ПОСТАНОВКА ТА ПОБУДОВА ЧИСЕЛЬНОГО АЛГОРИТМУ РОЗВ’ЯЗУВАННЯ ЗАДАЧ ДИНАМІКИ ТЕОРІЇ КОНІЧНИХ ОБОЛОНОК В НЕОРТОГОНАЛЬНІЙ СИСТЕМІ КООРДИНАТ

Abstract

The paper presents the formulation and numerical algorithm for solving problems of the dynamics of the theory of conical shells in a non-orthogonal coordinate system. The object of the study are conical shells, the equations of which are represented in non-orthogonal coordinate system. Purpose of the work is to formulate and construct a numerical algorithm for solving the problems of the dynamics of conical shells in a non-orthogonal coordinate system. The methods of research include the basic principles of the theory of shells to Tymoshenko's type and numerical methods. The formulation of problems and a numerical algorithm for studying the dynamic behavior of conical shells in a non-orthogonal coordinate system are considered. The results obtained in the work can be used in the design of elements of shell structures in the rocket, aircraft and shipbuilding industries. KEYWORDS: CONIC SHELL, DYNAMIC PROCESSES, NON-ORTHOGONAL COORDINATE SYSTEM, NUMERICAL METHODS