• Title/Summary/Keyword: Finite difference method (FDM)

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Study on Two-Dimensional Laminar Flow Through a Finned Channel (박막이 부착된 채널내의 2차원 층류 유동장에 대한 연구)

  • Yoon, Seok-Hyun;Jeong, Jae-Tack
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.545-550
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    • 2001
  • A two-dimensional laminar flow through a channel, on which a couple of symmetric vertical fins are attached, is investigated. The stokes flow for this channel flow is investigated analytically and laminar flow numerically. For analytic solution, the method of eigen function expansion and collocation method are employed. For numerical solution, finite difference method(FDM) is used to obtain vorticity and stream function. From the results, streamline patterns are shown and the pressure drop due to the attached fins is calculated, which depends on the length of fins and Reynolds number. While $Re, streamline pattern is symmetric, a pair of additional asymmetric solutions appear for $Re>Re_c$, where the critical Reynolds number $Re_c$ depends on the length of the fin.

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Analysis of AIGaAs/GaAs Depleted Optical Thyristor using bottom mirror (하부 거울층을 이용한 AIGaAs/GaAs 완전 공핍 광 싸이리스터 특성 분석)

  • Choi Woon-Kyiug;Kim Doo-Gun;Choi Young-Wan
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.1
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    • pp.39-46
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    • 2005
  • We fabricate and analyze fully depleted optical thyristors (DOTs) using quarter wavelength reflector stacks (QWRS). QWRS are employed as bottom mirrors to enhance the emission efficiency as well as the optical sensitivity. In order to analyze their switching characteristics, S-shape nonlinear current-voltage curves are simulated and the reverse full-depletion voltages (Vneg's) of DOTs are obtained as function of semiconductor parameters by using a finite difference method (FDM). The fabricated DOTs show sufficient nonlinear s-shape I-V characteristics and switching voltage changes of these devices with and without bottom mirrors show 1.82 V and 1.52 V, respectively. Compared to a conventional DOT, this device with the bottom mirrors shows about 20% and 46% enhancement in switching voltage change and spontaneous emission efficiency, respectively.

Numerical Evaluation of Forces on TBM during Excavation in Mixed Ground Condition by Coupled DEM-FDM (개별요소법 및 유한차분법 연계 모델을 활용한 복합지반 TBM 굴진 시 TBM에 작용하는 힘의 수치해석적 분석)

  • Choi, Soon-Wook;Lee, Hyobum;Choi, Hangseok;Chang, Soo-Ho;Kang, Tae-Ho;Lee, Chulho
    • Tunnel and Underground Space
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    • v.31 no.6
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    • pp.549-560
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    • 2021
  • Forces exerted on a shield TBM (tunnel boring machine) such as cutter head torque, thrust force, chamber pressure, and upward force are key factors determining TBM performance. However, the forces acting on the TBM when tunnelling the mixed ground have different tendencies compared to that of the uniform ground, which could impair TBM performance. In this study, the effect of mixed ground tunnelling was numerically investigated with torque, thrust force, chamber pressure, and upward force. A coupled discrete element method (DEM) and finite difference method (FDM) model for TBM driving model was used. This numerical study simulates TBM tunnelling in mixed ground composed of upper weathered granite soil and lower weathered rock. The effect on the force acting on the TBM according to the location and slope of the boundary of the mixed ground was numerically examined.

3-D Topology Optimization of Magneto-Thermal Systems (자계-열계 시스템의 3차원 위상최적설계)

  • Shim, Ho-Kyung;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.939-941
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    • 2005
  • This research presents a 3D multi-objective approach regarding both magnetic and thermal characteristics associated with design of C-core actuator. The adjoint variable topology sensitivity equations are derived using the continuum method for three dimension. The sensitivity is verified using the Finite Difference Method(FDM). Convection interpolation function is proposed for density method of topologies such that convection term can be taken into consideration for practical design in the process of the optimization.

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A Study on Continous and Discontinous Analysis of Tunnels in Jointed Rock Mass (절리 암반터널의 불연속체해석과 연속체해석에 관한 고찰)

  • Lee Joung-Sun;Kim Si-Kyeok;Kim Do-Hoon;Jung Jae-Dong
    • Journal of the Korean Society for Railway
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    • v.8 no.1
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    • pp.82-86
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    • 2005
  • Numerical methods to estimate behaviors of jointed rock mass can be roughly divided into two methods : continuous and discontinuous model. Generally, distinct element method(DEM) is applied in discontinuous model, and finite element method(FDM) or finite difference method(FDM) is utilized in continuum model. To predict a behavior of discontinuous model by DEM, it is essential to understand characteristics of joints developed in rock mass through field tests. However, results of field tests can not provide full information about rock mass because field tests are conducted in limited area. In this paper, discontinuous analysis by UDEC and continuous analysis by FLAC are utilized to estimate a behavior of a tunnel in jointed rock mass. For including discontinuous analysis in continuous analysis, joints in rock mass is considered by reducing rock mass properties obtained by RMR and decreasing shear strength of rock mass. By comparing and revising two analysis results, analysis results similar with practical behavior of a tunnel can be induced and appropriate support system is decided.

A Study of Localization of the Adiabatic Shear Band with Numerical Method (단열전단변형에서 국부화에 대한 수치해석적 연구)

  • 이병섭
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.225-228
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    • 1999
  • In a plastically deformed body the formation of a shear band is widely observed in the engineering materials during rapidly forming process for a thermally rate-sensitive material. The localized shear bond stems from evolution of a narrow region in which intensive plastic flow occurs. The shear band often plays as a precursor of the ductile fracture during a forming process. The objectives of this study are to investigate the localization behaivor by using numerical method thus predict the failure. In this work the implicit finite difference scheme is preformed due to the ease of covergence and the numerical stability. This study is based on an analysised material with hardening as well as thermally softening behavior which includes isotropy strain hardening. Furthermore this paper suggests that an anticipated and suggested a kinematic hardening constitutive equation be requried to predicte a more accurate strain level wherein a shear band occurs.

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Finite Difference Analysis of Dynamic Characteristics of Negative Pressure Rectangular Porous Gas Bearings (음압 직각 다공질 공기베어링의 동특성에 관한 유한차분 해석)

  • Hwang Pyung;Khan Polina;Lee Chun-Moo;Kim Eun-Hyo
    • Tribology and Lubricants
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    • v.22 no.2
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    • pp.93-98
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    • 2006
  • The numerical analysis of the negative pressure porous gas bearings is presented. The pressure distribution is calculated using the finite difference method. The Reynolds equation and Darcy's equation are solved simultaneously. The air bearing stiffness and damping are evaluated using the perturbation method. Rectangular uniform grid is employed to model the bearing. The vacuum preloading is considered. The pressure in the vacuum pocket is assumed to be a constant negative pressure. The total load, stiffness, damping and flow rate are calculated fur several geometrical configurations and several values of negative pressure. It is found that too large vacuum pocket can result in negative total force.

Analysis of Output Irregularity from the Transient Behavior of Bundle in a Flow Field (유동계 내 집속체의 과도적 거동에 따른 출력 불균제 해석)

  • Huh Y.;Kim J.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.965-968
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    • 2005
  • Roll drafting operation causes variations in the linear density of bundles because the bundle flow cannot be controlled completely by roll pairs. Defects occurring in this operation bring about many problems successively in the next processes. In this paper, we attempt to analyze the draft dynamics and the linear density irregularity based on the governing equation of a bundle motion that has been suggested in our previous studies. For analyzing the dynamic characteristics of the roll drafting operation, it is indispensable to investigate a transient state in time domain before the bundle flux reaches a steady state. However, since governing equations of bundle flow consisting of continuity and motion equations turn out to be nonlinear, and coupled between variables, the solutions for a transient state cannot be obtained by an analytical method. Therefore, we use the Finite Difference Method(FDM), particularly, the FTBS(Forward-Time Backward-Space) difference method. Then, the total equations system yields to an algebraic equations system and is solved under given initial and boundary conditions in an iterative fashion. From the simulation results, we confirm that state variables show different behavior in the transient state; e.g., the velocity distribution in the flow field changes more quickly the linear density distribution. During a transient flow in a drafting zone, the output irregularity is influenced differently by the disturbances, e.g., the variation in input bundle thickness, the drafting speed, and the draft ratio.

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A Study on Slope Stability of Corestone (핵석지반의 사면안정성 연구)

  • 이수곤;금동헌
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.551-558
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    • 2000
  • When cut slope is excavated, corestone in cut slope exists 20∼30%. In case of soil and soft rock mixing, people lay out gradient of 1 : 0.5, because of soft rock slope. In a case, slope that exists corestone between soil happens to large landslide. So, As a study performs geological survey, Analysis of slope stability reinforcement measures, etc, A study presents example meaures and analysis on slope stability of corestone.

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Analysis of Flexible Media by Dynamic Elastica Theory with Aerodynamic Force (공기저항이 고려된 Dynamic Elastica 이론을 통한 유연매체의 거동해석)

  • Hong, Sung-Kwon;Jee, Jung-Geun;Jang, Yong-Hoon;Park, No-Cheol;Park, Young-Pil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.547-550
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    • 2005
  • In many machines handling lightweight and flexible media, such as automated teller machines and printers, the media must transit an open space. It is important to predict the static and dynamic behavior of the sheets with a high degree of reliability The nonlinear theory of the dynamic elastica has often been used to a nonlinear dynamic deflection model. In this paper, the governing equation is derived and simulated by the finite difference method. The analysis has to include aerodynamic effect for more exact behavior analysis, because the flexible media can be deformed drastically by a little force. Therefore aerodynamic force must be applied to the governing equation. Different results were obtained with and without aerodynamic effect and the resulted show that after contacting circular guide, the directions of flexible media of two cases are different.

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