Akademik Veri Yönetim Sistemi
International Scientific Conference "Actual Problems of Mechanics", Kyyiv, Ukrayna, 14 - 16 Kasım 2023, ss.1-10
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.