Finite element analysis of prestressed structural membranes
A very powerful approach by means of the Nonlinear Continuum Mechanics theory is introduced for the analysis of prestressed membrane structures. This strategy will allow to develop more accurate stiffness matrices for cable and membrane elements, as nonlinearity will be taken into consideration when deriving not just the equilibrium equations, but also the compatibility and constitutive equations. The consideration of moderate strains whilst maintaining large rigid body movements is the key aspect for the success of the derivation. Membranes and cables in taut, wrinkled or slack state are considered adequately in the numerical procedure. A finite element approximation along with a NewtonRaphson numerical scheme provide a very elegant and accurate way to solve the structural problem. To reveal the flexibility and robustness of the procedure, a complete assemblage of fabric textile, reinforcing cables and rigid members will be analysed from its initial design stage to its final loaded configurations. Pseudo-static analysis will be run for snow and wind conditions according to Spanish standards.
prestressed membranes wrinkling hyperelastic saint venantkirchhoff material total lagrangian formulation direct core congruential formulation