Multidisciplinary design optimization under uncertainties based on BLISS and PMA

Reliability-based multidisciplinary design optimization (RBMDO) is a powerful tool to implement MDO considering uncertainties. However, integrating the reliability-based design with MDO directly will cause the triple-layered nested optimization loops. Therefore, an efficient method (BLISS-SORA) for RBMDO integrates bi-level integrated system synthesis (BLISS) and the performance measurement approach (PMA) is proposed under the sequential optimization and reliability evaluation framework (SORA). The multidisciplinary reliability analysis is decoupled from the multidisciplinary design optimization. A single-loop multidisciplinary reliability analysis method (SLMRA) is proposed based on the BLISS and PMA. The system analysis, sensitivity analysis and reliability analysis are decoupled and executed in a single loop so that the repeated iterations of the overall reliability analysis can be avoided. The procedures of the proposed method are addressed in detail. Finally, one design example is demonstrated to verify the efficiency and accuracy of the proposed method.