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A general electroelastic analysis of piezoelectric shells based on levy-type solution and eigenvalue-eigenvector

Ji Qi1, Ran Teng2, H Elhosiny Ali3

  • 1College of Engineering Technical, Jilin Agricultural University, Changchun, 130118, Jilin, China.

Heliyon
|July 10, 2023
PubMed
Summary
This summary is machine-generated.

This study presents an electroelastic analysis of piezoelectric shells using an Eigenvalue-Eigenvector approach and Levy-type solutions. The findings offer accurate predictions for displacements, stresses, and electric potential in these complex structures.

Keywords:
Doubly curved piezoelectric shellEigenvalue-eigenvector approachFirst order shear deformation theoryLevy type boundary conditions

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Piezoelectric Materials

Background:

  • Doubly curved shells are critical structural components.
  • Piezoelectric materials offer unique electroelastic coupling properties.
  • Shear deformable models are essential for accurate shell analysis.

Purpose of the Study:

  • To develop an electroelastic analysis method for doubly curved piezoelectric shells.
  • To investigate the behavior of these shells under specific boundary conditions.
  • To validate the proposed analytical solution.

Main Methods:

  • Derivation of electroelastic governing equations using the virtual work principle.
  • Application of Levy-type solution for specific boundary conditions (simply-supported and clamped).
  • Solving the resulting ordinary differential equations via the Eigenvalue-Eigenvector method.

Main Results:

  • Detailed distributions of displacements, rotations, electric potential, strain, and stress are presented.
  • The Eigenvalue-Eigenvector method effectively satisfies clamped-clamped boundary conditions.
  • The proposed solution demonstrates high accuracy through comparisons with prior studies.

Conclusions:

  • The Eigenvalue-Eigenvector and Levy-type solution approach is effective for electroelastic analysis of piezoelectric shells.
  • The method provides accurate predictions for various electroelastic parameters.
  • This work contributes to the understanding and application of piezoelectric shells in engineering.