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. 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. In this paper a new approach to the reliabilitybased robust design optimization rbrdo of angleply composite laminate structures is presented. First, as the formulation stage, we consider reliability and robustness simultaneously to propose the new formulation of reliabilitybased robust design optimization rbrdo problems. To examine the efficiency and robustness of the proposed rbdo based the.
The theory of reliability sensitivity analysis and reliability based optimization robust design are extended to discuss the reliability design of electronic system. Koh, multiobjective optimization approach to reliabilitybased robust global optimization of electromagnetic device, the international journal for computation and mathematics in. The problem is defined as a biobjective robust design optimization rdo problem, with deterministic and probabilistic constraints. An integration design optimization framework of robust design, axiomatic design, and reliabilitybased design 15 february 2011 quality and reliability engineering international, vol. Pick one of the advanced numerical methods offered by our robust and reliabilitybased design optimization module. In many modern engineering tasks, analytical product performance functions may not be available but their numerical models or surrogate models could be in use. The present work proposes a new methodology for such a decoupled approach that separates optimization. This paper investigates the structural design optimization to cover both the reliability and robustness under uncertainty in design variables. Single discipline simulations used for analysis are being coupled together to create complex coupled simulation tools. With ansys optislangs unique capabilities, you can perform product development with high economic efficiency. Robust design optimization and reliability based design optimization are unified in a formulation which streamlines the setup of optimization problems. This paper attempts to integrate a derivativefree probability analysis method to reliabilitybased robust design optimization rbrdo.
In general, reliability is defined as the ability to start and continue to operate. Reliabilitybased robust design optimization of structures. To address this problem, a hybrid reliability based robust design optimization rrdo method is proposed. To avoid that even slight variations of the design parameters negatively impact the expected product quality, robust optimization takes design parameter variability into account and subsequently applies robustness concepts and methods to ensure a robust design. The design variables x1 and x2 have the normal distribution with standard deviation of. An efficient serialloop strategy for reliabilitybased robust optimization of electromagnetic design problems. In section 5 a determinacy optimization design is performed based on software isight.
With the increasing complexity of engineering systems, ensuring high system reliability and system performance robustness throughout a product life cycle is of vital importance in practical engineering design. Need for accounting robustness and reliability in engineering design is well understood and being researched. 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. Robust design, axiomatic design, and reliabilitybased design provide effective approaches to deal with quality problems, and their integration will achieve better quality improvement. Robust and reliabilitybased design optimization under epistemic uncertainty. A robust and reliability based design optimization. The reliabilitybased design optimization, the reliability sensitivity analysis and robust design method are employed to present a practical and effective approach for reliabilitybased robust design optimization of vehicle components. Robust design and reliabilitybased design optimization nafems seminar optimization in structural mechanics, 2005 stephan blum, jorg riedel dynardo gmbh mehrzieloptimierung durch evolutionare algorithmen 1.
By consciously considering the noise factors environmental variation during the products usage, manufacturing variation, and component deterioration and the cost of failure in the field the robust design method helps ensure customer satisfaction. This study investigates the advantages and disadvantages of using probabilistic optimization methods in aircraft structural design. The algorithm will also include conceptual design frameworks, mathematical derivation for six sigma capability upfront to enable design teams to disregard concepts that are not capable upfront, learning the software development cycle and saving development costs. Firstly, a method of measuring the relative importance sensitivity analysis of each element of system is studied. Thus, to reduce extensive computations of rbdo, one could decouple the optimization and reliability analysis. Results from the case study have shown that by implementing the developed optimization approach, a scn is able to achieve a 90% of required reliability while minimizing uncertainty impact. Robust design method, also called the taguchi method, pioneered by dr. Uncertainty quantification, robust design optimization. Enhancing product robustness in reliabilitybased design. Detours have been introduced to investigate features related to a particular design step in more detail. An integration design optimization framework of robust. 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.
Robust and reliabilitybased design optimization of a. Savage 2 electrical engineering, harbin institute of technology, harbin, heilongjiang, china. The eigenvector dimension reduction edr method is used for the probability analysis method. The design is quickly improved from cycle to cycle and the computational efficiency is improved significantly. In this study, reliabilitybased robust design optimization rbrdo for polymer nanocomposites pncs design is conducted to secure the reliability of design conditions concerning the electrical percolation threshold and carbon nanotube cnt aspect ratio as well as the robustness for electrical conductivity. Reliabilitybased optimization robust design of electronic. Software for process integration and multidiscipline design optimization. An efficient serialloop strategy for reliabilitybased. Optimization rbdo and the hybrid robust and reliabilitybased design optimization. Reliabilitybased robust design optimization of vehicle. Because of the complex nature of composite structures, the need of surrogate. Optimization under each one of these concepts is known as robust design optimization rdo and reliabilitybased design optimization rbdo.
Sequential optimization and reliability assessment method. Reliabilitybased design optimization software package for. Esteco and beta cae systems hosted a joint webinar on july 12th 2017, presenting a reliability based robust design optimization application to a freefalllifeboat esteco hosted dimitris drougkas from beta cae systems who demonstrated the advantages of the integration of their software in the modefrontier multiobjective design environment for a reliability based optimization of a free fall. Esteco and beta cae systems hosted a joint webinar on july 12th 2017, presenting a reliabilitybased robust design optimization application to a freefalllifeboat esteco hosted dimitris drougkas from beta cae systems who demonstrated the advantages of the integration of their software in the modefrontier multiobjective design environment for a reliability based optimization. Reliability based robust design in geotechnical engineering. Nov 24, 2017 the purpose of this paper is to propose a robust formulation for reliability based design optimization rrbdo that combines the advantages of both optimization procedures and overcomes their weaknesses. It allows a product improvement with a corresponding quantification and assurance of quality. Calibration of control software including engine and transmission is a major. Rbdo is performed to find the optimum design that satisfies a target reliability on power generation, while accounting for uncertainty in material properties and geometric parameters, and compared to deterministic optimization do. The optimization model proposed overcomes the limitations of the existing models without compromising the reliability level, by considering a. Choi a, liu du a, david gorsich b a department of mechanical and industrial engineering, college of engineering, the university of iowa, iowa city, ia 52241, united states b us army rdecomtardec amsrdtarn, ms 157, 6501 east 11 mile road, warren, mi 483975000. Research article reliabilitybased robust design optimization of structures considering uncertainty in design variables shujuanwang, 1 qiuyangli, 1 andgordonj. Two engineering applications, the reliabilitybased 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.
In the first part the paper gives an overview over the state of the art in stochastic optimization methods such as robust design and reliabilitybased design optimization. A supply chain network design must maintain its efficiency over time while coping with the uncertainty in production and transportation. Stochastic reliability measurement and design optimization of. Robust design optimization and reliability based design optimization are merged into a uni ed formulation which streamlines the setup of optimization problems and aims at preventing foreseeable implementation issues. Applying a stochastic approach to product design manually is not an easy task and is insufficient in most of the cases. This paper outlines an architecture for simultaneous analysis, robustness, and reliability calculations in aircraft wing design optimization. Kunath dynardo gmbh master of design caebased robust design optimization with optislang. Dimension reduction method for reliabilitybased robust. Robust optimization is a field of optimization theory that deals with optimization problems in which a certain measure of robustness is sought against uncertainty that can be represented as deterministic variability in the value of the parameters of the problem itself and or its solution. Robustness was first introduced by taguchi in 1987 to help find solutions that are less sensitive to unknown. Esteco webinar recording reliability based robust design. Mar 17, 2014 this paper outlines an architecture for simultaneous analysis, robustness, and reliability calculations in aircraft wing design optimization.
This paper presents a comparative study of different. The pioneer of the robust design methodology is the japanese engineer genichi taguchi. The theory of reliability sensitivity analysis and reliabilitybased optimization robust design are extended to discuss the reliability design of electronic system. Reliabilitybased robust design optimization rbrdo is one of the most essential tools developed in recent years to improve the quality and reliability of the products at an early design stage. Finally, a biobjective optimization is performed to obtain an optimal design among the. Robust optimization noesis solutions noesis solutions. Reliabilitybased design optimization rbdo is a specific type of optimization process that takes into account input variability. Research article reliability based robust design optimization of structures considering uncertainty in design variables shujuanwang, 1 qiuyangli, 1 andgordonj. Learn more about robust optimization, optimization, reliability based robust optimization. In this research, we present a reliabilitybased design optimization. In this paper, a case study of the fflb optimization is presented using a fsi solver. Ansa software is used to morph the fflb mesh by editing its shape and its initial position, and modefrontier software is used to automate the simulations and perform the.
Reliabilitybased robust multiobjective optimization. This integrated model gives reliable and robust optimum design values by minimizing the probability of failure and quality. The optimization problem, including the reliability constraints, is solved as before in optimtool. Follow 43 views last 30 days raghavi b on 4 jun 2016. Multiobjective robust design of the double wishbone. And then, after establishing the mathematic model for reliability optimization, a procedure for robust design is. The contractor shall research, design, and develop a reliability based design optimization method and software package for multidisciplinary ground vehicle applications under input uncertainty. The necessity to achieve a design insensitive to systems variations robust and less likely to fail reliable is addressed, in order to reduce costs and risk of accidents. Pick one of the advanced numerical methods offered by our robust and reliability based design optimization module. Reliabilitybased design optimization strategies based on. In this research, we present a reliability based design optimization rbdo study of vibration energy harvesters. Dynamic reliability analysis, which is generally encountered due to timevariant system random inputs, becomes a primary challenge in reliabilitybased robust design optimization. Apr 27, 2015 the reliabilitybased optimization, the reliability based sensitivity analysis and robust design method are employed to propose an effective approach for reliabilitybased robust design optimization of vehicle components in part i.
Finite element analysis is based on the finite element method for static, normal modes, direct and. In this paper, we present an improved general methodology including four stages to design robust and reliable products under uncertainties. Reliabilitybased robust design optimization using the edr method. 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. In this research, we present a reliabilitybased design optimization rbdo study of vibration energy harvesters. In a reliabilitybased design optimization rbdo, computation of the failure probability pf at all design points through the process may suitably be avoided at the early stages. 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. Robust formulation for reliabilitybased design optimization. This thesis proposes formulations and algorithms for robust design optimization with uncertainty representation and propagation considering both aleatory e. 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. Choi a, liu du a, david gorsich b a department of mechanical and industrial engineering, college of engineering, the university of iowa, iowa city, ia 52241, united states. However, the actual practice of applying robustness and reliability methods to high fidelity cae based simulations, especially during optimization is just starting to gain traction in last few years.
Robust design optimization rdo rdo combines methods of design optimization with robustness evaluation. An integration design optimization framework of robust design, axiomatic design, and reliabilitybased design is proposed in this paper. Novel decoupled framework for reliabilitybased design. Reliabilitybased robust design optimization of polymer. It has been demonstrated that the edr method is more accurate and effi. 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. Reliabilitybased design and robust design are probabilistic strategies traditionally used for this purpose. The contractor shall demonstrate integration of the rbdo code with commercialnoncommercial codes. Reliabilitybased robust design optimization with the.
This proposal constitutes an algorithm of design applying the design for six sigma thinking, tools, and philosophy to software design. A procedure for reliabilitybased robust design optimization of vehicle components is proposed. Pdf a robust and reliabilitybased design optimization. A first part of the problem set attempts to simulate the design process for examples that are typical for the lsdyna user. Robust and reliabilitybased design optimization framework. First, as the formulation stage, we consider reliability and robustness simultaneously to propose the new formulation of reliability based robust design optimization rbrdo problems. The power output of a vibration energy harvesting device is highly sensitive to uncertainties in materials, manufacturing, and operating conditions. Reliabilitybased robust design optimization using the edr. The behavior of composite materials is largely affected by uncertainties on its own parameters and exterior actions.
Dynamic reliabilitybased robust design optimization with. Furthermore, robust design optimization applied to composite structures under probabilistic constraints reliability is a very important field due to uncertainties on failure process. However, the actual practice of applying robustness and reliability methods to high fidelity cae based simulations, especially during optimization is just starting to gain traction in last f. Reliability based robust optimization using fmincon. Reliabilitybased robust design optimization of dynamic. Dimension reduction method for reliabilitybased robust design optimization ikjin lee a, k. Department of industrial and manufacturing engineering, north dakota state university, fargo, nd.
Uncertainty quantification uq robust design optimization rdo reliabilitybased design optimization rbdo. 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. Robust design optimization and reliabilitybased design optimization are unified in a mixed formulation, which streamlines the setup of optimization problems and aims at preventing foreseeable implementation issues in uncertaintybased design while ensuring that the performance hit of robustnessreliability assessments is kept to a minimum. Pdf robust and reliability based design optimization. Comparing robust design optimization and reliability based. 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 subject to prescribed probabilistic constraints by solving a mathematical nonlinear. This investigation focuses on the development of efficient and robust methodologies for reliability based design optimization in a simulation based design environment. The uncertainty is quantified stochastically based on the method of your choice monte carlo, latin hypercube, polynomial chaos. Since robust design is fundamentally considering the variations of the design variables and other parameters, it is very natural to integrate robust design and reliability based design in one formulation.
In the present contribution, reliabilitybased robust design optimization rbrdo is formulated as a multiobjective problem considering the interaction of both approaches. Efficient methods for industrial robust design optimization nafems seminar optimization and robust design 2015, wiesbaden. This paper attempts to integrate a derivativefree probability analysis method to reliability based robust design optimization rbrdo. The main objective is to improve the efficiency of the optimization process. Sequential optimization and reliability assessment method for. In addition, global response surface techniques as well as genetic programming in combination with.
Apply robust and reliabilitybased optimization to avoid opting for designs that perform. Reliabilitybased design optimization energy harvesting. Design robust, reliable products with our module dedicated to uncertainty. Reliability based robust design optimization rbrdo combines of reliability based design optimization rbdo and robust design optimization rdo.
Robust design and reliabilitybased design optimization. The reliabilitybased optimization, the reliability based sensitivity analysis and robust design method are employed to propose an effective approach for reliabilitybased robust design optimization of vehicle components in part i. Reliability baseddesign optimization using the directional. In the first part the paper gives an overview over the state of the art in stochastic optimization methods such as robust design and reliability based design optimization. Prior to the design optimization, the sobol sensitivity analysis is. Reliability based design optimization rbdo problems are important in engineering. Reliabilitybased optimization noesis solutions noesis. It is a tool for design process definition, integration, execution, and automation.
Genesis structural analysis and optimization software what it is. Genichi taguchi, greatly improves engineering productivity. According to phadke 1, the principle is to improve the product quality by minimizing the variance of the properties without eliminating the. Robust and reliabilitybased design optimization framework for. Visualdoc is a general purpose multidiscipline design optimization and process integration software. Reliability analysis and robust design optimization using. Research article reliabilitybased robust design optimization. Applications of the method are further discussed for reliabilitybased robust optimization of vehicle components in this paper. Robust design optimization and reliability based design optimization are.
In this paper, we define six sigma in an engineering design context and present an implementation of design for six sigma a robust optimization formulation that incorporates approaches from structural reliability and robust design with. Developing other efficient moo algorithms for the integrated robust and reliability based design optimization problem is one of our future research. Dimension reduction method for reliability based robust design optimization ikjin lee a, k. Genesis structural analysis and optimization software is a fully integrated analysis and design optimization software package, written by leading experts in structural optimization.