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Finite element model of a beam with a piezoceramic patch actuator

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Title: Finite element model of a beam with a piezoceramic patch actuator
Authors: Kusculuoglu, Z.K.1, Fallahi, B.2, Royston, T.J.1 troyston@uic.edu
Source: Journal of Sound & Vibration. Sep2004, Vol. 276 Issue 1/2, p27-44. 18p.
Subjects: Finite element method, Actuators, Automatic control systems, Piezoelectric ceramics
Abstract: Piezoceramic wafer (patch) actuators have been used for the excitation and control of vibrations of beam and plate-like structures. Precise constitutive modelling of the system is important for accurate computer simulation. In this paper, a finite element model of a beam with a piezopatch actuator adhered to it is presented. Both the beam and the patch actuator are modelled using Timoshenko beam theory. Constraints are introduced to ensure continuity of the axial and transverse displacements at the interface of the two Timoshenko elements. This formulation allows the cross-section of each layer to rotate individually, which increases the accuracy compared to conventional formulations in the literature. The displacement field of the system is presented in a factored matrix form, which is utilized to derive the element mass and stiffness matrices. Theoretical and experimental frequency response functions of a piezopatch and beam system are obtained with the piezopatch electrically open and closed circuited. Better agreement is observed between the presented model and experimental results than is obtained using a Euler–Bernoulli formulation for both layers or Timoshenko theory for only one layer and Euler–Bernoulli theory for the other. The piezoelectric and dielectric behavior of the piezoceramic wafer are included in the element model. An optimized vibration absorber using an electrical resistive-inductive shunt circuit on the piezopatch is also simulated. [Copyright &y& Elsevier]
Copyright of Journal of Sound & Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 13858287
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Finite element model of a beam with a piezoceramic patch actuator
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  Data: <searchLink fieldCode="AR" term="%22Kusculuoglu%2C+Z%2EK%2E%22">Kusculuoglu, Z.K.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Fallahi%2C+B%2E%22">Fallahi, B.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Royston%2C+T%2EJ%2E%22">Royston, T.J.</searchLink><relatesTo>1</relatesTo><i> troyston@uic.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Sound+%26+Vibration%22">Journal of Sound & Vibration</searchLink>. Sep2004, Vol. 276 Issue 1/2, p27-44. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Actuators%22">Actuators</searchLink><br /><searchLink fieldCode="DE" term="%22Automatic+control+systems%22">Automatic control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Piezoelectric+ceramics%22">Piezoelectric ceramics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Piezoceramic wafer (patch) actuators have been used for the excitation and control of vibrations of beam and plate-like structures. Precise constitutive modelling of the system is important for accurate computer simulation. In this paper, a finite element model of a beam with a piezopatch actuator adhered to it is presented. Both the beam and the patch actuator are modelled using Timoshenko beam theory. Constraints are introduced to ensure continuity of the axial and transverse displacements at the interface of the two Timoshenko elements. This formulation allows the cross-section of each layer to rotate individually, which increases the accuracy compared to conventional formulations in the literature. The displacement field of the system is presented in a factored matrix form, which is utilized to derive the element mass and stiffness matrices. Theoretical and experimental frequency response functions of a piezopatch and beam system are obtained with the piezopatch electrically open and closed circuited. Better agreement is observed between the presented model and experimental results than is obtained using a Euler–Bernoulli formulation for both layers or Timoshenko theory for only one layer and Euler–Bernoulli theory for the other. The piezoelectric and dielectric behavior of the piezoceramic wafer are included in the element model. An optimized vibration absorber using an electrical resistive-inductive shunt circuit on the piezopatch is also simulated. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Sound & Vibration is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jsv.2003.07.014
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 18
        StartPage: 27
    Subjects:
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Actuators
        Type: general
      – SubjectFull: Automatic control systems
        Type: general
      – SubjectFull: Piezoelectric ceramics
        Type: general
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      – TitleFull: Finite element model of a beam with a piezoceramic patch actuator
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            NameFull: Fallahi, B.
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            NameFull: Royston, T.J.
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            – D: 06
              M: 09
              Text: Sep2004
              Type: published
              Y: 2004
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