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Research Papers: Design Automation

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

[+] Author and Article Information
Debiao Meng

School of Mechatronics Engineering,
University of Electronic Science and Technology of China,
Xi Yuan Avenue 2006,
Chengdu, Sichuan 611731, China
e-mail: 201011080105@std.uestc.edu.cn

Yan-Feng Li

School of Mechatronics Engineering,
University of Electronic Science and Technology of China,
Xi Yuan Avenue 2006,
Chengdu, Sichuan 611731, China
e-mail: yanfengli@uestc.edu.cn

Hong-Zhong Huang

School of Mechatronics Engineering,
University of Electronic Science and Technology of China,
Xi Yuan Avenue 2006,
Chengdu, Sichuan 611731, China
e-mail: hzhuang@uestc.edu.cn

Zhonglai Wang

School of Mechatronics Engineering,
University of Electronic Science and Technology of China,
Xi Yuan Avenue 2006,
Chengdu, Sichuan 611731, China
e-mail: wzhonglai@uestc.edu.cn

Yu Liu

School of Mechatronics Engineering,
University of Electronic Science and Technology of China,
Xi Yuan Avenue 2006,
Chengdu, Sichuan 611731, China
e-mail: lyrhythm@gmail.com

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 1, 2014; final manuscript received January 31, 2015; published online March 5, 2015. Assoc. Editor: Xiaoping Du.

J. Mech. Des 137(5), 051402 (May 01, 2015) (9 pages) Paper No: MD-14-1212; doi: 10.1115/1.4029756 History: Received April 01, 2014; Revised January 31, 2015; Online March 05, 2015

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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Figures

Grahic Jump Location
Fig. 1

The procedure of SORA

Grahic Jump Location
Fig. 2

The schematic diagram of shifting constraint boundary

Grahic Jump Location
Fig. 3

The flowchart of MDO-SSRA-SORA

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Fig. 4

The MDO problem of the numerical example

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Fig. 5

The structure sketch of a hydraulic transmission mechanism

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Fig. 6

The power transmission discipline

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Fig. 7

The power input discipline

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Fig. 8

The design variables and design parameters shown in the sketch

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Fig. 9

The coupled information of a hydraulic transmission mechanism MDO problem

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Fig. 10

The application of response surface model modeling technique

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Fig. 11

(a) The structure comparisons of MDO solution and MDO-SSRA solution: increase the length of connecting rod, (b) the structure comparisons of MDO solution and MDO-SSRA solution: reduce the ordinate of point B, and (c) the structure comparisons of MDO solution and MDO-SSRA solution: increase the value of angle α

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