Akademik Veri Yönetim Sistemi
The 9th International Conference on Control and Optimization with Industrial Applications – COIA-2024, İstanbul, Türkiye, 27 Ağustos - 29 Eylül 2024, ss.1-3
The analysis of Chinese lantern-type
stability loss of a circular cylinder made of functionally graded material
(FGM) under the uniformly distributed axial external pressure is investigated.
The mathematical model of this problem is constructed within the framework of the
exact three-dimensional geometrically nonlinear equations of elasticity theory
and the initial "infinitesimal imperfection criterion" is used to
identify critical parameters. According to this criterion, the force that leads
to an infinite increase in the amplitudes of the initial imperfection curves of
the cylinder is considered as the critical force.
The solution of the specified problem is
reduced to the solutions of the series of boundary value problems, each
containing the quantities of all previous ones [1]. However, to determine the
critical parameters from this set of boundary value problems, it is sufficient
to solve only the first two boundary value problems (namely the zeroth and the
first approximations) [1]. While the solution for the zeroth approximation is
determined analytically, the solution for the first approximation is derived numerically
using the finite element method (FEM). For the material parameters of the
cylinder, it is assumed that only the elastic modulus of the medium varies
continuously as a function of the vertical coordinate, the Poisson’s ratio is assumed
to be constant. The authors have developed the algorithms and programs required
for the numerical solution of the corresponding boundary value problem. The
effects of various geometrical and material parameters on the Chinese
lantern-type stability loss of a FGM circular cylinder are investigated.