Calculation of the Strength of Shell Structures of Agroindustrial Complex of Bunker Type

Abstract

thin shells with the use of the direct normal hypothesis. The kinematic parameters of the cylindrical shell are taken as the main unknown in the nodes at the junction of the cylindrical and conical shells. To obtain the expressions of the nodal parameters of a conical shell using the basic nodal unknown of the cylindrical shell used the kinematic conditions and the equilibrium equations of statics. The obtained relations are implemented in the matrix form and used in the transformation of stiffness matrices and vectors of nodal loads of finite elements of the conical shell adjacent to the boundary of the joint with the cylindrical shell. On the example of calculating the strength of a thin-walled bunker-type structure consisting of a cylinder and a truncated cone, the efficiency of the developed algorithms is shown and the correctness of the obtained numerical values of strength indicators is confirmed. The analysis of the numerical results allowed us to conclude that the stress concentration coefficient in the zone of joint of the cylinder with the cone increases proportionally to the angle of inclination of the cone to its axis. Ключевые слова: тонкостенная конструкция бункерного типа, конечный элемент, условия сочленения цилиндра с конусом, концентрация напряжений.