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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2006 No.4NEW APPROACH FOR RELIABILITY­ BASED DESIGN OPTIMIZATION:  MINIMUM ERROR POINT

LIU Deshun

YUE Wenhui

ZHU Pingyu
Hunan Provincial Key Laboratory
of Health Maintenance
for Mechanical Equipment,
Hunan University of Science
and Technology,
Xiangtan 411201, China

DU Xiaoping
Department of Mechanical and
Aerospace Engineering,
University of Missouri-Rolla,
Rolla MO65409, USA

 

 

NEW APPROACH FOR RELIABILITY­ BASED DESIGN OPTIMIZATION: MINIMUM ERROR POINT*

 

Abstract: Conventional reliability-based design optimization (RBDO) requires to use the most probable point (MPP) method for a probabilistic analysis of the reliability constraints. A new approach is presented, called as the minimum error point (MEP) method or the MEP based method, for reliability-based design optimization, whose idea is to minimize the error produced by approximating performance functions. The MEP based method uses the first order Taylor’s expansion at MEP instead of MPP. Examples demonstrate that the MEP based design optimization can ensure product reliability at the required level, which is very imperative for many important engineering systems. The MEP based reliability design optimization method is feasible and is considered as an alternative for solving reliability design optimization problems. The MEP based method is more robust than the commonly used MPP based method for some irregular performance functions.

Key words: Reliability  Most probable point (MPP)  Minimum error point (MEP)  Reliability-based design optimization (RBDO)

 


*This project is supported by National Natural Science Foundation of China (No.50575072) and Outstanding Youth Fund of Hunan Education Department, China (No.04B007). Received January 15, 2006; received in revised form June 7, 2006; accepted July 17, 2006

 

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