Journal ArticleDOI
Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design
Xiaoping Du,Wei Chen +1 more
- Vol. 126, Iss: 2, pp 225-233
TLDR
The sequential optimization and reliability assessment (SORA) as mentioned in this paper method employs a single-loop strategy, where a serial of cycles of optimization and assessment is employed, and the reliability assessment is decoupled from each other.Abstract:
Probabilistic optimization design offers tools for making reliable decisions with the consideration of uncertainty associated with design variables/parameters and simulation models. In a probabilistic design, such as reliability-based design and robust design, the design feasibility is formulated probabilistically such that the probability of the constraint satisfaction (reliability) exceeds the desired limit. The reliability assessment for probabilistic constraints often involves an iterative procedure; therefore, two loops are involved in a probabilistic optimization. Due to the double-loop procedure, the computational demand is extremely high. To improve the efficiency of a probabilistic design, a novel method – sequential optimization and reliability assessment (SORA) is developed in this paper. The SORA method employs a single-loop strategy where a serial of cycles of optimization and reliability assessment is employed. In each cycle optimization and reliability assessment are decoupled from each other; no reliability assessment is required within optimization and the reliability assessment is only conducted after the optimization. The key concept of the proposed method is to shift the boundaries of violated deterministic constraints (with low reliability) to the feasible direction based on the reliability information obtained in the previous cycle. Hence the design is quickly improved from cycle to cycle and the computational efficiency is improved significantly. Two engineering applications, the reliability-based design for vehicle crashworthiness of side impact and the integrated reliability and robust design of a speed reducer, are presented to demonstrate the effectiveness of the SORA method.Copyright © 2002 by ASMEread more
Citations
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Book
Multi-Objective Optimization Using Evolutionary Algorithms
Kalyanmoy Deb,Deb Kalyanmoy +1 more
TL;DR: This text provides an excellent introduction to the use of evolutionary algorithms in multi-objective optimization, allowing use as a graduate course text or for self-study.
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Multi-objective Optimisation Using Evolutionary Algorithms: An Introduction
TL;DR: This chapter provides a brief introduction to its operating principles and outline the current research and application studies of evolutionary multi-objective optmisation (EMO).
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Computational methods in optimization considering uncertainties – An overview
TL;DR: In this article, the authors present a brief survey on some of the most relevant developments in the field of optimization under uncertainty, including reliability-based optimization, robust design optimization and model updating.
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Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles
TL;DR: A comprehensive review of Uncertainty-Based Multidisciplinary Design Optimization (UMDO) theory and the state of the art in UMDO methods for aerospace vehicles is presented.
Journal ArticleDOI
Benchmark study of numerical methods for reliability-based design optimization
Younes Aoues,Alaa Chateauneuf +1 more
TL;DR: The reliability-based design optimization (RBDO) seeks for the best compromise between cost and safety, by considering system uncertainties as mentioned in this paper, which can be classified into three main approaches, namely the two-level approach, the single loop approach and the decoupled approach.
References
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Book
Quality Engineering Using Robust Design
TL;DR: This book offers a complete blueprint for structuring projects to achieve rapid completion with high engineering productivity during the research and development phase to ensure that high quality products can be made quickly and at the lowest possible cost.
Book
Structural Reliability: Analysis and Prediction
TL;DR: Measures of Structural Reliability Assessment, including second-Moment and Transformation Methods, and Probabilistic Evaluation of Existing Structures.
Journal ArticleDOI
Exact and Invariant Second-Moment Code Format
A. M. Hasofer,Niels C. Lind +1 more
TL;DR: In this article, a fundamental analysis of the meaning of second-moment reliability in multivariate problems is presented, and the format described is entirely derived from one basic assumption concerning the measurement of reliability.
Journal ArticleDOI
A new study on reliability-based design optimization
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.
Journal ArticleDOI
A procedure for robust design: Minimizing variations caused by noise factors and control factors
TL;DR: This variation embodies the integration of the Response Surface Methodology (RSM) with the compromise Decision Support Problem (DSP) and is especially useful for design problems where there are no closed-form solutions and system performance is computationally expensive to evaluate.