Abstract
This paper presents an optimization algorithm for the design of initial tension of cable structures in which various self-equilibrated stress states are possible. The optimization algorithm is based on the autonomous decentralized finite element method, and initial cable tension is determined by minimizing the strain energy under the design load. The local rule for changing initial cable tension is derived from the Kuhn-Tucker condition of the optimization problem. The algorithm is simple and does not need large-scale matrix analysis. A simple cable structure and a Geiger type cable dome are shown as numerical examples, the effectiveness of the present method is confirmed through these examples.
