• 제목/요약/키워드: Governing equation

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비보존력이 작용하는 불연속 변단면 기둥의 안정성 (Stability of Stepped Columns Subjected to Nonconservative Force)

  • 오상진;모정만;이재영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.801-804
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    • 2006
  • The purpose of this paper is to investigate the stability of stepped cantilever columns with a tip mass of rotatory inertia and a translational spring at one end. The column model is based on the Bernoulli-Euler theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibration of columns with stepwise variable cross-section and subjected to a subtangential follower force is solved numerically using the corresponding boundary conditions. And the bisection method is used to calculate the critical divergence/flutter load. The frequency and critical divergence/flutter load for the stepped column with a single step are presented as functions of various non-dimensional system parameters: the segmental length parameter, the section ratio, the subtangential parameter, the mass, the moment of inertia of the mass, and the spring parameter.

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압축성 유동 해석 프로그램 개발을 통한 Eckardt 임펠러의 성능 예측 (Performance Prediction of Eckardt's Impeller based on The Development of compressible Navier-Stokes Solver)

  • 곽승철
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 1998년도 유체기계 연구개발 발표회 논문집
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    • pp.223-232
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    • 1998
  • To investigate the flow inside the centrifugal impeller, computer program which can solve Three-dimensional compressible turbulent flow has been developed. The Navier-Stokes equations were chosen as the governing equation for viscous flow while Euler equations for inviscid case. Time marching method was incorporated with the Flux Difference Splitting method suggested by Roe to capture the steep gradients such as a shock. For high order of accuracy, MUSCL approach was adopted while differentiable limiter to ensure TVD property. For turbulence closure, Baldwin- Lomax model was applied due to its simplicity. To demonstrate the capabilities of present program, several validation problems have been solved and compared with experiments and other available data. From the above calculations generally good agreements were obtained. Finally, the developed code was applied to Eckardt's impeller and the performance prediction was carried out. Some important aspects on boundary condition for successful simulation were discussed and the remedy was also introduced.

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Iterative Analysis for Nonlinear Laminated Rectangular Plates by Finite Difference Method

  • Kim, Chi Kyung
    • International Journal of Safety
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    • 제1권1호
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    • pp.13-17
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    • 2002
  • A new system of equations governing the nonlinear thin laminated plates with large deflections using von Karman equations is derived. The effects of transverse shear in the thin interlayer are included as part of the analysis. The finite difference method is used to perform the geometrically nonlinear behavior of the plate. The resultant equations permit the analysis of the effect of transverse shear stress deformation on the overall behavior of the interlayer using the load incremental method. For the purpose of feasibility and validity of this present method, the numerical results are compared with other available solutions for accuracy as well as efficiency. The solution techniques have been implemented and the numerical results of example problem are discussed and evaluated.

계면활성제첨가에 의한 흡수용액내의 열 및 물질이동해석 (Numerical Analysis of Heat and Mass Transfet in the Absorbent By Surfactant Addition)

  • 이동호;서정연
    • 한국안전학회지
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    • 제6권3호
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    • pp.40-49
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    • 1991
  • To better understand the phenomena inside an absorber, where heat and mass transfer coexist, this study selected the most baslc absorption model from in whifh water vapor is absorbed on the surface of a stationary lithium bromide absurbent solution. The purpose of this study is to obtain basic knowledge of heat and mass transfer processes as affected by Marangoni convection induced by addition of surfactant. We apply a non-flowing bulk absorption model and assume that dropwise surfactant is fixed on the absorbent surface. Four governing equation-continuity, laminar monentum, energy and diffusion are solved numerically to obtain temperature and concentraion distributions during steam absorption with Marangonl convection.. In conclusion, Sh and Nu genrally increase at the initial absorption stage.

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수평방향의 정현파 가진을 받는 강체 블록의 비선형 록킹진동특성 (Nonlinear Rocking Vibration Characteristics for Rigid Block Subjected to Horizontal Sinusoidal Excitation)

  • 정만용;김정호;김지훈;정낙규;양인영
    • 한국안전학회지
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    • 제14권4호
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    • pp.3-12
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    • 1999
  • This research concentrates on the influence of non-linearities associated with impact for the nonlinear rocking behavior of rigid block subjected to one dimensional sinusoidal excitation of horizontal direction. The transition of two governing rocking equations, the abrupt reduction in the kinetic energy associated with impact, and sliding motion of block. In this study, two type of rocking vibration system are considered. One is the undamped rocking vibration system, disregarding energy dissipation at impact and the other is the damped rocking system, including energy dissipation and sliding motion. The response analysis using non-dimensional rocking equation is carried out for the change of excitation parameters and friction coefficient. The chaos responses were discovered in the wide response region, particularly, for the case of high excitation amplitude and their chaos characteristics were examined by the time history, Poincare map, power spectra and Lyapunov Exponent of rocking responses. The complex behavior of chaos response, in the phase space, were illustrated by Poincare map. The bifurcation diagram and Poincare map were shown to be effective in order to understand chaos of rocking system.

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Halbach자화 및 원주방향 자화된 회전자를 갖는 영구자석 기기의 무부하시 자계분포 특성해석 및 비교 (Comparison and Analysis for Open-circuit Field of PM Machines with Halbach and Circumferential Magnetized Rotor)

  • 장석명;최장영;조한욱;양현섭;이성호;정상섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.86-88
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    • 2004
  • This paper deals with the comparison and analysis for open-circuit field of PM(permanent magnet) machines with Halbach and circumferential magnetized rotor. The governing equation is derived in terms of magnetic vector potential and 2-d polar coordinate. And then, analytical results has been verified by comparison with those obtained from FE(finite element) method. On the basis of 2-d analytical results, this paper confirms that PM machines with circumferential magnetized rotor is superior to it with Halbach magnetized rotor in terms of magnitude and sinusoidal wave-forms of flux density due to PM and required magnet volume.

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선수주위 쇄파현상의 수치시뮬레이션에 관한 기초연구 (A FUNDAMENTAL STUDY ON THE NUMERICAL SIMULATION OF WAVE BREAKING PHENOMENON AROUND THE FORE-BODY OF SHIP)

  • 엄태진;이영길;정광열
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.195-199
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    • 2005
  • Wave breaking phenomenon near the fore body of a ship is numerically simulated. The ship advance with uniform velocity in calm water. For the simulation, incompressible Navier-Stokes equations and continuity equation are adopted as governing equations. The simulation is carried out in staggered variable mesh system with finite difference method. Marker and Cell(MAC) method and Marker-Density method are employed to track the free surface. Body boundary conditions are satisfied with the adoption of porosity method and no-slip condition on the hull surface. The ship model has a wedge type fore-body, and the computational domain is an appropriate region around the fore-body. The computation results are compared with some experimental results. Also the difference of the free surface tracking methods are discussed.

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수두차를 이용한 해저퇴적물 흡입현상의 수치시뮬레이션 (NUMERICAL SIMULATION ON THE FLOW PHENOMENON OF SEDIMENT INHALATION BY DIFFERENCE OF WATER HEAD)

  • 정광열;이영길;정우철;손충렬
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.213-217
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    • 2005
  • In this study the water including sediment is assumed that the density is different from fresh water. And the phenomenon inhaled by low pressure around the pipe is numerically simulated in two dimension. The simulation is done using finite difference method in rectangular staggered mesh system and Navier-Stokes equations and continuty equation are employed as governing equations. The method of Irregular leg lengths and stars are adopted to satisfy boundary condition of body boundary. Marker-Density method is used to calculate the density of mixed flow. Also SGS turbulence model is applied to consider vortex smaller then grid at high Renolds number. This study is to analyze inhalation phenomenon of mixed flow with sediment and to verify the numerical method for mixed flow. To verify the numerical results are compared with experimental results

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서로 다른 캐비테이션 모델을 이용한 실린더 주위의 캐비테이션 유동현상 전산해석 (NUMERICAL ANALYSIS OF CAVITATING FLOW PAST CYLINDER WITH THREE DIFFERENT CAVITATION MODELS)

  • 김승윤;박원규;정철민
    • 한국전산유체공학회지
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    • 제16권1호
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    • pp.60-66
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    • 2011
  • Engineering interests of submerged bodies and turbomachinery has led researchers to study various cavitation models for decades. The governing equations used for the present work are the two-phase Navier-Stokes equations with homogeneous mixture model. The solver employed on implicit dual time preconditioning algorithm in curvilinear coordinates. Three different cavitation models were applied to two axisymmetric cylinders and compared with experiments. It is concluded that the Merkle's new cavitation model has successfully accounted for cavitating flows and well captured the re-entrant jet phenomenon over the 0-caliber cylinder.

Multiple-Mode Structural Vibration Control Using Negative Capacitive Shunt Damping

  • Park, Chul-Hue;Park, Hyun-Chul
    • Journal of Mechanical Science and Technology
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    • 제17권11호
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    • pp.1650-1658
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    • 2003
  • This paper deals with a novel shunt circuit, which is capable of suppressing multimode vibration amplitudes by using a pair of piezoceramic patches. In order to describe the characteristic behaviors of a piezoelectric damper connected with a series and a parallel resistor-negative capacitor branch circuit, the stiffness ratio and loss factor with respect to the non-dimensional frequency are considered. The mechanism of the shunt damper is also described by considering a shunt voltage constrained by shunt impedance. To obtain a guideline model of the piezo/beam system with a negative capacitive shunting, the governing equations of motion are derived through the Hamilton's principle and a piezo sensor equation as well as a shunt-damping matrix is developed. The theoretical analysis shows that the piezo/beam system combined with a series and a parallel resistor-negative capacitor branch circuit developed in this study can significantly reduce the multiple-mode vibration amplitudes over the whole structural frequency range.