A Monte Carlo method for reliability-based design optimization

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Reliability-based design optimization is often a very computationally expensive process that determines the best design that satisfies a set of constraints with a specified probability, given uncertainty in the inputs to the design. The Monte Carlo method used in this work to assess the uncertainty in a design given the input uncertainty is made computationally feasible through the use of kriging models as approximations to the original subsystem analyses. The re liability-based design optimization method described in this work uses Simulated Annealing to direct the optimization process. By using a kriging model as an approximation, additional uncertainty, namely model uncertainty, is incorporated into the design models and is included in the uncertainty assessment. During the reliability-based design optimization method described in this work, the number of samples used in the Monte Carlo simulation is controlled by the current temperature of the Simulated Annealing algorithm. More samples are used to improve precision as the solution nears the optimum. The method is demonstrated with the design of a satellite, and the results of not including and including the model uncertainty are presented.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Subtitle of host publication14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App
Pages6532-6544
Number of pages13
StatePublished - Dec 1 2006
Event47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Newport, RI, United States
Duration: May 1 2006May 4 2006

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume9
ISSN (Print)0273-4508

Other

Other47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
CountryUnited States
CityNewport, RI
Period5/1/065/4/06

Fingerprint

Monte Carlo methods
Simulated annealing
Uncertainty
Design optimization
Satellites
Temperature

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Martin, J. D., & Simpson, T. W. (2006). A Monte Carlo method for reliability-based design optimization. In Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App (pp. 6532-6544). (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 9).
Martin, Jay D. ; Simpson, Timothy W. / A Monte Carlo method for reliability-based design optimization. Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App. 2006. pp. 6532-6544 (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).
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Martin, JD & Simpson, TW 2006, A Monte Carlo method for reliability-based design optimization. in Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 9, pp. 6532-6544, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Newport, RI, United States, 5/1/06.

A Monte Carlo method for reliability-based design optimization. / Martin, Jay D.; Simpson, Timothy W.

Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App. 2006. p. 6532-6544 (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 9).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Martin JD, Simpson TW. A Monte Carlo method for reliability-based design optimization. In Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference: 14th AIAA/ASME/AHS Adaptive Structures Conference, 8th AIAA Non-deterministic App. 2006. p. 6532-6544. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).