WIT Press


Semi-infinite Programming In Multi-hazard Structural Design

Price

Free (open access)

Paper DOI

10.2495/OP090021

Volume

106

Pages

8

Page Range

13 - 20

Published

2009

Size

151 kb

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