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An efficient strategy for multidisciplinary reliability design and optimization based on CSSO and PMA in SORA framework

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Abstract

The conventional reliability-based multidisciplinary design optimization (RBMDO) integrates the reliability-based design optimization and multidisciplinary design optimization (MDO) directly, which leads to a triple-level nested optimization loop. Especially, the multidisciplinary reliability analysis in the middle layer dominates the whole efficiency of RBMDO. To tackle this problem, first of all, a sequential multidisciplinary reliability analysis (SMRA) approach that integrates the concurrent subspace optimization (CSSO) strategy and the performance measure approach is proposed, in which the multidisciplinary analysis, system sensitivity analysis and reliability analysis are decoupled and arranged sequentially, making a recursive loop. The multidisciplinary analysis and system sensitivity analysis provide the value and gradient information of limit-state function for reliability analysis respectively. As a result, a great number of repeated iterations of the whole reliability analysis are eliminated. Secondly, the CSSO has been integrated with the sequential optimization and reliability assessment (SORA) to decouple the triple-level nested RBMDO procedures into a sequence of cycles of deterministic MDO and multidisciplinary reliability analysis. Therefore, the expensive computation of the whole reliability analysis model in each iteration of RBMDO is avoided. And also, the CSSO is adopted in the deterministic MDO to deal with medium-scale and coupled multidisciplinary systems. The procedures of the proposed approaches are presented in detail. The effectiveness of the proposed strategies is demonstrated and verified with two design examples.

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Abbreviations

AAO:

all-at-one

AFORM:

advanced first-order reliability method

BLISS:

bi-level integrated system synthesis

CDF:

cumulative distribution function

CO:

collaborative optimization

COV:

coefficient of variation

CSSO:

concurrent subspace optimization

DMDO:

deterministic multidisciplinary design optimization

FORM:

first-order reliability method

IDF:

individual discipline feasible

GSE:

global sensitivity equation

KKT:

Karush–Kuhn–Tucker

PMA:

performance measure approach

RIA:

reliability index approach

SAND:

simultaneous analysis and design

SAP:

sequential approximate programming

SARAM:

sequential approach reliability analysis method

SLA:

single loop approach

SLSV:

single-loop single-vector

SMRA:

sequential multidisciplinary reliability analysis method

SORA:

sequential optimization and reliability assessment

SORM:

second-order reliability method

MDO:

multidisciplinary design optimization

MDA:

multidisciplinary analysis

MRA:

multidisciplinary reliability analysis

MPP:

most probable point

MCS:

Monte Carlo simulations

MAMV:

modified advance mean value

MDF:

multidisciplinary feasible

RBDO:

reliability-based design optimization

RBMDO:

reliability-based multidisciplinary design optimization

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Acknowledgments

The authors gratefully acknowledge the fund support from the National Natural Science Foundation of China (NSFC), Grant No.51175019. We thank the anonymous reviewers for their valuable comments.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Beihang University, XueYuan Road No.37, HaiDian District, 100191, Bei**g, China

    Liansheng Li, Ji Hong Liu & Shaohua Liu

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  1. Liansheng Li
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  2. Ji Hong Liu
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  3. Shaohua Liu
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Correspondence to Ji Hong Liu.

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Li, L., Liu, J.H. & Liu, S. An efficient strategy for multidisciplinary reliability design and optimization based on CSSO and PMA in SORA framework. Struct Multidisc Optim 49, 239–252 (2014). https://doi.org/10.1007/s00158-013-0966-x

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