Microsoft Word - ASME-Metamodeling-6-12-06
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Microsoft Word - ASME-Metamodeling-6-12-06
ASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06ept, of Mechanical and Manufacturing Engineering The University of Manitoba Winnipeg. MB. R3T 5V6Tel: (204) 474-9463 Fax: (204) 275-7507 Email: gary_wang@umanitoba.caAbstractComputation-intensive design problems are becoming increasingly common in manufacturing industries. The computation burden is Microsoft Word - ASME-Metamodeling-6-12-06often caused by expensive analysis and simulation processes in order to reach a comparable level of accuracy as physical testing data. To address suchMicrosoft Word - ASME-Metamodeling-6-12-06
a challenge, approximation or metamodeling techniques are often used. Metamodeling techniques have been developed from many different disciplines incASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06xpensive simulation process in order to improve the overall computation efficiency. They are then found to be a valuable tool to support a wide scope of activities in modem engineering design, especially design optimization. This work reviews the state-of-the-art metamodel-based techniques from a pr Microsoft Word - ASME-Metamodeling-6-12-06actitioner's perspective according to the role of metamodeling in supporting design optimization, including model approximation, design space exploratMicrosoft Word - ASME-Metamodeling-6-12-06
ion, problem formulation, and solving various types of optimization problems. Challenges and future development of metainodeling in support of engineeASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06 competition, manufacturing companies strive to produce better and cheaper products more quickly. For complex systems such as an aircraft, the design is intrinsically a daunting optimization task often involving multiple disciplines, multiple objectives, and computation-intensive processes for produ Microsoft Word - ASME-Metamodeling-6-12-06ct simulation. Just taking the compulation challenge as an example, it is reported that it takes Ford Motor Company about 36-160 hrs to run one crashMicrosoft Word - ASME-Metamodeling-6-12-06
simulation [ 11. For a two-variable optimization problem, assuming on average 50 iterations are needed by optimization and assuming each iteration neeASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06mputing power, the complexity of analysis codes, such as finite element analysis (FEA) and computational fluid dynamics (CFD). seems to keep pace with computing advances |2|. In the past two decades, approximation methods and approximation-based optimization have attracted intensive attention. This Microsoft Word - ASME-Metamodeling-6-12-06type of approach approximates computationintensive functions with simple analytical models. The simple model is often called metamodel; and the procesMicrosoft Word - ASME-Metamodeling-6-12-06
s of constructing a metamodel is called metamodeling. With a metamodel, optimization methods can then be applied to search for the optimum, which is tASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06elation between experiments and optimization, i.e.. the use of optimization to design experiments, and the use of experiments to support optimization. Il also dedicated a section talking about MBDO with slightly different terminologies. The benefits of MBDO were elaborated as follows: 1) it is easie Microsoft Word - ASME-Metamodeling-6-12-06r to connect proprietary and often expensive simulation codes; 2) parallel computation2becomes simple as it involves running the same simulation at maMicrosoft Word - ASME-Metamodeling-6-12-06
ny design points: 3) building metamodels can belter filter numerical noise than gradient-based methods: 4) the melamodel renders a view of the entire ASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06w on metamodels and MBDO by going through many popular sampling methods (or experimental design methods), approximation models (melamodels), melanuxleling strategies, and applications. Guidelines and recommendations were also given at the end of the paper. A panel discussion about the topic was held Microsoft Word - ASME-Metamodeling-6-12-06 in 2002 in the 9th ATAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis & Optimization in Atlanta. The summary of the panel discussion was arMicrosoft Word - ASME-Metamodeling-6-12-06
chived in [6|. Four future research directions were elaborated as I) sampling methods for computer experiments. 2) visualization of experimental resulASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06niques have been continuously coming forth in the literature. From the lead author's past five years of experience as a session organizer/chair for the ASMF. Design Engineering Technical Conference (DF.TC) on the topic, it also seems that as more and more of these methods being developed, the gap be Microsoft Word - ASME-Metamodeling-6-12-06tween the research community and design engineers keeps widening. Il is probably first because metamodeling is mathematically involving, and second itMicrosoft Word - ASME-Metamodeling-6-12-06
evolves rapidly with rich information from many disciplines. Therefore, a review of the field from a practitioner's view is seen needed. This review ASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06 way to provide a reference of mctamodcling techniques for practitioners. It is also hoped that by examining the needs of design engineers, the research community can better align their research directions towards such3needs. Though great efforts have been exercised to collect as much relevant and i Microsoft Word - ASME-Metamodeling-6-12-06mportant literature ILS possible, it is not the intent of the review to be exhaustive on this intensively studied topic.Roles of Metamodeling In SuppoMicrosoft Word - ASME-Metamodeling-6-12-06
rt of Design OptimizationIntensive research has been done in employing metamodeling techniques in design and optimization. These include research on sASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06ization problems, and so on. Through the years it has become clear that metamodeling provides a decision-support role for design engineers. What are the supporting functions that metamodeling can provide? From our experience and informal interviews with design engineers, with reference to the litera Microsoft Word - ASME-Metamodeling-6-12-06tures (7], the following lists some of the areas that metamodeling can play a role.•Model approximation. Approximation of computation-intensive procesMicrosoft Word - ASME-Metamodeling-6-12-06
ses across the entire design space, or global approximation, is used to reduce computation costs.•Design space exploration. The design space is explorASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06erstanding of a design optimization problem, the number and search range of design variables may be reduced: certain ineffective constraints may be removed; a single objective optimization problem may be changed to a multi-objective optimization problem or vice versa. Metamodel can assist the formul Microsoft Word - ASME-Metamodeling-6-12-06ation of an optimization problem that is easier to solve or more accurate than otherwise.4• Optimization support. Industry has various optimization neMicrosoft Word - ASME-Metamodeling-6-12-06
eds, e.g.. global optimization.multi-objective optimization. multidisciplinary design optimization, probabilisticoptimization, and so on. Each type ofASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06n-intensive functions.Figure 1 .Metamodeling and its role in support of engineering design optimization.As illustrated in Fig. I. metamodeling supports various design activities that are enclosed in small ellipses. The bottom half includes model approximation, problem formulation, and design space e Microsoft Word - ASME-Metamodeling-6-12-06xploration, which form a common supportive base for all types of optimization problems. The upper half lists four major types of optimization problemsMicrosoft Word - ASME-Metamodeling-6-12-06
of interests to design engineers. For each of the above-mentioned areas, related recent development is reviewed. General consensus that has been reacASME TransacMechanical design, 2006. in press.Review of Metamodeling Techniques in Support of Engineering Design OptimizationG. Gary Wang*, s. Shan De Microsoft Word - ASME-Metamodeling-6-12-06 Conventionally the goal of approximation is to achieve a global metamodel as accurate as possible at a reasonable cost. In this section, we focus on global metamodeling and discuss MBDO in later sections. Microsoft Word - ASME-Metamodeling-6-12-06Gọi ngay
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