• Title/Summary/Keyword: saddle point

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Quality Measurement of Rice - Mixture Extrudate by the Response Surface Regression Analysis (반응표면분석에 의한 쌀 압출성형물의 품질평가)

  • 고광진;김준평
    • Journal of the East Asian Society of Dietary Life
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    • v.1 no.3
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    • pp.305-311
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    • 1991
  • The study was designed to investigate overall acceptability of rice extrudate with added ginseng flour extruded by single screw extruder. Graphic three dimension analysis on response surface regression was conducted for overall acceptability evaluated by balanced incomplete block design. Overall acceptability, which formed a saddle point, increased as moisture content increased at lower die temperature, and as moisture content decreased at higher die temperature. Critical values of each variable which indicated optimum response are 5.0% ginseng content, 17.8% moisture content and 104.6$^{\circ}C$ die temperature, and optimum inferred score of overall acceptability is 59.6 and 90. Key words: extrdate, overall acceptability, response surface regression analysis, balanced incomplete block method.

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Application of various flow visualization techniques on complicated three-dimensional flows (3차원 유동내에서 다양한 유동가시화 기술의 응용)

  • 정진택
    • Journal of the KSME
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    • v.33 no.9
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    • pp.803-810
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    • 1993
  • 벽면에서의 전단응력 분포와 유동장 내에서의 3차원 유동 요소를 추적하는 유동가시화 기법중 에서 몇 가지를 그 응용 예와 함께 살펴보았다. 3차원 유동의 주요 특징들과 한계유선(limiting streamlines)을 관찰하기 위해서는 oil and lampblack 기법이 충분하나 유속이 작거나 유동의 방향이 분명하지 않은 곳에서는 ink dot 기법을 적용하는 것이 좋다. Oil and lampblack 기법은 실험하고자 하는 유동의 조건에 따라 기름과 분말의 혼합비, 기름의 점도 등을 잘 선택하여야 한다. 안장점(Saddle point) 이나 재부착선(reattachment line)과 같이 성격상 중요한지점을 찾기 위해서는 털실 프로브(single tuft probe)가 유용하게 쓰이며, 이는 또 유동내에서 와동의 존재와 위치를 찾는데 쓰이기도 한다. 수치해석 결과 얻을 수 잇는 속도벡터와 같이 비교적 넓은 유동 장을 한눈에 관찰하기 위해서는 털실 격자망 (tuft grid)을 사용할 수 있으며 각 털실은 그 지 점세서의 유동의 방향과 그 안정성(steadiness)를 나타내준다. 이러한 유동가시화 방법들은 각 유동의 특성에 맞는 적절한 조건을 맞추기 위해서 많은 시행착오를 거쳐야 하며, 하나의 만족 스러운 결과를 얻기 위해서는 많은 기술과 시간과 연습을 요구하고 있어서 다른 정량적인 측정 기술과 더불어 커다란 노력과 관심을 기울여서 발전시켜야만 할 것이다.

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Reliability Optimization By using a Nonlinear Programming (비선형계량법(非線型計量法)을 이용한 신뢰성(信賴性)의 최적화(最適化))

  • Lee, Chang-Ho
    • Journal of Korean Society for Quality Management
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    • v.9 no.2
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    • pp.31-36
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    • 1981
  • This paper deals with the reliability optimization of parallel - in - series system subject to several linear constraints. The model of nonlinear constrained optimization is transformed to a saddle point problem by using Lagrange multipliers. Then Newton - Raphson method is used to solve the resulting problem and these step - by - step solution procedures are programmed in Basic Level II of micro - computer TRS-80. An example which has two linear constraints is solved and the results are analyzed.

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ON OPTIMAL CONTROL OF A BOUNDARY VALUE PROBLEM

  • Kim, Hongchul;Rim, Gye-Soo
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.27-46
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    • 1998
  • We are concerned with an optimal control problem governed by a Poisson equation in which body force acts like a control parameter. The cost functional to be optimized is taken to represent the error from the desired observation and the cost due to the control. We recast the problem into the mixed formulation to take advantage of the minimax principle for the duality method. The existence of a saddle point for the Lagrangian shall be shown and the optimality system will be derived therein. Finally, to attain an optimal control, we combine the optimality system with an operational technique. By achieving the gradient of the cost functional, a convergent algorithm based on the projected gradient method is established.

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Radition characteristics of a slot antenna in a conducting cylinder convered with a moving isotropic plasma layer (운동중인 등방성 플라즈마 층으로 덮인 도체 실린더 슬랏 안테나의 복사특성)

  • 김남태
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.2
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    • pp.298-305
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    • 1997
  • In this paper, the radiation characteristics of a slot annenna in conduction cylinder covered with a moving isotropic plasma layer are analyzed. Integral representations of the eletromagnetic fields in the spectral domain radiated through the plasma layer are derived and converted into the fields in the spacial domain by saddle-point ingegration. Radiation null which brings about distorion in the radiation parrern is explained by the zero of integrand in an asymptotic integral as a function of plasma and velocity parameters. Numerical results for a radiation null calculated from various plasma and velocity parameters correspond to the results of planner structure.

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Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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Local A Posteriori Error Estimates for Obstacle Contact Problems (장애물 접촉문제에서의 지역 A Posteriori 오차계산)

  • 이춘열
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.5
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    • pp.120-127
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    • 1998
  • Differential inequalities occurring in problems of obstacle contact problems are recast into variational inequalities and analyzed by finite element methods. A new a posteriori error estimator, which is essential in adaptive finite element method, is introduced to capture the errors in finite element approximations of these variational inequalities. In order to construct a posteriori error estimates, saddle point problems are introduced using Lagrange parameters and upper bounds are provided. The global upper bound is localized by a special mixed formulation, which leads to upper bounds of the element errors. A numerical experiment is performed on an obstacle contact problem to check the effectivity index both in a local and a global sense.

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Field measurements of wind characteristics over hilly terrain within surface layer

  • He, Y.C.;Chan, P.W.;Li, Q.S.
    • Wind and Structures
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    • v.19 no.5
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    • pp.541-563
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    • 2014
  • This paper investigates the topographic effects on wind characteristics over hilly terrain, based on wind data recorded at a number of meteorological stations in or near complex terrain. The multiply data sources allow a more detailed investigation of the flow field than is normally possible. Vertical profiles of mean and turbulent wind components from a Sodar profiler were presented and then modeled as functions of height and wind speed. The correlations between longitudinal and vertical wind components were discussed. The phenomena of flow separation and generation of vortices were observed. The distance-dependence of the topographic effects on gust factors was revealed subsequently. Furthermore, the canyon effect was identified and discussed based on the observations of wind at a saddle point between two mountain peaks. This study aims to further understanding of the characteristics of surface wind over rugged terrain. The presented results are expected to be useful for structural design, prevention of pollutant dispersion, and validation of CFD (computational fluid dynamics) models or techniques over complex terrains.

Study on Preconditioning of the clavier-Stokes Equations Using 3-Dimensional Unstructured Meshes (3차원 비정렬격자계를 이용한 Navier-Stokes해의 Preconditioning에 관한 연구)

  • Nam, Young-Sok;Choi, Hyoung-Gwon;Yoo, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1581-1593
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    • 2001
  • An efficient variable-reordering method for finite element meshes is used and the effect of variable-reordering is investigated. For the element renumbering of unstructured meshes, Cuthill-McKee ordering is adopted. The newsy reordered global matrix has a much narrower bandwidth than the original one, making the ILU preconditioner perform bolter. The effect of variable reordering on the convergence behaviour of saddle point type matrix it studied, which results from P2/P1 element discretization of the Navier-Stokes equations. We also propose and test 'level(0) preconditioner'and 'level(2) ILU preconditioner', which are another versions of the existing 'level(1) ILU preconditioner', for the global matrix generated by P2/P1 finite element method of incompressible Navier-Stokes equations. We show that 'level(2) ILU preconditioner'performs much better than the others only with a little extra computations.

Bifurcations in Voltage Stability Analysis (바이퍼케이션 이론을 이용한 전압안정도 해석)

  • Lee, Sang-Ho;Cho, Hong-Shik;Sohn, Kwang-Myoung;Park, Jong-Keun;Lee, Byoung-Ha
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.838-840
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    • 1996
  • Hopf and saddle-node bifurcation have been recognized as some of the reasons for voltage stability problems in a variety of power system models. Local bifurcations are detected by monitoring the eigenvalues of the current operating point. Therefore, many papers have used the methods using the eigenvalues. However, this paper discusses the bifurcations without calculating the eigenvalues as the system parameters vary In the 3 node system. Instead of calculating the eigenvalues, we use directly the coefficients of characteristic equation of Jacobian matrix. Also, the coefficients are used as stability index.

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