Discrete-continuous variable structural optimization of systems under stochastic loading
- authored by
- 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.
- External Organisation(s)
-
Universidad Tecnica Federico Santa Maria
National University of Singapore
- Type
- Article
- Journal
- Structural safety
- Volume
- 32
- Pages
- 293-304
- No. of pages
- 12
- ISSN
- 0167-4730
- Publication date
- 09.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Civil and Structural Engineering, Building and Construction, Safety, Risk, Reliability and Quality
- Electronic version(s)
-
https://doi.org/10.1016/j.strusafe.2010.03.007 (Access:
Closed)