Discrete-continuous variable structural optimization of systems under stochastic loading
- verfasst von
- Hector A. Jensen, Michael Beer
- Abstract
The paper deals with the optimization of structural systems involving discrete and continuous sizing type of design variables. In particular, the reliability-based optimization of non-linear systems subject to stochastic excitation where some or all of the design variables are discrete is considered. The reliability-based optimization problem is formulated as the minimization of an objective function subject to multiple reliability constraints. The probability that design conditions are satisfied within a given time interval is used as measure of system reliability. The basic mathematical programming statement of the structural optimization problem is converted into a sequence of explicit approximate primal problems of separable form. The explicit approximate primal problems are solved by constructing continuous explicit dual functions, which are maximized subject to simple non-negativity constraints on the dual variables. A gradient projection type of algorithm is used to find the solution of each dual problem. The effectiveness of the method is demonstrated by presenting a numerical example of a non-linear system subject to stochastic ground acceleration.
- Externe Organisation(en)
-
Universidad Tecnica Federico Santa Maria
National University of Singapore
- Typ
- Artikel
- Journal
- Structural safety
- Band
- 32
- Seiten
- 293-304
- Anzahl der Seiten
- 12
- ISSN
- 0167-4730
- Publikationsdatum
- 09.2010
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Tief- und Ingenieurbau, Bauwesen, Sicherheit, Risiko, Zuverlässigkeit und Qualität
- Elektronische Version(en)
-
https://doi.org/10.1016/j.strusafe.2010.03.007 (Zugang:
Geschlossen)