• Title/Summary/Keyword: 오일러 수

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Compressibility correction of the Panel Method in Flow Analysis of a High Subsonic Turbine Cascade (고 아음속 터빈 캐스케이드 유동 해석을 위한 패널법의 압축성 보정)

  • Kim, Hark-Bong;Kim, Jin-Kon;Kwak, Jae-Su;Kang, Jeong-Seek
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2007.11a
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    • pp.49-54
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    • 2007
  • Flow analysis in a turbine cascade by Euler or Navier-Stokes equation gives relatively accurate solution, however, those method require large computer memory or computing time. on contrast, the panel method, which is applied to incompressible and inviscid flow, provides fast and reasonal solution but the compressibility correction is required for a high air velocity case. In this paper, the compressibility corrected panel method was applied in order to find velocity distribution on turbine blades. Results showed that the calculated velocity in a turbine cascade by the compressibility corrected panel method gave good agreement with experimental results or the solution by finite volume method for compressible flow.

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A Study on the Control for an Outer-hull Preprocessing Robot Using a Quaternion (쿼터니언을 이용한 선체 외판 전처리 로봇 제어에 관한 연구)

  • Chung, Won-Jee;Kim, Ki-Jung;Kim, Sung-Hyun;Lee, Choon-Man;Shin, Ki-Su;Lee, Ki-Sang
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.15 no.6
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    • pp.1-7
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    • 2006
  • This paper presents the study in the development of optimal working method for an outer-hull preprocessing robot using a quaternion. The out-hull preprocessing robot consists of feathering and cleaning parts. This robot should be controlled correctly for feathering work because it is to be worked on a curved plate that can result in the errors of orientation. In this paper, we propose a control algorithm between given two orientations of the out-hull preprocessing robot by using a quaternion with spherical linear interpolation. The proposed control algorithm is shown to be effective in terms of motor angles and torques when compared to a conventional Euler angle interpolation, by using both $MATLAB^{\circledR}$ and $VisualNastran4D^{\circledR}$.

Free vibration analysis of double split beams (이중 층상균열보의 자유진동해석)

  • Han, B.K;Lee, S.H
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2008-2018
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    • 1997
  • In this study, free vibration analysis of double through-the-width split beam is studied based on the author's earlier work. Each segment which constructs double through-the-width split beam is considered as Timoshenko beam. The effect of coupling between longitudinal and transverse vibration on the natural frequencies of split beams is considered. Data acquisition and modal test of double split beam for clamped-free boundary condition are carried out. Experimental and numerical results obtained by ANSYS were compared with the calculated data by present theory and their comparisons give good agreement with one another. The influences of the size and location of double split, shear deformation, and boundary conditions on the natural frequencies are demonstrated for illustrative purpose. Effects of double split on the dynamic characteristics of beams can be used to detect the size and the location of damages in structures.

Dynamic Elastic Constants of Composite Material using Resonance Frequencies, Euler and Timoshenko Beam Equations (공진주파수, 오일러 티모센코 빔 방정식을 이용한 복합재료의 동적탄성계수 측정에 관한 연구)

  • Lee, Jae-Hyeok;Park, Se-Man;Kim, Hyeong-Sam
    • Korean Journal of Materials Research
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    • v.9 no.7
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    • pp.670-674
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    • 1999
  • Accurate measurements of elastic constants are important from the view points of both science and engineering. The measurement can be viewed from scientific principle as a service tools for analyzing and improving the understanding of the nature of bondings between atoms and between ions. Also, from engineering perspective it would became an important factor to be definitely considered for the design of machinery equipments. In this investigation, two dynamic experimental methods of vibrations (acoustic method and Impulse technique method) are utilized and the results from the both methods are compared to obtain elastic constants data with a high degree of accuracy. The resonance frequencies obtained from the two methods are applied to both Euler and Timoshenko beam equations respectively, to determine the sources for possible differences.

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Detection of Sub-Breaking Waves around a Blunt Bow (비대선수 주위의 Sub-Breaking Wave 탐지기법)

  • Myung-Soo Shin;Young-Gill Lee;Eun-Chan Kim;Seung-Il Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.3
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    • pp.117-124
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    • 1992
  • Waves around a practical hull form and a series 60 model are computed by rectangular variable spacing and staggered flesh systems based on MAC(Marker and Cell) method. As a governing equation, the Euler equation is adopted. The comparison indicates that the computed waves are in good agreement with the measured results and that the MAC method is useful. On the other hand, a critical condition for the appearance of sub-breaking waves derived from the in viscid instability analysis is applied to the calculated flow field around a blunt bow. It is confirmed that the derived condition detects well the appearance of sub-breaking waves.

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Appling Multi-dimensional Limiting Process (MLP) to shallow water flow simulation (MLP 기법을 이용한 천수흐름 수치모의)

  • An, Hyun-Uk;Yu, Soon-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.537-537
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    • 2012
  • 천수방정식의 수치모형은 하천의 유량예측, 홍수범람해석, 해일 모의 등에 널리 사용되고 있고, 그 결과는 수자원 관리, 재난 대책 등 정책적인 의사결정에 있어 유용한 자료로 활용되고 있다. 이처럼 천수방정식의 수치모형은 연구목적뿐만 아니라 실생활에 있어서도 큰 영향을 미치고 있으며, 이에 보다 정확하고 효율적인 수치모형의 구축이 수리/수자원/방재분야에서 중요한 영역이 되고 있다. 본 연구는 정확하고 안정적인 수치모의를 위해 천수방정식의 수치모형에 MLP(Multi dimensional Limiting Process)기법을 적용한 후 다차원 모의 시 MLP의 수치 진동 제어 성능을 검증하고자 하였다. MLP기법은 다차원에서 수치진동을 억제할 수 있도록 개발된 기법으로, 기존 TVD 제어자(limiter)과 MLP의 차이점은 기존 제어자들이 흐름이 발생하는 셀 경계면에서 재구성된 값이 Maximum Principle을 만족시키도록 제어자를 유도하는데 반해, MLP는 셀 절점에서 Maximum Principle을 만족시키도록 제어자를 유도한다는데 있다. MLP기법은 압축성 유체를 표현하는 2, 3차원 오일러 방정식에 적용되어 기존의 제어자들에 비해 안정적이며 정확한 수치모의를 가능하게 하는 것이 검증되었다. 하지만 천수방정식에 적용된 예는 없으며, 이에 본 연구는 천수방정식에 MLP를 적용하고 천수방정식 수치모형 검증에 주로 사용되는 수치모의를 통해 MLP의 수치 진동 제어 성능을 검증하였다. 모의 결과, MLP는 2차원 천수방정식에 있어서도 기존의 제어자들과 비교하여 수치진동을 보다 잘 제어하는 것으로 판단된다. MLP의 사용으로 인해 불연속면 근처에서 정확도가 향상되었고 수치진동이 발생하지 않아 보다 안정적인 모의가 가능하였다.

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Forced Vibration Modeling of Rail Considering Shear Deformation and Moving Magnetic Load (전단변형과 시간변화 이동자기력을 고려한 레일의 강제진동모델링)

  • Kim, Jun Soo;Kim, Seong Jong;Lee, Hyuk;Ha, Sung Kyu;Lee, Young-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.12
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    • pp.1547-1557
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    • 2013
  • A forced vibration model of a rail system was established using the Timoshenko beam theory to determine the dynamic response of a rail under time-varying load considering the damping effect and stiffness of the elastic foundation. By using a Fourier series and a numerical method, the critical velocity and dynamic response of the rail were obtained. The forced vibration model was verified by using FEM and Euler beam theory. The permanent deformation of the rail was predicted based on the forced vibration model. The permanent deformation and wear were observed through the experiment. Parametric studies were then conducted to investigate the effect of five design factors, i.e., rail cross-section shape, rail material density, rail material stiffness, containment stiffness, and damping coefficient between rail and containment, on four performance indices of the rail, i.e., critical velocity, maximum deflection, maximum longitudinal stress, and maximum shear stress.

Stable Mass-Spring Model for Real-time Animation of Flexible Objects (비정형 물체의 실시간 애니메이션을 위한 안정적 질량-스프링 모델)

  • Gang, Yeong-Min;Jo, Hwan-Gyu;Park, Chan-Jong
    • Journal of the Korea Computer Graphics Society
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    • v.5 no.1
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    • pp.27-33
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    • 1999
  • In this paper, we propose an efficient technique for the animation of flexible thin objects. Mass-spring model was employed to represent the flexible objects. Till now, many techniques have used the mass-spring model to generate plausible animation of soft objects. A straight-forward approach to the animation with mass-spring model is explicit Euler method, but the explicit Euler method has serious disadvantage that it suffers from 'instability problem'. The implicit integration method is a possible solution to overcome the instability problem. However, the most critical flaw of the implicit method is that it involves a large linear system. This paper presents a fast animation technique for mass-spring model with approximated implicit method. The proposed technique stably updates the state of n mass-points in O(n) time when the number of total springs are O(n). We also consider the interaction of the flexible object and air in order to generate plausible results.

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Implementation of a Helmet Azimuth Tracking System in the Vehicle (이동체 내의 헬멧 방위각 추적 시스템 구현)

  • Lee, Ji-Hoon;Chung, Hae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.4
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    • pp.529-535
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    • 2020
  • It is important to secure the driver's external field view in armored vehicles surrounded by iron armor for preparation for the enemy's firepower. For this purpose, a 360 degree rotatable surveillance camera is mounted on the vehicle. In this case, the key idea is to recognize the head of the driver wearing a helmet so that the external camera rotated in exactly the same direction. In this paper, we introduce a method that uses a MEMS-based AHRS sensor and a illuminance sensor to compensate for the disadvantages of the existing optical method and implements it with low cost. The key idea is to set the direction of the camera by using the difference between the Euler angles detected by two sensors mounted on the camera and the helmet, and to adjust the direction with illuminance sensor from time to time to remove the drift error of sensors. The implemented prototype will show the camera's direction matches exactly in driver's one.

Experimental Study about Two-phase Damping Ratio on a Tube Bundle Subjected to Homogeneous Two-phase Flow (균질 2상 유동에 놓인 관군에 작용하는 감쇠비에 대한 실험적 연구)

  • Sim, Woo Gun;Dagdan, Banzragch
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.3
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    • pp.171-181
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    • 2017
  • Two-phase cross flow exists in many shell-and-tube heat exchangers such as condensers, evaporators, and nuclear steam generators. The drag force acting on a tube bundle subjected to air/water flow is evaluated experimentally. The cylinders subjected to two-phase flow are arranged in a normal square array. The ratio of pitch to diameter is 1.35, and the diameter of the cylinder is 18 mm. The drag force along the flow direction on the tube bundles is measured to calculate the drag coefficient and the two-phase damping ratio. The two-phase damping ratios, given by the analytical model for a homogeneous two-phase flow, are compared with experimental results. The correlation factor between the frictional pressure drop and the hydraulic drag coefficient is determined from the experimental results. The factor is used to calculate the drag force analytically. It is found that with an increase in the mass flux, the drag force, and the drag coefficients are close to the results given by the homogeneous model. The result shows that the damping ratio can be calculated using the homogeneous model for bubbly flow of sufficiently large mass flux.