0
RESEARCH PAPERS

Reliability-Based Design With the Mixture of Random and Interval Variables

[+] Author and Article Information
Xiaoping Du1

Department of Mechanical and Aerospace Engineering, University of Missouri—Rolla, 1870 Miner Circle, Rolla, MO 65409-4494dux@umr.edu

Agus Sudjianto

Risk Management,  Bank of America, Charlotte, NC 28255

Beiqing Huang

Department of Mechanical and Aerospace Engineering, University of Missouri—Rolla, 1870 Miner Circle, Rolla, MO 65409-4494

1

Corresponding Author

J. Mech. Des 127(6), 1068-1076 (Feb 09, 2005) (9 pages) doi:10.1115/1.1992510 History: Received December 11, 2004; Revised February 09, 2005

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2005 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Double-loop reliability-based design method

Grahic Jump Location
Figure 2

Response with the mixture of random and interval variables

Grahic Jump Location
Figure 3

Double-loop method of RBD

Grahic Jump Location
Figure 4

Cycles of sequential single-loop method

Grahic Jump Location
Figure 5

Outline of sequential single-loop method

Grahic Jump Location
Figure 6

Cycle k of optimization and reliability analysis

Grahic Jump Location
Figure 7

A crank-slider mechanism

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In