About the article
S.V. Cheremnykh
The problem of loss of stability of an isolated pivotally reinforced rod of a thinwalled circular cross-section under combined loading by an axial compressive force and a torque is investigated. The problem is solved in the bifurcation formulation under the elastic operation of the material. Equations are obtained for calculating the critical stress intensity as a function of the flexibility of a thin-walled rod in the implementation of proportional processes of combined subcritical loading by axial compressive force and torque in the plane of the deviator space of deformations of A.A. Ilyushin. Algorithms and programs for solving the problem of bifurcation of a thin-walled rod of circular cross-section under combined loading by an axial compressive force and a torque are developed for both elastic and elastic-plastic work of the material. An equation is obtained for calculating the critical load in the elastic problem of buckling of a thinwalled circular cylindrical shell under axial compression. In order to verify the obtained equations, a model elastic problem is solved.
rod, subcritical loading, material deformation, bifurcation, torque, nonconservative system.