• 제목/요약/키워드: Dynamic Relaxation Method

검색결과 81건 처리시간 0.028초

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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Inverse analysis of erection process for prismatic tensegrity structures with redundant cables

  • Pei Zhang;Huiting Xiong;Jingjing Yang;Jiayan Liu
    • Steel and Composite Structures
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    • 제49권2호
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    • pp.125-141
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    • 2023
  • Firstly, a new kind of prismatic tensegrity structures with redundant cables is defined, the topology, geometry and forming conditions of which are introduced further. The development of its mechanical properties including self-stress states and structural stiffness with the increment of the twist angle is also investigated carefully. Combined with the topology of this kind of structures, a reasonable erection scheme is proposed, in which some temporary lifting points need to be set and two groups of vertical cables are tensioned in batches. Then, a simplified dynamic relaxation method is employed to track the erection process inversely, which aims to predict each intermediate equilibrium state during the construction, and give the key structural parameters that can effectively guide the construction. The removal of the active cables, the relaxation or tension of the passive cables are simulated by controlling their axial stiffness, so that the structural composition as well as the serial numbers of the elements always keep invariant regardless of the withdrawal of the slack cables. The whole analysis process is clear in concept, simple to implement and easy to popularize. Finally, several examples are given to verify the practicability and effectiveness of the proposed method further.

Ultimate load capacity of unit Strarch frames using an explicit numerical method

  • Lee, Kyoungsoo;Hong, Jung-Wuk;Han, Sang-Eul
    • Steel and Composite Structures
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    • 제13권6호
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    • pp.539-560
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    • 2012
  • This study uses an explicit numerical algorithm to evaluate the ultimate load capacity analysis of a unit Strarch frame, accounting for the initial imperfection effects of the stress-erection process. Displacement-based filament beam element and an explicit dynamic relaxation method with kinetic damping are used to achieve the analysis. The section is composed of the finite number of filaments that can be conveniently modeled by various material models. Ramberg-Osgood and bilinear kinematic elastic plastic material models are formulated to analyze the nonlinear material behaviors of filaments. The numerical results obtained in the present study are compared with the results of experiment for stress-erection and buckling of unit Strarch frames.

케이블 돔의 안정화 이행과정해석 및 적용 (An Analysis of Stabilizing Process of Cable Dome and Its Application)

  • 황보석;유용주;한상을
    • 한국공간구조학회논문집
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    • 제6권2호
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    • pp.69-76
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    • 2006
  • 케이블 돔은 초기에 불안정한 상태에서 각각의 케이블에 장력을 도입하면서 점차적으로 안정화되는 구조이다. 이러한 과정은 케이블에 압축력이 발생하게 되며, 일반적인 구조해석으로는 그 해를 찾을 수 없으므로 이 논문에서는 동적이완법을 사용한다. 또한, 안정화 이행과정해석을 실제적인 문제에 적용하는 방법으로 서울올림픽 체조경기장 케이블 돔 지붕에 적용함으로써 해석결과와 실측결과를 비교하고 안정화 이행과정해석의 적절함을 검증한다.

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A Theoretical Representation of Relaxation Processes in Complex Spin System Using Liouville Space Method

  • Kyunglae Park
    • Bulletin of the Korean Chemical Society
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    • 제14권1호
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    • pp.21-29
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    • 1993
  • For the study of relaxation processes in complex spin system, a general master equation, which can be used to simulate a vast range of pulse experiments, has been formulated using the Liouville representation of quantum mechanics. The state of a nonequilibrium spin system in magnetic field is described by a density vector in Liouville space and the time evolution of the system is followed by the application of a linear master operator to the density vector in this Liouville space. In this master equation the nuclear spin relaxation due to intramolecular dipolar interaction or randomly fluctuating field interaction is explicitly implemented as a relaxation supermatrix for a strong coupled two-spin (1/2) system. The whole dynamic information inherent in the spin system is thus contained in the density vector and the master operator. The radiofrequency pulses are applied in the same space by corresponding unitary rotational supertransformations of the density vector. If the resulting FID is analytically Fourier transformed, it is possible to represent the final nonstationary spectrum using a frequency dependent spectral vector and intensity determining shape vector. The overall algorithm including relaxation interactions is then translated into an ANSIFORTRAN computer program, which can simulate a variety of two dimensional spectra. Furthermore a new strategy is tested by simulation of multiple quantum signals to differentiate the two relaxation interaction types.

다공질정압 Thrust공기 베어링의 동특성 해석 (Analysis on the Dynamic Characteristics of Externally Pressurized Porous Thrust Air Bearings)

  • 박천홍;이후상
    • 연구논문집
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    • 통권23호
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    • pp.5-13
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    • 1993
  • The present work deals with the theoretical prediction of static & dynamic characteristic of annular type externally pressurized thrust air bearings with metal-sintered porous media. For the evaluation of surface loading effect by machining, it is assumed that the flow at the porous surface is dominant and which is equivalent to the flow through orifice. Finite different method with over-relaxation method is used to solve the numerical problems. The influences of radius ratio, supply pressure and squeeze number on performances are investigated, as the results. The results of this study can be used to predict the optimal running condition and stable realm of porous bearings.

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New algorithm for simulating heat transfer in a complex CPFS (Cable Penetration Fire Stop)

  • Yun, Jong-Pil;Kwon, Seong-Pil;Cho, Jae-Kyu;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1798-1803
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    • 2003
  • In this work the dynamic heat transfer occurring in a cable penetration fire stop system built in the firewall of nuclear power plants is three-dimensionally investigated to develop a test-simulator that can be used to verify effectiveness of the sealants. The dynamic heat transfer can be described by a partial differential equation (PDE) and its initial and boundary conditions. For the shake of simplicity PDE is divided into two parts; one corresponding to the heat transfer in the axial direction and the other corresponding to the heat transfer on the vertical layers. Two numerical methods, SOR (Sequential Over-Relaxation) and FEM (Finite Element Method), are implemented to solve these equations respectively. The axial line is discretized, and SOR is applied. Similarly, all the layers are separated into finite elements, where the time and spatial functions are assumed to be of orthogonal collocation state at each element. The heat fluxes on the layers are calculated by FEM. It is shown that the penetration cable influences the temperature distribution of the fire stop system very significantly. The simulation results are shown in the three-dimensional graphics for the understanding of the transient temperature distribution in the fire stop system.

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Giga-Bit급 DRAM을 위한 고유전 $(Ba,Sr)Tio_3$박막 커패시터의 유전완화 특성에 대한 회로 모델 (A Circuit Model of the Dielectric Relaxation of the High Dielectric $(Ba,Sr)Tio_3$ Thin Film Capacitor for Giga-Bit Scale DRAMs)

  • 장병탁;차선용;이희철
    • 대한전자공학회논문지SD
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    • 제37권4호
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    • pp.15-24
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    • 2000
  • 고유전 커패시터의 유전완화 특성은 시간영역에서 나타나는 커패시터의 동적특성으로 이해될 수 있으며 이것은 DRAM의 재충전 시간동안 충전된 전하를 잃어버리는 가장 주된 요인으로 인식된다. 그러므로 DRAM 동작에 미치는 영향을 고려하기 위하여 고유전 커패시터의 유전완화에 대한 등가회로를 만드는 것이 필수적이다. 그러나 아직까지 등가회로를 만들 수 있는 일반적이고 이론적인 방법이 제시되지 않고 있다. 근 본 연구에서는 고유전 커패시터의 등가회로를 주파수 영역에서 모델링하는 새로운 방법을 개발하였다. 이 방법은 이론적인 체계를 갖춘 일반적인 방법이다. 또한, 본 연구에서는 실험과정을 통해서 이 방법의 타당성으로 확인하였고, 궁극적으로 새로운 방법으로 얻어진 등가회로를 활용하여 유전완화가 DRAM 동작에 미치는 영향을 고찰하였다.

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새로운 혼합알고리즘을 이용한 CPFS 내에서의 일어나는 동적 열전달의 수식화 및 해석 (Modeling and analysis of dynamic heat transfer in the cable penetration fire stop system by using a new hybrid algorithm)

  • 윤인섭;윤종필;권성필
    • 한국가스학회지
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    • 제7권4호
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    • pp.44-52
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    • 2003
  • 본 논문은 원자력발전소 방화벽에 설치된 케이블관통부 충전시스템(CPFS: Cable penetration fire stop) 안에서 일어나는 동적 열전달 현상을 수식화하고, 새로운 혼합알고리즘을 이용해서 수치적으로 계산하여, 3차원 그래픽으로 나타내는 작업에 관한 연구이다. CPFS 내에서의 열전도 현상을 주어진 초기조건과 경계조건하에서 포물선 편미분방정식(Parabolic PDE)으로 수식화하였다. 계산을 단순화하기 위하여 전체 열 흐름을 z-축직선상에서의 일어나는 열전도 성분과 x-y-좌표 평면상에서 일어나는 열전도 성분으로 나누었다. z-축과 평행한 직선상에서 일어나는 열전도를 나타내는 PDE는 연속과완화법(SOR: Sequential over-relaxation)을 이용하여 유한불연속 점들에 대한 연립상미분방정식(ODE)으로 만들어서 풀었고, x-y-좌표 평면상에서 일어나는 열전도에 관한 PDE는 Galerkin 유한요소법(FEM: Finite element method)을 적용하여 ODE로 전환해서 풀었다. 여기서 시간과 공간의 함수인 온도는 각 직선상의 점들과 각 평면상의 요소절점들에 대해서 일정한 시간간격으로 초기온도와 경계온도를 업데이트하여 번갈아 가며 계산한다. 이러한 일련의 계산결과를 바탕으로 CPFS시스템 내에서의 온도분포의 동적인 변화를 계산해 낼 수 있었다. 결론적으로 관통하는 케이블이 CPFS시스템의 온도분포에 매우 중요한 역할을 한다는 것을 알 수 있었다. 시뮬레이션 결과는 CPFS내의 온도분포를 쉽게 이해할 수 있도록 3차원 그래픽으로 나타냈으며, 관통하는 케이블이 방화시스템의 온도분포에 매우 중요한 영향을 끼친다는 것을 알 수 있었다. 마지막으로 계산결과를 실험결과와 직접 비교함으로써, 개발된 모델과 계산 알고리즘의 정당성을 보였다.

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