• Title/Summary/Keyword: 비선형 균형 방정식

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A Solution Algorithm for Elastic Demand Traffic Assignment Model Based on Dynamic Process (동적과정을 이용한 가변수요 통행배정모형의 알고리듬 개발)

  • Im, Yong-Taek;Kim, Hyeon-Myeong
    • Journal of Korean Society of Transportation
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    • v.24 no.2 s.88
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    • pp.169-178
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    • 2006
  • Traffic assignment has been used both for predicting travel demands and for evaluating the tools for alleviating congestion on road network in advance. Some assignment models have been proposed such as equivalent mathematical minimization method, variational inequality problem, nonlinear complementary problem and fixed point method, in following the principle of Wardrop (1952) that no driver can not Improve his travel cost by unilaterally changing his route. Recently Jin(2005a) presented a traffic assignment model based on dynamic process. This paper proposes a solution algorithm for the model of Jin and assesses the performances. Compared to the Frank-Wolfe method, which has been wildly used for solving the existing assignment models, the proposed algorithm is expected to be more efficient because it does not need to evaluate the objective function. Two numerical examples are used for assessing the algorithm, and they show that the algorithm converges to user equilibrium of Wardrop.

Theoretical Formulation of Porous Medium Behavior Depending on Degree of Saturation (포화도에 따른 다공질 매체 거동의 이론적 정식화)

  • Park, Tae Hyo;Jung, So Chan;Kim, Won Cheul
    • Journal of the Korean GEO-environmental Society
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    • v.2 no.3
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    • pp.81-88
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    • 2001
  • The behavior of porous medium is modeled by linear thermoporoelastic behavior, linear poroviscoelastic behavior, poroplastic behavior, and poroviscoplastic behavior, etc. The behavior has, in general, a complicated aspect which makes a mechanical description of the problem with time. Constitutive modeling for deformation behavior of porous medium with coupling effects is needed since there is interaction between the constituents in pores with a relative velocity to each other. In this work, it is explained 3-dimensional behavior depending on degree of saturation for porous medium composed of homogeneous, isotropic materials. It is obtained the governing equations based on continuum porous mechanics. In addition, it is developed constitutive model which can be understood of behavior for porous medium which can be understood, analysed behavior of porous medium. It can be accomplished exact analysis and prediction of behavior in porous medium. The behavior for porous medium is analysed exactly, and the prediction of deformation behavior is accomplished. Consequently, it will be basis to analyze 3-dimensional behavior in municipal solid waste landfill, and the practical using of porous medium ground which are composed of nonhomogeneous, anisotropic materials can be done widely.

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Equivalent Viscous Damping Ratio of a Friction Damper Installed in a SDOF Building (단자유도 건물에 설치된 마찰감쇠기의 등가점성감쇠비)

  • Seong, Ji-Young;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.199-208
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    • 2010
  • A friction damper installed at a building shows nonlinear behavior since its stick and slip states are occurred repeatedly depending on the amplitude of external loadings to dissipate input energy. Friction damping is existed for the building with a friction damper. In additionally viscous one is inherently included. Therefore, the building installed in such combined damping is quite involved to find the analytical solution. In this study, first, displacement and acceleration characteristics are identified based on the exact solution for a single-degree-freedom building with a friction damper having both friction and viscous damping. Second, in free vibration, the equivalent viscous damping ratio is obtained by the energy dissipation. Third, numerical analysis is carried out to find response configuration with various friction force ratios. Fourth, corresponding equivalent viscous damping ratio is derived with the finding that the response reaches into steady-state for both friction and viscous damped structure. It is deduced using balance of input external energy and output dissipation energy for steady-state response. Finally, the equivalent viscous damping ratios of free or harmonic vibration are verified through nonlinear analysis.

A Study for an Efficient Utilization of the Linear Model (선형모형의 효율적 활용성에 관한 연구)

  • Kim Tae-Ho;Cho Eun Jung;Kim Mi Yun
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.147-158
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    • 2005
  • Most of the statistical models that real data can be applicable are static in nature, and thus it is not possible to analyze the effect of variations in the real world over time. Usual specification of the models does not produce the length and the time path of the effect even if the effect of an exogenous variation continues for periods of time. In this study, deriving the dynamic inherence from the static structure of the linear model for better utilization, we attempt to apply actual data to compare and analyze the long-run effect of variations in the market variables between the related markets by formulating a simultaneous equation system. Accordingly, it is proved to be possible to obtain efficient analytical results and to derive various useful implications.

On numerical analysis for tsunami run-up on slope beach (경사 해빈에서 지진해일 처오름에 관한 수치적 고찰)

  • Lee, Woo-Dong;Kim, Taeyoon;Hwang, Taegeon;Ko, Chanhyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.83-83
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    • 2022
  • 여러 분야의 연구자들이 지진해일의 위험에 대한 경각심을 가지고, 지진해일의 발생, 전파 그리고 수리현상을 해석하기 위해 많은 노력을 기울이고 있다. 해안지역에서 직접적인 피해를 입히는 지진해일의 충격파, 처오름, 월파, 침수 등에 관한 연구에 유사한 파형 특성을 가진 고립파를 많이 사용한다. 고립파는 비선형성과 분산이 균형을 이루는 가정에서 Korteweg-de Vries(KdV) 방정식을 만족하는 안정적인 이론파이다. 고립파의 파형분포는 수심에 의해 결정되고, 일정 수심 이상에서는 지진해일을 대신해 사용할 수 있다. 그러나 수심이 낮은 천해에서는 주기와 파장이 비현실적으로 짧아짐으로 지진해일을 대신하기에는 무리가 있다. 본 연구에서는 지진해일의 처오름 특성을 분석하기 위한 1:20 불투과성 경사면이 포함된 수치파동수조를 구성한다. 먼저, 일본 NOWPHAS(Nationwide Ocean Wave information network for Ports and HArbourS)의 관측자료를 이용하여 2011 동일본 지진해일과 고립파의 파형분포를 비교한다. 그리고 다양한 파형의 지진해일 생성할 수 있게 개발된 조파방법을 수치파동수조에 도입하여 수치해석을 수행한다. 수치해석결과, 지진해일의 처오름 높이가 고립파에 비해 최대 1.8배, 최소 1.13배, 평균 1.56배 증가한다.

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One-dimensional Hydraulic Modeling of Open Channel Flow Using the Riemann Approximate Solver I : Model Development (Riemann 해법을 이용한 1차원 개수로 수리해석Ⅰ: 모형 개발)

  • Kim, Ji-Sung;Han, Kun-Yeun
    • Journal of Korea Water Resources Association
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    • v.41 no.8
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    • pp.761-772
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    • 2008
  • The object of this study is to develop the model that solves the numerically difficult problems in hydraulic engineering and to demonstrate the applicability of this model by means of various test examples, such as, verification in the gradually varied unsteady condition, three steady flow problems with the change of bottom slope with exact solution, and frictional bed with analytical solution. The governing equation of this model is the integral form of the Saint-Venant equation satisfying the conservation laws, and finite volume method with the Riemann solver is used. The evaluation of the mass and momentum flux with the HLL Riemann approximate solver is executed. MUSCL-Hancock scheme is used to achieve the second order accuracy in space and time. This study introduce the new and simple technique to discretize the source terms of gravity and hydrostatic pressure force due to longitudinal width variation for the balance of quantity between nonlinear flux and source terms. The results show that the developed model's implementation is accurate, robust and highly stable in various flow conditions with source terms, and this model is reliable for one-dimensional applications in hydraulic engineering.