On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures



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.

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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
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