Details
| Original language | English |
|---|---|
| Pages (from-to) | 293-304 |
| Number of pages | 12 |
| Journal | Structural safety |
| Volume | 32 |
| Issue number | 5 |
| Early online date | 17 Apr 2010 |
| Publication status | Published - Sept 2010 |
| Externally published | Yes |
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.
Keywords
- Approximation concepts, Dual formulation, Non-linear systems, Reliability-based optimization, Sensitivity analysis
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Building and Construction
- Engineering(all)
- Safety, Risk, Reliability and Quality
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In: Structural safety, Vol. 32, No. 5, 09.2010, p. 293-304.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Discrete-continuous variable structural optimization of systems under stochastic loading
AU - Jensen, Hector A.
AU - Beer, Michael
N1 - Funding Information: The research reported here was supported in part by CONICYT under Grant No. 1070903 which is gratefully acknowledged by the authors. The authors are also grateful for the partial financial support by National University of Singapore through the Ministry of Education Academic Research Fund , Grant No. R264000234133 .
PY - 2010/9
Y1 - 2010/9
N2 - 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.
AB - 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.
KW - Approximation concepts
KW - Dual formulation
KW - Non-linear systems
KW - Reliability-based optimization
KW - Sensitivity analysis
UR - http://www.scopus.com/inward/record.url?scp=77953543500&partnerID=8YFLogxK
U2 - 10.1016/j.strusafe.2010.03.007
DO - 10.1016/j.strusafe.2010.03.007
M3 - Article
AN - SCOPUS:77953543500
VL - 32
SP - 293
EP - 304
JO - Structural safety
JF - Structural safety
SN - 0167-4730
IS - 5
ER -