Abstract
Traditional reliability-based design optimization (RBDO) requires a double loop iteration process. The inner optimization loop is to find the most probable point (MPP) and the outer is the regular optimization loop to optimize the RBDO problem with reliability objectives or constraints. It is well known that the computation can be prohibitive when the associated function evaluation is expensive. As a result, many approximate RBDO methods, which convert the double loop to a single loop, have been developed. In this work, several approximate RBDO methods are coded, discussed, and tested against a double loop algorithm through four design problems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chen, X.; Hasselman, T.K.; Neill, D.J. 1997: Reliability based structural design optimization for practical applications. In: Proc. 38th AIAA SDM Conf. (held in Kissimmee), AIAA-97-1403
Du, X.; Chen, W. 2002: Sequential optimization and reliability assessment method for efficient probabilistic design. In: ASME Design Engineering Technical Conf. (held in Montreal) DETC2002/DAC-34127
Gu, L.; Yang, R.J.; Tho, H.; Makowski, M.; Faruque, O.; Li, Y. 2001: Optimization and robustness for crashworthiness of side impact. Int. J. Veh. Des. 26(4), 348–360
Wang, L.; Kodiyalam, S. 2002: An efficient method for probabilistic and robust design with non-normal distributions. In: Proc. 43rd AIAA SDM Conf. (held in Denver)
Wu, Y.-T.; Shin, Y.; Sues, R.; Cesare, M. 2001: Safety-factor based approach for probability-based design optimization. In: Proc. 42nd AIAA SDM Conf. (held in Seattle), AIAA-2001-1522
Wu, Y.-T.; Wang, W. 1998: Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J. Integr. Des. Process Sci. 2(4), 13–21
Yang, R.J.; Gu, L.; Tho, C.H.; Choi, K.K.; Youn, B.D. 2002: Reliability-based multidisciplinary design optimization of a full vehicle system. In: Proc. 43rd AIAA SDM Conf. (held in Denver), AIAA-2002-1758
Youn, B.D.; Choi, K.K.; Park, Y.H. 2003: Hybrid analysis method for reliability-based design optimization. J. Mech. Des., ASME 125(2), 221–232
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, R., Gu , L. Experience with approximate reliability-based optimization methods. Struct Multidisc Optim 26, 152–159 (2004). https://doi.org/10.1007/s00158-003-0319-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-003-0319-2