Akademik Veri Yönetim Sistemi
INTERNATIONAL CONGRESS ON NEW TRENDS IN MECHANICS, Baku, Azerbaycan, 2 - 05 Eylül 2025, cilt.1, ss.5-10, (Tam Metin Bildiri)
The present study deals with the problem of the loss of stability of a finite eccentric hollow cylinder made of a transversal-isotropic material subjected to uniform axial compressive forces. The cross-sectional areas of the cylinder and the hole therein are assumed to be constant and circular. The mathematical modeling of the problem under consideration is based on the three-dimensional linearized theory of stability (TDLTS) for elastic bodies. The eccentricity of the cylindrical hole and the cylinder causes the greatest difficulty in solving the corresponding eigenvalue problem. To solve the problem, two cylindrical coordinate systems are introduced, which are connected to the central axes of the cylindrical hole and the cylinder. The solution of the field equations is found by the method of separation of variables and represented in the form of Fourier series in the latter cylindrical coordinate system. If the boundary conditions on the outer surface of the cylinder are satisfied, each term of these series is again represented in the Fourier series in the cylindrical coordinate system connected to the central axis of the cylinder. In this way, the solution of the critical force is transformed into the solution of the characteristic equation with a determinant of infinite order. In special numerical investigations, this infinite determinant is replaced by the corresponding finite determinants and the critical forces are found by solving these equations. Specific numerical results are presented for the case that the material is isotropic. In particular, it is found that the eccentricity leads to a reduction of the critical compression forces.