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Transverse vibration analysis for piezoceramic rectangular plates using Ritz's method with equivalent constants.

Chi-Hung Huang1, Yi-Yu Chen

  • 1Department of Mechanical Engineering, Ching Yun University, Chung-Li, Taiwan 320, Republic of China. chhuang@cyu.edu.tw

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|March 15, 2006
PubMed
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This study presents a new method for analyzing the transverse vibration of piezoceramic plates using equivalent constants. The validated Ritz

Area of Science:

  • Solid Mechanics
  • Materials Science
  • Vibrational Analysis

Background:

  • Piezoceramic materials offer unique electromechanical properties.
  • Understanding the vibrational behavior of thin plates is crucial for various engineering applications.
  • Existing analytical methods may require adaptation for piezoceramic materials.

Purpose of the Study:

  • To develop and validate a theoretical framework for analyzing the transverse vibration of piezoceramic rectangular thin plates.
  • To introduce a novel approach using equivalent constants within the Ritz's method.
  • To experimentally verify the proposed theoretical model.

Main Methods:

  • Theoretical analysis using the Ritz's method with derived equivalent constants for piezoceramic properties.

Related Experiment Videos

  • Experimental validation employing amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) and laser Doppler vibrometer (LDV).
  • Numerical simulations using the finite-element method (FEM) for comparison.

    • Main Results:

    • The adapted Ritz's method accurately predicts resonant frequencies and mode shapes of piezoceramic plates.
    • Experimental results from AF-ESPI and LDV show excellent agreement with theoretical predictions.
    • The study analyzes the influence of aspect ratio on resonant frequencies for various vibration modes.

    Conclusions:

    • The proposed theoretical approach using equivalent constants is effective for analyzing piezoceramic plate vibrations.
    • Experimental and numerical methods confirm the validity of the theoretical model.
    • The findings provide valuable insights for designing and utilizing piezoceramic structures in dynamic applications.