• 제목/요약/키워드: equilibrium analysis

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KARI 30톤급 액체로켓엔진 노즐 유동 화학 반응 해석 (Chemical Reacting Flow Analysis of the 30 tonf - class KARl LRE Nozzle)

  • 이대성;강기하;조덕래;최정열;최환석
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2007년도 제29회 추계학술대회논문집
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    • pp.105-109
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    • 2007
  • 로켓 노즐 유동해석에는, 전산 유체 역학 코드와 결합된 동결 유동 해석, 화학 평형 해석, 화학 비평형 해석이 사용되어진다. 고온 로켓 엔진 노즐의 설계에서, 동결 유동 해법과 동일한 수치적 특징을 가지는 화학평형 해석은 노즐의 열역학적 최대 성능을 예측하는 효율적인 설계 도구가 될 수 있다. 본 연구에서는 30톤급 KARI 액체 로켓 엔진 노즐에 대하여 동결유동 해석 및 화학평형 유동 해석을 수행하였다. 유동 해석 결과에 기초한 30톤급 KARI 액체 로켓 엔진 성능 평가는 노즐에서의 열화학적 특성에 대한 이해와 노즐의 성능을 제공할 것이다.

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액체로켓 노즐의 열화학적 성능 해석 (Thermochemical Performance Analysis of Liquid Rocket Nozzle)

  • 최정열;최환석
    • 한국항공우주학회지
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    • 제31권1호
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    • pp.85-96
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    • 2003
  • 로켓 엔진 노즐의 설계에서 동결 유동 해법과 동일한 수치적 특성을 가지는 화학 평형 해석은 노즐의 열역학적 최대 성능을 예측하는 효율적인 설계 도구로 이용될 수 있다. 본 연구에서는 탄화수소 연료 로켓 엔진 설계를 위한 화학적 평형 유동 해석 코드를 개발하였다. 로켓 노즐을 통한 팽창과정에서 일어나는 화학 성분의 재결합 효과와 이에 수반하는 에너지 회복과 같은 열화학적 특징을 이해하기 위하여, KSR-III 로켓 노즐에 대하여 동결유동 해석 및 비평형 유동의 해석과 더불어 화학적 평형 유동 해석을 수행하였다. 유동 해석 결과에 기초한 KSR-III 엔진 성능 평가로부터 노즐에서의 열화학적 특징을 이해할 수 있었으며, 이와 더불어 열화학적인 효과를 고려할 때 출구 면적비를 줄여서 수정된 새로운 노즐 형상이 지상 추력을 증대시키기 위한 적절한 설계임을 확인할 수 있었다.

플라즈마 MHD 평형의 수치해석 (Numerical analysis of plasma MHD equilibrium)

  • 이홍식;황기웅
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
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    • pp.206-209
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    • 1988
  • Fixed boundary MHD static equilibrium for the axisymmetric toroidal plasma is analyzed numerically. The Grad-Shafranov equation is solved using FFM. The toroidal current tenn is expressed by plasma pressure p($\psi$) and toroidal field function g($\psi$). The numerical results are compared to the Solovev analytic equilibrium for the verification of the analysis. For SNUT-79 tokamak device in Seoul National University, flux surfaces and toroidal current profiles according to the variation of p and g profiles are observed. Also the safety factor q and average beta are obtained.

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SETVALUED MIXED QUASI-EQUILIBRIUM PROBLEMS WITH OPERATOR SOLUTIONS

  • Ram, Tirth;Khanna, Anu Kumari;Kour, Ravdeep
    • Nonlinear Functional Analysis and Applications
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    • 제27권1호
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    • pp.83-97
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    • 2022
  • In this paper, we introduce and study generalized mixed operator quasi-equilibrium problems(GMQOEP) in Hausdorff topological vector spaces and prove the existence results for the solution of (GMQOEP) in compact and noncompact settings by employing 1-person game theorems. Moreover, using coercive condition, hemicontinuity of the functions and KKM theorem, we prove new results on the existence of solution for the particular case of (GMQOEP), that is, generalized mixed operator equilibrium problem (GMOEP).

STRONG CONVERGENCE THEOREMS OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES

  • Wang, Ziming;Su, Yongfu
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.783-796
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    • 2010
  • We introduce a new iterative algorithm for equilibrium and fixed point problems of three hemi-relatively nonexpansive mappings by the CQ hybrid method in Banach spaces, Our results improve and extend the corresponding results announced by Xiaolong Qin, Yeol Je Cho, Shin Min Kang [Xiaolong Qin, Yeol Je Cho, Shin Min Kang, Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces, Journal of Computational and Applied Mathematics 225 (2009) 20-30], P. Kumam, K. Wattanawitoon [P. Kumam, K. Wattanawitoon, Convergence theorems of a hybrid algorithm for equilibrium problems, Nonlinear Analysis: Hybrid Systems (2009), doi:10.1016/j.nahs.2009.02.006], W. Takahashi, K. Zembayashi [W. Takahashi, K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008) doi:10.1155/2008/528476] and others therein.

Strategy Equilibrium in Stackelberg Model with Transmission Congestion in Electricity Market

  • Lee, Kwang-Ho
    • Journal of Electrical Engineering and Technology
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    • 제9권1호
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    • pp.90-97
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    • 2014
  • Nash Cournot Equilibrium (NCE) has been widely used in a competitive electricity market to analyze generation firms' strategic production quantities. Congestion on a transmission network may lead to a mixed strategy NCE. Mixed strategy is complicated to understand, difficult to compute, and hard to implement in practical market. However, Stackelberg model based equilibrium does not have any mixed strategy, even under congestion in a transmission line. A guide to understanding mixed strategy equilibrium is given by analyzing a cycling phenomenon in the players' best choices. This paper connects the concept of leader-follower in Stackelberg model with relations between generation firms on both sides of the congested line. From the viewpoint of social welfare, the surplus analysis is presented for comparison between the NCE and the Stackelberg equilibrium (SE).

쏘일네일 보강 연직굴착면의 한계 평형법을 이용한 설계기법 개발 (Development of design method using Limit Equilibrium Method applying to vertical excavation reinforcing by soil-nailing)

  • 이섬범;이인;윤배식;김홍택
    • 건설안전기술
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    • 통권47호
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    • pp.56-62
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    • 2008
  • In order to apply the Limit Equilibrium Method generally used for the slope stability analysis to the vertical excavation walls reinforced by soil-nailing, in this study, the Limit Equilibrium Method for the temporary shoring facilities reinforced by soil-nailing was proposed, which is based on the stability for the horizontal displacement. In this study, the relation of the internal friction angles of the ground and the vertical excavation depths was arranged, which is satisfying the stability on the horizontal displacement by using the verification of the Limit Equilibrium Method. And then, the rational reinforcing length of soil-nailing was proposed for the critical areas. In addition, the modified safety ratio satisfying the stability on the horizontal displacement was proposed, when the Limit Equilibrium Method was applied to the vertical excavation walls reinforced by soil-nailing.

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다층 케이블 돔형 구조물의 자기평형을 위한 부재력 비율 결정 (Determination of Member Force Ratios for Self-equilibrium State of Multi-Layered Cable Dome Type Structures)

  • 김재열
    • 한국공간구조학회논문집
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    • 제13권2호
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    • pp.75-82
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    • 2013
  • For each cable component in a cable dome structure, pre-tension is needed for stability of whole the structure. The summation of these pre-tension at each joint should be zero to achieve the self equilibrium structure. The first step in cable dome structure analysis is to find the ratio of pre-tension in each member which can produce a stable and structure on self-equilibrium. In this paper, a new method based on the basic principle of closed force polygon for equilibrium system is proposed for the determination of self-equilibrium mode of cable dome structure. A single layer cable dome and two multi layer type domes have been analyzed. The ratios of cable members are determined by the presented method, and check the validation of the results by numerical calculation.

Automatic generation of equilibrium and flexibility matrices for plate bending elements using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.
    • Structural Engineering and Mechanics
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    • 제30권4호
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    • pp.387-402
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    • 2008
  • The Integrated Force Method (IFM) has been developed in recent years for the analysis of civil, mechanical and aerospace engineering structures. In this method all independent or internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. The solution by IFM needs the computation of element equilibrium and flexibility matrices from the assumed displacement, stress-resultant fields and material properties. This paper presents a general purpose code for the automatic generation of element equilibrium and flexibility matrices for plate bending elements using the Integrated Force Method. Kirchhoff and the Mindlin-Reissner plate theories have been employed in the code. Paper illustrates development of element equilibrium and flexibility matrices for the Mindlin-Reissner theory based four node quadrilateral plate bending element using the Integrated Force Method.

KARI 30톤급 액체 로켓 엔진 노즐 유동 화학 평형 해석 (Chemical Equilbrium Analysis of the $30\;ton_f$ - class KARI LRE Nozzle Flow)

  • 이대성;강기하;조덕래;최정열;최환석
    • 한국추진공학회지
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    • 제12권3호
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    • pp.9-15
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    • 2008
  • 고고도 추진 기관으로 개발되고 있는 항공우주연구원의 30톤급 액체 로켓 엔진 노즐 성능의 신뢰성 있는 성능 예측을 위하여 화학적 동결 및 평형 유동 해석을 수행하였다. 해석은 이전의 연구에서 개발된 해석 코드를 보완하여 수행하였다. 비평형 해석이 가장 신뢰할 만한 방법이기는 하지만 수렴특성과 불확실성을 고려할 때 연계된 동결 및 평형 해석이 비용측면에서 효율적인 방법임을 확인 할 수 있었다. 이 해석으로부터 노즐 유동의 팽창 과정에서 나타나는 화학적 재결합 효과에 의한 열 및 운동에너지의 회복 및 점성 효과를 고려한 신뢰성 있는 성능 예측을 할 수 있었다.