• 제목/요약/키워드: equilibrium condition

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Development and application of FEM/GEM program for evaluating formability of stamping dies (스탬핑 금형의 성형성 평가를 위한 유한요소/기하학힘평형법 프로그램 개발과 응용)

  • Kim, J.P.;Keum, Y.T.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.3
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    • pp.80-93
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    • 1996
  • A 2-dimensional FEM/GEM program was developed under the plane strain assumption using linear line elements for analyzing stretch/draw forming operations of an arbitrarily shaped draw-die. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. Also, a rigid-viscoplastic material model with Hill's normal anisotropic yield condition and rate-sensitive hardening law is assumed, along with the Coulomb friction law in the contact regions. For the case of numerical divergence at nearly final forming stages, geometric force equilibrium method(GEM) is also introduced. The developed program was tested by simulating the forming processes of cylindrical punch/open die, and the drawing processes of automotive oilpan and hood inner panel in order to verify the usefulness and validity of FEM/GEM formulation. The numerical simulation verified the validity and robustness of developed program.

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Power System Equilibrium Optimization (EOPT) with a Nonlinear Interior Point Method (비선형 내점법을 이용한 전력시스템의 평형점 최적화)

  • Song, Hwa-Chang;Dosano, Rodel D.
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.6
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    • pp.1000-1006
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    • 2007
  • This paper presents a methodology to calculate an optimal solution of equilibrium to differential algebraic equations for power systems. It employs a nonlinear interior point method to solve the optimization formulation which includes dynamic equations representing the two-axis synchronous generator model with AVR and speed governing controls, algebraic equations, and steady-state nonlinear loads. This paper also adopts two algorithms for the improvement of solution convergence. In power system analysis and control, equilibrium optimization (EOPT) is applicable for diverse purposes that need the consideration of dynamic model characteristics at a steady-state condition.

Effect of Bidding Strategies of Hydro Generation on an Electricity Market (수력발전기의 경쟁적 입찰전략이 전력시장에 미치는 영향)

  • Lee Kwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.9
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    • pp.461-466
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    • 2005
  • This paper addresses the bidding strategies of a hydro generator in an electricity market, and their effect on the electricity market in accordance with some parameters: the water volume, the demand elasticity, and the hydro unit performance. The competition of a hydro generator is formulated as a hi-level optimization problem, and the solving scheme for the equilibrium condition is proposed as a set of nonlinear simultaneous equations. The equilibrium of the oligopolistic model is evaluated by comparison with that of a perfect competition model from the viewpoint of a market power. Simulation results show some parameters have an influence on the market power of an electricity market including a hydro generator.

The Effect of Organic Solvent in the Dyeing of Silk Fiber (견섬유의 염색에 있어서 첨가용제의 영향( I ))

  • 황성민;윤남식;임용진;이동수;이인전
    • Textile Coloration and Finishing
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    • v.1 no.1
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    • pp.47-53
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    • 1989
  • The effect of organic solvent in the dyeing of silk fiber by acid dye was investigated. Acetophenone and benzyl alcohol were shown to be the most effective for the rate of dyeing of silk fiber by Milling Cyanine 5R (C.I. Acid Blue 113), a milling type acid dye, but, with benzyl alcohol, the equilibrium dye uptake was much lower than that in the absence of it. In the presence of solvent, maximum dye uptake shifted to lower temperature than 6$0^{\circ}C$, while without solvent, it was shown at about $60^\circ{C}$. When dyed by Orange II (C.I. acid Orange 7) under same condition equilibrium dye uptake of silk fiber was lower than that for milling type acid dye, and in the presence of benzyl alcohol, still much lower uptake resulted. All these fact reveals that organic solvents in the solvent-assisted dyeing of silk fiber broaden micelle spacings too much, resulting in increased rate of dyeing, and decreased equilibrium dye uptake, contrary to wool.

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Market Pioneering Game for Symmetric Players

  • Lim, Jong-In;Oh, Hyung-Sik
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.4
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    • pp.71-80
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    • 1997
  • In this paper, we consider with a market pioneering game among symmetric firms in highly competitive situation. To describe the puzzling situation of timing competition, we construct a dynamic game model and explore the equilibrium solution. As a result, we find a subgame perfect mixed strategy Nash equilibrium conceptually defined by 't$_{0}$ + .elsilon. equilibrium'. Our major finding s include : i) market entry will be occurred in sequential manner even though the condition of each firm is symmetric ii) the optimal timing of market pioneering will be advanced until almost all of the monopolist's profit is dissipated, iii) as the market position of the pioneer is stronger, the timings of the pioneer and the follower are separated, iv) and as the slope of the profit flow is steeper, the entry timing of the two players will be pooled together.

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3-Dimensional Equilibrium Position Searching of HDD/Head System using Multi-Dimensional Newton-Raphson Method (다차원 뉴튼-랩슨 방법을 이용한 하드 디스크/헤드 시스템의 3차원 평형위치 검색)

  • Chang, In-Bae
    • Journal of Industrial Technology
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    • v.15
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    • pp.203-208
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    • 1995
  • This paper suggests the three dimensional steady state searching techniques of hard disk/head system, which has some skew angle with flexure. In order to analyze the steady state behaviors of magnetic head slider, the localized Knudsen number and the localized bearing numbers are sued. For finding the steady state of magnetic head slider under the pre-loaded condition, I proposed multi-dimensional Newton-Raphson method which traces the equilibrium position of magnetic head slider, which has 3-degrees of freedom, using Jacobian matrix. The multi-dimensional Newton-Raphson method is very efficient technique for finding the steady state position of magnetic head slider because it approaches to the equilibrium position with changing three parameters simultaneously.

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Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading-Type Mappings in Hilbert Spaces

  • Sriprad, Wanna;Srisawat, Somnuk
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.83-99
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    • 2019
  • In this paper, we introduce a hybrid subgradient method for finding an element common to both the solution set of a class of pseudomonotone equilibrium problems, and the set of fixed points of a finite family of ${\kappa}$-strictly presudononspreading mappings in a real Hilbert space. We establish some weak and strong convergence theorems of the sequences generated by our iterative method under some suitable conditions. These convergence theorems are investigated without the Lipschitz condition for bifunctions. Our results complement many known recent results in the literature.

Strong Convergence of a Bregman Projection Method for the Solution of Pseudomonotone Equilibrium Problems in Banach Spaces

  • Olawale Kazeem Oyewole;Lateef Olakunle Jolaoso;Kazeem Olalekan Aremu
    • Kyungpook Mathematical Journal
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    • v.64 no.1
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    • pp.69-94
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    • 2024
  • In this paper, we introduce an inertial self-adaptive projection method using Bregman distance techniques for solving pseudomonotone equilibrium problems in reflexive Banach spaces. The algorithm requires only one projection onto the feasible set without any Lipschitz-like condition on the bifunction. Using this method, a strong convergence theorem is proved under some mild conditions. Furthermore, we include numerical experiments to illustrate the behaviour of the new algorithm with respect to the Bregman function and other algorithms in the literature.

Closing Step Analysis in Cable-Stayed Bridges to Produce Initial Equilibrium Condition (초기평형상태 구현을 위한 사장교의 폐합단계 해석)

  • Park, Yong Myung;Yun, Jae Sun;Cho, Hyun Jun;Park, Chung Gon
    • Journal of Korean Society of Steel Construction
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    • v.19 no.2
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    • pp.191-199
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    • 2007
  • This paper presents a closing method for a cable-stayed bridge erected by the free cantilever method to produce the initial equilibrium configuration at the final construction stage. To realize the initial equilibrium condition in cable-stayed bridge by the cantilever method, compatibility conditions for vertical displacements, rotational angles, and axial displacements at the closing section of both side girders should be satisfied. In this paper, it was shown that it can be accomplished by using some applicable loads during construction such as the pull-up force of the derrick crane, some cable tension forces, and jacking force at the pylon. The proposed method was applied to a construction stage analysis of a sample bridge to demonstrate its validity, and it was acknowledged that the tower was considerably affected by the compatibility condition for axial displacement in the closing step.

Dynamic Analysis of Topside Module in Lifting Installation Phase

  • Lee, Jong-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.25 no.4
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    • pp.7-11
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    • 2011
  • The installation phase for a topside module suggested can be divided into 9 stages, which include start, pre-lifting, lifting, lifted, rotating, positioning, lowering, mating, and end of installation. The transfer of the topside module from a transport barge to a crane vessel takes place in the first three stages, from start to lifting, while the transfer of the module onto a floating spar hull occurs in the last three stages, from lowering to the end. The coupled multi-body motions are calculated in both calm water and in irregular waves with significant wave height (1.52m), with suggested force equilibrium diagrams. The effects of the hydrodynamic interactions between the crane vessel and barge during the lifting stage have been considered. The internal forces caused by the load transfer and ballasting are derived for the lifting phases. The results of these internal forces for the calm water condition are compared with those in the irregular sea condition. Although the effect of pitch motion on the relative vertical motion between the deck of the floating structure and the topside module is significant in the lifting phases, the internal force induced pitch motion is too small to show its influence. However, the effect of the internal force on the wave-induced heave responses in the lifting phases is noticeable in the irregular sea condition because the transfer mass-induced draught changes in the floating structure are observed to have higher amplitudes than the external force induced responses.