Stability of three-layer non-thin anizotropic cylindrical shells under external pressure
Journal Title: Вісник Одеської державної академії будівництва та архітектури - Year 2018, Vol 1, Issue 72
Abstract
Laminated thin-walled structural elements find wide application in various branches of modern technology. The use of layered structures is due to the possibility to reduce the material consumption of the corresponding systems in demanded strength, rigidity and stability. Based on the refined theory of the Tymoshenko-Midline type, an approach to the calculation of the stability of three-layer anisotropic cylindrical shells is presented. The material of which the shell is made has one plane of elastic symmetry, which is due to the rotation of the principal directions of elasticity of the output orthotropic material. To construct equations that help determine the critical state of the shells associated with the phenomenon of bifurcation, we use the canonical system of equations for nonlinear deformation of symmetrically loaded non-thin anisotropic shells. The problem of static stability of a symmetrically loaded elastic anisotropic rotation shell is reduced to a system of ten ordinary homogeneous differential equations in normal form with variable coefficients and homogeneous boundary conditions. The method of solving the boundary value problem under consideration is based on the numerical method of discrete orthogonalization. The numerical methodology for calculating the task is implemented as a software package for the PC. To represent the proposed technique, the problem of calculating the stability of a three-layer hinged cylindrical shell made of boron plastic with bearing layers of different rigidity under the action of an external uniform pressure is considered. Successively increasing the thickness of the packet with respect to the radius of the shell, the influence of the angle of laying of the fibrous composite on its stability was analyzed. The graphs illustrating the effect of the laying angle of layered fibrous composites on the values of the critical values of the external uniform pressure are presented. The obtained critical loads are compared with numerous calculations for the stability of anisotropic shells, using a technique that relies on the Kirchhoff-Love hypothesis.
Authors and Affiliations
V. M. , Trach, M. P. , Semeniuk, M. M. , Khoruzhyi
Keywords
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