Non-Linear Finite Element Analysis of Solids and Structures: Essentials
Non-Linear Finite Element Analysis of Solids and Structures: Essentials
Analysis of Geometrically Non-Linear Structures
Analysis of Geometrically Non-Linear Structures
FE analysis of large deformations of membranes with wrinkling
Finite Elements in Analysis and Design
An integrated analysis of membrane structures with flexible supporting frames
Finite Elements in Analysis and Design
Modelling and optimization of sails
Computers and Structures
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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 Newton-Raphson 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.