The stability of the core structure of a polygonal ring with a radial load
Abstract
The stability of the core structure of a polygonal ring with a radial load
Incoming article date: 15.01.2019The results of the study of the stability of the core structure of a polygonal ring under the action of a system of self-balanced radial forces are presented. A complete solution of the problem is given in accordance with the fundamental equations of the theory of R. Mises as applied to a statically definable planar structure. It is established that the instability parameter of the core structure of the hexagonal ring is determined solely by the number of nodal points of the hinged rod system.
Keywords: core structure, regular polygon, hyperboloid, annular diaphragm, determinant, characteristic polynomial, cyclic symmetry