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<p>The focus of this research article is on examining the natural vibration characteristics of a bi-directional functionally graded piezoelectric material (FGPM) beams under clamped-clamped (CC) and clamped-free (CF) boundary conditions. Two distinct FGPM beams are scrutinized and compared: one beam comprises <i>PZT-4</i> on the upper surface and <i>PZT-5&#xa0;H</i> on the lower surface, while the other features <i>PZT-4</i> on the upper surface and <i>Ba₂NaNb₅O₁₅</i> (BNN) on the lower surface. The material properties of the beams are considered to exhibit continuous variations along both the thickness and axial directions, following a power law distribution. The numerical analysis is carried out using COMSOL Multiphysics software (version 6.2), employing a two-dimensional finite element method (FEM). To verify the accuracy of the proposed approach, a comparison is made with existing literature of reduced case. The findings highlight the changes in the vibration frequencies of the bi-directional FGPM beam in response to alterations in volume fractions, slenderness ratio, and boundary conditions. The outcomes of this study are anticipated to offer valuable insights for the optimal design of functionally graded piezoelectric material beams.</p>

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Vibration Behaviour of Shear-Actuated Bi-Directional FGPM Beams: A Finite Element Approach

  • 期刊论文

  • 发表日期：

    2025年11月25日

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  • Akshansh Sharma,
  • Srishti Dhakad,
  • Pankaj Sharma,
  • Sandeep Kumar Parashar

摘要

The focus of this research article is on examining the natural vibration characteristics of a bi-directional functionally graded piezoelectric material (FGPM) beams under clamped-clamped (CC) and clamped-free (CF) boundary conditions. Two distinct FGPM beams are scrutinized and compared: one beam comprises PZT-4 on the upper surface and PZT-5 H on the lower surface, while the other features PZT-4 on the upper surface and Ba₂NaNb₅O₁₅ (BNN) on the lower surface. The material properties of the beams are considered to exhibit continuous variations along both the thickness and axial directions, following a power law distribution. The numerical analysis is carried out using COMSOL Multiphysics software (version 6.2), employing a two-dimensional finite element method (FEM). To verify the accuracy of the proposed approach, a comparison is made with existing literature of reduced case. The findings highlight the changes in the vibration frequencies of the bi-directional FGPM beam in response to alterations in volume fractions, slenderness ratio, and boundary conditions. The outcomes of this study are anticipated to offer valuable insights for the optimal design of functionally graded piezoelectric material beams.