The process of shell formation and optimization by the criterion of accuracy of their geometric shape

Abstract

The research is devoted to the process of deformation of a two-dimensional grid. The difficulty of describing the deformation process is that the situation behaves when deformed, which is different from the sheet solid material. This is due to it possible rotation relative to the perpendicular wires of the grid from one structure to another in the nodes. In addition, as shown in more detail below, the conditions that must satisfy the solution are different from the standard ones: the surface that should lie after deformation is given, while the solutions applied to the grid in nodes remain unknown in the formulation of the problem. The deformation depends on the effort applied to the ends of the mesh element. The stiffness matrix of the element is located using the DIP-FEM package, for which a model of the element is created and at a given unit effort for each direction, the application of the displacement load is calculated.