Reliabilitybased design optimization rbdo is a concept that accounts for uncertainty all along the optimization process. Reliability design optimization of composite structures based. This paper presents a reliability based design optimization rbdo approach for the design of concrete barriers under vehicular crashes. Reliabilitybased design of mems mechanisms by topology optimization, comput. Reliability based design optimization of a real system becomes now an emerging technique to achieve reliability, robustness and safety of the design. Paulino university of illinois, urbana, illinois, usa abstract. Reliabilitybased structural design semantic scholar. However, its use in practical applications is hindered by the huge computational cost during the evaluation of structure reliability.
It prioritizes six design hierarchies through six dimensions. The objectives of this chapter have one common target that is to define the reliability based optimization design for a water distribution network using modelling technique of matlab programming language. Simultaneousperturbation stochastic approximation with common random numbers is used in this study for this purpose and a complete framework for efficient reliabilitybased optimization is. Jun 04, 2016 the design variables x1 and x2 have the normal distribution with standard deviation of 0.
The robust design has an average discomfort level that is higher than that in the reliability based design, resulting in a design with higher damping coefficient values. The optimization problem, including the reliability constraints, is solved as before in optimtool. Traditional design optimization techniques consider uncertainties implicitly by partial safe factors. This paper starts with an overview of the problem of simulation uncertainty. In this paper, the reliability index based decoupling method. Zeng meng, dixiong yang, huanlin zhou and bo yu, an accurate and efficient reliability based design optimization using the second order reliability method and improved stability transformation method, engineering optimization, 10. The dimensions are integrated systems, material economy, reliability on spatial scale, resiliency on temporal scale, and cost effectiveness. C reliability based optimization and robust design of coil. In order to alleviate the computational burden in dynamic topology optimization, the multiresolution topology optimization approach is adopted.
Some applications of reliability based design optimization. Development of a reliabilitybased design optimization. Reliabilitybased design optimization using efficient. Robust and reliabilitybased design optimization framework.
Efficiency of reliability based design optimization rbdo methods is a critical criterion as to whether they are viable for realworld problems. In addition, this book explains how to use stochastic expansions, including polynomial chaos expansion and karhunenloeve expansion, for the optimization and the reliability analysis of practical engineering problems. It would be shown that reliability versus weight traced out an invertedsshaped graph. Accounting for uncertainty in upfront design process improves design performance and quality matlab, statistics, and optimization products provide tools needed for reliability analysis and robust design capture and model uncertainty find optimal and robust design. However, reliabilitybased design optimization rbdo methods account for uncertainties explicitly.
Barrier function method in reliability based design. The robust design has an average discomfort level that is higher than that in the reliabilitybased design, resulting in a design with higher damping coefficient values. Reliabilitybased topology optimization using meanvalue secondorder saddlepoint approximation. The design variables x1 and x2 have the normal distribution with standard deviation of. Reliabilitybased design optimization university of illinois at. Reliability based design optimization using e cient global reliability analysis barron j. Reliability based design optimization rbdo uses the mean values of the random system parameters as design variables, and optimizes the objective function subject to predefined probabilistic constraints such as failure probability or reliability index. It has been programmed in a matlab code which manages the calls to structural analysis and optimization software needed to solve the rbdo problem. Reliabilitybased design optimization of automotive structures 200726055. Reliabilitybased optimization for multidisciplinary system. This paper presents a simple matlab implementation for a level setbased topology optimization method in which the level set function is updated using a reaction diffusion equation, which is different from conventional level setbased approaches allaire et al. Reliabilitybased topology optimization using meanvalue.
Reliability based design of fiber reinforced plastics frp laminates and composite cylindrical shells 3. The codes for reliability analysis and structural optimization comprise of the direct monte carlo and markov chain monte carlo. Reliabilitybased design optimization using e cient global reliability analysis barron j. Reliability based design optimization takes into account the uncertainties in the design in order to meet the user requirement of the specified reliability while seeking optimal solution. Eldredz yysouthwest research institute, san antonio, tx 78238 kvanderbilt university, nashville, tn 37235 sandia national laboratoriesx, albuquerque, nm 87185 finding the optimal lightest, least expensive, etc. Reliabilitybased design optimization of automotive. For such cases however, royset and polak 2004a,b proposed the socalled sample average approximation method which consists in gradually re. In addition, an assessment method for the confidence level of the surrogate model and a conservative surrogate model to account the uncertainty of the prediction on the untested design domain when the number of samples are limited, are developed and integrated into. L reliability based design of automobile components. Chapter in bookreportconference proceeding chapter. Eldredz yysouthwest research institute, san antonio, tx 78238. Reliabilitybased optimization rbo, reliabilitybased design rbd and reliabilitybased design optimization rbdo these terms appear in the literature and represent a combined strategy where we have to deal with the repeated evaluation of an objective function optimization and repetitive evaluations of a limit state function. Several such tools are discussed in references 1 and 2.
An abstract of a thesis submitted in partial fulfillment. Reliability based robust optimization using fmincon. Jan 10, 2018 a reliability based topology optimization rbto approach is presented using a new meanvalue secondorder saddlepoint approximation mvsosa method to calculate the probability of failure. Reliabilitybased optimization for multidisciplinary. Recently, a novel method referred to as bayesian reliabilitybased design optimization brbdo was proposed to properly handle design problems when engaging both epistemic and aleatory uncertainties 1. Development of a reliability based design optimization toolbox 275 where is the standard gaussian cumul ated distribution function and is th e reliability index defined by hasofer and lind 1974. Singleloop system reliability based design optimization. A proper design procedure must reasonably account for the inherent uncertain nature of a structural system and associated external load. Reliability based design optimization of a mash tl3. Pdf reliability based design optimization by using. Rao has published more than 125 technical papers in internationally reputed journals and more than 100 papers in conference proceedings in the areas of engineering optimization, reliabilitybased design, fuzzy systems, active control of structures, concurrent design, and vibration engineering. The design optimization problem can be summarized as follows. Our attempt to address this challenge continues with the discussion of reliability based design optimization rbdo. Some applications of reliability based design optimization in.
Reliability based design optimization rbdo has emerged as an alternative to properly model the safetyunderuncertainty aspect of the optimization problem. With rbdo, one can ensure that a minimum and measurable level of safety, chosen a priori by the designer, is maintained by the optimum structure. Some applications of reliability based design optimization in engineering structures c. Reliability based design optimization rbdo evaluates variation of output induced by uncertainties of design variables and results in an optimal design while satisfying the reliability requirements. However, reliability based design optimization rbdo methods account for uncertainties explicitly. The theory is illustrated by real automotive design problems. Classificationbased optimization and reliability assessment. Reliabilitybased design optimization rbdo uses the mean values of the random system parameters as design variables, and optimizes the objective function subject to predefined probabilistic constraints such as failure probability or reliability index. The set optimization can be combined with any stochastic search optimization algorithm for enhanced overall efficiency. Development of a reliabilitybased design optimization toolbox 275 where is the standard gaussian cumul ated distribution function and is th e reliability index defined by hasofer and lind 1974. Recently, a novel method referred to as bayesian reliability based design optimization brbdo was proposed to properly handle design problems when engaging both epistemic and aleatory uncertainties 1. The book can also be used as a reference text by industrial, quality and process engineers and applied statisticians working in industry, in particular, in semiconductor.
Reliabilitybased design optimization strategies based on. Modelling reliability based optimization design for water distribution networks. The reliabilitybased design still performs better than the initial design. In optimization, the optimum design is located in the feasible space. Reliabilitybased design optimization of a composite. This paper presents the method to solve reliability based design optimization rbdo of steel box girder bridge using computer program which is developed by integrating matlab optimization toolbox and reliability analysis subroutine. Seismic reliabilitybased design optimization of reinforced. Engineering optimization theory and practice fourth edition singiresu s. Reliability analysis and robust design optimization using. An illustrative example shows that conventional deterministic design optimization cannot ensure designs with satisfactory reliability levels, whereas the reliabilitybased design optimization can achieve the objective when uncertainties are considered. Reliabilitybased optimal design by efficient stochastic. Hernandez structural mechanics research group, school of civil engineering, university of a coruna, spain abstract structures are subject to uncertainty parameters that need to be considered in the design process.
Reliability analysis method to compute the reliability or probability of failure. Part of the lecture notes in electrical engineering book series lnee, volume 123. The book can also be used as a reference text by industrial, quality and process engineers and applied statisticians. Reliabilitybased design optimization using surrogate. Here, the fast probabilistic integrator fpi module of the nessus. Structures are subject to uncertainty parameters that need to be considered in the design process. Matlab code for a level set based topology optimization. A hybrid reliabilitybased design optimization approach with. The key focus is then on the description of the most commonly used methods and enabling tools for reliability analysis and reliability based design optimization. This design optimization method combined nonlinear finite element fe analyses, a metamodeling technique, monte carlo simulations mcs, and a genetic algorithm ga. Numerous analytical and numerical examples and problems are used to illustrate the principles and. Reliability analysis and robust design using matlab products. This paper proposes a singleloop system reliability based design optimization srbdo ap.
The data from ansys and matlab are exchanged, back and forth, with each other in the whole optimization process. The objective here is to obtain an economic and safe design. Bayesian reliabilitybased design optimization using. Reliabilitybased design optimization using sorm and sqp. Post optimization for accurate and efficient reliability. Pdf reliability based design optimization of longspan bridges. To overcome this difficulty, barrier function approach in reliability based design optimization is proposed in this research and feasible solution with specified reliability index is always provided if a feasible solution is available. Reliabilitybased design optimization rbdo evaluates variation of output induced by uncertainties of design variables and results in an optimal design while satisfying the reliability requirements. Reliability design optimization of composite structures. Reliabilitybased design optimization requires a probabilistic analysis tool. In the rbdo model for robust system parameter design, the mean values of the random system parameters are usually used as design variables, and the cost is optimized.
Basically, the deterministic performance model is wrapped into a more realistic probabilistic constraint which is referred to as the failure probability. Jun 17, 2018 our attempt to address this challenge continues with the discussion of reliability based design optimization rbdo. A statistical approach is a textbook for a course in experimental optimization techniques for industrial production processes and other noisy systems where the main emphasis is process optimization. In this work the class of design problems which are considered, are designs characterized by a minimum merit function and that satisfy certain reliability constraints.
Development of the analysis software of reliability based on the. Reliabilitybased design optimization using efficient global. Singleloop system reliability based design optimization srbdo using matrixbased system reliability msr method t. Department of mechanical engineering, korea advanced institute of. Traditional reliabilitybased design optimization rbdo approaches are computationally expensive for complicated problems. Optimizing the structural behaviour while taking into account. Pdf development of a reliabilitybased design optimization. The reliability based design optimization is applied to longspan suspension. The book can be used for senior or duallevel courses on reliability. Reliability based design optimization of steel box girder. Reliabilitybased design optimization using surrogate model.
Reliability based optimization rbo for engineering design deals mainly with two design attributes, namely the merit, for example cost, and the reliability of the design. Our attempt to address this challenge continues with the discussion of reliabilitybased design optimization rbdo. Rao, phd, is a professor and chairman of the department of mechanical engineering at the university of miami. Modelling reliability based optimization design for water. Firstorder approximation methods in reliabilitybased design.
In structural optimization, nondeterministic performance of structures can be taken into account using robust design optimization rdo and reliability based design optimization rbdo. These design hierarchies are prevention, recovery, separation, treatment, remediation, and optimization. Idea in briefleveraging advanced processor functionality to facilitate ease of design has been discussed throughout recent decades. The objectives of this chapter have one common target that is to define the reliabilitybased optimization design for a water distribution network using modelling technique of matlab programming language. In structural optimization, nondeterministic performance of structures can be taken into account using robust design optimization rdo and reliabilitybased design optimization rbdo. A 99 line topology optimization code written in matlab. This paper summarize our work so far on reliability based design optimization rbdo by using metamodels and present some new ideas on rbdo using support vector machines. These studies show the necessity and possibility of the curve design based on reliability analysis, but they do. Reliabilitybased design optimization of highway horizontal curves based on. A reliability index based decoupling method for reliability.
Description reliability engineering is intended for use as an introduction to reliability engineering, including the aspects analysis, design, testing, production and quality control of engineering components and systems. Rao has published more than 125 technical papers in internationally reputed journals and more than 100 papers in conference proceedings in the areas of engineering optimization, reliability based design, fuzzy systems, active control of structures, concurrent design, and vibration engineering. Firstorder approximation methods in reliabilitybased. Based on the polygonal finite element method and multiresolution topology optimization techniques, a method of polygonal multiresolution topology optimization for statics and dynamics problems is developed. This paper presents two efficient and compact matlab codes of subset simulation for reliability analysis and structural optimization. Rao has published more than 175 technical papers in internationally respected journals and more than 150 papers in conference proceedings in the areas of engineering optimization, reliability based design, fuzzy systems, uncertainty models, structural and mechanical. Barrier function method in reliability based design optimization. Reliability based design optimization by using metamodels. Matlab codes of subset simulation for reliability analysis. However, when a design problem involves a large number of epistemic variables, the computation task for brbdo becomes extremely expensive.
Oct 10, 2010 an illustrative example shows that conventional deterministic design optimization cannot ensure designs with satisfactory reliability levels, whereas the reliability based design optimization can achieve the objective when uncertainties are considered. Efficiency of reliabilitybased design optimization rbdo methods is a critical criterion as to whether they are viable for realworld problems. The lrfd load and resistance factor design format of rbd is used by the aashto specifications, and the major developments relevant to pile design in general and dynamic testing in particular will be presented. This paper discusses the requirement for cae methods to properly take into account the variabilities and uncertainties that characterizes design input properties without leading to oversized structures. Rao has published more than 175 technical papers in internationally respected journals and more than 150 papers in conference proceedings in the areas of engineering optimization, reliabilitybased design, fuzzy systems, uncertainty models, structural and mechanical design, and vibration engineering. Pdf some applications of reliability based design optimization in. Reliability based robust optimization using fmincon matlab. Rbdo is a probabilistic approach to engineering system design that accounts for the stochastic nature of engineered systems. Learn more about robust optimization, optimization, reliability based robust optimization. Pdf the reliability based design optimization is applied to longspan. These methods find an optimum design that verifies several reliability constraints. Early rbdo methods are thus based primarily on the firstorder reliability method form due to its efficiency.
To illustrate the proposed formulation, reliability based design optimization of a bracket design is performed. Finite element method, and stochastic optimization. Robust design optimization and reliability based design optimization are unified in a mixed formulation, which streamlines the setup of optimization problems and aims at preventing foreseeable implementation issues in uncertainty based design while ensuring that the performance hit of robustness reliability assessments is kept to a minimum. Reliabilitybased design of fiber reinforced plastics frp laminates and composite cylindrical shells 3. Modelbased design of advanced motor control systems. This paper presents a reliabilitybased design optimization rbdo approach for the design of concrete barriers under vehicular crashes. Reliabilitybased optimization rbo for engineering design deals mainly with two design attributes, namely the merit, for example cost, and the reliability of the design. Reliability engineering is intended for use as an introduction to reliability engineering, including the aspects analysis, design, testing, production and quality control of engineering components and systems.