Optimization Of High Tension Towers By
Sequential Linear Programming With
Quadratic Line Search
Author(s)
F. Navarrina, A. Valera, J. Par´ıs, I. Colominas & M. Casteleiro
Abstract
As a general rule, optimum design problems can be written in terms of non linear
constrained minimization statements. In many engineering problems the required
underlying analysis can involve quite sophisticated numerical techniques.
This should rocket the computational cost associated to repeatedly sampling the
objective function and the constraints. On the other hand, the tools provided by
the existing CAD systems do not allow one to define parametric designs for any
kind of object with enough flexibility. Moreover, most of the available commercial
computer programs for engineering problems do not include the corresponding
sensitivity analysis techniques. And, in any case, the computational cost associated
with performing a full high-order sensitivity analysis should normally be unacceptable
in practice. For all of these reasons, we are still far from being able to
develop a kind of universal purpose optimum design system for real engineering
problems. However, we can think of developing specific purpose optimum design
systems for particular families of engineering problems.
In this paper we present a specific purpose shape optimization system for a
particular family of high tension towers. The system conforms to the corresponding
Spanish Standard. The shape optimization problem is solved by means of an
improved sequential linear programming algorithm with quadratic line search. The
system performs the sensitivity analysis up to the second order by means of analytical
techniques. Finally, several application examples are presented and discussed.
Keywords
Related Book
Other papers in this volume
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