• Title/Summary/Keyword: 적분방정식

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A Numerical Model of Large Scale Grid for Two-Dimensional Wake behind Bodies (저항물체 배후의 이차원 후류에 관한 대격자 수치모형)

  • 박일흠;이종섭;이문옥
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.83-92
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    • 1998
  • To evaluate the hydraulic resistance behind bodies in a large scale grid numerical model, a drag stress term which is formulated by the drag force is introduced in the depth-integrated Reynolds equations. And also, the applicability and problems of this model are discussed through various numerical experiments where the analytical solutions exist. In the case of a single body, the error range of velocity difference between analytical and numerical solutions is within $\pm$10% and the wake width behind the body shows a good agreement with the analytical solution. When the drag coefficient and the eddy viscosity are precisely decided, the numerical solutions behind a row of bodies will be efficiently used in real situations.

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Wave Damping Rate Over Multi-layer Permeable Bed of Finite Depth (깊이가 유한한 다중 투수층 위에서의 파의 감쇠율)

  • Suh, Kyung-Duck;Do, Ki-Deok
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.2
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    • pp.127-135
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    • 2009
  • Reid and Kajiura(1957) has studied on the wave damping rate over a permeable bed of infinite depth. In this study, wave damping rate over a permeable bed of finite depth is derived by linear wave theory. It is then extended to derive wave damping rates over a double or triple layer, each of which consist of different material. Applying the wave damping rate to the mild slope equation, the wave transmission coefficient over a permeable bed has been calculated. The model has been certificated by comparing with the result of Flaten and Rygg(1991)'s integral equation method in the case of a single-layer bed.

A Study on the Lateral Vibretion of a Railway Vehicle Utilizing Statistical Linearization Technique (확률적 선형화를 이용한 철도차량의 횡방향 진동에 관한 연구)

  • 임종순;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.742-750
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    • 1986
  • The lateral vibrating motion of a railway vehicle over a certain critical speed is a well known problem in the field of train dynamics. It is known that the train equations of motion are strongly coupled and highly nonlinear with the motion and causing that it is very difficult to solve the equations simultaneously. In this paper, a 8 degree of feedom model of a railway vehicle was suggested to solve the rail vehicle lateral motion. In stead of solving the nonlinear equation simultaneously, statistical linearization technique was adopted to solve those equations. The analysis results from the statistical linearization method were directly compared with those from direct nonlinear equations and found that the linearization technique can be very effective and economical for railroad vehicle analysis. By the way, it was found that the analysis results can analytically explain the intermittent hunting phenomena which has been frequently observed in experiments.

Optimal Positioning of Heating Lines in a Compression Molding Die Using the Boundary Element Method (경계요소법을 이용한 압축성형다이 가열선의 최적위치 설계)

  • 이부윤;조종래
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1478-1485
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    • 1993
  • A shape optimization problem is formulated to determine the optimal position of heating lines in a compression molding die. The objective of the problem is that the cavity surface would be maintained by a prescribed uniform temperature. A boundary integral equation for the sensitivity of the temperature in terms of hole position is derived using the method of shape design sensitivity analysis. The boundary element method is employed to analyze the temperature and sensitivity field of the die. The sensitivity calculation algorithm is incorporated in an optimization routine. To demonstrate a numerical implementation, an example problem arising in thermal design of a compression molding die is dealt with, showing that the number of heating lines chosen for the die strongly affects the ultimate uniformity of the cavity surface temperature.

Numerical Investigation on the Mechanism of Mode Transition in Axi-symmetric Supersonic Jet Screech (축대칭 초음속 제트에서 스크리치 모드 전이현상의 수치적 연구)

  • Bin, Jong-Hoon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.8
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    • pp.790-797
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    • 2010
  • Mode transition of the axi-symmetric screech tone in the low supersonic Mach number range from 1.0 to 1.20 is numerically analyzed. The axi-symmetric Navier-Stokes equations and the k-e turbulence model are solved in the cylindrical coordinate system. The dispersion-relation-preserving(DRP) scheme is applied for space discretization and the optimized four levels marching method are used for time integration. At low supersonic Mach numbers with an axi-symmetric A1 mode in the simulation, it is shown that acoustic propagation due to the nonlinear effects is seen in the lateral direction and the screech tone frequency is the same as the vortex passing frequency due to the generation of intense large-scale vortical motions.

Simulation Program Development for Controller design and Performance analysis of Manta-type UUV (만타형 무인잠수정의 제어기 설계 및 운동성능 해석을 위한 시뮬레이션 프로그램 개발)

  • Byun, Seung-Woo;Kim, Joon-Young;Sohn, Kyoung-Ho;Lee, Seung-Keon
    • Proceedings of the KAIS Fall Conference
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    • 2009.05a
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    • pp.244-248
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    • 2009
  • 본 논문에서는 만타형상의 무인잠수정의 운동성능과 제어기설계에 대한 성능을 확인하기 위한 수학모델을 정립하여 시뮬레이션 프로그램을 개발하였다. 본 논문에 사용된 수학모델은 6자유도 운동방정식을 이용하여 Matlab / Simulink를 이용하여 시뮬레이션 프로그램을 개발하였다. 개발된 시뮬레이션 프로그램을 이용하여 만타형상무인잠수정(Manta-type unmanned underwater test vehicle)의 동역학적 운동성능을 해석하였으며, 무인잠수정의 제어성능을 해석하기 위하여 PID(비례-미분-적분)제어기와 슬라이딩모드(Sliding mode)제어기를 설계하여 만타형상무인잠수정의 제어 성능을 해석하였다. 설계된 제어기는 무인잠수정의 수심제어와 방향각제어에 사용되었다. 설계된 제어기의 성능을 확인하기 위하여 미국 해군대학원(Naval Postgraduate School)의 AUV II와 비교하였다. 설계된 수심제어와 방향각 제어기를 이용하여 만타형무인잠수정의 설계 목표에 부합하는 항해제어시뮬레이션을 실시하였다.

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Robust Output Feedback Control Using a Servocompensator (서보보상기를 사용한 견실 출력귀환제어)

  • Lee, Ho-Jin;Lee, Keum-Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.3
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    • pp.217-221
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    • 2007
  • This paper deals with the robust nonlinear controller design using output feedback for a Chua circuit which is one of the well-known nonlinear models. First, an exosystem for reference signal tracking is defined, and error dynamic equations are derived from the differentiation of the output tracking error equation. The normal sliding surface is modified using the integral type servo compensator. The parameters in the equations of the modified sliding surface and servo compensator are determined by using the Hurwitz condition of stability. Especially the error signals can't be obtained directly from the output because all parameters are assumed unknown. So instead, a high gain observer is designed. From this estimated error signals, a stabilizing controller is designed. Simulation is done for demonstrating the effectiveness of the suggested algorithm.

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Unsteady Flow Analysis Around a HAWT System Using Sliding Mesh Technique (미끄럼 격자를 이용한 HAWT 시스템 주위의 비정상 유동장 해석)

  • Lee, Chi-Hoon;Kim, Sang-Gon;Joh, Chang-Yeol
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.3
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    • pp.201-209
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    • 2011
  • An unsteady RANS analysis study of the 3-D flow around the NREL Phase VI horizontal axis wind turbine(HAWT) was performed using sliding mesh approach. Two different analysis models such as rotor-only and rotor with tower/nacelle were constructed to investigate the blade/tower interaction. Analysis results for the rotor with tower/nacelle were compared with the corresponding NREL's experimental data which produced fairly good validation of the present CFD model. Comparison of flows around those two models also clearly showed the blade/tower interaction even it was small for upwind configuration. Other visualization results and integrated aerodynamic loads including torque of the blade demonstrated the effective unsteady flow simulation capability of the present CFD model.

A Study on the East/West Station Keeping Planning Considering Wheel Off-Loading (휠오프로딩을 고려한 동서 위치유지 기동 계획 연구)

  • 이상철;주광혁;김방엽;박봉규;박영웅
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.9
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    • pp.60-66
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    • 2006
  • Now, on developing COMS(Communication, Ocean and Meteorological Satellite) has solar panel on the south panel only. Therefore, the wheel off-loading has to be performed periodically to reduce a induced momentum energy by a asymmetric solar panel. One of two East/West station keeping maneuver to correct simultaneously longitude and eccentricity, orbit corrections may be performed during one of the two wheel off-loading manoeuvres per day to get enough observation time for meteorological and ocean sensor. In this paper, we applied a linearized orbit maneuver equation to acquire maneuver time and delta-V. Nonlinear simulation for the station keeping is performed and compared with general station keeping strategy for fuel reduction.

Analytic Prediction of Friction Factors for Turbulent Flow in Longitudinally Finned Rod Bundles (길이 방향 핀이 달린 봉 다발에서의 난류 마찰계수 산출을 위한 해석적 방법)

  • Kim, Nae-Hyun;Hong, Sung-Deok;Kwon, Hyuk-Sung;Lee, Sang-Keun
    • Nuclear Engineering and Technology
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    • v.23 no.4
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    • pp.401-409
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    • 1991
  • This work is concerned with the development of an analytical model to predict the friction in longitudinally finned rod bundles. Such bundles are currently considered in KMRR design. The present model assumes the validity of the Law of the Wall over entire flow area. The flow channel area is divided into the interfin region and a number of element channels, and the algebraic form of the Law of the Wall is integrated over each element channel and interfin region to yield an analytic expression for the pressure drop. The model reasonably predicts the 6 fin KMRR data, and overpredicts the 8 fin data about 15 percent.

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