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Article
Reliability-Based Design under the Mixture of Random and Interval Variables
Journal of Mechanical Design
  • Xiaoping Du, Missouri University of Science and Technology
  • Agus Sudjianto
  • Beiqing Huang
Abstract
In reliability-based design (RBD), uncertainties are usually treated stochastically, and nondeterministic variables are assumed to follow certain probability distributions. However, in many practical engineering applications, distributions of some random variables may not be precisely known or uncertainties may not be appropriately represented with distributions. The possible values of those nondeterministic variables are often only known to lie within specified intervals without precise distribution information. In this paper, we attempt to address this issue by proposing a RBD method to deal with the uncertain variables characterized by the mixture of probability distributions and intervals. The reliability is considered under the condition of the worst case combination of interval variables. The computational demand of RBD with the mixture of random and interval variables may increase dramatically due to the need for identifying the worst case interval variables. To alleviate the computational burden, a sequential single-loop procedure is employed to replace the computationally expensive double-loop procedure when the worst case scenario is applied directly. with the proposed method, the RBD is conducted within a series of cycles of deterministic optimization and reliability analysis. The optimization model in each cycle is built based on the most probable point under the worst case combination of the interval variables obtained from the reliability analysis in the previous cycle. Since the optimization is decoupled from the probabilistic analysis, the computational amount for reliability analysis is decreased to the minimum extent. The proposed method is demonstrated with two examples.
Department(s)
Mechanical and Aerospace Engineering
Sponsor(s)
University of Missouri Research Board
National Science Foundation (U.S.)
Keywords and Phrases
  • Reliability,
  • Risk Management,
  • Design Engineering,
  • Random Processes,
  • Probability
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2005 American Society of Mechanical Engineers (ASME), All rights reserved.
Publication Date
1-1-2005
Citation Information
Xiaoping Du, Agus Sudjianto and Beiqing Huang. "Reliability-Based Design under the Mixture of Random and Interval Variables" Journal of Mechanical Design (2005)
Available at: http://works.bepress.com/xiaoping-du/64/