Open Access
Selecting probabilistic approaches for reliability-based design optimization
Byeng D. Youn,Kyung K. Choi +1 more
- Vol. 42, Iss: 1, pp 124-131
TLDR
In this article, a guide for selecting an appropriate method in RBDO is provided by comparing probabilistic design approaches from the perspective of various numerical considerations, and it has been found in the literature that PMA is more efficient and stable than RIA in terms of numerical accuracy, simplicity, and stability.Abstract:
During the past decade, numerous endeavors have been made to develop effective reliability-based design optimization (RBDO) methods. Because the evaluation of probabilistic constraints defined in the RBDO formulation is the most difficult part to deal with, a number of different probabilistic design approaches have been proposed to evaluate probabilistic constraints in RBDO. In the first approach, statistical moments are approximated to evaluate the probabilistic constraint. Thus, this is referred to as the approximate moment approach (AMA). The second approach, called the reliability index approach (RIA), describes the probabilistic constraint as a reliability index. Last, the performance measure approach (PMA) was proposed by converting the probability measure to a performance measure. A guide for selecting an appropriate method in RBDO is provided by comparing probabilistic design approaches for RBDO from the perspective of various numerical considerations. It has been found in the literature that PMA is more efficient and stable than RIA in the RBDO process. It is found that PMA is accurate enough and stable at an allowable efficiency, whereas AMA has some difficulties in RBDO process such as a second-order design sensitivity required for design optimization, an inaccuracy to measure a probability of failure, and numerical instability due to its inaccuracy. Consequently, PMA has several major advantages over AMA, in terms of numerical accuracy, simplicity, and stability. Some numerical examples are shown to demonstrate several numerical observations on the three different RBDO approaches.read more
Citations
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Journal ArticleDOI
Review of Metamodeling Techniques in Support of Engineering Design Optimization
Gongming Wang,Songqing Shan +1 more
TL;DR: This work reviews the state-of-the-art metamodel-based techniques from a practitioner's perspective according to the role of meetamodeling in supporting design optimization, including model approximation, design space exploration, problem formulation, and solving various types of optimization problems.
Journal ArticleDOI
Reliability-based design optimization using kriging surrogates and subset simulation
TL;DR: The aim of the present paper is to develop a strategy for solving reliability-based design optimization (RBDO) problems that remains applicable when the performance models are expensive to evaluate.
Journal ArticleDOI
On design optimization for structural crashworthiness and its state of the art
TL;DR: A comprehensive review of the important studies on design optimization for structural crashworthiness and energy absorption is provided in this article, where the authors provide some conclusions and recommendations to enable academia and industry to become more aware of the available capabilities and recent developments in design optimization.
Journal ArticleDOI
Enriched Performance Measure Approach for Reliability-Based Design Optimization.
TL;DR: In this article, an enriched performance measure approach is presented for reliability-based design optimization to substantially improve computational efficiency when applied to large-scale applications, where the authors show that deterministic design optimization helps improve numerical efficiency by reducing some reliability based design optimization iterations.
Journal ArticleDOI
Adaptive probability analysis using an enhanced hybrid mean value method
TL;DR: In this article, an adaptive probability analysis method is proposed to generate the probability distribution of the output performance function by identifying the propagation of input uncertainty to output uncertainty, which is based on an enhanced hybrid mean value (HMV+) analysis in the performance measure approach.
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TL;DR: This paper presents a general approach for probabilistic constraint evaluation in the reliability-based design optimization (RBDO), where the conventional reliability index approach (RIA) and the proposed performance measure approach (PMA) are identified as two special cases.
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