Article2015

Reliability-Based Multidisciplinary Design Optimization Using Subset Simulation Analysis and Its Application in the Hydraulic Transmission Mechanism Design

Debiao Meng · Yan‐Feng Li · Hong‐Zhong Huang · Zhonglai Wang · Yu Liu

86 citations0/0 files storedJournal of Mechanical Design

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Probabilistic and Robust Engineering Design Reliability and Maintenance Optimization Geotechnical Engineering and Analysis

Abstract

The Monte Carlo simulation (MCS) can provide high reliability evaluation accuracy. However, the efficiency of the crude MCS is quite low, in large part because it is computationally expensive to evaluate a very small failure probability. In this paper, a subset simulation-based reliability analysis (SSRA) approach is combined with multidisciplinary design optimization (MDO) to improve the computational efficiency in reliability-based MDO (RBMDO) problems. Furthermore, the sequential optimization and reliability assessment (SORA) approach is utilized to decouple an RBMDO problem into a sequential of deterministic MDO and reliability evaluation problems. The formula of MDO with SSRA within the framework of SORA is proposed to solve a design optimization problem of a hydraulic transmission mechanism.

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References

1974Exact and Invariant Second-Moment Code Format 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems 2001Estimation of small failure probabilities in high dimensions by subset simulation 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design 1990The Concept of Probability in Safety Assessments of Technological Systems 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics 1987New light on first- and second-order reliability methods 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design

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