• Title/Summary/Keyword: Equilibrium problems

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An analytical approach for nonlinear response of elastic cable under complex loads

  • Lu, L.Y.;Chan, S.L.;Lu, Z.H.
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.329-338
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    • 1997
  • In this paper a general analytical approach is proposed to analyse the nonlinear response of elastic cable under complex loads. The effect of temperature change on the cable is also considered. From the vertical equilibrium equations of cable, the general analytical formula of vertical displacement is derived. Based on the vertical displacement formula and on the compatibility condition of the cable, the dimensionless equation with respect to cable tension is established. By means of such analytical procedures, the exact solutions of various cable problems can be obtained quickly. The example given in this paper shows that the new procedure is efficient for practical analysis and can be easily implemented by a general computer program without the superposition problem which there has always been in traditional analytical methods.

A Thin Circular Beam Finite Element for Out-of-plane Vibration Analysis of Curved Beams (곡선 보의 면외 진동해석을 위한 얇은 원형 보 유한요소)

  • Kim, Chang-Boo;Kim, Bo-Yeon;Song, Seung-Gwan
    • Proceedings of the KSR Conference
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    • 2007.05a
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    • pp.1598-1606
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    • 2007
  • In this paper, we present a thin circular beam finite element for the out-of-plane vibration analysis of curved beams. The element stiffness matrix and the element mass matrix are derived respectively from the strain energy and the kinetic energy by using the natural shape functions which are obtained from an integration of the differential equations of the finite element in static equilibrium. The matrices are formulated with respect to the local polar coordinate system or to the global Cartesian coordinate system in consideration of the effects of shear deformation and rotary inertias. Some example problems are analysed. The FEM results are compared with the theoretical ones to show that the presented finite element can describe quite efficiently and accurately the out-of-plane motion of thin curved beams.

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A Study on the Reactor Design of Solid-Solid-Gas Chemical Heat Pump System (고체-고체-기체 화학 열펌프 시스템의 반응기 설계에 관한 연구)

  • Kim, S.J.;Lee, T.H.;Neveu, P.;Choi, H.K.;Lee, J.H.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.6 no.4
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    • pp.406-416
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    • 1994
  • In this study the reactor design procedure and method of solid-solid-gas chemical heat pump system using STELF technology were investigated. For manufacturing IMPEX block which is the kernel of reactor, proper salt pair should be selected, and equilibrium temperature drop and COP should be examined for selected salt pair. Moreover, apparent density, residual porosity, and graphite ratio should be calculated to give minimum block volume and mass, and maximum energy density without causing heat and mass transfer problems. Since heat exchange area can be changed with operating condition, reactor diameter, length, and stainless steel thickness should be decided for desired specifications. These procedure and method were applied to the case study of 6kW cold production and 8 hours storage capacity reactor.

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Policy Impact Analysis of Road Transport Investment via System Dynamics Theory (혼잡해소를 위한 도로건설의 정책효과: 시스템 다이내믹스 이론의 적용)

  • Kwon, Tae-Hyeong
    • Korean System Dynamics Review
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    • v.12 no.1
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    • pp.75-87
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    • 2011
  • Congestion problems can be approached from the viewpoint of system dynamics theory. The relationship between road capacity and congestion can be explained by the 'relative control' archetype among four system archetypes suggested by Wolstenholme. There is a balancing feedback loop between road capacity and road congestion. However, there is another balancing loop between road congestion and car traffic volume, which keeps disrupting the equilibrium of the former loop. A system dynamics model, which is based on a partial adjustment model of induced traffic in the literature, is built to simulate three road building scenarios: 'Expanding investment', 'Balancing investment' and 'Frozen road investment' scenarios. The 'Expanding investment' scenario manages to drop congestion levels by 9% over 30 years, however, causing much higher emissions of $CO_2$ than other scenarios. The trade-off relationship between congestion levels and environmental costs must be taken into consideration for road investment policies.

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Stress Analysis near a Circular Hole in a Flat Plate Attached to a Cyinder -The Key Subject is the Change of the Cylindrical Shell-Length- (圓筒이 붙은 平板의 應力解析)

  • 정인승;이대희;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.770-778
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    • 1986
  • This paper is studied on the Junctiion of the large tank and the cylinderical outlet such as a pressure vessel attached a pipe or nozzle theoretically. It is assumed that the diameter of tank is much larger than that of the nozzle, so it can be approximated that nozzle is attached to plate. The analysis procedure can be viewed as the solution of interdependent subproblems: (a) the stress analysis of the cylinderical shell(nozzle), (b) the plane-stress analysis of the plate membrane problem, and (c) the analysis of the transverse bending deformation in the plate. On the procedure of (a), the Flugge formula are used, and the variables are the length and the ratio of the thickness to the radius of cylinderical shell. The solutions of thess problems are interrelated in the total solution through continuity and equilibrium conditions at the interface of middle planes of the plate and cylinderical shell.

Numerical Simulation on Phase Separation by Using the Lattice-Boltzmann Method (Lattice-Boltzmann Method를 이용한 기체-액체 상분리 시뮬레이션)

  • Jung, Rho-Taek
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.12 no.3
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    • pp.197-201
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    • 2009
  • As one of the promising model on the multiphase fluid mixtures, the Lattice-Boltzmann Method(LBM) is being developed to simulate flows containing two immisible components which are different mass values. The equilibrium function in the LBM can have a nonideal gas model for the equation of state and use the interfacial energy for the phase separation effect. An example on the phase separation has been carried out through the time evolution. The LBM based on the statistic mechanics is appropriate to solve very complicated flow problems and this model gives comparative merits rather than the continuum mechanics model.

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데모그라피의 역사적 배경과 한국인구의 지역적 편향분포의 지니 계수적 해석

  • 구자흥;이성철
    • Journal for History of Mathematics
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    • v.16 no.2
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    • pp.103-116
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    • 2003
  • Now we have faced to two fundamental population problems: The one is over-population problem in proportion to the nation's total area, 99,434 $km^2$, and the other is unbalanced population distributions in the provincial districts of administration (16th local governments). For example, the population density of Seoul city is 16,335 persons, and the nations population density of South Korea is 464 persons for 1 km$^2$. At the first part of this study, we introduced the origins and historical back grounds of Formal Demorgraphy. And the second part, we suggest some useful indicators of urbanization of rural populations in terms of Gini's Coefficients of Concentration. As the result, we can show that the ecological Gini's Coefficients of Concentration, during the periods covered by this study, have been increasing extraordinary: 0.349, 0.433, 0.532, 0.581, 0.633 and 0.626 in 1970, 1980, 1985, 1990, 1995, 2000 A.D. respectively. However, the trend of urbanization (concentration of population) of Korean population has been the relative equilibrium state of 0.63 from 1995 to 2000 A.D.

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The Effect of Neglecting the Longitudinal Moment Terms on the Natural Frequency of Laminated Plates with Increasing Aspect Ratio (보강재 보강 형태에 따른 특별직교 이방성 적층복합판의 고유진동수에 대한 종방향 모멘트 무시효과)

  • 김덕현;김경진;이정호;박정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.109-116
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    • 1998
  • The method of vibration analysis used is the one developed by the senior author. He developed and reported, in 1974, a simple but exact method of calculating the natural frequency of beam and tower structures with irregular cross-sections and attached mass/masses. Since 1989, this method has been extended to two-dimensional problems with several types of given conditions and has been reported at several international conferences. This method uses the deflection influence surfaces. The finite difference method is used for this purpose, in this paper. In order to reduce the pivotal points required, the three simultaneous partial differential equations of equilibrium with three dependent variables, w, M$_{x}$, and $M_{y}$, are used instead of the one forth order partial differential equation. By neglecting the M$_{x}$ terms, the size of the matrices needed to solve the resulting linear equations are reduced to two thirds of the "non-modified" equations.tions.

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A Present Views and Improvement policy of the Certification System in Korea (우리나라 인증제도의 현황과 개선방안)

  • 조남호;우태희;한우철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.211-220
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    • 1999
  • The purpose of this study is the necessity of collaboration, equilibrium or the differences of examination items about certification system which is focused on products, such as KS, formal approval, and ISO 9000 family, QS 9000, etc, for Quality management system. We make expert group control this problem. Also we make examination items to be united. And the differences of certification body and personnel necessary is dissolved by proper instruction. Examination process and corrective maintenance should be improved by clarity, fairness and reliability. Problems through preparation for certification and certified company should be focused on reform of consciousness of top management and continuous instruction. And desirable solution for mutual certification problem and others should be found by information interchange system of international cooperation.

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Non-linear Static Analysis and Determination of Initial Equilibrium States of Space Cable Nets (3차원 케이블망의 정적 비선형 해석 및 초기 평형상태의 결정)

  • 김문영;김남일
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.134-141
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    • 1997
  • A geometrically non-linear finite element formulation of spatial cable networks is presented using three cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element, and the isoparametric cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static non-linear behaviors of cable nets.

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