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: Chapter in Book/Report/Conference proceedingConference contribution

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-tolength ratios.

Original languageEnglish (US)
Title of host publication44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - 2003
Event44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003 - Norfolk, VA, United States
Duration: Apr 7 2003Apr 10 2003

Other

Other44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2003
CountryUnited States
CityNorfolk, VA
Period4/7/034/10/03

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction
  • Architecture

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    Ambur, D. R., Harik, V. M., Ounaies, Z., & Librescu, L. (2003). Modeling the structural response of multifunctional materials: The in-field vibration of thin plates. In 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference