Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 32, Number 1, May10 2009 , pages 127-145 DOI: https://doi.org/10.12989/sem.2009.32.1.127 |
|
|
|
Approximation of reliability constraints by estimating quantile functions |
||
Jianye Ching and Wei-Chi Hsu
|
||
| Abstract | ||
| A novel approach is proposed to effectively estimate the quantile functions of normalized performance indices of reliability constraints in a reliability-based optimization (RBO) problem. These quantile functions are not only estimated as functions of exceedance probabilities but also as functions of the design variables of the target RBO problem. Once these quantile functions are obtained, all reliability constraints in the target RBO problem can be transformed into non-probabilistic ordinary ones, and the RBO problem can be solved as if it is an ordinary optimization problem. Two numerical examples are investigated to verify the proposed novel approach. The results show that the approach may be capable of finding approximate solutions that are close to the actual solution of the target RBO problem. | ||
| Key Words | ||
| reliability; reliability-based optimization; quantile function; stochastic simulation. | ||
| Address | ||
| Jianye Ching: Dept. of Civil Engineering, National Taiwan University, Taipei, Taiwan Wei-Chi Hsu: Dept. of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan | ||