• 제목/요약/키워드: nodal equation

검색결과 92건 처리시간 0.021초

반복하중을 받는 철근콘크리트 기둥의 비선형 거동 (Nonlinear Behavior of RC Columns Subjected to Cyclic Loadings)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.475-482
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment4curvature models and the layered section approach, the proposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching effect caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial lone. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. Finally, correlation studies between analytical result and experimental studies are conducted to establish the validity of the proposed model.

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모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석 (Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship.)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.190-197
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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동적감쇠를 고려한 탄성 현수선 케이블의 비선형 해석에 관한 연구 (A study on the non-linear analysis of the elastic catenary cable considering kinetic damping)

  • 한상을;정명채;이진섭
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.331-338
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    • 2000
  • In this paper, a non-linear finite element formulation for the spatial cable-net structures is simulated and using this formulation, the characteristics of structural behaviors for the elastic catenary cable are examined In the simulating procedure for the elastic catenary cable, nodal forces and tangential stiffness matrices are derived using catenary parameters of the exact solutions by a governing differential equation of catenary cable, cable self-weights and unstressed cable length. Dynamic Relaxation Method that considers kinetic damping is used for the structure analysis and Newton Raphson Method is used to verify the accuracy of solutions. In the analysis of two dimensional cable, the results obtain from the elastic catenary elements are shown more accurate than does of truss elements and in the case of spatial cable-net structures, Dynamic Relaxation Method is more stable to be converged than Newton Raphson Method.

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반복하중을 받는 RC기둥의 비선형 해석을 위한 모멘트-곡률 관계의 개발 (Nonlinear Analysis of RC Columns under Cyclic Loading Based on Moment-Curvature Relationship)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.3-11
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the unposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching enact caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial force. The advantages of the proposed model, comparing tn layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures.. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed mood.

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EFFICIENT COMPUTATION OF THE ACCELERATION OF THE CONTACT POINT BETWEEN ROTATING SURFACES AND APPLICATION TO CAM-FOLLOWER MECHANISM

  • LEE K.
    • International Journal of Automotive Technology
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    • 제7권1호
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    • pp.115-120
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    • 2006
  • On a rotating contact surface of arbitrary shape, the relative velocity of the contact point sliding between the surfaces is computed with the basic geometries of the rotating surfaces, and the acceleration of the contact point between the contact surfaces is computed by using the relative velocity of the contact point. Thus the equation for the acceleration constraint between the contact surfaces in muitibody dynamics is not coupled with the parameters such as the relative velocity of the contact point. In case of the kinematic analysis, the acceleration of the contact point on any specific instant may also be efficiently computed by the present technique because the whole displacement of a full cycle need not be interpolated. Employing a cam-follower mechanism as a verification model, the acceleration of the contact point computed by the present technique is compared with that computed by differentiating the displacement interpolated with a large number of nodal points.

Sensitivity study of parameters important to Molten Salt Reactor Safety

  • Sarah Elizabeth Creasman;Visura Pathirana;Ondrej Chvala
    • Nuclear Engineering and Technology
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    • 제55권5호
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    • pp.1687-1707
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    • 2023
  • This paper presents a molten salt reactor (MSR) design parameter sensitivity study using a nodal dynamic modelling methodology with explicitly modified point kinetics equation and Mann's model for heat transfer. Six parameters that can impact MSR safety are evaluated. A MATLAB-Simulink model inspired by Thorcon's 550MWth MSR is used for parameter evaluations. A safety envelope was formed to encapsulate power, maximum and minimum temperature, and temperature-induced reactivity feedback. The parameters are perturbed by ±30%. The parameters were then ranked by their subsequent impact on the considered safety envelope, which ranks acceptable parameter uncertainty. The model is openly available on GitHub.

유한요소법의 정도수렴 (The Convergence of Accuracy Ratio in Finite Element Method)

  • 조순보
    • 한국공간구조학회논문집
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    • 제3권2호
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    • pp.85-90
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    • 2003
  • If we use a third order approximation for the displacement function of beam element in finite element methods, finite element solutions of beams yield nodal displacement values matching to beam theory results to have no connection with the number increasing of elements of beams. It is assumed that, as the member displacement value at beam nodes are correct, the calculation procedure of beam element stiffness matrix have no numerical errors. A the member forces are calculated by the equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$, the member forces at nodes of beams have errors in a moment and a shear magnitudes in the case of smaller number of element. The nodal displacement value of plate subject to the lateral load converge to the exact values according to the increase of the number of the element. So it is assumed that the procedures of plate element stiffness matrix calculations has a error in the fundamental assumptions. The beam methods for the high accuracy ratio solution Is also applied to the plate analysis. The method of reducing a error ratio of member forces and element stiffness matrix in the finite element methods is studied. Results of study were as follows. 1. The matrixes of EI[B] and [K] in the equations of M(x)=EI[B]{q} and M(x) = [K]{q}+{Q} of beams are same. 2. The equations of $\frac{-M}{EI}=\frac{{d^2}{\omega}}{dx^2}\;and\;\frac{dM}{dx}=V$ for the member forces have a error ratio in a finite element method of uniformly loaded structures, so equilibrium node loads {Q} must be substituted in the equation of member forces as the numerical examples of this paper revealed.

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탄성 지지된 판구조 해석을 위한 매크로 요소의 개발 (Development of Macro-Element for the Analysis of Elastically Supported Plates)

  • 강영종;박남회;앙기재;최진유
    • 한국전산구조공학회논문집
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    • 제13권1호
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    • pp.25-35
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    • 2000
  • 일반적으로 보에 의해서 탄성 지지된 등방성 판은 슬래브교(Slab Bridge)나 거더교(Slab on Girder Bridge)와 같은 교량의 상부구조를 형성하게 된다. 그러나 이러한 탄성 지지된 등방성 판에 대한 해석은 주로 고정 지지된 경계 조건만을 이용하여 이루어 졌으며, 근래에 제시된 해석방법에서도 판 경계의 처짐 형상을 가정하거나 하중 위치를 고정한 상태에서 정해를 유도하므로 탄성지점인 보와 판의 상호관계를 정확하게 묘사하지 못하고 있다. 또한 유한 요소법을 이용한 해석은 정확한 결과를 얻을 수 있는 반면, 많은 해석시간을 요하는 문제점을 안고 있다. 따라서,. 본 연구에서는 조화해석법을 적용하여 보와 등방성 판의 매크로 요소(Macro Element)의 변위 함수를 구성하고, 이를 판의 탄성 지점에서의 평형방정식을 이용해 계산함으로써 단시간 내에 전체 시스템의 응답을 결정할 수 있는 해석법을 개발하고 이를 프로그램화하였다. 또한, 본 해석법의 타당성을 검증하기 위해서 다양한 하중 조건과 판의 형상비, 탄성 지점 조건 등을 가진 교량 바닥판에 대한 해석을 수행하였으며, 해석법의 단순성 과 해석시간의 단축으로 교량 바닥판과 거더에 대한 매개변수 분석 등에 사용될 수 있을 것이다.

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수륙 경계지역에서 얻어진 육상 노달 에어건 탄성파탐사 자료의 고찰 및 자료처리 (Investigation and Processing of Seismic Reflection Data Collected from a Water-Land Area Using a Land Nodal Airgun System)

  • 이동훈;장성형;강년건;김현도;김관수;김지수
    • 지질공학
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    • 제31권4호
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    • pp.603-620
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    • 2021
  • 수진기들을 서로 케이블로 연결하지 않고 독립적으로 운용하는 육상-노달 탄성파 기술을 수륙 경계지역에 대한 탄성파 반사법자료를 얻기 위해 사용하였다. 이 기술은 수진기 설치와 수거가 간편하기 때문에 지형조건 영향을 적게 받으면서 양호한 자료를 얻을 수 있다는 점에서 매우 경제적이다. 경상북도 포항시 형산강 하구를 테스트 지역으로 한 이 연구에서는 송수신 측선을 약 120 m 간격으로 서로 평행하도록 전개하여 음원은 강에서 에어건을 사용하고 무선 수신은 하상에 설치한 노달 시스템을 사용하였다. 수집된 반사파 자료들은 낮은 신호대잡음(S/N)과 불연속적인 이벤트를 보이며, 특히 직접파, 가이드파, 음파, Scholte 표면파를 포함한 대부분의 이벤트들이 현장 자료에서 쌍곡선 형태로 나타는데 이러한 특징은 송수신이 같은 측선에서 이루어지는 일반적인 탐사에서의 직선 형태와 크게 대비된다. 주된 자료처리는 저주파 고진폭 잡음에 가려진 미약한 신호를 향상시키기 위한 띠통과 필터링, 공기파를 완화시키기 위한 주파수-파수 필터링, 송수신기 사이의 전파시간을 보정하기 위한 시간지연 보정을 수행하여 궁극적으로 가이드파와 공기파에 가려진 천부의 반사파를 표출하는데 목적을 두었다. 송신기와 수신기 사이의 횡단-오프셋 거리에 따른 시간지연 보정을 위한 주시방정식과 곡선을 이 연구에서 새로이 제시하였다. 시간지연 보정 효과는 최소 횡단-오프셋 자료에서 보정 후 약 200 ms 상향 이동하는 잘 정렬된 수평층으로 잘 관찰된다, 직접파/공기파를 기준으로 한 시간지연 보정은 서로 평행한 송수신 측선에서 얻어지는 자료처리에 필수적인 것으로 나타났다. 이 연구에서 개발되고 적용된 육상 노달-수상 에어건 시스템 자료의 수집과 처리 기법은 차후 천부가스, 단층대, 연안지역 및 도심지의 엔지니어링 설계를 위해 육해상 경계 지역에서 얻어지는 고분해능 자료에 효과적으로 쉽게 적용될 것으로 기대된다.

초기균열을 가진 판의 최종파괴 강도해석 (Ultimate Fracture Strength Analysis of Initially Cracked Plate)

  • 백점기;서흥원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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    • pp.133-138
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    • 1991
  • The aim of the present paper is to develop a computer program predicting ultimate fracture strength of initially cracked structure under monotonically increasing external loads. For this purpose, two kinds of 3-D isoparametric solid elements, one 6-node wedge element and another 8-node brick element are formulated along the small deformation theory. Plasticity in the element is checked using von Mises' yield criterion. Elasto-plastic stiffness matrix of the element is calculated taking account of strain hardening effect. If the principal strain at crack tip which is one nodal point exceeds the critical strain dependin on the material property, crack tip is supposed to be opened and the crack tip node which was previously constrained in the direction perpendicular to the crack line is released. After that, the crack lay be propagated to the adjacent node. Once a crack tip node is fractured, the energy of the newly fractured node should be released which is to be absorbed by the remaining part. The accumulated reaction force which was carried by the newly fractured node so far is then applied in the opposite direction. During the action of crack tip relief force, since unloading may be occured in the plastic element, unloading check should be made. If a plastic element unloads, elastic stress-strain equation is used in the calculation of the stiffness matrix of the element, while for a loading element, elasto-plastic stress-strain equation is continuously used. Verification of the computer program is made comparing with the experimental results for center cracked panel subjected to uniform tensile load. Also some factors affecting ultimate fracture strength of initially cracked plate are investigated. It is concluded that the computer program developed here gives an accurate solution and becomes useful tool for predicting ultimate fracture load of initially cracked structural system under monotonically increasing external loads.

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