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

Ji Qi; Ran Teng; H Elhosiny Ali; Mohammad Arefi

doi:10.1016/j.heliyon.2023.e17634

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

Heliyon. 2023 Jun 26;9(7):e17634. doi: 10.1016/j.heliyon.2023.e17634. eCollection 2023 Jul.

Authors

Ji Qi¹, Ran Teng², H Elhosiny Ali³, Mohammad Arefi⁴

Affiliations

¹ College of Engineering Technical, Jilin Agricultural University, Changchun, 130118, Jilin, China.
² Northeastern Petroleum Pipeline Company, Shenyang, 110031, Liaoning, China.
³ Zagazig University, 44519, Zagazig, Egypt.
⁴ Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, 87317-51167, Iran.

Abstract

Eigenvalue-Eigenvector approach as well as Levy type solution are used for electroelastic analysis of a doubly curved shell made of piezoelectric material based on a shear deformable model and piezoelasticity relations. The electroelastic governing equations are derived using virtual work principle. The solution is proposed for a Levy type boundary conditions with two simply-supported boundary conditions and two clamped ones. After derivation of the governing equations, a solution satisfying two simply supported boundary conditions is assumed to arrive a system of ordinary differential equations. The latest governing equations are solved using Eigenvalue-Eigenvector method to satisfy clamped-clamped boundary conditions. The distribution of displacements, rotations, electric potential, strain and stress is presented along the planar coordinate. Accuracy of the proposed solution is justified through comparison with results of previous papers.

Keywords: Doubly curved piezoelectric shell; Eigenvalue-eigenvector approach; First order shear deformation theory; Levy type boundary conditions.