On The Stability Loss of Circular Piezoelectric Cylinder Under Unidirectional Pressure

Yeşil Ü., Aylıkcı F., Yahnioğlu N.

International Scientific Conference "Actual Problems of Mechanics", Kyyiv, Ukraine, 14 - 16 November 2023, pp.1-10

  • Publication Type: Conference Paper / Full Text
  • City: Kyyiv
  • Country: Ukraine
  • Page Numbers: pp.1-10
  • Yıldız Technical University Affiliated: Yes


This study discusses the problem of Chinese lantern-type stability loss of a circular cylinder made of piezoelectric (PZT) material subjected to uniformly distributed axial external pressure. The mathematical model of this problem is made within the framework of the exact three-dimensional equations of the nonlinear electro-elasticity theory, and the "infinitesimal imperfection criterion" is used to determine the critical parameters. According to this criterion, the force that causes the amplitudes of these initial imperfection curves of the cylinder to increase indefinitely is accepted as the critical force. The solution to the specified problems is reduced to the solutions of series-boundary value problems within the framework of the known procedure detailed in [1]. From these series-boundary-value problems, the critical parameters sought are determined only by solving the first two boundary-value problems (namely, the zeroth and the first approximations) [1]. Here, the solution for the zeroth approximation is determined analytically; however, the solution to the first approximation is obtained numerically by helping the finite element method. The authors created all algorithms and programs required by the numerical solution. The effects of various geometric and material parameters and coupling between the electrical and mechanical fields on the PZT cylinder's stability loss are investigated.