Possibility of Using Finite Element Method in the Form of Classical Mixed Method for Geometrical Nonlinear Analysis of Hinged-Rod Systems

Numerical Simulation of the Process of Directed Transformation of a Regular Hinge-Rod System

“…A separate category consists of hinge-rod -sized transformable space structures, the disclosure of which occurs automatically in zero gravity [1]. Works [2,3] are devoted to the problem of finite element analysis of the stress-strain state of hinge-rod systems taking into account large displacements. In particular, in [2] a two-rod instantaneously kinematically variable is considered, the design scheme of which is behavior of the in a geometrically nonlinear formulation, the authors have developed an algorithm based on a step-by-step loading scheme and the formation at each step of a mixed system of equations in the form of the displacement method and the force method.…”

“…In order to verify the algorithm proposed in [2,3] we will perform the calculation of the two-rod for the initial position , , A and configuration of the system in the position , , A patterns of vertical displacement distribution A u y and longitudinal forces N in rods, derived using a nonlinear solver of the software package ANSYS Mechanical. Comparing these data with the results of [2], we establish that the value of A u y max corresponding to the calculation of an both calculations -m. when geometrically nonlinear calculation of in position 0 the results are similar [2]. The coincidence of the results is also observed when comparing the longitudinal forces in the rods for the two positions of the system.…”