• Title/Summary/Keyword: 최적형상함수

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Shape Optimization of a 10/8 Switched Reluctance Motor Using Response Surface Methodology (반응표면기법을 이용한 5상 10/8 스위치드리럭턴스 모터의 협상최적설계)

  • Kim, Yong-Dae;Lee, Dae-Ok;Park, Kyi-Hwan
    • Proceedings of the KIEE Conference
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    • 2003.10b
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    • pp.21-23
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    • 2003
  • 본 연구에서는 반응표면기법을 이용하여 5상, 10/8 스위치드 리럭턴스 모터의 최적설계를 수행하였다. 반응표면 기법은 여러 개의 독립적인 설계변수가 출력 함수에 복합적인 작용을 하고 있을 때, 설계변수의 변화에 대한 출력함수의 변화를 추정하는 통계적인 분석방법이다. 여기서는, 모터 형상을 결정하는 모든 기하학적인 치수들을 변수로 선택하였고, D-Optimal 기법을 이용하여 실험 점들을 선택하였다. 각각의 실험점들에 대해서 FEM 해석을 수행하였고, 평균토크와 권선면적을 만족하는 최소부피의 모터를 설계하였다. 반응표면 모델을 이용하여 최적설계를 수행하였고, 각도와 전류에 따른 토크 프로파일과 인덕턴스 프로파일을 얻었다. 이를 바탕으로 동적 거동을 예상해 보았다. 반응표면기법을 이용한 최적설계에서는 global optimum을 보장할 수 있으며, 최적설계에 소요되는 시간을 줄일 수 있다.

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Optimization of an Asymmetric Trapezoidal Fin Based on the Fixed Fin Base Height (고정된 핀 바닥 높이에 기준한 비대칭 사다리꼴 핀의 최적화)

  • Song, Nyeon-Joo;Kang, Hyung-Suk
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.1
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    • pp.45-54
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    • 2012
  • Optimization of the asymmetric trapezoidal fin with various upper lateral surface slope is made using a two-dimensional analytic method. For the fixed fin base height, the optimum heat loss, fin length and effectiveness are represented as inner fluid convection characteristic number, fin base thickness, fin base height, fin shape factor and ambient convection characteristic number. For this optimum procedure, the optimum heat loss is defined as 95% of the maximum heat loss from the fin. One of the results shows that optimum heat loss and effectiveness seems independent of the fin shape factor while optimum fin length decreases almost linearly as the fin shape factor increases.

A Study on the Shape and Thickness Optimizations of Shells Using CAGD through Minimization of Strain Energy with Volume Constraint (CAGD를 사용한 쉘의 형상 및 두께 최적화에 관한 연구 (부피 제약조건을 사용한 변형에너지의 최소화))

  • 이상진;한상을
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.551-561
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    • 1999
  • 본 논문에서는 쉘 최적화에 대한 연구 결과를 기술하였다. 본 연구의 주목적은 쉘 구조물의 최적형상과 두께 분포를 찾는데 있다. 쉘의 변형에너지를 목적함수로 사용하고 초기 쉘의 부피를 제약조건을 고려하였다. 본 연구에서는 Computer-Aided Geometric Design (CAGD) 기법을 이용하여 쉘의 형상과 그 두께 분포를 표현하였고 쉘의 변형에너지를 측정하기 위해서 가변형 도를 채용한 퇴화 쉘 요소(Degenerated Shell Element)를 도입하였다. 최적 값을 구하기 위해서 세 가지 수학적 프로그래밍 기법을 제공하는 프로그램 DOT를 사용하였다. 마지막으로 새로이 개발된 쉘 최적화시스템의 효율성을 최적화예제로써 증명하였다.

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Optimization to Control Buckling Temperature and Mode Shape through Continuous Thickness Variation of Composite Material (복합소재의 연속 두께 변화를 통한 좌굴온도 및 모드형상 최적화)

  • Lee, Kang Kuk;Lee, Hoo Min;Yoon, Gil Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.6
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    • pp.347-353
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    • 2021
  • In this study, we presented a novel size optimization framework to control the linear buckling temperature and several buckling modes of plates, by optimizing thickness values of composite structures for practical engineering applications. Predicting the buckling temperature and mode shape of structures is a vital research topic in engineering to achieve structural stability. However, optimizing designs of engineering structures through engineering intuition is challenging. To address this limitation, we proposed a method that combines finite element simulation and size optimization. Based on the idea that the structural buckling temperature and mode shape of a plate are affected by the thickness of the structure, the thickness values of the nodes of the target structure were set as the design variables in this optimization method; and the buckling temperature values, and buckling mode shapes were set as the objective functions. This size optimization method enabled the determination of optimal thickness distributions, to induce the desired buckling temperature values and mode shapes. The validity of the proposed method was verified in terms of their buckling temperature values and buckling mode shapes, using several numerical examples of rectangular composite structures.

Experimental Validation of Isogeometric Optimal Design (아이소-지오메트릭 형상 최적설계의 실험적 검증)

  • Choi, Myung-Jin;Yoon, Min-Ho;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.345-352
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    • 2014
  • In this paper, the CAD data for the optimal shape design obtained by isogeometric shape optimization is directly used to fabricate the specimen by using 3D printer for the experimental validation. In a conventional finite element method, the geometric approximation inherent in the mesh leads to the accuracy issue in response analysis and design sensitivity analysis. Furthermore, in the finite element based shape optimization, subsequent communication with CAD description is required in the design optimization process, which results in the loss of optimal design information during the communication. Isogeometric analysis method employs the same NURBS basis functions and control points used in CAD systems, which enables to use exact geometrical properties like normal vector and curvature information in the response analysis and design sensitivity analysis procedure. Also, it vastly simplify the design modification of complex geometries without communicating with the CAD description of geometry during design optimization process. Therefore, the information of optimal design and material volume is exactly reflected to fabricate the specimen for experimental validation. Through the design optimization examples of elasticity problem, it is experimentally shown that the optimal design has higher stiffness than the initial design. Also, the experimental results match very well with the numerical results. Using a non-contact optical 3D deformation measuring system for strain distribution, it is shown that the stress concentration is significantly alleviated in the optimal design compared with the initial design.

Shape Design Optimization of Crack Propagation Problems Using Meshfree Methods (무요소법을 이용한 균열진전 문제의 형상 최적설계)

  • Kim, Jae-Hyun;Ha, Seung-Hyun;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.337-343
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    • 2014
  • This paper presents a continuum-based shape design sensitivity analysis(DSA) method for crack propagation problems using a reproducing kernel method(RKM), which facilitates the remeshing problem required for finite element analysis(FEA) and provides the higher order shape functions by increasing the continuity of the kernel functions. A linear elasticity is considered to obtain the required stress field around the crack tip for the evaluation of J-integral. The sensitivity of displacement field and stress intensity factor(SIF) with respect to shape design variables are derived using a material derivative approach. For efficient computation of design sensitivity, an adjoint variable method is employed tather than the direct differentiation method. Through numerical examples, The mesh-free and the DSA methods show excellent agreement with finite difference results. The DSA results are further extended to a shape optimization of crack propagation problems to control the propagation path.

The Natural Frequency Maximization of Beam Structures by using Modal Strain Energy based Topology Optimization Technique (모드변형에너지를 기저로 하는 위상최적화기법을 사용한 보의 고유진동수 최대화)

  • Lee, Sang-Jin;Bae, Jung-Eun
    • Journal of Korean Association for Spatial Structures
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    • v.7 no.4
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    • pp.89-96
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    • 2007
  • The fundamental frequency maximization of beam structures is carried out by using strain energy based topology optimization technique. It mainly uses the modal strain energy distributions induced by the mode shapes of the structures. The modal strain energy to be minimized is employed as the objective function and the initial volume of structures is adopted as the constraint function. The resizing algorithm devised from the optimality criteria method is used to update the hole size of the cell existing in each finite element. The beams with three different boundary conditions are used to investigate the optimum topologies against natural mode shapes. From numerical test, it is found to be that the optimum topologies of the beams produced by the adopted technique have hugh increases in some values of natural frequencies and especially the technique is very effective to maximize the fundamental frequency of the structures.

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A Study on the Optimal Forebody Forms for Minimum Wave Resistance (최소조파 저항성능을 갖는 최적 선수형상에 관한 연구)

  • Sung-Eun Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.28-39
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    • 1991
  • A study on the optimization problems to find forebode shapes with minimum wavemaking and frictional resistance was performed. The afterbody was fixed as a given hull and only forebode offsets were treated as design variables. Design variables were divided into the offsets of given hull and small variation from them. For the wavemaking resistance calculation, Neumann-Kelvin theory was applied to the given hull and thin ship theory was applied to the small variation. ITTC 1957 model-ship correlation line was used for the calculation of frictional resistance. Hull surface was represented mathmatically using shape function. As object function, such as wavemaking and frictional rersistance, was quadratic form of offsets and constraints linear, quadratic programing problem could be constructed. The complementary pivot method was used to find the soulution of the quadratic programing problem. Calculations were perfomed for the Series 60 $C_{B}$=0.6. at Fn=0.289. A realistic hull form could be obtained by using proper constraints. From the results of calculation for the Series 60 $C_{B}$=0.6, it was concluded that present method gave optimal shape of bulbous bow showing a slight improvement in the wave resistance performance at design speed Fn=0.289 compared with the results from the ship theory only.

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Airfoil design for active load control wind turbine blade (능동하중제어 블레이드 적용을 위한 에어포일 설계)

  • Shin, Hyung-Ki
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.449-452
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    • 2009
  • 본 연구에서는 소형 플랩을 채용하여 능동하중제어를 이루고자하는 풍력 블레이드의 적용을 염두해 둔 에어포일 설계를 수행하였다. 블레이드 팁 부분에 플랩을 적용하고자 하는 경우 플랩의 구동장치, 연결 부위 등의 장치 설치를 위한 공간이 블레이드 내부에 필요하다. 이를 위하여 기존의 에어포일의 성능을 유지하면서 뒷전의 두께비가 증가된 에어포일 형상의 설계가 필요하다. 최적설계를 위하여는 MIGA(Multi- Island Genetic Algorithm)을 채용하였으며 에어포일의 성능 계산을 위하여는 Xfoil을 결합하였다. 또한 형상 생성을 위하여 Hick-Henne 형상 함수를 이용하였다. 위와 같은 방법으로 설계된 에어포일은 코드길이 85% 위치에서 두께비 6.3%,양항비 133을 가지게 되어 기본으로 설정한 DU180 에어포일에 비해 성능과 필요 두께비를 모두 능가하는 에어포일이 되었다.

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Airfoil design for active load control wind turbine blade (능동하중제어 블레이드 적용을 위한 에어포일 설계)

  • Shin, Hyung-Ki
    • New & Renewable Energy
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    • v.5 no.4
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    • pp.29-32
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    • 2009
  • 본 연구에서는 소형 플랩을 채용하여 능동하중제어를 이루고자하는 풍력블레이드의 적용을 염두해 둔 에어포일 설계를 수행하였다. 블레이드 팁 부분에 플랩을 적용하고자 하는 경우 플랩의 구동 장치, 연결 부위 등의 장치 설치를 위한 공간이 블레이드 내부에 필요하다. 이를 위하여 기존의 에어포일의 성능을 유지하면서 뒷전의 두께비가 증가된 에어포일 형상의 설계가 필요하다. 최적설계를 위하여는 MIGA(Multi-Island Genetic Algorithm)을 채용하였으며 에어포일의 성능 계산을 위하여는 Xfoil을 결합하였다. 또한 형상 생성을 위하여 Hick-Henne 형상 함수를 이용하였다. 위와 같은 방법으로 설계된 에어포일은 코드길이 85% 위치에서 두께비 6.3%,양항비 133을 가지게 되어 기본으로 설정한 DU180에어포일에 비해 성능과 필요 두께비를 모두 능가하는 에어포일이 되었다.

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