• 제목/요약/키워드: System Equation of Motion

검색결과 748건 처리시간 0.03초

유연한 스커트를 가진 오일붐의 운동응답해석 (The Motion Response of an Oil Boom with Flexible Skirt)

  • 성홍근;조일형;최항순
    • 한국해안해양공학회지
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    • 제7권2호
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    • pp.156-162
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    • 1995
  • 스커트의 유연성을 고려한 2차원 오일붐 모델에 대한 수치해법을 개발하였다. 본 수치모델에서는 부체를 강체로, 스커트를 장력이 걸려 있는 막으로, 스커트의 아래끝엔 집중질량이 놓여 있다고 가정하였다. 유동은 포텐셜이라고 가정하였으며 부체와 스커트의 연결부에서는 변위가 연속이라는 운동학적 조건을 그리고 스커트의 아래끝에는 집중질량에 대한 동력학적인 조건을 부가하였다. 수치해법은 선형포텐셜유동 이론에 근거한 Green 함수방법에 기초를 두고 있다. 스커트의 변형을 미리 알 수 없으므로 방사 포텐셜(radiation potential)과 부체의 변위 그러고 스커트의 변형을 동시에 구하는 방식을 택하였다. Green 정리를 적용하여 얻은 적분방정식과 부체의 운동방정식 그리고 스커트의 변형 관계식을 이산화하여 방사포텐셜과 부체의 변위 그리고 스커트의 변위에 대한 선형대수 방정식을 얻었다. 수치계산결과에 의하면 스커트의 유연성이 부체의 운동응답을 다소 줄일 수 있으며 부체의 공진체계를 바꿀 수 있음을 확인하였다. 그리고 오일붐의 운동응답특성에 영향을 주는 인자들 중에서 스커트의 길이와 집중질량을 파라미터로 하여 오일붐 모델의 운동응답특성을 비교해 보았다. 스커트가 유연한 경우와 스커트가 강체인 경우의 저주파수 극한해는 거의 일치하고 있어 수치해의 타당성을 간접적으로 확인할 수 있었다.

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고속 연삭기 주축 시스템의 회전체 역학 해석 (Rotor Dynamics Analysis of a Spindle System for a High speed Grinding Machine)

  • 최영휴
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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    • pp.714-719
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    • 2000
  • This paper describes a transfer matrix approach to analyze the dynamics of a high sped flexible rotor system supported at 2 positions by five ceramic bearings. The rotor system is modelled as lumped parameters in which many factors are considered not only lumped inertia or mass, bending moment, shear force but also gyroscopic effect and unbalance. The equation of motion is derived in the transfer matrix form, from which the eigenvalues equation is also derived. The transfer natural frequencies and modes. The eigenvalues, eigenmodes, campbell diagram, whirling critical speed, whirling modes, and the response of unbalance are calculated and discussed.

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공기압 구동장치의 에너지효율 평가 (Evaluation of Energy Transfer Efficiency of Pneumatic Driving Apparatus)

  • 장지성;지상원
    • 동력기계공학회지
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    • 제15권6호
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    • pp.95-100
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    • 2011
  • In this study, an evaluation equation of energy efficiency of pneumatic driving apparatus is proposed. The evaluation equation is derived from state equation and energy equation of air in a control volume, and, the equation of motion of a moving part of a pneumatic cylinder. As a result, distribution of consumption energy and energy efficiency of pneumatic driving apparatus can be analyzed quantitatively. The effectiveness of the proposed method is proved by a pneumatic cylinder driving apparatus using a meter-out driving method.

열차하중을 받는 트러스교의 동적하중모형 연구 (A Study on the Dynamic Load Model of Truss Bridge subjected to Moving Train Loads)

  • 안주옥;박상준
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.111-118
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    • 1996
  • Dynamic load models which show the practical behavior of truss bridge subjected to moving train load are presented. Three basically approaches are available for evaluating structural response to dynamic effects : moving force, moving mass, and influence moving force and mass. Simple warren truss bridge model is selected in this research, and idealized lumped mass system, modelled as a planar structure. In the process of dynamic analysis, the uncoupled equation of motion is derived from simultaneous equation of the motion of truss bridge and moving train load. The solution of the uncoupled equations of motion is solved by Newmark-$\beta$ method. The results show that dynamic response of moving mass and static analysis considering the impact factor specified in the present railway bridge code was nearly the same. Generally, the dynamic response of moving force is somewhat greater than that of moving mass. The dynamic load models which are presented by this study are obtained relatively adequate load model when apply to a truss bridge.

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부유체 운동해석을 위한 부분행렬 이용방법 (An Application of the Matrix Partitioning for the Motion Analysis of Floating Bodies)

  • 김동준;윤길수
    • 한국항해학회지
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    • 제10권1호
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    • pp.129-138
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    • 1986
  • A matrix partitioning method is proposed for the 2-D motion analysis of floating bodies. For the numerical solution, the boundary of a floating body is approximated with a series of line segments and the governing integral equation is transformed into a system of linear equations. A new solution procedure of resulting linear equation with complex coefficients is formulated and programmed using a matrix partitioning scheme and the Choleski decomposition. From the case study, it is found that the proposed method is efficient in the motion analysis of floating bodies, especially in the calculation of hydrodynamic coefficients. Also, it requires smaller memory size and less computing time compared with conventional methods.

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응집의 이론 (I) - 수리동역학과 입자간 작용력을 고려한 응집의 모델 - (Theory of Coagulation(I) Coagulation Theory Including Hydrodynamics and Interparticle Forces)

  • 한무영
    • 상하수도학회지
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    • 제9권3호
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    • pp.65-77
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    • 1995
  • The kinetics of flocculation of heterodisperse suspension like those in water treatment plants and natural water system are usually described by the Smoluchowski equation, which incorporates collision frequency functions for particle collisions by Brownian motion, fluid shear, and differential sedimentation. These collisionfrequeney functions have been based on a rectilinear view of collisions, i.e., one that ignores short-range forces and changes in fluid motion as particles approach one another. In this research, a curvilinear approach, i.e., one that accounts for hydrodynamic forces and particle interaction in the collision of two different size particles is developed. Collision efficiency factors of each mechanism can be calculated by trajectory analysis (fluid shear and differential sedimentation) or the solution of diffusion equation (Brownian motion). The results are presented as a set of corrections to the rectilinear collision frequency functions for each mechanism.

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유체유동 회전 외팔 파이프의 동특성 및 안정성 해석 (Dynamic Characteristics and Stability Analysis of a Rotating Cantilever Pipe Conveying Fluid)

  • 김동진;윤한익;손인수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.1185-1190
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    • 2007
  • In this paper the vibration system is consisted of a rotating cantilever pipe conveying fluid. The equation of motion is derived by using the Lagrange's equation. Also, the equation of motion is derived applying a modeling method that employs hybrid deformation variables. Generally, the system of pipe conveying fluid becomes unstable by flutter. So, we studied about the influences of the rotating angular velocity, mass ratio and the velocity of fluid flow on the stability of a cantilever pipe by the numerical method. The influences of mass ratio, the velocity of fluid, the angular velocity of a cantilever pipe and the coupling of these factors on the stability of a cantilever pipe are analytically clarified. The critical fluid velocity$(u_{cr})$ is proportional to the angular velocity of the cantilever pipe. In this paper Flutter(instability) always occur in the second mode of the system.

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파랑중 최소수선면적 쌍동선(SWATH)의 운동제어 (Motion Control of a SWATH Ship in Waves)

  • 이판묵;이상무;홍사영;홍도천
    • 한국기계연구소 소보
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    • 통권17호
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    • pp.157-165
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    • 1987
  • The SWATH concept hull form which is capable of high speed navigation with small oscillatory motions in waves, was developed from the catamaran type hull forms. This paper describes how the motion of a SWATH ship in irregular waves can be reduced by regulating the stabilizing fins. The optimal regulator and LQG (Linear Quadratic Gaussian) controller for vertical plane motion have been applied for both platforming mode and contouring mode controls. The calculations of hydrodynamic coefficients and external forces are possible for defining the system equation for the design purpose of motion control. Performances of the controlled system are compared with those of original system.

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휨과 비틀림이 연계된 채널보의 진동 (Coupled flexural and torsional vibration of channel beam)

  • 김상환
    • 소음진동
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    • 제5권3호
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    • pp.327-335
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    • 1995
  • The study deals with the vibration of a beam whose flexural and centroidal axes are not coincident. The elementary bending-twisting theory is employed to derive the equation of motion, in which the effects of rotary inertia are added to the bending displacements and the effects of warping are added to the twist. Bending translation is restricted to one direction so that one bending equation is used instead of two. The equations of motion are solved by using the boundary value problem. The exact natural frequencies are fund from the frequency equation, which is obtained from the condition that the homogeneous system of algebraic equations representing the spatial solution shall not yield a trivial solution. The orthogonal conditions are established, and the principal mode equations of forced vibration are derived. As an example, the cantilevered beam is chosen and the first some natural frequencies and their modal shapes are found.

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수학적 해석 방법에 의한 액체저장탱크의 액동압 거동 해석 (Hydrodynamic Behavior Analysis of Vertical-Cylindrical Liquid-Storge Tanks by Mathematically Analytic Method)

  • 박종률;오택열
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.487-496
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    • 2002
  • Hydrodynamic behavior and response of vertical-cylindrical liquid-storage tank is considered. The equation of the liquid motion is shown by Laplace's differential equation with the fluid velocity potential. The solution of the Laplace's differential equation of the liquid motion is expressed with the modified Bessel functions. Only rigid tank is studied. The equivalent masses and heights for the tank contents are presented for engineering design model.