[논문]Characterizing Barium Titanate Piezoelectric Material Using the Finite Element Method

Butt, Zubair; Rahman, Shafiq Ur; Pasha, Riffat Asim; Mehmood, Shahid; Abbas, Saqlain; Elahi, Hassan

doi:10.4313/teem.2017.18.3.163

Characterizing Barium Titanate Piezoelectric Material Using the Finite Element Method 원문보기

Transactions on electrical and electronic materials, v.18 no.3, 2017년, pp.163 - 168

Butt, Zubair (Department of Mechatronics Engineering, Chakwal Campus, University of Engineering and Technology Taxila) , Rahman, Shafiq Ur (Department of Mechatronics Engineering, Chakwal Campus, University of Engineering and Technology Taxila) , Pasha, Riffat Asim (Department of Mechanical Engineering, University of Engineering and Technology Taxila) , Mehmood, Shahid (Department of Mechanical Engineering, University of Engineering and Technology Taxila) , Abbas, Saqlain (Department of Mechanical Engineering, University of Engineering and Technology Taxila) , Elahi, Hassan (Department of Aerospace Engineering, La Sapienza University of Rome)

Abstract ▼ AI-Helper

The aim of the current research was to develop and present an effective methodology for simulating and analyzing the electrical and structural properties of piezoelectric material. The finite element method has been used to make precise numerical models when dielectric, piezoelectric and mechanical properties are known. The static and dynamic responses of circular ring-shaped barium titanate piezoelectric material have been investigated using the commercially available finite element software ABAQUS/CAE. To gain insight into the crystal morphology and to evaluate the purity of the material, a microscopic study was conducted using a scanning electron microscope and energy dispersive x-ray analysis. It is found that the maximum electrical potential of 6.43 V is obtained at a resonance frequency of 35 Hz by increasing the vibrating load. The results were then compared with the experimentally predicted data and the results agreed with each other.

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문제 정의

Our aim in this study was to investigate whether 3D electromechanical coupled-field FEA could be used to accurately predict the behavior of piezoelectric material. In this paper, we clarify the details of how we constructed a finite element model for piezoelectric material.
piezoelectric material. Our objective was to find the most efficient, reliable, and precise FE package. With that goal, we used commercially available finite element software, ABAQUS, to carry out the structural-electrical analysis of this material.
The aim of this study was to determine the actuator’s peak voltage over a range of frequencies using FE analysis.

가설 설정

Our aim in this study was to investigate whether 3D electromechanical coupled-field FEA could be used to accurately predict the behavior of piezoelectric material. In this paper, we clarify the details of how we constructed a finite element model for piezoelectric material. We investigated the voltage response of circular ring-shaped barium titanate (BaTiO₃) piezoelectric material under static and dynamic loading using the commercially available FE software ABAQUS^TM Standard.

제안 방법

To measure the current through the ring, we stored in a capacitor a 1 kΩ resistor connected in series and the generated electrical potential. To avoid any noise or other adjacent environment effects, we placed the experimental setup on an insulated bench and monitored the dynamic and static response of the piezoelectric material on a digital oscilloscope (GPS-1072B).
The top surface was made at zero charge/symmetry, and the bottom surface of the material was grounded. We conducted general static and dynamic analyses while applying a uniformly distributed load at the upper surface of the material, and we obtained the corresponding electrical potential (EPOT) and compared it with the experimental data. Fig.
Our objective was to find the most efficient, reliable, and precise FE package. With that goal, we used commercially available finite element software, ABAQUS, to carry out the structural-electrical analysis of this material. From the analysis, we reached the following conclusions:

대상 데이터

We used a full Newton integration scheme in ABAQUS to design the model geometry of the material. The final meshed model of the BaTiO₃ material consisted of 11672 hexahedral C3D8E elements and 14130 nodes. We applied a constant load at the upper surface of the piezoelectric material along the polarization directions.
We develop d a three-di ensional (3D), deformable, ring-shaped finite element model for BaTiO₃ piezoelectric materials in ABAQUS/CAE software to analyze the effects of static and dynamic loadings. The model had a thickness of 4 mm, with inner and outer diameters of 12 mm and 23 mm, respectively, similar to those of the specimens we used during the experimentation. The aim of this study was to determine the actuator’s peak voltage over a range of frequencies using FE analysis.
0 kV. The specimen was electrically poled in the thickness direction and had inner and outer radiuses of 6 mm and 11.5 mm, respectively. The material has a perovskite tetragonal structure, and we set the scanning interval to 16.

이론/모형

We investigated the voltage response of circular ring-shaped barium titanate (BaTiO₃) piezoelectric material under static and dynamic loading using the commercially available FE software ABAQUS^TM Standard. In order to validate the model, we experimentally measured the voltage response of the piezoelectric material and compared it with that predicted by the FE method.
Allik presented the first numerical simulation of piezoelectric material in 1970 [10]. R. Lerch performed time domain modeling and transient analysis of piezoelectric material under mechanical loading using the finite element method [11]. Der Ho Wu studied the harmonic response and resonance frequency of a piezoelectric plate using coupled-field FEA [12].
The aim of this study was to determine the actuator’s peak voltage over a range of frequencies using FE analysis. We used a full Newton integration scheme in ABAQUS to design the model geometry of the material. The final meshed model of the BaTiO₃ material consisted of 11672 hexahedral C3D8E elements and 14130 nodes.

성능/효과

2. The piezoelectric energy harvester showed increased polarization rates under higher vibrating load conditions and hence increased electric potential. As a result, we observed linear behavior, and the material showed optimum performance under a static load with an error of less than 7% between the experimental and simulation values.
The main outcome of this analysis was that the V increased with increased loading, which shows that the material’s efficiency increased nearly linearly when we increased the loads.

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