The Application of the Method of Successive Loadings when Solving Problems of Mechanics of Flat Rods

When solving problems of loading of structures comprising rod elements, one often has to deal with large displacements of these elements (i.e. commensurate with the length of the rod). A number of methods for solving nonlinear problems applicable to the calculation of plates, shells, membranes, as well as rods, has been developed in the mechanics of deformable solids. This article describes a relatively simple method of successive loadings to solve the plane problems of the mechanics of rods that is accurate enough for everyday engineering practice. The results of numerical studies of the rods exposed to different loads are presented, for which exact analytical solutions are available in the literature. The accuracy of the proposed method of solving such problems is demonstrated. The described method of numerical investigation of deep deformation of flat rods can be easily applied to studying constructions of spatial rods of arbitrarily complex geometry. This topic may be of interest to specialists in the field of mechanics of rods.

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