• 제목/요약/키워드: shape equation

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아치형 냉동저장공동 주위암반의 비정상상태 열전도 특성 및 열물성 평가 (Transient heat conduction in rock mass around arch shape cold storage cavern and estimation of in-situ thermal properties)

  • 신중호;박연준;김호영;박찬
    • 터널과지하공간
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    • 제9권1호
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    • pp.27-35
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    • 1999
  • 아치형 공동의 열원 경계에 대한 열전도 특성은 반무한평면이나 원형공동에 대한 열전도 특성과는 다른 양상을 나타낸다. 본 연구에서는 지하 냉동저장 pilot plant 의 운영을 통하여 계측된 저장공동 주위안반내 온도분포패턴의 분석을 통하여 아치형 공동의 열원 경계를 갖는 새로운 열전도식을 유도하였다. 계측된 암반온도 분포패턴은 선형적 변화와 로그함수적 변화의 중간적인 양상을 보였다. 열전파에 미치는 열물성 변수들의 영향도 분석 및 도출된 열전도식과 현장계측에 의한 암반온도 분포양상의 비교를 통하여 암반의 열물성을 추정하였다. 추정된 암반의 열전도도와 비열은 실내시험에 의한 무결 암석의 열물성과 비교해 20~25%의 차이를 보였다. 이는 암반내의 절리와 지하수의 영향에 기인한 것으로 판단되는데, 앞으로 현지암반에 대한 이들 영향요소의 조사와 열물성의 측정 및 비교분석을 통하여 정량적인 상관관계의 규명이 이루어져야 할 것이다.

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레벨 셋 기법을 이용한 에너지 흐름 문제의 형상 최적화 (Shape Optimization of Energy Flow Problems Using Level Set Method)

  • Seung-Hyun, Ha;Seonho, Cho
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.411-418
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    • 2004
  • Using a level set method we develop a shape optimization method applied to energy flow problems in steady state. The boundaries are implicitly represented by the level set function obtainable from the 'Hamilton-Jacobi type' equation with the 'Up-wind scheme.' The developed method defines a Lagrangian function for the constrained optimization. It minimizes a generalized compliance, satisfying the constraint of allowable volume through the variations of implicit boundary. During the optimization, the boundary velocity to integrate the Hamilton-Jacobi equation is obtained from the optimality condition for the Lagrangian function. Compared with the established topology optimization method, the developed one has no numerical instability such as checkerboard problems and easy representation of topological shape variations.

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FINDING THE OPTIMUM DOMAIN OF A NONLINEAR WAVE OPTIMAL CONTROL SYSTEM BY MEASURES

  • J., A.Fakharzadeh
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.183-194
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    • 2003
  • We will explain a new method for obtaining the nearly optimal domain for optimal shape design problems associated with the solution of a nonlinear wave equation. Taking into account the boundary and terminal conditions of the system, a new approach is applied to determine the optimal domain and its related optimal control function with respect to the integral performance criteria, by use of positive Radon measures. The approach, say shape-measure, consists of two steps; first for a fixed domain, the optimal control will be identified by the use of measures. This function and the optimal value of the objective function depend on the geometrical variables of the domain. In the second step, based on the results of the previous one and by applying some convenient optimization techniques, the optimal domain and its related optimal control function will be identified at the same time. The existence of the optimal solution is considered and a numerical example is also given.

날개꼴의 형상 최적화를 위한 유동방정식 영향 연구 (Influence of Flow Solvers On Airfoil Shape Optimization)

  • 정희택;류병석
    • 한국전산유체공학회지
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    • 제4권2호
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    • pp.67-73
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler, thin layer Navier-Stokes and full Navier-Stokes ones. are solved using implicit LU-ADI decomposition scheme. The gradient projection method with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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일정체적 변단면 기둥의 자유진동 (Free Vibrations of Tapered Columns with Constant Volume)

  • 이병구;이태은;최규문;송주한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.417-422
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    • 2002
  • The main purpose of this paper is to determine the dynamic optimal shapes of tapered column with constant volume. The linear, parabolic and sinusoidal tapers with the regular polygon cross-section are considered, whose material volume and span length are always held constant. The ordinary differential equation including the effect of axial load is applied to calculate the natural frequencies. The Runge-Kutta method and Regula-Falsi methods are used to integrate the differential equation and compute the frequencies, respectively. Then the dynamic optimal shape whose lowest natural frequency is highest is determined by reading the critical value of the frequency versus section ratio curve plotted by the frequency data. In the numerical examples, the tapered columns are analysed and the numerical result of this study are shown in table and figures.

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연직하중을 받는 케이블의 형상결정을 위한 반복계산법의 개발 (A Study on an Iteration Method for the Determination the Initial shape of the Cable)

  • 계만수;정진환;조현영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.83-90
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    • 2001
  • In the design of cable structures it is necessary to know the initial shape of the cable. The geometrical condition and the equilibrium equation of the cable are needed. Because the equilibrium equation is expressed by the simultaneous equations of second order, it is almost impossible to solve with elimination method. To solve it, we must use iteration method. In this study, the algorithm which can reduce the number of iteration and calculate shape of the cable is developed and compared with measured data through the laboratory test and the results represent good agreements.

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트러스구조물의 형태해석에 유전알고리즘의 응용 (Application of Genetic Algorithm for Shape Analysis of Truss Structures)

  • 문창훈;한상을
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.101-109
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    • 1998
  • Genetic Algorithm(GA), which is based on the theory of natural evolution, has been evaluated highly for their robust performances. The optimization problems on truss structures under the prescribed displacement are solved by using GA. In this paper, the homologous deformation of structures was proposed as the prescribed displacement. The shape analysis of structures is a kind of inverse problems different from stress analysis, and the governing equation becomes nonlinear. In this regard, GA was used to solve the nonlinear equation. In this study, the shape analysis method in which not only the positions of the objective nodes but also the layout and sectional area of the member are encoded to strings in the GA as design parameters of the structures is proposed.

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날개꼴의 형상 최적화를 위한 유동방정식 영향 연구 (Influence of Flow Solvers On Airfoil Shape Optimization)

  • 정희택;류병석
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 춘계 학술대회논문집
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    • pp.171-176
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler , thin layer Navier- Stokes and full Navier-Stokes ones, are solved using implicit LU-ADI decomposition scheme. The feasible direction algorithm with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식 (Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks)

  • 손수덕
    • 한국공간구조학회논문집
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    • 제24권1호
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

노즐 형상에 따른 Effervescent 이유체 노즐의 분무특성 (Atomization Characteristics of Effervescent Twin-fluid Nozzle with Different Nozzle Shapes)

  • 이상지;홍정구
    • 한국분무공학회지
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    • 제22권3호
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    • pp.146-152
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    • 2017
  • An experimental study was carried out to investigate the spray characteristics of non-circular effervescent twin-fluid nozzles. For this purpose, two types of non-circular nozzles (E1, E2) and circular nozzle (C) were used. Three types of aerorators with hole diameters of 1.2, 1.7 and 2.1 mm were used. Each aerorator has a total of 12 holes. It is defined by area ratio which is ratio of exit orifice area and aerator hole area. Experiments were carried out by controlling the amount of air flowing after fixing the flow rate of the liquid, and the nozzle internal pressure and SMD were measured, and the jet image was taken from the nozzles. The discharge coefficients of the three kinds of nozzles were compared with the used in plain orifice's equation and the Jedelsky's equation, and the Jedelsky's equation was found to be about 3 times larger. In addition, empirical formula based on ALR, which is the largest variable in Jedelsky's equation, was derived. The droplet sizes(SMD) were found to be smaller in the non-circular shape than in the circular shape, which is concluded to be caused by the difference of the discharge coefficients.