• Title/Summary/Keyword: 다단계최적설계

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A Sequential Optimization Algorithm Using Metamodel-Based Multilevel Analysis (메타모델 기반 다단계 해석을 이용한 순차적 최적설계 알고리듬)

  • Baek, Seok-Heum;Kim, Kang-Min;Cho, Seok-Swoo;Jang, Deuk-Yul;Joo, Won-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.9
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    • pp.892-902
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    • 2009
  • An efficient sequential optimization approach for metamodel was presented by Choi et al. This paper describes a new approach of the multilevel optimization method studied in Refs. [2] and [20,21]. The basic idea is concerned with multilevel iterative methods which combine a descent scheme with a hierarchy of auxiliary problems in lower dimensional subspaces. After fitting a metamodel based on an initial space filling design, this model is sequentially refined by the expected improvement criterion. The advantages of the method are that it does not require optimum sensitivities, nonlinear equality constraints are not needed, and the method is relatively easy to understand and use. As a check on effectiveness, the proposed method is applied to an engineering example.

Multi-Objective Optimization for Orthotrpic Steel Deck Bridges (강상판교의 다목적 최적설계)

  • Cho, Hyo Nam;Chung, Jee Seung;Min, Dae Hong
    • Journal of Korean Society of Steel Construction
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    • v.14 no.3
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    • pp.395-402
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    • 2002
  • This study proposed a muti-objective optimum design method for rational optimizing of orthotropic steel deck bridges. This multi-objective optimum design method was found to be effective in optimizing multi-objective problems, considering cost and deflection functions. It may ve difficult to optimize orthotropic steel deck bridges using a conventional optimization, since the bridges have several parts and show complex structural behaviors. Therefore, the Pareto curve can be obtained by performing the multi-objective optimization for real orthotropic steel deck bridges, using the multi-level technique with excellent efficiency. A reasonable and economical design can be attained using the Parato curve in the cost and deflection functions of the bridge. Thus, more reasonable design values can be determined based on a comparison with those using a conventional design procedure.

Multilevel Multiobjective Optimization for Structures (다단계 다목적함수 최적화를 이용한 구조물의 최적설계)

  • 한상훈;최홍식
    • Computational Structural Engineering
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    • v.7 no.1
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    • pp.117-124
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    • 1994
  • Multi-level Multi-objective optimization(MLMO) for reinforced concrete framed structure is performed, and compared with the results of single-level single-objective optimization. MLMO method allows flexibility to meet the design needs such as deflection and cost of structures using weighting factors. Using Multi-level formulation, the numbers of constraints and variables are reduced at each levels, and the optimization formulation becomes simplified. The force approximation method is used to reflect the variation in design variables between the substructures, and thus coupling is maintained. And the linear approximated constraints and objective function are used to reduce the number of structural analysis in optimization process. It is shown that the developed algorithm with move limit can converge effectively to optimal solution.

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Optimization of Initial Blank Shape of Multi-stage Deep Drawing for Improvement of Formability (타원형 다단 딥 드로잉 제품의 성형성 향상을 위한 초기 소재 형상 최적 설계)

  • Lee, Sa-Rang;Park, Sang-Min;Hong, Seokmoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.10
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    • pp.696-701
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    • 2016
  • Multi-stage deep drawing is a widely used industrial manufacturing process, and its applications are gradually expanding to both small products and large metallic products. The USB C-type socket used in smart phones, for example, is manufactured using oval multi-stage deep drawing. The socket is very small and slender and it requires precise manufacturing. The thickness distribution of the final product is guaranteed only if it is uniform throughout the overall process. Therefore, minimizing the height difference between long and short sidewalls after the first operation is important for this goal. An initial blank optimization was performed for an oval-type drawing process based on finite element simulations. The goal was to determine an initial blank geometry that can maintain uniform height and thickness after the first draw operation. The initial blank shape of the sheet metal was optimized, and the results show that it satisfied the conditions of minimal thickness reduction and even thickness distribution. The geometry from the optimized simulation was compared with experimental results, which showed good agreement.

An Optimal Inventory Policy in a Two-Stage Supply Chain under Stock Dependent Demand Rate and Multi-Level Trade Credit (다단계로 신용거래가 허용되는 공급체인에서 재고종속형 제품수요를 고려한 최적 재고정책)

  • Shinn, Seong-Whan
    • Journal of the Korea Safety Management & Science
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    • v.14 no.2
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    • pp.137-145
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    • 2012
  • 본 연구는 공급자(supplier), 소매상(retailer) 그리고 고객(customer)으로 구성된 2 단계 공급사슬에서 소매상의 관점에서 소매상의 최적 재고정책 결정에 관한 문제를 다루었다. 공급자는 수요 증대를 목적으로 소매상의 주문량에 따라 다단계로 일정기간동안 제품 판매대금에 대한 지불 연기(외상)를 허용하고, 고객의 수요는 소매상의 제품 재고량에 영향을 받는다는 가정 하에 재고 모형을 설계하였다. 모형 분석을 통하여 소매상의 이익을 최대화하는 최적 주문량 결정 방법을 제시하였고, 예제를 통하여 그 제시된 해법의 타당성을 보였다.

The Discrete Optimum Design of Steel Frame Considering Material and Geometrical Nonlinearties (재료 및 기하학적 비선형을 고려한 브레이싱된 강뼈대구조물의 최적설계)

  • Chang, Chun Ho;Park, Moon Ho;Lee, Hae Kyoung;Park, Soon Eung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.317-328
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    • 2000
  • The objective of the research is to develop an algorithm for the optimum design of two-dimensional braced steel frames using an advanced analysis, which considers both material and geometric nonlinearties. Since both nonlinearties are considered in analysis process, Optimum design algorithm which does not require to calculate K-factor is presented. A multi-level discrete optimization technique with two parameters that uses the information of structural system and separate member has been developed. The structural analysis is performed by the relined plastic-hinge method which is based on zero-length plastic hinge theory. Optimization problem are formulated by AISC-LRFD code. The feasibility, validity and efficiency of the developed algorithm is demonstrated by the results of the braced steel frame.

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Computational Efficiency of Resamplers in Multi-Stage Structure (재표본화에서 다단계 구현의 계산 효율성)

  • Kim Rin-Chul
    • Journal of Broadcast Engineering
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    • v.11 no.1 s.30
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    • pp.138-141
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    • 2006
  • This paper evaluates the computational efficiency of sample-rate converters with rational factors in multi-stage structure in terms of memory requirement and multiplications per second. We describe resolution preserving and mutual prime conditions, and then present a method for designing the converter from which optimal rational-valued conversion factors for each stage can be yielded directly. As an example, we show an implementation of the 44.1-to-48KHz sample-rate converter in 2-stage structure.

Optimum Tool Design in a Multi-stage Rectangular Cup Drawing and Ironing Process with the Large Aspect Ratio by the Finite Element Analysis (유한요소해석을 이용한 세장비가 큰 직사각컵 다단계 디프 드로잉-아이어닝 공정의 최적 금형설계)

  • Kim, Se-Ho;Kim, Seung-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.1077-1084
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    • 2002
  • Optimum tool design is carried out fur a multi-stage rectangular cup deep-drawing and ironing process with the large aspect ratio. Finite element simulation is carried out to investigate deformation mechanisms with the initial design made by an expert. The analysis considers the deep drawing process with ironing for the thickness control in the cup wall. The analysis reveals that the difference of the drawing ratio within the cross section and the irregular contact condition produce non-uniform metal flow to cause wrinkling and severe extension. For remedy, the modification guideline is proposed in the design of the tool and the process. Analysis results confirm that the modified tool design not only improves the quality of a deep-drawn product but also reduces the possibility of failure. The numerical result shows fair coincidence with the experimental one. After tryouts of the tool shape, the rectangular cup has been produced in the transfer press.

Multi-step Optimization of the Moving Body for the High Speed Machinining Center using Weighted Method and G.A. (가중치방법과 유전알고리즘을 이용한 금형가공센터 고속이송체의 다단계 최적설계)

  • 최영휴;배병태;강영진;이재윤;김태형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.23-27
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    • 1997
  • This paper introduces the structural design optimization of a high speed machining center using multi-step optimization combined with G.A.(Genetic Algorithm) and Weighted Method. In this case, the design problem is to find out the best design variables which minimize the static compliance, the dynamic compliance, and the weight of the machine structure simultaneously. Dimensional thicknesses of the thirteen structural members of the machine structure are adopted as design variables. The first step is the cross-section configuration optimization, in which the area moment of inertia of the cross-section for each structural member is maximized while its area is kept constant The second step is a static design optimization, In which the static compliance and the weight of the machine structure are minimized under some dimensional and safety constraints. The third step IS a dynamic design optimization, where the dynamic compliance and the structure weight are minimized under the same constraints. After optunization, static and dynamic compliances were reduced to 62.3% and 95.7% Eorn the initial design, while the weight of the moving bodies are also in the feaslble range.

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The size and shape optimization of plane trusses using the multi-levels method (다단계 분할기법에 의한 평면트러스의 단면치수 및 형상 최적화)

  • Pyeon, Hae-Wan;Oh, Kyu-Rak;Kang, Moon-Myung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.5 s.48
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    • pp.515-525
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    • 2000
  • The purpose of this paper was to develop size & shape optimization programming algorithm of plane trusses. The optimum techniques applied in this study were extended penalty method of Sequential Unconstrained Minimization Techniques(SUMT) and direct search method with multi-variables proposed by Hooke & Jeeves. Upper mentioned two methods were used iteratively at each level of size and shape optimization routines. The design variables of size optimization were circular steel tube(structural member) diameter and thickness, those of shape optimization were joint coordinates, and the objective function was represented as total weight of truss. During the optimum design, two level procedures of size and shape optimization were interacted iteratively until the final optimum values were attained. At the previous studies about shape optimization of truss, the member sectional areas and coordinates were applied as design variables. So that they could not apply the buckling effect of compression member. In this paper, actual sizes of member and nodal coordinates are used as design variables to consider the buckling effect of compression member properly.

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