Jerez, Danko J, Jensen, Héctor A, Valdebenito, Marcos A, Misraji, Mauricio A, Mayorga, Franco and Beer, Michael ORCID: 0000-0002-0611-0345
(2022)
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures.
Probabilistic Engineering Mechanics, 70.
p. 103368.
Text
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Abstract
This contribution focuses on reliability-based design and optimum design sensitivity of linear dynamical structural systems subject to Gaussian excitation. Directional Importance Sampling (DIS) is implemented for reliability assessment, which allows to obtain first-order derivatives of the failure probabilities as a byproduct of the sampling process. Thus, gradient-based solution schemes can be adopted by virtue of this feature. In particular, a class of feasible-direction interior point algorithms are implemented to obtain optimum designs, while a direction-finding approach is considered to obtain optimum design sensitivity measures as a post-processing step of the optimization results. To show the usefulness of the approach, an example involving a building structure is studied. Overall, the reliability sensitivity analysis framework enabled by DIS provides a potentially useful tool to address a practical class of design optimization problems.
Item Type: | Article |
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Uncontrolled Keywords: | Structural design, First excursion probability, Directional Importance Sampling, Optimum design sensitivity, Linear structures, Gaussian loading, Interior point algorithm |
Depositing User: | Symplectic Admin |
Date Deposited: | 07 Nov 2022 09:33 |
Last Modified: | 14 Sep 2023 01:30 |
DOI: | 10.1016/j.probengmech.2022.103368 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3165996 |