• Title/Summary/Keyword: SQP algorithm

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실험계획법을 이용한 인공위성 주반사경 플렉셔 마운트의 최적 설계 (Optimal Design of the Flexure Mounts for Satellite Camera by Using Design of Experiments)

  • 김현중;서유덕;윤성기;이승훈;이덕규;이응식
    • 대한기계학회논문집A
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    • 제32권8호
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    • pp.693-700
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    • 2008
  • The primary mirror system in a satellite camera is an opto-mechanically coupled system for a reason that optical and mechanical behaviors are intricately interactive. In order to enhance the opto-mechanical performance of the primary mirror system, opto-mechanical behaviors should be thoroughly investigated by using various analysis procedures such as elastic, thermo-elastic, optical and eigenvalue analysis. In this paper, optimal design of the bipod flexure mounts for high opto-mechanical performance is performed. Optomechanical performances considered in this paper are RMS wavefront error under the gravity and thermal loading conditions and 1st natural frequency of the mirror system. The procedures of the flexure mounts design based on design of experiments and statistics is as follows. The experiments for opto-mechanical analysis are constructed based on the tables of orthogonal arrays and analysis of each experiment is carried out. In order to deal with the multiple opto-mechanical properties, MADM (Multiple-attribute decision making) is employed. From the analysis results, the critical design variables of the flexure mounts which have dominant influences on opto-mechanical performance are determined through analysis of variance and F-test. The regression model in terms of the critical design variables is constructed based on the response surfaceanalysis. Then the critical design variables are optimized from the regression model by using SQP algorithm. Opto-mechanical performance of the optimal bipod flexure mounts is verified through analysis.

위치별 산란특성을 반영한 측정기반 얼굴 렌더링 (Measurement-based Face Rendering reflecting Positional Scattering Properties)

  • 박선용;오경수
    • 한국게임학회 논문지
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    • 제9권5호
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    • pp.137-144
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    • 2009
  • 이 논문은 피하산란의 정도가 다를 것으로 예상되는 얼굴의 6개의 부위를 촬영하여 각각의 산란특성을 추출하고 렌더링에 반영하여 얼굴의 사실감 있는 표현이 가능한 방법을 제안한다. 각 부위별 산란이미지는 프로젝터로부터 피부에 입사된 단위광선이 내부 산란을 거쳐 밖으로 드러나는 모양을 여러 노출로 촬영하여 HDR 이미지로 합성하고, 비선형 최소제곱합의 해법 중 Sequential Quadratic Programming을 이용하여 광선의 입사지점을 지나는 단면이 이루는 곡선에 '가우스 함수의 선형결합'을 적합한다. 가우스 함수는 산란곡선을 잘 근사하면서 필터로서 적용이 쉬운 장점을 가진다. 우리는 최소제곱합의 해가 지역 해에 빠지는 않도록 유전알고리듬을 이용해 초기 값을 설정한다. 근사된 식의 각 가우스 항은 얼굴에 입사되는 복사조도를 렌더링한 텍스처에 가우스 필터로 적용되어 피하산란효과를 표현. 이 논문에서는 최대 12회의 가우스 필터링을 효율적으로 처리하기 위해 쿠다의 병렬처리능력를 활용하였다.

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복합재 연소관의 금속 보스 형상 최적설계 (Shape Optimization of the Metal Boss for a Composite Motor Case)

  • 정승민;김형근;황태경
    • 한국추진공학회지
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    • 제20권6호
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    • pp.29-37
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    • 2016
  • 본 논문에서는 유한요소해석을 이용하여 복합재 연소관의 금속 보스에 대한 형상 최적설계기법을 제안하였다. 복합재 연소관의 구조 안전성을 위해 연소관 내압에 의한 돔 부위의 섬유응력과 보스 체결 볼트의 응력을 제한하였고, 경량화를 위해 보스의 무게를 목적함수로 설정하였다. 또한 반응표면법을 이용하여 특성치에 대한 반응표면모델을 구축하였다. 그리고 분산분석을 이용해 각 특성치에 대한 설계변수의 유의성을 평가하고 회귀분석을 통해 구축된 모델의 적합성을 검증하였다. 최적화를 위해 순차이차계획법 알고리즘을 이용하였고, 도출된 최적형상에 대한 구조해석을 수행함으로써 제안한 기법의 효용성을 검증하였다.

Optimum design of lead-rubber bearing system with uncertainty parameters

  • Fan, Jian;Long, Xiaohong;Zhang, Yanping
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.959-982
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    • 2015
  • In this study, a non-stationary random earthquake Clough-Penzien model is used to describe earthquake ground motion. Using stochastic direct integration in combination with an equivalent linear method, a solution is established to describe the non-stationary response of lead-rubber bearing (LRB) system to a stochastic earthquake. Two parameters are used to develop an optimization method for bearing design: the post-yielding stiffness and the normalized yield strength of the isolation bearing. Using the minimization of the maximum energy response level of the upper structure subjected to an earthquake as an objective function, and with the constraints that the bearing failure probability is no more than 5% and the second shape factor of the bearing is less than 5, a calculation method for the two optimal design parameters is presented. In this optimization process, the radial basis function (RBF) response surface was applied, instead of the implicit objective function and constraints, and a sequential quadratic programming (SQP) algorithm was used to solve the optimization problems. By considering the uncertainties of the structural parameters and seismic ground motion input parameters for the optimization of the bearing design, convex set models (such as the interval model and ellipsoidal model) are used to describe the uncertainty parameters. Subsequently, the optimal bearing design parameters were expanded at their median values into first-order Taylor series expansions, and then, the Lagrange multipliers method was used to determine the upper and lower boundaries of the parameters. Moreover, using a calculation example, the impacts of site soil parameters, such as input peak ground acceleration, bearing diameter and rubber shore hardness on the optimization parameters, are investigated.

나노 정밀도 스캐닝 용 공기베어링과 보이스 코일 모터의 초정밀 이중 스테이지 설계 및 제어 (Design and Control of Ultra-precision Dual Stage with Air bearings and Voice coil motor for nm scanning system)

  • 김기현;최영만;김정재;이문구;이석원;권대갑
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1883-1886
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    • 2005
  • In this paper, a decoupled dual servo (DDS) stage for ultra-precision scanning system with large working range is introduced. In general, dual servo systems consist of a fine stage for short range and a coarse stage for long range. The proposed DDS also consists of a $XY\theta$ fine stage for handling and carrying workpieces and one axis coarse stage. Its coarse stage consists of air bearing guide system and a coreless linear motor with force ripple. The fine has four voice coil motors(VCM) as its actuator. According to a VCM's nature, there are no mechanical connections between coils and magnetic circuits. Moreover, VCM doesn't have force ripples due to imperfections of commutation components of linear motor systems - currents and flux densities. However, due to the VCM's mechanical constraints the working range of the fine is about $25mm^2$. To break that hurdle, the coarse stage with linear motors is used to move the fine about 500mm. Because of the above reasons, the proposed DDS can achieve higher precision scanning than other stages with only one servo. With MATLAB's Sequential Quadratic Programming (SQP), the VCMs are optimally designed for the highest force under conditions and constraints such as thermal dissipations due to its coil, its size, and so on. And for their movements without any frictions, guide systems of the DDS are composed of air bearings. To get precisely their positions, a linear scale with 5nm resolution are used for the coarse stage's motion and three plane mirror laser interferometers with 5nm for the fine's $XY\theta$ motions. With them, on scanning the two stages have same trajectories. The control algorithm is named Parallel method. The embodied ultra-precision scanning system has sub 100nm following error and in-positioning stability.

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