Large Deflection Analysis of Prestressed Networks

A finite element computer procedure is developed, based on the matrix displacement method, for the analysis of large prestressed networks. The mathematical theory including the effect of the nonlinear contribution of the so-called geometrical stiffness are first reviewed on a novel basis. The iterative attainment of the equilibrium is considered in detail, both as far as theory and practice are concerned. The important question of the determination of an initial trial geometry of the network surface in which the equilibrium is only satisfied approximately is considered next. Attention is also paid to the layout of the initial net on the mathematical surface. The last main section reviews the practical organization of a network analysis in a computer. Following the assembly of the initial data, the measures are enumerated which are necessary for ensuring a given prestress condition. Finally practical steps for accelerating convergence and the selection of a simplified net are presented.