ИССЛЕДОВАНИЕ ДИНАМИЧЕСКОГО УПРУГОПЛАСТИЧЕСКОГО ДЕФОРМИРОВАНИЯ ИСКРИВЛЕННЫХ СТЕРЖНЕЙ НЕРЕГУЛЯРНОЙ СЛОИСТО-ВОЛОКНИСТОЙ СТРУКТУРЫ

Abstract

In the Karman approximation the problem of elastic-plastic deformation of flexible laminated- fibrous rods of the small curvature and irregular structure is formulated. The rods consist of two belt-bearing layers (flanges) connected by a thin wall. In the framework of the Timoshenko model the weakened resistance of the wall to shear in its plane is taken into account. Bearing layers are reinforced in the longitudinal direction, and flanges longitudinally or cross-reinforced in its plane. The elastoplastic behavior of components of the composition is described by the equations of the theory of plasticity with isotropic hardening. For the numerical integration of the considered problem the explicit “cross” scheme was used. The calculations are carried out for the dynamic bending deformation of homogeneous and composite, straight and curved flat bars beam of double-T cross section under the action of loads of explosive type. It is shown that the classical theory of bending of these structures can be unacceptable not only for the analysis of metal-composite but homogeneous layered metal rods with unified rolling-sections of double-T type. It is demonstrated that the rational structure of reinforcement of walls for straight rods can be ineffective in the case of curved rods. It is obtained that the dynamic inelastic behavior of curved rods depends on the direction of action of external lateral loads of explosive type. Keywords: layered curved rods, reinforcement, Timoshenko model, geometric nonlinearity, bending deformation, theory of plastic flow, isotropic hardening, dynamic loads, “cross” scheme.