Semi-infinite Programming
In Multi-hazard Structural Design
Author(s)
F. A. Potra & E. Simiu
Abstract
Optimal multi-hazard structural design consists in determining a vector of design
variables, subjected to the constraints imposed by all the hazards to which the
structure is exposed, such that the cost or weight of the structure is minimized. In
particular, the design variables should be determined is such a way that the loadinduced
stresses and deflections are kept below specified thresholds at all points of
the resulting structure. Since there are infinitely many such points, the optimization
problem becomes a semi-infinite programming problem. In the present paper
we discuss the difficulties involved in the numerical solution of the semi-infinite
programming problems arising in multi-hazard structural design. We show that it
is possible to construct efficient and robust optimization algorithms, by adaptively
choosing a family of finite sets of points on the structure, and by using interior
point methods for solving the corresponding optimization problems.
Keywords
Related Book
Other papers in this volume
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