scholarly journals Review of Reliability-Based Design Optimization Approach and Its Integration with Bayesian Method

Author(s):  
Xiangnan Zhang
Author(s):  
Heeralal Gargama ◽  
Sanjay K Chaturvedi ◽  
Awalendra K Thakur

The conventional approaches for electromagnetic shielding structures’ design, lack the incorporation of uncertainty in the design variables/parameters. In this paper, a reliability-based design optimization approach for designing electromagnetic shielding structure is proposed. The uncertainties/variability in the design variables/parameters are dealt with using the probabilistic sufficiency factor, which is a factor of safety relative to a target probability of failure. Estimation of probabilistic sufficiency factor requires performance function evaluation at every design point, which is extremely computationally intensive. The computational burden is reduced greatly by evaluating design responses only at the selected design points from the whole design space and employing artificial neural networks to approximate probabilistic sufficiency factor as a function of design variables. Subsequently, the trained artificial neural networks are used for the probabilistic sufficiency factor evaluation in the reliability-based design optimization, where optimization part is processed with the real-coded genetic algorithm. The proposed reliability-based design optimization approach is applied to design a three-layered shielding structure for a shielding effectiveness requirement of ∼40 dB, used in many industrial/commercial applications, and for ∼80 dB used in the military applications.


2009 ◽  
Vol 139 (5) ◽  
pp. 1619-1632 ◽  
Author(s):  
R. d’Ippolito ◽  
M. Hack ◽  
S. Donders ◽  
L. Hermans ◽  
N. Tzannetakis ◽  
...  

2016 ◽  
Vol 13 (01) ◽  
pp. 1650006 ◽  
Author(s):  
Gang Li ◽  
Zeng Meng ◽  
Peng Hao ◽  
Hao Hu

Traditional reliability-based design optimization (RBDO) approaches are computationally expensive for complicated problems. To cope with this challenge, a surrogate-based hybrid RBDO approach for the problems with highly nonlinear constraints and multiple local optima is proposed in this study. Specifically, the adaptive chaos control (ACC) method is used to ensure the robustness of the most probable target point (MPTP) search process, and the particle swarm optimization (PSO) algorithm is utilized to conquer the barrier caused by multiple local optima. Three illustrative benchmark examples together with a 3 m diameter orthogrid stiffened shell for current launch vehicles are employed to demonstrate the efficiency and robustness of the proposed method.


2015 ◽  
Vol 4 (2) ◽  
pp. 31-44 ◽  
Author(s):  
Youcef Bereriche ◽  
Daoud Ait-Kadi

In this paper, the authors propose a reliability based design optimization approach for optimal inventory design in emergency operation, considering reliability target. In this context, the reliability of an inventory system is defined as the probability that the available inventory level meets all population demand during crisis period. Inventory support for emergency operations is complicated by uncertainties of demands and duration of crisis period. The inventory system is considered as a structure that undergoes an external load represented by the demand of population during crisis period. Moreover, the supply chain resists to this load by its strength represented by the quantity of products available at the distribution center. Reliability based design optimization approach is proposed to perform an optimal design of inventory system in emergency operation without making any particular assumption on distribution of population demand and duration crisis period. The simulation software SIMIO is used to validate the proposed method by conducing simulation analysis using several examples with different distributions of population demand and duration crisis period. The results indicate clearly that the proposed method gives an optimal design with reliability much closer to target value.


Author(s):  
Jianhua Zhou ◽  
Min Xu ◽  
Mian Li

Uncertainties, inevitable in nature, can be classified as probability based and interval based uncertainties, in terms of its representations. Corresponding optimization strategies have been proposed to deal with these two types of uncertainties individually. However, it is more likely that both types of uncertainty occur in one single problem and so it is trivial to treat all uncertainties the same. In this paper a novel formulation for reliability based design optimization (RBDO) under mixed probability and interval uncertainties is proposed, in which the objective variation or the objective robustness is also concerned. Furthermore, it is proposed to efficiently solve the worst case parameter resulted from the interval uncertainty by utilizing the Utopian solution presented in a single-looped robust optimization approach, in which the inner optimization problem can be solved by performing matrix operations. The remaining problem can be solved utilizing any existing RBDO method. This work applies the performance measure approach to search for the most probable failure point (MPFP) and sequential quadratic programming (SQP) to solve the entire problem. Two engineering examples are given to demonstrate the applicability of the proposed approach and to illustrate the necessity to consider the objective robustness under certain circumstances.


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