Трач, В. М. and Подворний, А. В. and Trach, V. M. and Podvornyi, A. V. (2018) ВИКОРИСТАННЯ 3D МЕТОДИКИ ДО РОЗРАХУНКУ НА СТІЙКІСТЬ ТОВСТИХ АНІЗОТРОПНИХ ОБОЛОНОК ПІД ДІЄЮ КРУЧЕННЯ. Ресурсоекономні матеріали, конструкції, будівлі та споруди (36). pp. 295-301.

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Abstract

Запропонований підхід до розв’язку задачі стійкості циліндричних анізотропних оболонок під дією кручення, заснований на використанні процедури Бубнова-Гальоркіна при урахуванні граничних умов на торцях циліндричної оболонки та чисельного методу дискретної ортогоналізації при врахуванні умов на зовнішній та внутрішній поверхнях, у тривимірній постановці.

Title in English

USE OF A 3D TECHNIQUE FOR CALCULATION OF BUCKLING OF THICK ANISOTROPIC SHELLS AT TORSION ACTION

English abstract

Cylindrical shells from composites are widely used in the most various designs of the modern equipment. Sometimes conditions of their operation are that that in shells there is tension from the torsion moment that can reach critical values. In the majority of works, structural idealization of a composite, which imposes to material existence of three planes of symmetry, is accepted. However, at production of covers, for example, the effect of anisotropy caused by a divergence of the direction of reinforcing with shells axes arises winding. Therefore, there is a need for development of methods of the solution of problems of stability of shells from composite materials with use of more general model of a composite with the smaller level of symmetry of material. The elastic anisotropic composite cylindrical shells carried to cylindrical (curvilinear) system of coordinates are considered. Spatial approach is based on use of the three-dimensional equations of balance. For the solution of a problem of stability of cylindrical anisotropic shells, according to static criterion of Euler, we will carry out linearization of the three-dimensional system, which is written down rather derivative on a variable. One of ways of the solution of the three-dimensional task received thus is the possibility of her transformation in one-dimensional for what we will use Bubnov-Galerkin's procedure. According to her, we will spread out all functions in trigonometrical ranks on coordinate along forming the cylinder so that they met regional conditions at shell end faces. After some mathematical

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