectric displacement Dm(2) and piezoelectric strain Si(3) of multiple piezoelectric effects, when the dielectric coefficient of the first converse piezoelectric effect ε33 is 1326 and the dielectric coefficient of the secondary direct piezoelectric effect increases to 3336, the dielectric coefficient of the ceramic chip increases. When the piezoelectric coefficient of the first converse piezoelectric effect d33 is 595 and the piezoelectric coefficient of the secondary direct piezoelectric effect decreases to 240, the piezoelectric coefficient of the ceramic chip will decrease. It is of major significance both in the applications and in basic theory to research the influence of multiple piezoelectric effects on the physical parameters of piezoelectric actuators. On the one hand, this can further increase the control precision of piezoelectric actuators. On the other hand, it can be applied to research on the physical parameters and self-sensing actuators, like piezoelectric quartz and piezoelectric ceramic self-sensing actuators, which will be of great service for MEMS.

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Identification of elastic, dielectric, and piezoelectric constants in piezoceramic disks

Cited by 58 publications

References 16 publications

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

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

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

Theoretical and experimental research on the influence of multiple piezoelectric effects on physical parameters of piezoelectric actuator

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