• 제목/요약/키워드: Penalty Term

검색결과 63건 처리시간 0.02초

하이브리드 입자-격자 방법에서의 압력장 계산 (Computation of Pressure Fields for a Hybrid Particle-Mesh Method)

  • 이승재;서정천
    • 대한조선학회논문집
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    • 제51권4호
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    • pp.328-333
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    • 2014
  • A hybrid particle-mesh method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations is a combination of the Vortex-In-Cell(VIC) method for convection and the penalization method for diffusion. The key feature of the numerical methods is to determine velocity and vorticity fields around a solid body on a temporary grid, and then the time evolution of the flow is computed by tracing the convection of each vortex element using the Lagrangian approach. Assuming that the vorticity and velocity fields are to be computed in time domain analysis, pressure fields are estimated through a complete set of solutions at present time step. It is possible to obtain vorticity and velocity fields prior to any pressure calculation since the pressure term is eliminated in the vorticity-velocity formulation. Therefore, pressure field is explicitly treated by solving a suitable Poisson equation. In this paper, we propose a simple way to numerically implement the vorticity-velocity-pressure formulation including a penalty term. For validation of the proposed numerical scheme, we illustrate the early development of viscous flows around an impulsive started circular cylinder for Reynolds number of 9500.

전력계통의 단기 발전계획 기원용 전문가시스템 (An Expert System for Short-Term Generation Scheduling of Electric Power Systems)

  • Yu, In-Keun
    • 대한전기학회논문지
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    • 제41권8호
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    • pp.831-840
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    • 1992
  • This paper presents an efficient short-term generation scheduling method using a rule-based expert/consulting system approach to assist electric energy system operators and planners. The expert system approach is applied to improve the Dynamic Programming(DP) based generation scheduling algorithm. In the selection procedure of the feasible combinations of generating units at each stage, automatic consulting on the manipulation of several constraints such as the minimum up time, the minimum down time and the maximum running time constraints of generating units will be performed by the expert/consulting system. In order to maximize the solution feasibility, the aforementioned constraints are controlled by a rule-based expert system, that is, instead of imposing penalty cost to those constraint violated combinations, which sometimes may become the very reason of no existing solution, several constraints will be manipulated within their flexibilities using the rules and facts that are established by domain experts. In this paper, for the purpose of implementing the consulting of several constraints during the dynamic process of generation scheduling, an expert system named STGSCS is developed. As a building tool of the expert system, C Language Integrated Production System(CLIPS) is used. The effectiveness of the proposed algorithm has been demonstrated by applying it to a model electric energy system.

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대규모 비선형 시스템의 새로운 계층별 최적제어 (A New Approach for Hierarchical Optimization of Large Scale Non-linear Systems)

  • 박준훈;김종부
    • 전자공학회논문지T
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    • 제36T권2호
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    • pp.21-31
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    • 1999
  • 대규모 시스템 제어와 관련하여 몇 개의 부시스템으로 분할하여 처리하는 계층별 제어이론이 많이 연구되어 왔으며 특히 치수가 높은 대규모 비선형 시스템의 경우에 고차의 비선형 미분방정식을 동시에 적분을 해야하고 많은 계산량을 필요로 하므로 해를 구하기가 어려운 문제가 있다. 1980년대 Singh과 Hassan은 상호예측 알고리즘(two level prediction algorithm)을 제시한바 있고 이 방법은 비선형 대규모 시스템의 최적제어에 효과적이나 시스템 행렬 Q, R, S, H에 따라 제한된 최적화 구간에서만 성립되는 등 최적화 구간의 길이와 수렴성 여부가 행렬 값에 영향을 받는 알고리즘상의 단점이 있다. 본 연구에서는 수렴조건으로부터 평가함수에 구속조건(quadratic penalty term)을 부여하지 않는 새로운 개선된 알고리즘을 제시 적용하여 시스템 행렬 결정을 위한 과정 없이 수렴속도의 향상과 함께 최적의 수렴성 및 최적화 구간을 얻도록 했다. 분할된 비선형 시스템의 최적제어를 위해서는, 대수 반복연산만으로 2점 경계치 문제(two point boundary value problem)를 해결함으로써 기존의 수치 해석법에 비해 연산이 간단한 블록펄스 변환 방법을 사용해서 처리했다.

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동적(動的) 구조(構造) 재설계(再說計)를 위한 비선형(非線形) 섭동법(攝動法) (Nonlinea Perturbation Method for Dynamic Structural Redesign)

  • 조규남
    • 대한조선학회지
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    • 제26권1호
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    • pp.39-45
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    • 1989
  • 선체구조물이나 해양구조물의 동적응답중 원치 않는 고유진동수와 고유진동형태를 가지게 되는 경우가 있으며, 이러한 구조물은 동적 구조 재설계가 필수적이다. 본 소고에서는 비감쇄 구조물의 고유진동수와 진동형태를 기진력에 의한 특정한 진동수와 공진하지 않도록 또는 구조물의 중요한 부분이 특정 진동형태의 최대치에 오지 않도록 구조물의 질량과 강성을 최적하게 변화시키는 방법에 대해 논의하고 있다, 이 방법은 기존의 방법에서 사용되는 모든 고유진동형태의 수식포함과 달리 구속된 고유진동형태만을 미지수로 수식중에 사용하여 불필요한 계산과정을 줄이고 있다. 동적 구조 재설계중 최적화 문제에 중점을 두었으며 목적함수로는 구조물의 최소의 변화와 또는 최소의 중량을 취하였고, 예제를 통하여 본 방법의 응용과 효율성이 입증되었다. 예제에서는 간단한 구조물을 다루었으나 본 방법은 상용 유한요소코드의 연계이용으로 각종 선체구조물과 해양구조물의 진동문제해결에 응용될 수 있음은 자명한 일이다.

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멀티캐스트 서비스 환경에서 역치 기반의 연결 수락 제어 방안 연구 (A Study on Threshold-based Admission Control Algorithm for Multicast Service)

  • 조성균;최성곤;이종민;최준균
    • 대한전자공학회논문지TC
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    • 제42권12호
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    • pp.1-8
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    • 2005
  • 본 논문에서는 방송, 통신, 인터넷이 하나가 되는 BcN 환경에서 멀티캐스트 서비스를 위한 연결 수락 제어(Call Admission Control) 방안에 대하여 알아본다. 제한된 시스템의 처리 용량으로 인해 서비스 요청에 대하여 적절하게 연결 수락을 제어함으로써 QoS를 효과적으로 지원하는 것이 필요하다. 그 방법으로 하나의 멀티캐스트 서비스에 대하여 세 가지 등급으로 나누어, 각 등급마다 처리할 수 있는 역치(Threshold)를 정하여 제한된 역치 범위 안에서 서비스 요청을 수락할 수 있다. 특히, 시스템 입장에서 등급별 서비스 요청에 대하여 수락 및 거절함에 따른 이익(Reward)과 손실(Penalty)을 근거로 정의되는 시스템 cost 모델인 GAIN을 정의하여 최대한의 이득을 가져올 수 있는 역치의 범위를 정하고, 이를 근거로 서비스 요청을 제어한다. 성능 분석을 위하여 시스템을 M/M/m/m으로 모델링하여 다양한 환경에서 GAIN을 알아보고, 제안된 알고리즘의 효과를 보인다.

근사 선탐색을 이용한 동적 반응 최적화 (Dynamic response optmization using approximate search)

  • 김민수;최동훈
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.811-825
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    • 1998
  • An approximate line search is presented for dynamic response optimization with Augmented Lagrange Multiplier(ALM) method. This study empolys the approximate a augmented Lagrangian, which can improve the efficiency of the ALM method, while maintaining the global convergence of the ALM method. Although the approximate augmented Lagragian is composed of only the linearized cost and constraint functions, the quality of this approximation should be good since an approximate penalty term is found to have almost second-order accuracy near the optimum. Typical unconstrained optimization algorithms such as quasi-Newton and conjugate gradient methods are directly used to find exact search directions and a golden section method followed by a cubic polynomial approximation is empolyed for approximate line search since the approximate augmented Lagrangian is a nonlinear function of design variable vector. The numberical performance of the proposed approach is investigated by solving three typical dynamic response optimization problems and comparing the results with those in the literature. This comparison shows that the suggested approach is robust and efficient.

有限要素法 에 의한 線型彈性體 의 特定摩擦接觸問題 에 대한 數値解析 (Numerical Analysis of a Class of Contact Problems Involving Friction Effects in Linear Elasticity by Finite Element Methods)

  • 송영준
    • 대한기계학회논문집
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    • 제7권1호
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    • pp.52-63
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    • 1983
  • The purpose of the study is to find development of contact area, contact pressure and friction forces occurring at joints or connection areas inbetween structural members or mechanical parts. The problem has a pair of difficulties intrinsically; a constraint of displacement due to contact, and presence of work term by nonconservative friction force in the variational principle of the problem. Because of these difficulties, the variational principle remains in the form of inequality. It is resolved by penalty method and perturbation method making the inequality to an equality which is proper for computational purposes. A contact problem without friction is solved to find contact area and contact pressure, which are to be used as data for the analysis of the friction problem using perturbed variational principle. For numerical experiments, a Hertz problem, a rigid punch problem, and the latter one with friction effects are solved using $Q_2$-finite elements.

PENALIZED APPROACH AND ANALYSIS OF AN OPTIMAL SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS

  • Kim, Hong-Chul
    • 대한수학회지
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    • 제38권1호
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    • pp.1-23
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    • 2001
  • This paper is concerned with an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. by introducing an artificial compressibility term to relax the incompressibility constraints, we take the penalty method. The existence of optima solutions for the penalized problem will be shown. Next, by employing Lagrange multipliers method and the material derivatives, we derive the shape gradient for the minimization problem of the shape functional which represents the viscous drag.

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구조물 주변의 Stokes 흐름에 대한 적응적 유한요소 해석을 위한 변절점 요소 (Variable-Node Element for Adaptive Finite Element Analysis of Stokes Flow around Structure)

  • 최창근;유원진;정근영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.168-175
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    • 1996
  • This paper deals with the variable-node element for fluid flow and the adaptive h-version mesh refinement algorithm. The transient element has been formulated by the Galerkin approach in which the pressure term is replaced with the penalty function. The present element having variable mid-side node and is suitable for constructing a locally refined mesh avoiding the use of the highly distorted elements. A modified Gauss quadrature is needed to integrate the element matrices to solve the trouble associated with the discontinuity of derivatives of shape functions. Several numerical examples show that the proposed element can be effectively used in the h-version adapt ive mesh refinement

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Filtering Technique to Control Member Size in Topology Design Optimization

  • Kim, Tae-Soo;Kim, Jae-Eun;Jeong, Je-Hyun;Kim, Yoon-Young
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.253-261
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    • 2004
  • A simple and effective filtering method to control the member size of an optimized structure is proposed for topology optimization. In the present approach, the original objective sensitivities are replaced with their relative values evaluated within a filtering area. By adjusting the size of the filtering area, the member size of an optimized structure or the level of its topological complexity can be controlled even within a given finite element mesh. In contrast to the checkerboard-free filter, the present filter focuses on high-frequency components of the sensitivities. Since the present filtering method does not add a penalty term to the objective function nor require additional constraints, it is not only efficient but also simple to implement. Mean compliance minimization and eigenfrequency maximization problems are considered to verify the effectiveness of the present approach.