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A Two-Phase Sampling Approach for Reliability-Based Optimization in Structural Engineering

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Advances in Reliability and Maintainability Methods and Engineering Applications

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

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Abstract

This work presents a two-phase sampling approach to address reliability-based optimization problems in structural engineering. The constrained optimization problem is converted into a sampling problem, which is then solved using Markov chain Monte Carlo methods. First, an exploration phase generates uniformly distributed feasible designs. Thereafter, an exploitation phase is carried out to obtain a set of close-to-optimal designs. The approach is general in the sense that it is not limited to a particular type of system behavior and, in addition, it can handle constrained and unconstrained formulations as well as discrete–continuous design spaces. Three numerical examples involving structural dynamical systems under stochastic excitation are presented to illustrate the capabilities of the approach.

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Author information

Authors and Affiliations

  1. Institute for Risk and Reliability, Leibniz Universität Hannover, Hannover, Germany

    Danko J. Jerez & Michael Beer

  2. Department of Civil Engineering, Federico Santa Maria Technical University, Valparaíso, Chile

    Hector A. Jensen

  3. International Joint Research Center for Resilient Infrastructure and International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji University, Shanghai, China

    Michael Beer

  4. Institute for Risk and Uncertainty and School of Engineering, University of Liverpool, Liverpool, UK

    Michael Beer

Authors
  1. Danko J. Jerez
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  2. Hector A. Jensen
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  3. Michael Beer
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Corresponding author

Correspondence to Danko J. Jerez .

Editor information

Editors and Affiliations

  1. Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu, Sichuan, China

    Yu Liu

  2. Department of Industrial Engineering and Management, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China

    Dong Wang

  3. Center for System Reliability and Safety, University of Electronic Science and Technology of China, Chengdu, Sichuan, China

    Jinhua Mi

  4. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    He Li

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Jerez, D.J., Jensen, H.A., Beer, M. (2023). A Two-Phase Sampling Approach for Reliability-Based Optimization in Structural Engineering. In: Liu, Y., Wang, D., Mi, J., Li, H. (eds) Advances in Reliability and Maintainability Methods and Engineering Applications. Springer Series in Reliability Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-28859-3_2

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  • DOI: https://doi.org/10.1007/978-3-031-28859-3_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-28858-6

  • Online ISBN: 978-3-031-28859-3

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