• 제목/요약/키워드: Global sensitivity equation

검색결과 17건 처리시간 0.023초

에너지 저장시스템용 복합재 플라이휠 로터의 설계 (Design of a Composite Flywheel Rotor for Energy Storage System)

  • 정희문;최상규;하성규
    • 대한기계학회논문집
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    • 제19권7호
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    • pp.1665-1674
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    • 1995
  • An optimum design has been performed to maximize specific energy (SED) of composite flywheel rotor for energy storage system. The flywheel rotor is assumed to be an axisymmetric thick laminated shell with a plane strain state for structural analysis. For the structural analysis the centrifugal force is considered and the stiffness matrix equation was derived for each ring considering the interferences between the rings. The global stiffness matrix was derived by integrating the local stiffness matrix satisfying the conditions of force and displacement compatibilities. Displacements are then calculated from the global stiffness matrix and the stresses in each ring are also calculated. 3-D intra-laminar quadratic Tsai-Wu criterion is then used for the strength analysis. An optimum procedure is also developed to find the optimal interferences and lay up angle to maximize SED using the sensitivity analysis.

자동미분을 이용한 분리시스템동시최적화기법의 개선 (Improved Concurrent Subspace Optimization Using Automatic Differentiation)

  • 이종수;박창규
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.359-369
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    • 1999
  • The paper describes the study of concurrent subspace optimization(CSSO) for coupled multidisciplinary design optimization (MDO) techniques in mechanical systems. This method is a solution to large scale coupled multidisciplinary system, wherein the original problem is decomposed into a set of smaller, more tractable subproblems. Key elements in CSSO are consisted of global sensitivity equation(GSE), subspace optimization (SSO), optimum sensitivity analysis(OSA), and coordination optimization problem(COP) so as to inquiry valanced design solutions finally, Automatic differentiation has an ability to provide a robust sensitivity solution, and have shown the numerical numerical effectiveness over finite difference schemes wherein the perturbed step size in design variable is required. The present paper will develop the automatic differentiation based concurrent subspace optimization(AD-CSSO) in MDO. An automatic differentiation tool in FORTRAN(ADIFOR) will be employed to evaluate sensitivities. The use of exact function derivatives in GSE, OSA and COP makes Possible to enhance the numerical accuracy during the iterative design process. The paper discusses how much influence on final optimal design compared with traditional all-in-one approach, finite difference based CSSO and AD-CSSO applying coupled design variables.

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자동미분을 이용한 민감도기반 분리시스템동시최적화기법의 개선 (Improvement of Sensitivity Based Concurrent Subspace Optimization Using Automatic Differentiation)

  • 박창규;이종수
    • 대한기계학회논문집A
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    • 제25권2호
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    • pp.182-191
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    • 2001
  • The paper describes the improvement on concurrent subspace optimization(CSSO) via automatic differentiation. CSSO is an efficient strategy to coupled multidisciplinary design optimization(MDO), wherein the original design problem is non-hierarchically decomposed into a set of smaller, more tractable subspaces. Key elements in CSSO are consisted of global sensitivity equation, subspace optimization, optimum sensitivity analysis, and coordination optimization problem that require frequent use of 1st order derivatives to obtain design sensitivity information. The current version of CSSO adopts automatic differentiation scheme to provide a robust sensitivity solution. Automatic differentiation has numerical effectiveness over finite difference schemes tat require the perturbed finite step size in design variable. ADIFOR(Automatic Differentiation In FORtran) is employed to evaluate sensitivities in the present work. The use of exact function derivatives facilitates to enhance the numerical accuracy during the iterative design process. The paper discusses how much the automatic differentiation based approach contributes design performance, compared with traditional all-in-one(non-decomposed) and finite difference based approaches.

자동차 충돌문제에 MDO를 적용하기 위한 시스템 해석 방법 개발 (Development of System Analysis for the Application of MDO to Crashworthiness)

  • 신문균;김창희;박경진
    • 한국자동차공학회논문집
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    • 제11권5호
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    • pp.210-218
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    • 2003
  • MDO (multidisciplinary design optimization) technology has been proposed and applied to solve large and complex optimization problems where multiple disciplinaries are involved. In this research. an MDO problem is defined for automobile design which has crashworthiness analyses. Crash model which are consisted of airbag, belt integrated seat (BIS), energy absorbing steering system .and safety belt is selected as a practical example for MDO application to vehicle system. Through disciplinary analysis, vehicle system is decomposed into structure subspace and occupant subspace, and coupling variables are identified. Before subspace optimization, values of coupling variables at given design point must be determined with system analysis. The system analysis in MDO is very important in that the coupling between disciplines can be temporary disconnected through the system analysis. As a result of system analysis, subspace optimizations are independently conducted. However, in vehicle crash, system analysis methods such as Newton method and fixed-point iteration can not be applied to one. Therefore, new system analysis algorithm is developed to apply to crashworthiness. It is conducted for system analysis to determine values of coupling variables. MDO algorithm which is applied to vehicle crash is MDOIS (Multidisciplinary Design Optimization Based on Independent Subspaces). Then, structure and occupant subspaces are independently optimized by using MDOIS.

독립적 하부 시스템에 의한 다분야 통합 최적설계 (Mathematical Validation of Multidisciplinary Design Optimization Based on Independent Subspaces)

  • 신문균;박경진
    • 대한기계학회논문집A
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    • 제28권2호
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    • pp.109-117
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    • 2004
  • Optimization has been successfully applied to systems with a single discipline. As many disciplines are involved in coupled fashion, MDO (multidisciplinary design optimization) technology has been developed. MDO algorithms are trying to solve the coupled aspects generated from interdisciplinary relationship. In a general MDO algorithms, a large design problem is decomposed into small ones which can be easily solved. Although various methods have been proposed for MDO, the research is still in the early stage. This research proposes a new MDO method which is named as MDOIS (Multidisciplinary Design Optimization Based on Independent Subspaces). Many real engineering problems consist of physically separate components and they can be independently designed. The inter-relationship occurs through coupled physics. MDOIS is developed for such problems. In MDOIS, a large system is decomposed into small subsystems. The coupled aspects are solved via system analysis which solves the coupled physics. The algorithm is mathematically validated by showing that the solution satisfies the Karush-Kuhn-Tucker condition.

다양한 해석적 방법에 의한 케이블 구조의 장력 추정 (Tension Force Identification of Cable Structures using Various Analytical Methods)

  • 노명현;이상열
    • 복합신소재구조학회 논문집
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    • 제3권3호
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    • pp.38-46
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    • 2012
  • The method based on various mathematical characteristic equations for identifying tensile forces in the cable structure system are used as response data to reflect the properties of the dynamic sensitivity. The vibration tests have been conducted with respect to levels of applied weight for the sagged cable. In this study, a set of natural frequencies are extracted from the measured dynamic data. Next, existing characteristic equation methods based these extracted natural frequencies are applied to identify tensil forces of the sagged cable system. Through several verification procedures, the proposed methods could be applied to a sagged cable system when the initial material data are insufficiency.

Impacts of Albedo and Wind Stress Changes due to Phytoplankton on Ocean Temperature in a Coupled Global Ocean-biogeochemistry Model

  • Jung, Hyun-Chae;Moon, Byung-Kwon
    • 한국지구과학회지
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    • 제40권4호
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    • pp.392-405
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    • 2019
  • Biogeochemical processes play an important role in ocean environments and can affect the entire Earth's climate system. Using an ocean-biogeochemistry model (NEMO-TOPAZ), we investigated the effects of changes in albedo and wind stress caused by phytoplankton in the equatorial Pacific. The simulated ocean temperature showed a slight decrease when the solar reflectance of the regions where phytoplankton were present increased. Phytoplankton also decreased the El $Ni{\tilde{n}}o$-Southern Oscillation (ENSO) amplitude by decreasing the influence of trade winds due to their biological enhancement of upper-ocean turbulent viscosity. Consequently, the cold sea surface temperature bias in the equatorial Pacific and overestimation of the ENSO amplitude were slightly reduced in our model simulations. Further sensitivity tests suggested the necessity of improving the phytoplankton-related equation and optimal coefficients. Our results highlight the effects of altered albedo and wind stress due to phytoplankton on the climate system.

태양활동 긴 주기와 기후변화의 연관성 분석 (Long Term Variability of the Sun and Climate Change)

  • 조일현;장헌영
    • Journal of Astronomy and Space Sciences
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    • 제25권4호
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    • pp.395-404
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    • 2008
  • 태양활동프록시(proxies)와 지구연평균 기온아노말리 시계열을 이용하여 기후변화에서 태양활동신호를 찾아보았다. 이를 위해 Lomb & Scargle의 피어리드그램(Periodgram)을 이용하여 태양활동프록시와 기온아노말리 시계열을 주기분석하였다. 또한 EMD(Empirical Mode Decomposition)과 MODWR MRA(Maxial Overlap Discrete Wavelet Transform Multi Resolution Analysis)를 적용하여 두 시계열을 성분분해하고 이들 중 비슷한 주기의 특성을 보이는 성분을 비교하였다. 태양활동프록시는 짧의 주기의 파워가 긴 주기의 파워에 비해서 큰 반면 기온아노말리는 긴 주기에서 더 큰 파워를 보였다 EMD에 의한 성분분해 결과는 약40년보다 긴 주기성을 갖는 성분을 분해해 낼 수 없었지만 잔차 성분은 비교할 수 있었다. MRA에 의한 성분분해를 통해 지구연평균 기온아노말리 시계열에서 태양활동의 변화에 의한 신호를 찾아내었다. 1960년부터 2007년까지 기온상승에 대한 태양의 기여도는 39%로 계산되었다. 기후민감성은 출력신호의 진폭에만 관계하여 기후시스템이 간단한 2계미분방정식으로 근사될 수 있는 가능성에 대해 토의하였다.

설계민감도 해석에서 역전파 방법을 사용한 응력제한조건 위상최적설계 (Stress Constraint Topology Optimization using Backpropagation Method in Design Sensitivity Analysis)

  • 김민근;김석찬;김재승;이재경;이근호
    • 한국전산구조공학회논문집
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    • 제35권6호
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    • pp.367-374
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    • 2022
  • 본 논문에서는 역전파 방법 기반 자동미분법을 이용하여 설계민감도를 구하고 이를 응력제한조건을 고려한 위상최적설계에 적용하였다. 응력제한조건이 있는 위상최적화문제는 특이점(singularity)과 응력의 국부성(local nature of stress constraint)문제, 그리고 설계 변수에 대한 비선형성의 문제를 포함하고 최적해를 얻기가 매우 힘들다. 특이점 문제를 해결하기 위해서 응력 완화(stress relaxation) 기법을 사용하였고, 응력의 국부성을 해결하기 위해 p-norm을 이용한 전역 응력치를 제한조건에 사용하였다. 설계 변수에 대한 비선 형성을 극복하기 위해 해석적인 방법으로 정확한 설계민감도를 구하는 것이 중요하다. 위상최적설계에서 기존에는 보조변수방법 (adjoint variable method)을 사용하여 빠르고 정확한 설계민감도를 구했지만, 설계민감도를 해석적으로 구해야 하고, 보조평형방정식을 추가로 풀어야 하는 어려움이 있다. 이를 해결하기 위해서 인공신경망에서 최적 가중치(weights)와 편차(biases)를 구할 때 쓰이는 역전파 기법을 이용하여 설계민감도를 구하고 이를 응력제한조건을 고려한 위상최적설계에 적용하였다. 역전파 기법은 자동미분에 쓰이는 기법으로 목적함수나 제한조건에 대한 설계민감도를 별도의 수식유도 없이 간단하게 구할 수 있는 장점이 있다. 또한, 미분값을 구하는 역전파의 과정이 보조평형방정식을 푸는 것보다 계산시간이 빠르고 해석적 방법으로 구한 설계민감도와 같은 정확도를 보여준다.

지표 미량기체 방출에 대한 두 가지 다른 형태의 Enclosure 기반 측정 방법의 응용 및 Flow-through Dynamic System을 이용한 토양 NO 방출의 민감도 분석 (Two Different Enclosure-based Measurements Applications for Trace Gas Surface Emission and Sensitivity Analysis for Soil NO Emission by Using a Flow-through Dynamic System)

  • 김득수
    • 한국농림기상학회지
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    • 제9권3호
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    • pp.170-178
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    • 2007
  • 지난 수 세기 동안 온실기체와 기타 화학적으로 중요한 미량기체들이 급격하게 증가하였다. 이러한 주요기체가 기후 변화에 미치는 영향을 이해하기 위해서는 각 기체들의 흡원과 발원을 규명하고, 생물권과 대기권 사이에서 발생하는 생물 기원 기체 플럭스들을 특성화하며, 주요 기체를 조절하는 프로세스들을 이해해야 한다. 본 논문에서는 야외 실험을 위한 실용적 방법인 enclosure 기반의 관측법을 소개한다. 특히, 토양표면에서 방출되는 일산화질소 플럭스에 대한 enclosure내에서의 질량수지 방정식과 flow-through dynamic 플럭스 챔버 기법의 민감도를 제시하고 flow-through dynamic 플럭스 챔버 방법의 물리적인 시스템과 이론을 소개한다. 또한 챔버 벽에서 발생하는 일산화질소의 손실을 고려하므로써 새로운 플럭스 계산식을 소개하였고 그 계산식의 불확실성을 논의하였다.