Confidence-based Model Validation for Reliability Assessment and Its Integration with Reliability-based Design Optimization

Confidence-based Model Validation for Reliability Assessment and Its Integration with Reliability-based Design Optimization

Author: Min-Yeong Moon

Publisher:

Published: 2017

Total Pages: 135

ISBN-13:

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The developed confidence-based model validation will provide a conservative RBDO optimum design at the target confidence level. However, it is challenging to obtain steady convergence in the RBDO process with confidence-based model validation because the feasible domain changes as the design moves (i.e., a moving-target problem). To resolve this issue, a practical optimization procedure, which terminates the RBDO process once the target reliability is satisfied, is proposed. In addition, the efficiency is achieved by carrying out deterministic design optimization (DDO) and RBDO without model validation, followed by RBDO with the confidence-based model validation. Numerical examples are presented to demonstrate that the proposed RBDO approach obtains a conservative and practical optimum design that satisfies the target reliability of designed product given a limited number of experimental output data. Thus far, while the simulation model might be biased, it is assumed that we have correct distribution models for input variables and parameters. However, in real practical applications, only limited numbers of test data are available (parameter uncertainty) for modeling input distributions of material properties, manufacturing tolerances, operational loads, etc. Also, as before, only a limited number of output test data is used. Therefore, a reliability needs to be estimated by considering parameter uncertainty as well as biased simulation model. Computational methods and a process are developed to obtain confidence-based reliability assessment. The insufficient input and output test data induce uncertainties in input distribution models and output distributions, respectively. These uncertainties, which arise from lack of knowledge - the insufficient test data, are different from the inherent input distributions and corresponding output variabilities, which are natural randomness of the physical system.


Input Model Uncertainty and Reliability-based Design Optimization with Associated Confidence Level

Input Model Uncertainty and Reliability-based Design Optimization with Associated Confidence Level

Author: Yoojeong Noh

Publisher:

Published: 2009

Total Pages: 340

ISBN-13:

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The performance of the proposed method is investigated and compared with an existing method, the goodness-of-fit (GOF) test. Using the identified input model, the transformation from original input variables into independent Gaussian variables is carried out, and then the first-order reliability method (FORM), which has been commonly used in reliability analysis, is carried out. However, when the input variables are correlated with non-elliptical copulas, the FORM may yield different reliability analysis results with some errors for different transformation orderings of input variables due to the nonlinearities of the transformed constraint functions. For this, the MPP-based DRM, which more accurately and efficiently calculates the probability of failure than the FORM and the second-order reliability method (SORM), respectively, is used to reduce the effect of transformation ordering in the inverse reliability analysis and, thus, RBDO. However, when the number of experimental data is limited, the estimated input joint CDF will be inaccurate, which will lead to inaccurate RBDO result. Thus, a method to assess the confidence level of the input model uncertainty in RBDO is developed, and the input model with confidence level is implemented for RBDO.


Reliability-based Design Optimization Using Surrogate Model with Assessment of Confidence Level

Reliability-based Design Optimization Using Surrogate Model with Assessment of Confidence Level

Author: Liang Zhao

Publisher:

Published: 2011

Total Pages: 151

ISBN-13:

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In this DKG method, a generalized pattern search algorithm is used to find the accurate optimum for the correlation parameter, and the optimal mean structure is set using the basis functions that are selected by a genetic algorithm from the candidate basis functions based on a new accuracy criterion. Plus, a sequential sampling strategy based on the confidence interval of the surrogate model from the DKG method, is proposed. By combining the sampling method with the DKG method, the efficiency and accuracy can be rapidly achieved. Using the accurate surrogate model, the most-probable-point (MPP)-based RBDO and the sampling-based RBDO can be carried out. In applying the surrogate models to MPP-based RBDO and sampling-based RBDO, several efficiency strategies, which include: (1) using local window for surrogate modeling; (2) adaptive window size for different design candidates; (3) reusing samples in the local window; (4) using violated constraints for surrogate model accuracy check; (3) adaptive initial point for correlation parameter estimation, are proposed. To assure the accuracy of the surrogate model when the number of samples is limited, and to assure the obtained optimum design can satisfy the probabilistic constraints, a conservative surrogate model, using the weighted Kriging variance, is developed, and implemented for sampling-based RBDO.


Engineering Design Reliability Handbook

Engineering Design Reliability Handbook

Author: Efstratios Nikolaidis

Publisher: CRC Press

Published: 2004-12-22

Total Pages: 1216

ISBN-13: 0203483936

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Researchers in the engineering industry and academia are making important advances on reliability-based design and modeling of uncertainty when data is limited. Non deterministic approaches have enabled industries to save billions by reducing design and warranty costs and by improving quality. Considering the lack of comprehensive and defini


Reliability-based Structural Design

Reliability-based Structural Design

Author: Seung-Kyum Choi

Publisher: Springer Science & Business Media

Published: 2006-11-15

Total Pages: 309

ISBN-13: 1846284457

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This book provides readers with an understanding of the fundamentals and applications of structural reliability, stochastic finite element method, reliability analysis via stochastic expansion, and optimization under uncertainty. It examines the use of stochastic expansions, including polynomial chaos expansion and Karhunen-Loeve expansion for the reliability analysis of practical engineering problems.


Reliability

Reliability

Author: Wallace R. Blischke

Publisher: John Wiley & Sons

Published: 2000-03-27

Total Pages: 852

ISBN-13: 9780471184508

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Bringing together business and engineering to reliability analysis With manufactured products exploding in numbers and complexity, reliability studies play an increasingly critical role throughout a product's entire life cycle-from design to post-sale support. Reliability: Modeling, Prediction, and Optimization presents a remarkably broad framework for the analysis of the technical and commercial aspects of product reliability, integrating concepts and methodologies from such diverse areas as engineering, materials science, statistics, probability, operations research, and management. Written in plain language by two highly respected experts in the field, this practical work provides engineers, operations managers, and applied statisticians with both qualitative and quantitative tools for solving a variety of complex, real-world reliability problems. A wealth of examples and case studies accompanies: * Comprehensive coverage of assessment, prediction, and improvement at each stage of a product's life cycle * Clear explanations of modeling and analysis for hardware ranging from a single part to whole systems * Thorough coverage of test design and statistical analysis of reliability data * A special chapter on software reliability * Coverage of effective management of reliability, product support, testing, pricing, and related topics * Lists of sources for technical information, data, and computer programs * Hundreds of graphs, charts, and tables, as well as over 500 references


Reliability Based Design Optimization of Systems with Dynamic Failure Probabilities of Components

Reliability Based Design Optimization of Systems with Dynamic Failure Probabilities of Components

Author: Arun Bala Subramaniyan

Publisher:

Published: 2016

Total Pages: 56

ISBN-13:

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This research is to address the design optimization of systems for a specified reliability level, considering the dynamic nature of component failure rates. In case of designing a mechanical system (especially a load-sharing system), the failure of one component will lead to increase in probability of failure of remaining components. Many engineering systems like aircrafts, automobiles, and construction bridges will experience this phenomenon.In order to design these systems, the Reliability-Based Design Optimization framework using Sequential Optimization and Reliability Assessment (SORA) method is developed. The dynamic nature of component failure probability is considered in the system reliability model. The Stress-Strength Interference (SSI) theory is used to build the limit state functions of components and the First Order Reliability Method (FORM) lies at the heart of reliability assessment. Also, in situations where the user needs to determine the optimum number of components and reduce component redundancy, this method can be used to optimally allocate the required number of components to carry the system load. The main advantage of this method is that the computational efficiency is high and also any optimization and reliability assessment technique can be incorporated. Different cases of numerical examples are provided to validate the methodology.


An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random

An Efficient Method for Reliability-based Design Optimization when the Design Variables are Random

Author: Zhong Ren

Publisher:

Published: 2013

Total Pages: 81

ISBN-13:

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In many design problems, designers typically utilize finite element models to predict the behavior and assess the safety of a system. It is challenging to perform probabilistic analysis, and design a reliable system, because repeated finite element analyses of large models are required, and these models must be coupled with an optimizer, which is often prohibitively expensive. This thesis presents a methodology for probabilistic analysis and reliability based design optimization (RBDO) to overcome the above challenge. RBDO incorporates probabilistic reanalysis (PRRA) into the optimization process so that the optimum design has a great chance of staying in the feasible design space despite the inevitable variability in the design variables/parameters. PRRA calculates very efficiently the system reliability for many probability distributions of the design variables by performing a single Monte Carlo simulation. Another part of work integrates PRRA with two alternative methods to create a new design tool that can perform reliability based optimization efficiently. The first is Trust Region methodology and the second is a Global-Local methodology. These two methods are demonstrated and compared on a ten-bar truss structure.


Reliability Based Aircraft Maintenance Optimization and Applications

Reliability Based Aircraft Maintenance Optimization and Applications

Author: He Ren

Publisher: Academic Press

Published: 2017-03-19

Total Pages: 262

ISBN-13: 0128126698

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Reliability Based Aircraft Maintenance Optimization and Applications presents flexible and cost-effective maintenance schedules for aircraft structures, particular in composite airframes. By applying an intelligent rating system, and the back-propagation network (BPN) method and FTA technique, a new approach was created to assist users in determining inspection intervals for new aircraft structures, especially in composite structures. This book also discusses the influence of Structure Health Monitoring (SHM) on scheduled maintenance. An integrated logic diagram establishes how to incorporate SHM into the current MSG-3 structural analysis that is based on four maintenance scenarios with gradual increasing maturity levels of SHM. The inspection intervals and the repair thresholds are adjusted according to different combinations of SHM tasks and scheduled maintenance. This book provides a practical means for aircraft manufacturers and operators to consider the feasibility of SHM by examining labor work reduction, structural reliability variation, and maintenance cost savings. Presents the first resource available on airframe maintenance optimization Includes the most advanced methods and technologies of maintenance engineering analysis, including first application of composite structure maintenance engineering analysis integrated with SHM Provides the latest research results of composite structure maintenance and health monitoring systems


Efficient Sequential Reliability-based Design Optimization with Adaptive Kriging Inverse Reliability Analysis

Efficient Sequential Reliability-based Design Optimization with Adaptive Kriging Inverse Reliability Analysis

Author: Richard Walter Fenrich

Publisher:

Published: 2018

Total Pages:

ISBN-13:

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In this thesis, new methods for reliability-based design optimization (RBDO) are presented. The Adaptive Kriging Inverse Reliability Analysis (AKIRA) algorithm and a multifidelity sequential RBDO algorithm are introduced and demonstrated on a complex multidisciplinary supersonic nozzle design problem. AKIRA demonstrates competitive performance with other reliability analysis algorithms while also benefiting from the solution of the inverse reliability analysis problem during RBDO. The proposed sequential RBDO algorithm mitigates the cost of solving the RBDO problem by decoupling the optimization and reliability analyses, thereby reducing its solution to a series of deterministic optimizations. The method is motivated by anchored decomposition, has guaranteed convergence inherited from trust region methods, and is shown in certain cases to be a generalization of existing sequential RBDO methods. It also derives enhanced efficiency by incorporating lower-fidelity models when available. The final demonstration of the proposed algorithms on an industrial-type problem, the supersonic nozzle, shows that the solution of RBDO problems for complex realistic engineering applications is well within reach.