Akademik Veri Yönetim Sistemi
INTERNATIONAL CONGRESS ON NEW TRENDS IN MECHANICS, Baku, Azerbaycan, 2 - 05 Eylül 2025, cilt.1, ss.219-231, (Tam Metin Bildiri)
This study deals with the problem of Chinese lantern-type stability loss of a hollow circular
cylinder made of piezoelectric (PZT) material subjected to uniform external axial pressure at
two ends. The mathematical model for these problems was developed using the nonlinear
three-dimensional exact equations of the theory of electro-elasticity in axial symmetry. The
"initial imperfection criterion" was used to determine the critical force that leads to the loss of
stability of the structural element [1-4].
The mathematical model of the theoretically analyzed problems consists of a system of
nonlinear partial differential equations and complicated boundary conditions. The solution to
these problems was reduced to the solution of linear partial differential equations series-
boundary value problems using the method described in [1].
To determine the critical external force that causes the PZT hollow cylinder to lose its
stability, it is sufficient to solve only the first two boundary value problems from the specified
series-boundary value problems [1]. The solutions for both boundary value problems are
determined analytically. A Legendre polynomial series and "window functions" are used for
the analytical solution. The effects of various problem parameters on the critical force have
been investigated in detail.