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Whole-Thesis-Zhong Ren-update-7-3.pdf (1.15 MB)

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An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random

Ren, Zhong
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1373021397

Abstract Details

, Master of Science, University of Toledo, Industrial Engineering.
In many design problems, designers typically utilize finite element models to predict the behavior and assess the safety of a system. It is challenging to perform probabilistic analysis, and design a reliable system, because repeated finite element analyses of large models are required, and these models must be coupled with an optimizer, which is often prohibitively expensive. This thesis presents a methodology for probabilistic analysis and reliability based design optimization (RBDO) to overcome the above challenge. RBDO incorporates probabilistic reanalysis (PRRA) into the optimization process so that the optimum design has a great chance of staying in the feasible design space despite the inevitable variability in the design variables/parameters. PRRA calculates very efficiently the system reliability for many probability distributions of the design variables by performing a single Monte Carlo simulation. Another part of work integrates PRRA with two alternative methods to create a new design tool that can perform reliability based optimization efficiently. The first is Trust Region methodology and the second is a Global-Local methodology. These two methods are demonstrated and compared on a ten-bar truss structure.
Efstratios Nikolaidis (Committee Chair)
Lesley Berhan (Committee Member)
Matthew Franchetti (Committee Member)
Mehdi Pourazady (Committee Member)
Industrial Engineering

Recommended Citations

Citations

  • Ren, Z. (n.d.). An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random [Master's thesis, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1373021397

    APA Style (7th edition)

  • Ren, Zhong. An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random. University of Toledo, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1373021397.

    MLA Style (8th edition)

  • Ren, Zhong. "An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random." Master's thesis, University of Toledo. Accessed MAY 06, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1373021397

    Chicago Manual of Style (17th edition)

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This open access ETD is published by University of Toledo and OhioLINK.