Optimum Design Of Structures Second-order Shape Optimization Of A Steel
Bridge
Author(s)
A.F.M. Azevedo, A. Adao da Fonseca
Abstract
Computer Aided Optimum Design of Structures 67
Second-order shape optimization of a steel
bridge
A.F.M. Azevedo, A. Adao da Fonseca
Faculty of Engineering, University of Porto, Porto, Portugal
Email: alvaro@fe.up.pt, adaodafonseca@civilfe.up.pt
Abstract
A comparison is made between the cost minimization of a truss with variable
cross-sectional dimensions and fixed geometry (sizing) and the same problem
with variable nodal coordinates (shape optimization). Both problems can be
formulated as a mathematical program that comprises both structural analysis
and design. When this integrated formulation is used, the number of variables in
the mathematical program is usually large and an efficient algorithm is required.
In this paper the shape optimization problem is solved by a second-order
algorithm called NEWTOP that is based on the Lagrange-Newton method. The
expressions that define the mathematical program are parsed and their first and
second deriv
Keywords
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