Stability of Meshed Plates with Consideration of Transverse Shear in Physically and Geometrically Nonlinear Formulation of the Problem

The aim of the paper is to consider the peculiarities of modelling the stability of mesh plates taking into account transverse shear in a physically and geometrically nonlinear formulation of the problem. Research methods: system and comparative analysis, numerical modelling, methods of structural mechanics, methods of elasticity theory and mechanics of deformed solid bodies. The paper describes the methodology of stability analysis of mesh plates taking into account transverse shear in physically and geometrically nonlinear formulation of the problem, which is based on the co-rotational approach and allows to use the advantages of existing and developing methods of calculation of limit states of spatial structures. The beam-column formulation is based on the use of stability interpolation functions for transverse displacements and takes into account the effects of elastic coupling between axial, bending and torsional displacements. Geometric nonlinearities are captured using stability functions, while material nonlinearities are considered using a refined plastic hinge model. Special attention is paid to the consideration of strain hardening in the process of transverse shear of the mesh plate.