KR20170024762A - A method for analyzing the vibration characteristics of piezoelectric energy harvester of unimorph type - Google Patents
A method for analyzing the vibration characteristics of piezoelectric energy harvester of unimorph type Download PDFInfo
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- KR20170024762A KR20170024762A KR1020150120177A KR20150120177A KR20170024762A KR 20170024762 A KR20170024762 A KR 20170024762A KR 1020150120177 A KR1020150120177 A KR 1020150120177A KR 20150120177 A KR20150120177 A KR 20150120177A KR 20170024762 A KR20170024762 A KR 20170024762A
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- Prior art keywords
- energy harvester
- piezoelectric energy
- piezoelectric
- vibration
- equation
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- 238000000034 method Methods 0.000 title abstract description 4
- 238000005452 bending Methods 0.000 claims abstract description 10
- 239000002184 metal Substances 0.000 claims abstract description 9
- 230000007935 neutral effect Effects 0.000 claims abstract description 9
- 230000001808 coupling effect Effects 0.000 claims abstract description 3
- 239000000463 material Substances 0.000 claims description 11
- LLZRNZOLAXHGLL-UHFFFAOYSA-J titanic acid Chemical compound O[Ti](O)(O)O LLZRNZOLAXHGLL-UHFFFAOYSA-J 0.000 claims 1
- 238000004458 analytical method Methods 0.000 abstract description 23
- RTAQQCXQSZGOHL-UHFFFAOYSA-N Titanium Chemical compound [Ti] RTAQQCXQSZGOHL-UHFFFAOYSA-N 0.000 abstract description 3
- 230000000694 effects Effects 0.000 description 4
- 239000000919 ceramic Substances 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 229910052451 lead zirconate titanate Inorganic materials 0.000 description 3
- 241001465754 Metazoa Species 0.000 description 2
- 230000014509 gene expression Effects 0.000 description 2
- 238000010248 power generation Methods 0.000 description 2
- 241001124569 Lycaenidae Species 0.000 description 1
- 229910010293 ceramic material Inorganic materials 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 238000003306 harvesting Methods 0.000 description 1
- HFGPZNIAWCZYJU-UHFFFAOYSA-N lead zirconate titanate Chemical compound [O-2].[O-2].[O-2].[O-2].[O-2].[Ti+4].[Zr+4].[Pb+2] HFGPZNIAWCZYJU-UHFFFAOYSA-N 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000000704 physical effect Effects 0.000 description 1
- 238000012916 structural analysis Methods 0.000 description 1
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Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
- G01H17/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves, not provided for in the preceding groups
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02N—ELECTRIC MACHINES NOT OTHERWISE PROVIDED FOR
- H02N2/00—Electric machines in general using piezoelectric effect, electrostriction or magnetostriction
- H02N2/18—Electric machines in general using piezoelectric effect, electrostriction or magnetostriction producing electrical output from mechanical input, e.g. generators
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
Abstract
A method for vibration analysis of a piezoelectric energy harvester, comprising: modeling a piezoelectric energy harvester; Calculating an equation of motion related to a natural vibration characteristic including a coupling effect between a tensile vibration and a bending vibration on the basis of the Timoshenko beam theory for the piezoelectric energy harvester; And calculating a natural frequency of a center axis, a mass central axis and a neutral axis of the piezoelectric energy harvester based on the equation of motion, wherein the piezoelectric energy harvester includes a metal auxiliary member, And a piezoelectric layer formed on one surface of the piezoelectric layer, wherein the piezoelectric layer is formed of zirconate titanate.
Description
One embodiment of the present invention relates to a vibration analysis method of a piezoelectric energy harvester, and more particularly, to a vibration analysis method of a piezoelectric energy harvest, which can be applied to a structural analysis field utilizing CAE (Computer Aided Engineering) Applicable to products based on piezoelectric energy harvesters such as power generation systems, wearable generators, remote sensors, animal tracking devices. Before the energy harvester is actually designed, the natural vibration characteristics can be predicted in advance by using the analytical model at the conceptual design stage.
The conventional model for the piezoelectric energy harvester is based on the Euler Bernoulli beam theory. The Euler-Bernoulli beam theory results in inaccurate vibration analysis when applied to piezoelectric materials of short length. In this case, the criterion for the accuracy judgment is that the ratio between the length and the thickness of the material is usually set at 20: 1. Therefore, as the ratio becomes smaller than 20, the difference of the analysis results gradually increases.
Also, the conventional model is concentrated on the analysis of the material of the bimorph type. Generally, the cantilever type piezoelectric energy harvester is classified into two types. One type is a bimorph type in which a ceramic piezoelectric element is bonded to both sides of a metal auxiliary material, and the other is a ceramic piezoelectric element in an upper surface type Of the Unimorph type. Unimorph type bonded to one side has asymmetric material distribution, unlike Bimorph type which has symmetrical material distribution in cross section in the thickness direction because it is bonded to both sides. The conventional vibration analysis model can not reflect the tensile-bending ductility effect caused by this asymmetry.
An embodiment of the present invention is to provide a vibration analysis method of a piezoelectric energy harvester which can obtain a relatively accurate analysis result even when the ratio between the length of the material and the thickness is small.
One embodiment of the present invention is to provide a vibration analysis method of a piezoelectric energy harvester that can reflect a ductile effect between a tensile vibration and a bending vibration.
A method for vibration analysis of a piezoelectric energy harvester according to an embodiment of the present invention includes: modeling a piezoelectric energy harvester; Calculating an equation of motion related to a natural vibration characteristic including a coupling effect between a tensile vibration and a bending vibration on the basis of the Timoshenko beam theory for the piezoelectric energy harvester; And calculating a natural frequency of a center axis, a central axis of mass, and a neutral axis of the piezoelectric energy harvester based on the equation of motion, wherein the piezoelectric energy harvester has a metal auxiliary member whose one end is fixed to the base, And a piezoelectric layer formed on one surface of the layer, wherein the piezoelectric layer is formed of zirconate titanate.
According to one embodiment of the present invention, by using a piezoelectric energy harvester in which a piezoelectric layer formed of zirconate titanate is used, accurate results can be obtained irrespective of the ratio between the length and thickness of the material, and tensile vibration and bending vibration It is possible to provide a vibration analysis method of a piezoelectric energy harvester which can reflect the ductility effect between the piezoelectric energy harvester.
1 is a flowchart illustrating a vibration analysis method of a unimorph type piezoelectric energy harvester according to an embodiment of the present invention.
2 is a view illustrating a shape of a piezoelectric energy harvester vibration analysis model according to an embodiment of the present invention.
3 is a view for explaining a vibration analysis method of a piezoelectric energy harvester according to an embodiment of the present invention.
4 is a diagram illustrating an example of natural frequency results predicted through a proposed analytical model according to an embodiment of the present invention.
While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It is to be understood, however, that the invention is not to be limited to the specific embodiments, but includes all changes, equivalents, and alternatives falling within the spirit and scope of the invention. Like reference numerals are used for like elements in describing each drawing.
The terms first, second, A, B, etc. may be used to describe various elements, but the elements should not be limited by the terms. The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as a second component, and similarly, the second component may also be referred to as a first component. And / or < / RTI > includes any combination of a plurality of related listed items or any of a plurality of related listed items.
It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, . On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between.
The terminology used in this application is used only to describe a specific embodiment and is not intended to limit the invention. The singular expressions include plural expressions unless the context clearly dictates otherwise. In the present application, the terms "comprises" or "having" and the like are used to specify that there is a feature, a number, a step, an operation, an element, a component or a combination thereof described in the specification, But do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, or combinations thereof.
Unless defined otherwise, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Terms such as those defined in commonly used dictionaries are to be interpreted as having a meaning consistent with the contextual meaning of the related art and are to be interpreted as either ideal or overly formal in the sense of the present application Do not.
Hereinafter, preferred embodiments according to the present invention will be described in detail with reference to the accompanying drawings.
1 is a flowchart illustrating a vibration analysis method of a unimorph type piezoelectric energy harvester according to an embodiment of the present invention.
In step 110, the piezoelectric energy harvester is modeled.
A piezoelectric energy harvester according to an embodiment of the present invention will be described below with reference to Fig.
In step 120, the kinetic equations relating to the natural vibration characteristics including the ductility effect between the tensile vibration and the bending vibration are calculated based on the Timothy Senko beam theory for the piezoelectric energy harvester.
It can be applied to products based on piezoelectric energy harvester such as road power generation system, wearable generator, remote sensor, animal tracking device. Before the energy harvester is actually designed, the natural vibration characteristics can be predicted in advance by using the analytical model at the conceptual design stage.
In step 130, the natural frequency of the center axis, the central axis of mass and the neutral axis of the piezoelectric energy harvester is calculated based on the equation of motion.
The vibration analysis method of the piezoelectric energy harvester according to the embodiment of the present invention is different from the conventional method in which the vibration axis of the piezoelectric energy harvester has to be based on the neutral axis, The results can also be obtained. It is also possible to acquire the natural frequency varying due to the ductility between the tensile vibration and the bending vibration. The proposed analytical model can be applied to the conceptual design of a piezoelectric energy harvester.
2 is a view illustrating a shape of a piezoelectric energy harvester vibration analysis model according to an embodiment of the present invention.
The configuration in the figure is a diagram for explaining the structure of the piezoelectric energy harvester.
The piezoelectric energy harvester may include a metal auxiliary material having one end fixed to the base and formed of a metal component and a piezoelectric layer formed on one surface of the lower layer, and the piezoelectric layer may be formed of lead zirconate titanate (PZT). have.
That is, the modeling shape of the piezoelectric energy harvester contemplated in the present invention is a cantilever shape in which PZT, a piezoelectric element of a ceramic material, is bonded to the upper layer of the metal auxiliary material. Unlike the previous model which used Euler-Bernoulli beam theory, Timoshenko beam theory was used. We obtained a model that can accurately analyze the vibration of short beams. In addition, this analysis model can capture the natural frequencies that vary depending on the ductility between the tensile and bending vibrations that appear in the Unimorph model. In addition, unlike the existing analytical model, which can only be applied at a fixed position of the neutral axis, the position of the reference axis can be parameterized and arbitrarily set.
Unlike the previous study, which had to be based on the neutral axis, the analytical model proposed in this invention can obtain the results even when the reference is placed at an arbitrary position regardless of the reference position. It is also possible to acquire the natural frequency varying due to the ductility between the tensile vibration and the bending vibration. The proposed analytical model can be applied to the conceptual design of a piezoelectric energy harvester.
In the figure, the cross-section is a view for explaining the center axis, the central axis of mass and the neutral axis.
3 is a view for explaining a vibration analysis method of a piezoelectric energy harvester according to another embodiment of the present invention.
Referring to FIG. 3, the method of vibrating the piezoelectric energy harvester first models the shape of the piezoelectric beam, then derives the equation of motion of the piezoelectric beam, creates the IN-house code, and performs the vibration analysis.
4 is a diagram illustrating an example of natural frequency results predicted through a proposed analytical model according to an embodiment of the present invention.
Referring to FIG. 4, it is possible to determine the physical property and size of the molten metal and the ceramic to be used in the analysis, and to analyze natural frequencies of the center axis, the central axis of mass, and the neutral axis.
The present invention has been described with reference to the preferred embodiments. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims. Therefore, the disclosed embodiments should be considered in an illustrative rather than a restrictive sense. The scope of the present invention is defined by the appended claims rather than by the foregoing description, and all differences within the scope of equivalents thereof should be construed as being included in the present invention.
Claims (1)
Calculating an equation of motion related to a natural vibration characteristic including a coupling effect between a tensile vibration and a bending vibration on the basis of the Timoshenko beam theory for the piezoelectric energy harvester; And
And calculating a natural frequency of the center axis, the central axis of mass and the neutral axis of the piezoelectric energy harvester based on the equation of motion
The piezoelectric energy harvester
And a piezoelectric layer which is fixed at one end to the base and is formed on one surface of a metal auxiliary material composed of a metal component and a lower layer, wherein the piezoelectric layer is formed of titanic acid zirconate oxide.
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| KR1020150120177A KR20170024762A (en) | 2015-08-26 | 2015-08-26 | A method for analyzing the vibration characteristics of piezoelectric energy harvester of unimorph type |
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| KR1020150120177A KR20170024762A (en) | 2015-08-26 | 2015-08-26 | A method for analyzing the vibration characteristics of piezoelectric energy harvester of unimorph type |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109238438A (en) * | 2018-09-13 | 2019-01-18 | 太原理工大学 | A kind of fexible film acoustic vector sensors based on nano material |
| CN109829211A (en) * | 2019-01-21 | 2019-05-31 | 东南大学 | A kind of thermal environment lower plate structure high frequency partial method of response calculation |
-
2015
- 2015-08-26 KR KR1020150120177A patent/KR20170024762A/en unknown
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109238438A (en) * | 2018-09-13 | 2019-01-18 | 太原理工大学 | A kind of fexible film acoustic vector sensors based on nano material |
| CN109238438B (en) * | 2018-09-13 | 2021-01-05 | 太原理工大学 | Flexible film acoustic vector sensor based on nano material |
| CN109829211A (en) * | 2019-01-21 | 2019-05-31 | 东南大学 | A kind of thermal environment lower plate structure high frequency partial method of response calculation |
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