• Title, Summary, Keyword: 형상 최적화

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Maximization of the natural frequency of a structure using shape optimization (형상 최적화를 통한 구조물의 고유진동수 최대화)

  • 서범석;박윤식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • pp.167-172
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    • 2001
  • 구조최적화는 기계구조물의 동특성을 변경하기 위하여 필수적으로 수행되어야 할 요소이다. 어떠한 방법을 택하여 보다 효율적으로 수행할 것 인지가 엔지니어의 관심일 것이다. 구조최적화는 설계변수에 따라 치수최적화, 물성치최적화 형상최적화 등으로 나눌 수 있다. 형상 최적화는 구조물의 유한요소모델을 기본으로 경계의 형상이나 절점의 형상, 회전 등을 설계 변수로 삼는 것이다. 고유진동수를 높이거나 모드형상을 제어하기 위하여 평판에 보강재를 붙이는 경우가 있다. 이때 보강재의 위치나 치수 형상 등이 중요한 변수가 될 수 있다. 본 논문에서는 평판의 고유진동수를 극대화 하기위해 보 보강재를 붙이는 문제에서 보의 회전을 설계 변수로 삼아 최적설계를 수행 할 것이다.

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The Role of Force Density Method in Integrated Design Optimization (통합설계최적화 과정에서 내력밀도법의 역할)

  • Bae, Jung-Eun;Lee, Sang-Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.578-583
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    • 2010
  • 본 연구는 전통적인 형상탐색 기법중의 하나인 내력밀도법을 건축구조물의 통합설계최적화 과정에 도입하고 이와 관련된 이론적 배경과 수치해석 결과를 기술하였다. 통합설계최적화 기법은 크기최적화, 형상최적화 그리고 위상최적화와 같이 다양한 개별최적화 기법을 이용하게 되는데 본 연구에서는 구조물의 형상을 결정하는 단계에서 내력밀도법을 이용하였다. 특히 본 연구에서는 내력밀도법과 다른 개별최적화기법과의 연계성에 대하여 기술하고 아치형 트러스 구조물의 통합설계최적화를 수행하였다.

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Shape Optimization of Arches (아치구조의 형상 최적화)

  • Han, Sang Hoon;Byun, Keun Joo
    • Journal of The Korean Society of Civil Engineers
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    • v.4 no.4
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    • pp.127-135
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    • 1984
  • This paper considers the problem of optimum shaping of steel arches subjected to general loading. The weight of arches is considered as the objective function and the appropriate combinations of section forces, material volume, arc length, and closed section area of arches are considered as the stress constraints. The shape optimization problems are formulated in terms of the design variables of sectional areas of each element. First the cost sensitivity of the design is investigated. Then the investigation comprises the search for the optimum arch form as well as the optimum area distribution along the arch. Two spaces of shape optimization algorithm will be treated, the first space corresponding to the section optimization by the Modified Newton Raphson Method, and the second space to the coordinate optimization by the Powell Method. The optimization algorithm is evaluated and the optimum span-rise ratios for the given arches are evaluated.

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A Study on the Techniques of Configuration Optimization (형상 최적설계를 위한 최적화 기법에 관한 연구)

  • Choi, Byoung Han
    • Journal of Korean Society of Steel Construction
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    • v.16 no.6
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    • pp.819-832
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    • 2004
  • This study describes an efficient and facile method for configuration optimum design of structures. One of the ways to achieve numerical shape representation and the selection of design variables is using the design element concept. Using this technique, the number of design variables could be drastically reduced. Isoparametric mapping was utilized to automatically generate the finite element mesh during the optimization process, and this made it possible to easily calculate the derivatives of the coordinates of generated finite element nodes w.r.t. the design variables. For the structural analysis, finite element analysis was adopted in the optimization procedure, and two different techniques(the deterministic method, a modified method of feasible direction; and the stochastic method, a genetic algorithms) were applied to obtain the minimum volumes and section areas for an efficient configuration optimization procedure. Futhermore, spline interpolation was introduced to present a realistic optimum configuration that meet the manufacturing requirements. According to the results of several numerical examples(steel structures), the two techniques suggested in this study simplified the process of configuration optimum design of structures, and yielded improved objective function values with a robust convergence rate. This study's applicability and capability have therefore been demonstrated.

Study of the Shape Optimization in Spline FEM Considering both NURBS Control Point Positions and Weights as Design Variables (NURBS 제어점의 위치 및 가중치를 설계변수로 하는 스플라인 유한요소법 기반 형상최적설계 연구)

  • Song, Yeo-Ul;Hur, Jun Young;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.363-370
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    • 2014
  • A new NURBS-based shape optimization method is proposed. Most shape optimization studies consider only control point positions as design variables. Some shape optimization processes present problems with mesh quality and convergence when control points are constrained to a limited space. If the weights of the control points are regarded as additional design variables, it should be possible to attain a better degree of shape control. In this study, positions and weights of NURBS control points are used as design variables, and a shape optimization algorithm incorporates position optimization and weight optimization steps. This method is applied to shape optimization benchmarking problems to verify its advantages.

Optimizing the Configurations of Cooling Channels with Low Flow Resistance and Thermal Resistance (냉각유로 형상변화에 따른 유동 및 열저항 최적화 연구)

  • Cho, Kee-Hyeon;Ahn, Ho-Seon;Kim, Moo-Hwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.1
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    • pp.9-15
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    • 2011
  • In this study, we investigated the hydrodynamic and thermal performance of constructal architectures on the basis of the mass flow rates for a given pressure drop, and we determined the thermal resistance and flow uniformity. The five flow configuration used in this study were the first construct with optimized hydraulic diameter, the second construct with optimized hydraulic diameter, the first construct with non-optimized hydraulic diameter, second construct with non-optimized hydraulic diameter, and a serpentine configuration. The results of our study suggest that the best fluid-flow structure is the second constructal structure with optimized constructal configurations. We also found that in the case of the optimized structure of cooling plates, the heat transfer was remarkably higher and the pumping power was significantly lower than those of traditional channels.

Initial Shape Design of Space Truss Structure using Density Method (밀도법을 이용한 스페이스 트러스 구조물의 초기 형상 설계)

  • Kim, Ho-Soo;Park, Young-Sin;Yang, Myung-Kyu;Lee, Min-Ho;Kim, Jae-Yoon
    • Journal of the Korean Association for Spatial Structures
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    • v.10 no.4
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    • pp.59-66
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    • 2010
  • This study presents the topology optimization technique by density method to determine the initial shape of space truss structures. Most initial shape design is performed by designer's previous experiences and trial and error method instead of the application of reasonable optimization method. Thus, the reasonable and economical optimization methods are needed to be introduced for the initial shape design. Therefore, we set design domain for cantilever space truss structure as an example model. And topology optimization is used to obtain optimum layout for them, and then size optimization method is used to find the optimum member size. Therefore, the reasonable initial optimal shapes of spatial truss structures can be obtained through the topology and size optimization using density method.

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High Lift Device Design Optimization and Wind Tunnel Tests (고양력장치 설계 최적화 및 풍동시험)

  • Lee, Yung-Gyo;Kim, Cheol-Wan;Cho, Tae-Hwan
    • Aerospace Engineering and Technology
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    • v.9 no.1
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    • pp.78-83
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    • 2010
  • In the present paper, a flap was optimized to maximize the lift. A 2-element fowler flap system was utilized for optimization with an initial shape of general aviation airfoil and a flap shape designed by Wentz. Response surface method and Hicks-Henne shape function were implemented for optimization. 2-D Navier-Stokes method was used to solve flow field around aGA(W)-1 airfoil with a fowler flap. Commercial programs including Visual-Doc, Gambit/Tgridand Fluent were used. Upper surface shape and the flap gap were optimized and lift for landing condition was improved considerably. The original and optimized flaps were tested in the KARI's 1-m low speed wind tunnel to examine changes in aerodynamic characteristics. For optimized flap tests, the similar trend to prediction could be seen but stall angle of attack was lower than what was expected. Also, less gap than optimized design delayed stall and produced better lift characteristics. This is believed to be the effect of turbulence model.

Size and Shape Optimization of Flat Space Frame Structure (평판 스페이스 프레임 구조물의 크기 및 형상최적화)

  • Yang, Myung-Kyu;Park, Young-Sin;Choi, Hong-Lak;Lee, Han-Joo;Kim, Ho-Soo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.400-403
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    • 2009
  • 본 연구에서는 평판 스페이스 프레임 구조물의 크기 및 형상최적화 기법을 개발하고자 한다. 이를 위해 평판 스페이스 프레임의 물량에 영향을 미치는 요소인 격자분할 수와 상 하부 평판사이의 높이를 주요 설계변수로 선정함으로써 부재크기 최적화뿐만 아니라 형상최적화 방안도 제시하였다. 또한 평판 스페이스 프레임의 절점 및 부재 자동생성방안이 고려되며 감도해석기법을 이용하여 개발된 최적화 프로그램을 예제모델에 적용하여 설계변수 변화에 따른 구조시스템의 최적의 대안을 강구하고자 한다.

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Optimum Shape Design of a Rotating-Shaft Using ESO Method ESO 법을 이용한 회전축의 형상최적화

  • Yang, Bo-Suk;Kim, Yong-Han
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • pp.360-364
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    • 2001
  • 본 논문에서는 최근의 진화적 구조최적화(ESO) 전략을 회전축의 형상최적화에 적용하였으며, 각 계산 스텝마다 단위 유한요소의 크기를 변경함으로써 기존의 방법보다 빠르고 정확한 최적형상에 수렴하는 새로운 방법을 제시하였다. 축요소의 직경을 시스템 설계변수로 하였으며, 축중량의 감소, 공진배율(Q-factor)의 감소 및 충분한 위험속도의 분리여유를 갖도록 목적함수를 설정하였다. 불평형응답 및 굽힙응력의 구속조건을 부가하였으며, 목적함수에 대한 설계변수의 감도해석을 수행하였다. 전동기축계에 대한 적용 결과로부터 주파수와 동적 구속조건하의 로터베어링 시스템에 대한 축 형상 최적화에 ESO법이 효과적으로 이용될 수 있음을 확인하였다.

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