• Title/Summary/Keyword: initial equilibrium state

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Initial Equilibrium State Analysis of Cable Stayed Bridges Considering Axial Deformation (축방향 변형을 고려한 사장교의 초기평형상태 해석)

  • Kim, Je Choon;Chang, Sung Pil
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.539-547
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    • 2002
  • The study proposed the initial equilibrium state analysis method that considers axial deformation, in order to accurately determine the initial shape of a cable-stayed bridge. Sepecifically, the proposed method adopted the successive iteration method. In order to evaluate appropriate initial cable force introduced in the initial equilibrium state analysis, parametric studies were performed and a useful linear analysis method proposed. The geometrically nonlinear static behaviors of cable-stayed bridges were considered, using three-dimensional frame element and elastic catenary cable element. The usefulness and applicability of the analytic method proposed in this study were demonstrated using numerical examples, including a real cable-stayed bridge. The algorithm, is applicable in cases wherein axial deformation is not adopted in the fabrication camber, or final cable force is adjusted to eliminate construction and fabrication errors occurring during construction.

An Asymptotic Analysis on the Inviscid Plane Stagnation-flow Solidification Problem (비점성 평면 정체 유동 응고 문제에 대한 점근적 해석)

  • Yoo, Joo-Sik;Eom, Yong-Kyoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.6
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    • pp.792-801
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    • 2000
  • The problem of phase change from liquid to solid in the inviscid plane-stagnation flow is theoretically investigated. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The transient solution is dependent on the three dimensionless parameters, but the equilibrium state is determined by one parameter of (temperature ratio/conductivity ratio). The effect of the fluid flow on the growth rate of the solid in the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state. The characteristics of the transient heat transfer at the surface of the solid and the liquid side of the solid-liquid interface for all the dimensionless parameters are elucidated.

A theoretical analysis on the inviscid stagnation-flow solidification problem (비점성 정체 유동 응고 문제에 대한 이론적 해석)

  • 유주식
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.12 no.1
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    • pp.1-11
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    • 2000
  • This study investigates the problem of phase change from liquid to solid in the inviscid stagnation flow. The solution of dimensionless governing equations is determined by the three dimensionless parameters of (temperature ratio/conductivity ratio), Stefan number, and diffusi-vity ratio. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The equilibrium state is dependent on (temperature ratio/conductivity ratio), but is independent of Stefan number and diffusivity ratio. The effect of fluid flow on the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state, and the characteristics of the solidification process for all the dimensionless parameters are elucidated.

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Design of an Augmented State Feedback Controller for a Wheeled Inverted Pendulum Returning to the Origin (원점 복귀 가능한 차륜형 역진자 제어를 위한 확장 상태피드백 제어기 설계)

  • Lee, Se-Han
    • The Journal of Korea Robotics Society
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    • v.6 no.4
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    • pp.317-322
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    • 2011
  • An augmented state feedback controller for a Wheeled Inverted Pendulum (WIP) is proposed in this research. The augmented state feedback controller is able to keep the WIP returning to the origin. Generally, the WIP has both stable and unstable equilibrium points. To keep the WIP over the unstable equilibrium point, the WIP consistently is being controlled. A simple state feedback controller is letting the WIP out of the origin when the center of gravity of the WIP locates out of the schematic center line. In some case of applications, it may not be desirable that the WIP is drifting out of the initial location. The proposed augmented state feedback controller is able to keep the WIP at the initial location whether its center of gravity lies out of the center line or not. Numerical simulations are carried out to show the validation of the augmented sated feedback controller.

Initial Equilibrium State Analysis of Cable Members for Preliminary Analysis of Multi-span Suspension Bridge under Dead Load (고정하중을 받는 다경간 현수교의 예비해석을 위한 케이블 부재의 초기평형상태 해석)

  • Choi, Dong-Ho;Na, Ho-Sung;Gwon, Sun-Gil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.36 no.1
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    • pp.21-29
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    • 2016
  • This paper proposes a method to determine the initial equilibrium state of cable members for preliminary analysis of multi-span suspension bridge under dead load. The proposed method is simpler and more practical than the previous methods used in other studies. The proposed method can be applied to three-span or multi-span suspension bridges. To verify the proposed method, an three-span model as well as four-span models such as New Millenium Bridge in Korea and Yingwuzhou Bridge in China are analyzed. In the verification results, the initial coordinates and tensions of the members calculated by the proposed method are good agreement with those in the previous study for the three-span model and those in the design data of New Millenium Bridge. In addition, the proposed method gives the initial values to keep the initial configuration of Yingwuzhou Bridge.

A Study on Vibrational Characteristics of Piping Systems in Petrochemical Plants Considering the Fluid Velocity and Pressure (유체의 속도와 압력을 고려한 석유화학 플랜트 배관계의 진동특성에 대한 연구)

  • Kim, Kyoung-Hoon;Kim, Jeong-Hoon;Choi, Myung-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1053-1060
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    • 2006
  • This paper consider an initially deformed state caused by the pressurized fluid flowing through the pipe at a constant velocity. When the initial forte is neglected in curved pipes, the natural frequencies are reduced as flow velocity increases. However, when the initial tension took into account, the natural frequencies are not changed with the change of the flow velocity. As the internal pipe pressure is increased the natural frequencies are also slightly increased. In free vibrational simulation of piping systems in petrochemical plants, it is necessary to calculate the initial state force due to the velocity and the pressure of the fluid flow from the equilibrium first, then the force should be included in the equation of motion of the systems to get more accurate natural frequencies. In this study, calculate the mass matrix and stiffness matrix of piping system by MATLAB

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Xenon Initialization for Reactor Core Transient Simulation

  • Kim, Yong-Rae;Song, Jae-Seung;Lee, Chang-Kue;Lee, Chung-Chan;Zee, Sung-Quun
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.88-93
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    • 1996
  • The initial condition should be consistent with real reactor core state for the simulation of the core transient. The initial xenon distribution, which cad not be measured in the core, has a significant effect on the transient with xenon dynamics of PWR. In the simulation of the transient stating from non-equilibrium xenon state, the accurate initialization of the non-equilibrium xenon distribution is essential to predict the core transient behavior. In this study, the xenon initialization method to predict the core transient more accurately was developed through the first-order perturbation theory of the relationship between simulated power and measured power distribution and verified by the application of the simulation for a startup test of Yonggwang Unit 3.

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The Influence of the Structural Parameters on the Shape Errors of CRTS Reflector (CRTS 반사판의 구조적 인자가 형상오차에 미치는 영향)

  • 송원근;김승덕
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.1
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    • pp.87-94
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    • 2003
  • A geometric non-linear finite element formulation of CRTS reflector subjected to displacement loads, corresponding to the successional assembly steps of the reflector, is presented in order to determine the initial static equilibrium state based on the displacement incremental method. Parametric analyses of the influence of cables and mechanical properties of the reflector on the shape error between reference and equilibrium surfaces have been studied. These results of the present study are compared with the others using Galerkin mothod and NASS 98 program to demonstrate the feasibility.

Thermodynamics of Reactive Dyes with Different Functional Groups (작용기의 종류에 따른 반응염색의 열역학)

  • 도성국
    • Textile Coloration and Finishing
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    • v.10 no.3
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    • pp.36-42
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    • 1998
  • The dyeabilities of C.I. Reactive Blue 19(B19, MW ; 626), C.I. Reactive Blue 4(B4, MW ; 637) and C.I. Reactive Black 5(B5, MW : 991) were investigated. Initial dyeing rates were increased and the amount of dye on the fabric at equilibrium was decreased with temperature like other ordinary dyeing processes. Activation entropy$(\Delta{S}^*)$ was decreased because of loose bonding between dyestuffes and fiber molecules at transition state. It can be clarified that the entire reaction is exothermic and the number of molecular species at transition state becomes greater from decrease in activation enthalpy$(\Delta{H}^*)$ and the increase in activation free energy$(\Delta{G}^*)$ with temperature, respectively. The amount of B19 on the fabric at equilibrium was greater than that of B4, because B4 became unreactive towards textile substrates through hydrolysis. Due to the biggest size of the dye molecule, the reaction rate of B5 was the slowest but its difunctional group played an important role in achieving the greatest amount of dye on the fabric at equilibrium.

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Determination of an Optimum Initial Cable Tension Force for Cable-Stayed Bridges using the Least Square Method (최소자승법을 이용한 사장교의 적정 케이블 장력 결정)

  • Park, Yong Myung;Cho, Hyun Jun
    • Journal of Korean Society of Steel Construction
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    • v.17 no.6 s.79
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    • pp.727-736
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    • 2005
  • This study presents a method of determining the optimum cable tension forces for the proper initial equilibrium state of a cable-stayed bridge using the least square method. The proposed method minimizes the errors, i.e., the differences, such as the deflection and the moments of the girder and the tower, between the target values from a continuous beam by considering the cable anchor point as supports of the girder and the responses obtained from the analysis of the entire cable-stayed bridge system. Especially, the proposed method can selectively control the adjustment of the tower moment, the girder moment, and the deflections by introducing the weighing matrix. Through numerical analysis and comparisons with existing studies, the usefulness and validity of the proposed method was verified.