DECOMPOSITION STRATEGIES FOR RELIABILITY BASED OPTIMIZATION IN MULTIDISCIPLINARY SYSTEM DESIGN

A trust region based reliability analysis that performs a bounded Most Probable Point search is developed. This facilitates screening of non-critical failure modes as well as makes possible the use of Multidisciplinary Design Optimization (MDO) approaches to perform reliability analysis for multidisciplinary problems. A Reliability Based Optimization (RBO) framework that uses MDO approaches in the reliability analysis as well as in the optimization is presented. The method allows the use of both hard and deterministic constraints, and also allows constraint screening within the RBO framework. The framework is implemented for a simple demonstration problem. The trust region based reliability analysis is implemented for a variation of a control augmented structures problem used in various MDO studies. The trust region based reliability analysis was successful in performing bounded MPP searches in the constraint screening process and was instrumental in the success of the MDO version of the reliability analysis.

[1]  A. Kiureghian,et al.  Optimization algorithms for structural reliability , 1991 .

[2]  J. Sobieszczanski-Sobieski,et al.  Sensitivity of control-augmented structure obtained by a system decomposition method , 1991 .

[3]  Dhanesh Padmanabhan,et al.  RELIABILITY BASED OPTIMIZATION USING APPROXIMATIONS WITH APPLICATIONS TO MULTI-DISCIPLINARY SYSTEM DESIGN , 2002 .

[4]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .

[5]  J. F. Rodríguez,et al.  Sequential approximate optimization using variable fidelity response surface approximations , 2000 .

[6]  E. Polak,et al.  An Outer Approximations Approach to Reliability-Based Optimal Design of Structures , 1998 .

[7]  John E. Dennis,et al.  A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization , 1997, SIAM J. Optim..

[8]  R. Grandhi,et al.  Reliability-based structural optimization using improved two-point adaptive nonlinear approximations , 1998 .

[9]  John Dalsgaard Sørensen,et al.  Reliability-Based Optimization in Structural Engineering , 1994 .

[10]  Kyung K. Choi,et al.  A NEW STUDY ON RELIABILITY-BASED DESIGN OPTIMIZATION , 1999 .

[11]  Jaroslaw Sobieszczanskisobieski,et al.  On the sensitivity of complex, internally coupled systems , 1988 .

[12]  Yoshisada Murotsu,et al.  An approach to reliability-based optimization of redundant structures , 1994 .

[13]  Kroo Ilan,et al.  Multidisciplinary Optimization Methods for Aircraft Preliminary Design , 1994 .

[14]  David R. Oakley,et al.  Performance optimization of multidisciplinary mechanical systems subject to uncertainties , 1998 .

[15]  Nicholas I. M. Gould,et al.  Trust Region Methods , 2000, MOS-SIAM Series on Optimization.