Structural Optimization of Guyed Trusses

摘要

This paper describes the nonlinear formulation and sensitivity analysis for the integrated total Lagrangian analysis and design of geometrically nonlinear cable supported trusses such as transmission lines or antennas For the purpose of automating the design process, the sequential quadratic programming method by Arora as well as a recently developed algorithm, the successive approximation method by Snyman and Stander, are used. Two simple illustrative truss examples are used to show how the use of a nonlinear as opposed to a linear formulation can result in an improved design methodology. A third example illustrates the use of Green-Lagrange prestrain as a design variable. Two further more complex examples are included to demonstrate the optimal sizing and pretensioning of cable-stayed trusses. Multiple load cases are considered.