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

authored by: Danko J. Jerez, Héctor A. Jensen, Marcos A. Valdebenito, Mauricio A. Misraji, Franco Mayorga, Michael Beer
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.
Organisation(s): Institute for Risk and Reliability
External Organisation(s): Universidad Tecnica Federico Santa Maria
Universidad Adolfo Ibanez
Consulting Engineer
University of California (UCLA)
Tongji University
University of Liverpool
Type: Article
Journal: Probabilistic Engineering Mechanics
Volume: 70
ISSN: 0266-8920
Publication date: 10.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Statistical and Nonlinear Physics, Civil and Structural Engineering, Nuclear Energy and Engineering, Condensed Matter Physics, Aerospace Engineering, Ocean Engineering, Mechanical Engineering
Electronic version(s): https://doi.org/10.1016/j.probengmech.2022.103368 (Access: Closed)