• 제목/요약/키워드: equilibrium equation

검색결과 838건 처리시간 0.03초

Phase Equilibrium of Binary Mixture for the (propylene oxide + 1-pentanol) System at Several Temperatures

  • Kim, Jeong-lae;Kim, Hakmin;Park, Su In;An, Gyu Min;Kim, Min Gi;Shin, Moon Sam
    • Korean Chemical Engineering Research
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    • 제57권1호
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    • pp.73-77
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    • 2019
  • Isothermal (vapor + liquid) equilibrium data measurements were undertaken for the binary mixtures of (propylene oxide + 1-pentanol) system at three different temperatures (303.15, 318.15, and 333.15) K. The Peng-Robinson-Stryjek-Vera equation of state (PRSV EOS) was used to correlate the experimental data. The van der Waals one-fluid mixing rule was used for the vapor phase and the Wong-Sandler mixing rule, which incorporates the non-random two liquid (NRTL) model, the universal quasi-chemical (UNIQUAC) model and the Wilson model, was used for the liquid phase. The experimental data were in good agreement with the correlation results.

우수한 수렴특성을 갖는 3차원 포아송 방정식의 이산화 방법 (A discretization method of the three-dimensional poisson's equation with excellent convergence characteristics)

  • 김태한;이은구;김철성
    • 전자공학회논문지D
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    • 제34D권8호
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    • pp.15-25
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    • 1997
  • The integration method of carier concentrations to redcue the discretization error of th box integratio method used in the discretization of the three-dimensional poisson's equation is presented. The carrier concentration is approximated in the closed form as an exponential function of the linearly varying potential in the element. The presented method is implemented in the three-dimensional poisson's equation solver running under the windows 95. The accuracy and the convergence chaacteristics of the three-dimensional poisson's equation solver are compared with those of DAVINCI for the PN junction diode and the n-MOSFET under the thermal equilibrium and the DC reverse bias. The potential distributions of the simulatied devices from the three-dimensional poisson's equation solver, compared with those of DAVINCI, has a relative error within 2.8%. The average number of iterations needed to obtain the solution of the PN junction diode and the n-MOSFET using the presented method are 11.47 and 11.16 while the those of DAVINCI are 21.73 and 23.0 respectively.

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특정 상호작용을 갖는 논랜덤 혼합 격자 용액의 깁스 에너지 (Gibbs Energy of Nonrandomly Mixed Lattice Solutions with a Specific Interaction)

  • 정해영
    • 대한화학회지
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    • 제53권6호
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    • pp.663-670
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    • 2009
  • 논랜덤 혼합의 2-성분 격자용액에서 특정상호작용을 갖는 경우의 수에 대한 분포를 난수 모의실험을 통하여 구하였다. 이 분포로부터 2-성분격자용액의 과잉깁스에너지 $G^E$에 대한 근사식을 유도하였다. 이 식을 사용하여 15개의 2-성분용액에 대한 일정압력에서의 액체-증기 상평형 계산을 하였고 Wilson식, Van Laar식, Redlich-Kister식의 계산 결과와 비교하여 보았다.

순수비틀림을 받는 철근콘크리트 보의 거동에 관한 연구 (A Study on the Behavior of Reinforced Concrete Beams under Pure Torsion)

  • 음성우;박병용
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1990년도 가을 학술발표회 논문집
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    • pp.7-12
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    • 1990
  • This paper presents an equation for balanced-steel ratio in longitudinal and transverse direction throughout analysis based on a space truss model introducing the concept of concrete softening effect. This paper also presents as equation for postcracking torisonal stiffness throughout analysis considering the equilibrium conditions and compatibility conditions based on shear panel. Correlation between predicted postcracking torsional stiffness, and experimental results was good, not only for beams tested in this paper but also for others in the literature.

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순수비틀림을 받는 철근콘크리트 보의 균열후 비틀림 강성 (Postcracking Torsional Stiffness of Reinforced Concrete Beams under Pure Torsion)

  • 음성우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1991년도 가을 학술발표회 논문집
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    • pp.51-58
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    • 1991
  • In staically indeterminate structures torsional stiffness is an important factor for prediction of mechanical behavior at all loading stages in reinfored concrete beams, which also for calculation of torsional moment. This paper proposes equation for postcracking torsional stiffness of reinforced concrete beams under pure torsion, which is derived considering the equilibrium and compatibility condition for shear panel based on the variable angle space truss model. The equation describes well the effect according to the variation of aspect ratio and steel volume ratio per unit concrete volume. It agress with experimental results in this paper as well as available literature.

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STABILITY OF BIFURCATING STATIONARY PERIODIC SOLUTIONS OF THE GENERALIZED SWIFT-HOHENBERG EQUATION

  • Soyeun, Jung
    • 대한수학회보
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    • 제60권1호
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    • pp.257-279
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    • 2023
  • Applying the Lyapunov-Schmidt reduction, we consider spectral stability of small amplitude stationary periodic solutions bifurcating from an equilibrium of the generalized Swift-Hohenberg equation. We follow the mathematical framework developed in [15, 16, 19, 23] to construct such periodic solutions and to determine regions in the parameter space for which they are stable by investigating the movement of the spectrum near zero as parameters vary.

부분균형모형을 이용한 전복 수급전망모형 구축에 관한 연구 (A Study of the Abalone Outlook Model Using by Partial Equilibrium Model Approach Based on DEEM System)

  • 한석호;장희수;허수진;이남수
    • 수산경영론집
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    • 제51권2호
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    • pp.51-69
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    • 2020
  • The purpose of this study is to construct an outlook model that is consistent with the "Fisheries Outlook" monthly published by the Fisheries Outlook Center of the Korea Maritime Institute(KMI). In particular, it was designed as a partial equilibrium model limited to abalone items, but a model was constructed with a dynamic ecological equation model(DEEM) system taking into account biological breeding and shipping time. The results of this study are significant in that they can be used as basic data for model development of various items in the future. In this study, due to the limitation of monthly data, the market equilibrium price was calculated by using the recursive model construction method to be calculated directly as an inverse demand. A model was built in the form of a structural equation model that can explain economic causality rather than a conventional time series analysis model. The research results and implications are as follows. As a result of the estimation of the amount of young seashells planting, it was estimated that the coefficient of the amount of young seashells planting from the previous year was estimated to be 0.82 so that there was no significant difference in the amount of young seashells planting this year and last year. It is also meant to be nurtured for a long time after aquaculture license and limited aquaculture area(edge style) and implantation. The economic factor, the coefficient of price from last year was estimated at 0.47. In the case of breeding quantity, it was estimated that the longer the breeding period, the larger the coefficient of breeding quantity in the previous period. It was analyzed that the impact of shipments on the breeding volume increased. In the case of shipments, the coefficient of production price was estimated unelastically. As the period of rearing increased, the estimation coefficient decreased. Such result indicates that the expected price, which is an economic factor variable and that had less influence on the intention to shipments. In addition, the elasticity of the breeding quantity was estimated more unelastically as the breeding period increased. This is also correlated with the relative coefficient size of the expected price. The abalone supply and demand forecast model developed in this study is significant in that it reduces the prediction error than the existing model using the ecological equation modeling system and the economic causal model. However, there are limitations in establishing a system of simultaneous equations that can be linked to production and consumption between industries and items. This is left as a future research project.

MLS 차분법을 활용한 동적 균열전파해석의 Rayleigh 감쇠영향 분석 (A Study of Rayleigh Damping Effect on Dynamic Crack Propagation Analysis using MLS Difference Method)

  • 김경환;이상호;윤영철
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.583-590
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    • 2016
  • 본 논문은 강형식 기반의 MLS 차분법에 Rayleigh 감쇠효과를 적용한 동적균열진전 해석기법을 제시한다. Rayleigh 감쇠 효과가 반영된 동적 평형방정식과 구성방정식을 도출하고, MLS 미분근사식을 이용하여 지배방정식들을 이산화하였다. 평형방정식뿐만 아니라 구성방정식에서도 감쇠효과를 적절하게 고려하여 기존의 무요소 강정식화 기법에서 고려하지 못했던 비례감쇠 알고리즘을 구현하였다. 시간관련 항을 포함한 동적 평형방정식은 중앙차분법(central difference method)을 이용하여 시간적분 하였고, 속도에 대한 차분식을 lagging시켜 이산화 방정식을 간소화시켰다. 균열의 기하학적 특성은 표면력 '0'인 자연경계 조건을 균열면에 놓인 절점들에 부과하여 묘사하였으며, 균열성장으로 인해 해석단계마다 변하는 절점의 생성 및 이동 효과를 계방정식 구성에 반영하였다. 단일균열과 다중균열을 갖는 수치예제를 통해서 제안된 수치기법의 정확성을 검증하였으며, 비례감쇠 효과의 고려가 동적균열진전 해석결과에 미치는 영향을 보였다.

A dual approach to perform geometrically nonlinear analysis of plane truss structures

  • Habibi, AliReza;Bidmeshki, Shaahin
    • Steel and Composite Structures
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    • 제27권1호
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    • pp.13-25
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    • 2018
  • The main objective of this study is to develop a dual approach for geometrically nonlinear finite element analysis of plane truss structures. The geometric nonlinearity is considered using the Total Lagrangian formulation. The nonlinear solution is obtained by introducing and minimizing an objective function subjected to displacement-type constraints. The proposed method can fully trace the whole equilibrium path of geometrically nonlinear plane truss structures not only before the limit point but also after it. No stiffness matrix is used in the main approach and the solution is acquired only based on the direct classical stress-strain formulations. As a result, produced errors caused by linearization and approximation of the main equilibrium equation will be eliminated. The suggested algorithm can predict both pre- and post-buckling behavior of the steel plane truss structures as well as any arbitrary point of equilibrium path. In addition, an equilibrium path with multiple limit points and snap-back phenomenon can be followed in this approach. To demonstrate the accuracy, efficiency and robustness of the proposed procedure, numerical results of the suggested approach are compared with theoretical solution, modified arc-length method, and those of reported in the literature.

TSK퍼지 시스템의 안정도 해석 (Stability Analysis of TSK Fuzzy Systems)

  • 강근택;이원창
    • 한국지능시스템학회논문지
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    • 제8권4호
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    • pp.53-61
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    • 1998
  • 본 논문에서는 넓은 범위의 비선형 시스템들을 잘 표현할 수 있는 TSK(Takagai Sugeno Kang) 퍼지 시스템의 평형점의 지역 안정도를 해석하는 방법을 제시한다. TSK퍼지 모델은 TSK퍼지 규칙들로 구성되며, 각 규칙의 결론부는 상수항을 갖는 선형 입출력 방정식이다. TSK퍼지모델은 다수의평형점을 가질수 있으며, 각 평형점은 안정도에 있어서 역시 서로 단른 특징을 가질수 있다. 평형점의 지역 안정도는 평형점 부근에서 TSK퍼지 모델의 선형화로 얻어지는 자코비안 행렬의 교유치에 의해 결정된다. 본 논문에서는 연속시간 및 이산시간 시스템에 대한 안정도 해석을 위한 방법이 각각 제시된다.

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