• 제목/요약/키워드: Approximation based optimization method

검색결과 156건 처리시간 0.024초

강성구속 조건을 갖는 구조물의 신뢰성기반 위상최적설계 (Reliability-Based Topology Optimization for Structures with Stiffness Constraints)

  • 김상락;박재용;이원구;유진식;한석영
    • 한국공작기계학회논문집
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    • 제17권6호
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    • pp.77-82
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    • 2008
  • This paper presents a Reliability-Based Topology Optimization(RBTO) using the Evolutionary Structural Optimization(ESO). An actual design involves some uncertain conditions such as material property, operational load and dimensional variation. The Deterministic Topology Optimization(DTO) is obtained without considering the uncertainties related to the uncertainty parameters. However, the RBTO can consider the uncertainty variables because it has the probabilistic constraints. In order to determine whether the probabilistic constraints are satisfied or not, simulation techniques and approximation methods are developed. In this paper, the reliability index approach(RIA) is adopted to evaluate the probabilistic constraints. In order to apply the ESO method to the RBTO, sensitivity number is defined as the change in the reliability index due to the removal of the ith element. Numerical examples are presented to compare the DTO with the RBTO.

Preliminary Research on the Uncertainty Estimation in the Probabilistic Designs

  • Youn Byung D.;Lee Jae-Hwan
    • Journal of Ship and Ocean Technology
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    • 제9권1호
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    • pp.64-71
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    • 2005
  • In probabilistic design, the challenge is to estimate the uncertainty propagation, since outputs of subsystems at lower levels could constitute inputs of other systems or at higher levels of the multilevel systems. Three uncertainty propagation estimation techniques are compared in this paper in terms of numerical efficiency and accuracy: root sum square (linearization), distribution-based moment approximation, and Taguchi-based integration. When applied to reliability-based design optimization (RBDO) under uncertainty, it is investigated which type of applications each method is best suitable for. Two nonlinear analytical examples and one vehicle crashworthiness for side-impact simulation example are employed to investigate the unique features of the presented techniques for uncertainty propagation. This study aims at helping potential users to identify appropriate techniques for their applications in the multilevel design.

절충의사결정방법을 이용한 선박용 3/2WAY 공압밸브의 다목적 최적설계 (Multi-objective Optimization of Marine 3/2WAY Pneumatic Valve using Compromise Decision-Making Method)

  • 김준오;백석흠;김태우;강상모
    • 한국기계가공학회지
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    • 제12권2호
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    • pp.81-90
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    • 2013
  • A study on the flow-structure characteristics of marine 3/2WAY pneumatic valve is essential for optimizing the performance of ship engines. It is important that the valve has desirable safety factor and reduced weight from safety and economic point of view. In this paper, flow-structure characteristics of pneumatic valve is obtained by being optimized based on the proper design criteria. The air with the pressure of 30 bar is the working fluid which is made to fill in the tack in short time. This time is defined as the filling time. On optimum design by considering the flow-structure characteristics, the approach is based on (1) the mathematical formulation of design decisions using the compromise decision-making method, and (2) the approximation technique of response surfaces. The methodology is demonstrated as the multi-objective optimization tool to improve the performance of marine 3/2WAY pneumatic valve.

다층 압전 필름의 전극 패턴 최적화를 통한 2차원 구조물에서의 모달 변환기 구현 (Design of Modal Transducer in 2D Structure Using Multi-Layered PVDF Films Based on Electrode Pattern Optimization)

  • 유정규;김지철;김승조
    • 소음진동
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    • 제8권4호
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    • pp.632-642
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    • 1998
  • A method based on finite element discretization is developed for optimizing the polarization profile of PVDF film to create the modal transducer for specific modes. Using this concept, one can design the modal transducer in two-dimensional structure having arbitrary geometry and boundary conditions. As a practical means for implementing this polarization profile without repoling the PVDF film the polarization profile is approximated by optimizing electrode patterns, lamination angles, and poling directions of the multi-layered PVDF transducer. This corresponds to the approximation of a continuous function using discrete values. The electrode pattern of each PVDF layer is optimized by deciding the electrode of each finite element to be used or not. Genetic algorithm, suitable for discrete problems, is used as an optimization scheme. For the optimization of each layers lamination angle, the continuous lamination angle is encoded into discrete value using binary 5 bit string. For the experimental demonstration, a modal sensor for first and second modes of cantilevered composite plate is designed using two layers of PVDF films. The actuator is designed based on the criterion of minimizing the system energy in the control modes under a given initial condition. Experimental results show that the signals from residual modes are successfully reduced using the optimized multi-layered PVDF sensor. Using discrete LQG control law, the modal peaks of first and second modes are reduced in the amount of 12 dB and 4 dB, resepctively.

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반응표면법을 이용한 압축기 루프 파이프의 최적 설계 (Design Optimization of a Compressor Loop Pipe using Response Surface Method)

  • 강정환;박종찬;김좌일;왕세명;정충민
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.404-409
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    • 2004
  • A compressor loop pipe is the most important part in a refrigerator from the view of structural vibration and noise. Vibration energy generated from a compressor's inner body is transmitted to the shell and outside through the loop pipe. For this reason it is very important to design a compressor loop pipe. But, for geometrical complexity and dynamic nonlinearity of the loop pipe, analysis and design of the loop pipe is very difficult. So the statistical and experimental methods have to be used for design of this system. The response surface method (RSM) becomes a popular meta-modeling technique f3r the complex system as this loop pipe. As starting point of loop pile's optimization, FEA model and simple experimental model are used instead of the real loop pipe model. After RS model was constructed, using sensitivity-based optimizer performed optimization for the loop pipe. And the moving least square method (MLSM) was applied to reduce the approximation error.

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An inverse approach based on uniform load surface for damage detection in structures

  • Mirzabeigy, Alborz;Madoliat, Reza
    • Smart Structures and Systems
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    • 제24권2호
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    • pp.233-242
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    • 2019
  • In this paper, an inverse approach based on uniform load surface (ULS) is presented for structural damage localization and quantification. The ULS is excellent approximation for deformed configuration of a structure under distributed unit force applied on all degrees of freedom. The ULS make use of natural frequencies and mode shapes of structure and in mathematical point of view is a weighted average of mode shapes. An objective function presented to damage detection is discrepancy between the ULS of monitored structure and numerical model of structure. Solving this objective function to find minimum value yields damage's parameters detection. The teaching-learning based optimization algorithm has been employed to solve inverse problem. The efficiency of present damage detection method is demonstrated through three numerical examples. By comparison between proposed objective function and another objective function which make use of natural frequencies and mode shapes, it is revealed present objective function have faster convergence and is more sensitive to damage. The method has good robustness against measurement noise and could detect damage by using the first few mode shapes. The results indicate that the proposed method is reliable technique to damage detection in structures.

영상 정합을 위한 Block-Coordinate Gauss-Newton 최적화 (Block-Coordinate Gauss-Newton Optimization for Image Registration)

  • 김동식
    • 대한전자공학회논문지SP
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    • 제44권6호
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    • pp.1-8
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    • 2007
  • 본 논문에서는 영상의 공간 정합과 서로 다른 노출의 보정을 동시에 최적화하기 위한 연구를 수행하였다. 노출 보정은 영상의 밝기 보정이라는 틀 안에서 두 영상의 관계식을 다항식 근사를 통하여 이루는데, 이를 가우스-뉴톤 방식의 비선형 최적화 기법을 이용하여 공간 정합과 동시에 수행을 한다. 본 논문에서는 보다 신뢰성 있고 단순한 동시 최적화를 위하여 블록 좌표(block-coordinate) 방법과의 결합을 제안하며 심도 있는 모의실험을 통하여 성능을 비교하였다. 나아가서 블록 좌표 방법의 단순성과 융통성을 이용하여 밝기 보정에 회기 분석 기법을 도입하여 여러 종류의 영상에 대하여 안정성에서도 우수한 성능을 보이는 최적화를 수행하였다. 기존의 가우스-뉴톤 최적화에 블록 좌표 방법을 결합하여 일반 가우스-뉴톤 최적화에 비하여 계산을 단순화시키면서 보다 빠르게 수렴하는 특성을 보이며 대등한 성능의 칙적화를 수행할 수 있었다. 실험 결과를 보면 특정 영상에서 10회 반복정도로 원하는 수렴 결과를 얻었는데 이는 알고리듬 수행을 위한 계산을 50%정도 감소시킨 것이다 또한 에러도 1.5dB이상 감소시켰다.

최적 알고리즘과 합성 성능지수에 의한 퍼지-뉴럴네트워크구조의 설계 (Design of Fuzzy-Neural Networks Structure using Optimization Algorithm and an Aggregate Weighted Performance Index)

  • 윤기찬;오성권;박종진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 G
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    • pp.2911-2913
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    • 1999
  • This paper suggest an optimal identification method to complex and nonlinear system modeling that is based on Fuzzy-Neural Network(FNN). The FNN modeling implements parameter identification using HCM algorithm and optimal identification algorithm structure combined with two types of optimization theories for nonlinear systems, we use a HCM Clustering Algorithm to find initial parameters of membership function. The parameters such as parameters of membership functions, learning rates and momentum coefficients are adjusted using optimal identification algorithm. The proposed optimal identification algorithm is carried out using both a genetic algorithm and the improved complex method. Also, an aggregate objective function(performance index) with weighted value is proposed to achieve a sound balance between approximation and generalization abilities of the model. To evaluate the performance of the proposed model, we use the time series data for gas furnace, the data of sewage treatment process and traffic route choice process.

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A Robust Pricing/Lot-sizing Model and A Solution Method Based on Geometric Programming

  • Lim, Sung-Mook
    • Management Science and Financial Engineering
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    • 제14권2호
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    • pp.13-23
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    • 2008
  • The pricing/lot-sizing problem of determining the robust optimal order quantity and selling price is discussed. The uncertainty of parameters characterized by an ellipsoid is explicitly incorporated into the problem. An approximation scheme is proposed to transform the problem into a geometric program, which can be efficiently and reliably solved using interior-point methods.

Optimal reinforcement design of structures under the buckling load using the homogenization design method

  • Min, Seungjae;Kikuchi, Noboru
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.565-576
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    • 1997
  • The material-based homogenization design method generates arbitrary topologies of initial structural design as well as reinforcement structural design by controlling the amount of material available. However, if a small volume constraint is specified in the design of Lightweight structures, thin and slender structures are usually obtained. For these structures stability becomes one of the most important requirements. Thus, to prevent overall buckling (that is, to increase stability), the objective of the design is to maximize the buckling load of a structure. In this paper, the buckling analysis is restricted to the linear buckling behavior of a structure. The global stability requirement is defined as a stiffness constraint, and determined by solving the eigenvalue problem. The optimality conditions to update the design variables are derived based on the sequential convex approximation method and the dual method. Illustrated examples are presented to validate the feasibility of this method in the design of structures.