Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Design for reliability: optimization of critical structures using cross-entropy reliability analysis

Authors
1 Amir Abad, North Kargar Street, Postal code: 14395-1561, Faculty of New Sciences & Technologies, University of Tehran, Tehran, Iran
2 Amir Abad, North Kargar Street, Postal code: 14395-1561, Faculty of New Sciences & Technologies, University of Tehran, Tehran, Iran
Abstract
This article presents an efficient reliability-based optimization method for critical structural design, in which, the probability of failure (Pf) should remain in a small bound. Critical structures should be designed to be optimal and reliable. Despite significant progress in reliability and optimization techniques, their interaction, which is considered in reliability-based optimization (RBDO), is faced with several challenges, especially in reliability analysis of critical constraints (constraints with Pf less than 10-5). To address this issue, in this paper the cross-entropy method is intended for reliability analysis and is combined with Genetic Algorithm in a double-loop framework to implement RBDO. The cross-entropy method is based on Monte Carlo simulation, except that the variance of sampling is reduced, which leads to a faster and more accurate reliability analysis method. The proposed RBDO method is demonstrated on two structural design. The obtained results show a high capability in reliability-based optimization of critical structures. In addition, using the proposed method, in comparison with traditional safety factor method, provides a more substantial manner in reliability improvement.
Keywords

Subjects


 
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Volume 20, Issue 3 - Serial Number 52
System Dynamics and Solid Mechanics
Autumn 2018
Pages 41-58

  • Receive Date 23 February 2017
  • Revise Date 14 May 2017
  • Accept Date 15 December 2018