Reliability-based design optimization (RBDO) problems have been intensively studied for many decades. Since Hasofer and Lind [1974, “Exact and Invariant Second-Moment Code Format,” J. Engrg. Mech. Div., 100(EM1), pp. 111–121] defined a measure of the second-moment reliability index, many RBDO methods utilizing the concept of reliability index have been introduced as the reliability index approach (RIA). In the RIA, reliability analysis problems are formulated to find the reliability indices for each performance constraint and the solutions are used to evaluate the failure probability. However, the traditional RIA suffers from inefficiency and convergence problems. In this paper, we revisited the definition of the reliability index and revealed the convergence problem in the traditional RIA. Furthermore, a new definition of the reliability index is proposed to correct this problem and a modified reliability index approach is developed based on this definition. The strategies to solve RBDO problems with non-normally distributed design variables by the modified RIA are also investigated. Numerical examples using both the traditional and modified RIAs are compared and discussed.
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e-mail: gea@rci.rutgers.edu
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April 2011
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A Modified Reliability Index Approach for Reliability-Based Design Optimization
Po Ting Lin,
e-mail: potinglin223@gmail.com
Po Ting Lin
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854
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Hae Chang Gea,
e-mail: gea@rci.rutgers.edu
Hae Chang Gea
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854
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Yogesh Jaluria
e-mail: jaluria@jove.rutgers.edu
Yogesh Jaluria
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854
Search for other works by this author on:
Po Ting Lin
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854e-mail: potinglin223@gmail.com
Hae Chang Gea
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854e-mail: gea@rci.rutgers.edu
Yogesh Jaluria
Department of Mechanical and Aerospace Engineering
, Rutgers, The State University of New Jersey, Piscataway, NJ 08854e-mail: jaluria@jove.rutgers.edu
J. Mech. Des. Apr 2011, 133(4): 044501 (7 pages)
Published Online: May 2, 2011
Article history
Received:
November 17, 2010
Revised:
March 14, 2011
Accepted:
March 16, 2011
Online:
May 2, 2011
Published:
May 2, 2011
Citation
Ting Lin, P., Chang Gea, H., and Jaluria, Y. (May 2, 2011). "A Modified Reliability Index Approach for Reliability-Based Design Optimization." ASME. J. Mech. Des. April 2011; 133(4): 044501. https://doi.org/10.1115/1.4003842
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