Optimal pretensioned forces for cable networks

Abstract

A computer software package for the static and dynamic analyses of cable networks has been developed. The algorithm involves the Newton-Raphson method and Newmark's α-method. The former iterative method takes care of the problem's nonlinearity, and the latter handles the time-marching scheme. In addition, an optimization subroutine based on the Neider and Mead Simplex method has been incorporated into the software to enable designers to determine the optimal design values of pretensioned forces leading to a stiffer cable network. The accuracy and convergence of the software were tested on some well-documented cable networks. Their optimal values of pretensioned forces for certain specified sets of loadings were also established. © 1989.