Modeling the structural response of multifunctional materials

The in-field vibration of thin plates

D. R. Ambur, V. M. Harik, Zoubeida Ounaies, L. Librescu

Research output: Contribution to journalConference article

Abstract

Vibration of thin piezoelectric and conducting plates in different electric and magnetic fields, respectively, is investigated. Specifically, the dominant trends in the frequency-thickness dependence have been examined in detail for both types of plates made of multifunctional materials and with different plate-end conditions. For anisotropic piezoelectric materials, the effects of key material parameters (such as piezoelectric coefficients) on the in-field geometry changes and the resulting vibration frequency shifts are evaluated. A new model for the geometry-based corrections to the in-field vibration frequencies is presented for a piezoelectric plate in an electric field. The frequency results are presented for various piezoelectric polymers to illustrate the influence of material properties on the in-field vibration frequency. A second analytical model is developed for the in-field vibration of isotropic conductive plates in magnetic fields. This model captures phenomenologically the vibration frequency shifts by means of an effective "in-field thickening" of the conductive plates. Frequency predictions obtained by using this model compare favorably with the available theoretical results for the vibration of perfectly conducting plates over a wide range of thickness-to-length ratios.

Original languageEnglish (US)
Pages (from-to)2005-2015
Number of pages11
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume3
StatePublished - Aug 28 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

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Electric fields
Magnetic fields
Geometry
Piezoelectric materials
Analytical models
Materials properties
Polymers

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Modeling the structural response of multifunctional materials: The in-field vibration of thin plates",
abstract = "Vibration of thin piezoelectric and conducting plates in different electric and magnetic fields, respectively, is investigated. Specifically, the dominant trends in the frequency-thickness dependence have been examined in detail for both types of plates made of multifunctional materials and with different plate-end conditions. For anisotropic piezoelectric materials, the effects of key material parameters (such as piezoelectric coefficients) on the in-field geometry changes and the resulting vibration frequency shifts are evaluated. A new model for the geometry-based corrections to the in-field vibration frequencies is presented for a piezoelectric plate in an electric field. The frequency results are presented for various piezoelectric polymers to illustrate the influence of material properties on the in-field vibration frequency. A second analytical model is developed for the in-field vibration of isotropic conductive plates in magnetic fields. This model captures phenomenologically the vibration frequency shifts by means of an effective {"}in-field thickening{"} of the conductive plates. Frequency predictions obtained by using this model compare favorably with the available theoretical results for the vibration of perfectly conducting plates over a wide range of thickness-to-length ratios.",
author = "Ambur, {D. R.} and Harik, {V. M.} and Zoubeida Ounaies and L. Librescu",
year = "2003",
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issn = "0273-4508",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

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TY - JOUR

T1 - Modeling the structural response of multifunctional materials

T2 - The in-field vibration of thin plates

AU - Ambur, D. R.

AU - Harik, V. M.

AU - Ounaies, Zoubeida

AU - Librescu, L.

PY - 2003/8/28

Y1 - 2003/8/28

N2 - Vibration of thin piezoelectric and conducting plates in different electric and magnetic fields, respectively, is investigated. Specifically, the dominant trends in the frequency-thickness dependence have been examined in detail for both types of plates made of multifunctional materials and with different plate-end conditions. For anisotropic piezoelectric materials, the effects of key material parameters (such as piezoelectric coefficients) on the in-field geometry changes and the resulting vibration frequency shifts are evaluated. A new model for the geometry-based corrections to the in-field vibration frequencies is presented for a piezoelectric plate in an electric field. The frequency results are presented for various piezoelectric polymers to illustrate the influence of material properties on the in-field vibration frequency. A second analytical model is developed for the in-field vibration of isotropic conductive plates in magnetic fields. This model captures phenomenologically the vibration frequency shifts by means of an effective "in-field thickening" of the conductive plates. Frequency predictions obtained by using this model compare favorably with the available theoretical results for the vibration of perfectly conducting plates over a wide range of thickness-to-length ratios.

AB - Vibration of thin piezoelectric and conducting plates in different electric and magnetic fields, respectively, is investigated. Specifically, the dominant trends in the frequency-thickness dependence have been examined in detail for both types of plates made of multifunctional materials and with different plate-end conditions. For anisotropic piezoelectric materials, the effects of key material parameters (such as piezoelectric coefficients) on the in-field geometry changes and the resulting vibration frequency shifts are evaluated. A new model for the geometry-based corrections to the in-field vibration frequencies is presented for a piezoelectric plate in an electric field. The frequency results are presented for various piezoelectric polymers to illustrate the influence of material properties on the in-field vibration frequency. A second analytical model is developed for the in-field vibration of isotropic conductive plates in magnetic fields. This model captures phenomenologically the vibration frequency shifts by means of an effective "in-field thickening" of the conductive plates. Frequency predictions obtained by using this model compare favorably with the available theoretical results for the vibration of perfectly conducting plates over a wide range of thickness-to-length ratios.

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SP - 2005

EP - 2015

JO - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

JF - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

SN - 0273-4508

ER -