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 articlepeer-review


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
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

All Science Journal Classification (ASJC) codes

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


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