• Title/Summary/Keyword: Euler Method

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Noise Reduction of Blade Vortex Interaction Using Tip Jet Blowing

  • Yang Choongmo;Baek Jehyun;Saito Shigeru;Aoyama Takashi
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.172-174
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    • 2003
  • Nnumerical investigations of the tip vortical characteristics were conducted with lateral tip blowing to reduce Blade-Vortex Interaction (BVI) noise. The predictions of BVI noise were performed using a combined method of an unsteady Euler code with an aeroacoustic code based on Ffowcs- Williams and Hawkings formulation. A moving overlapped grid system with three types of grids (blade grid, inner and outer background grid) was used to simulate BVI of helicopter with two OLS-airfoil blades in forward/ descending flight condition. The calculated waveform of BVI noise, which is characterized by the distinct peaks caused during blade vortex interaction, clearly shows the effect of lateral blowing at tip to reduce BVI noise

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UNSTEADY AERODYNAMIC ANALYSIS FOR HELICOPTER ROTOR IN HOVERING AND FORWARDING FLIGHT USING OVERSET GRID (중첩격자를 이용한 제자리 및 전진 비행하는 헬리콥터 로터의 비정상 공력해석)

  • Im, Dong-Kyun;Wie, Seong-Yong;Kim, Eu-Gene;Kwon, Jang-Hyuk;Lee, Duck-Joo
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.77-81
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    • 2007
  • In this paper, helicopter aerodynamics is simulated in hovering and forwarding flighst. The governing equation is the unsteady Euler equation. To consider the blade motion and moving effects, an overset grid technique is applied in this simulation. At the boundary, the Riemann invariants condition is used for inflow and outflow. To validate this method, the result is compared with Caradonna-Tung's experimental data.

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Three-Dimensional Computations of the Impulsive Wave Discharged from a Duct

  • Lee Young-Ki;Kweon Yong-Hun;Kim Heuy-Dong;Setoguchi Toshiaki
    • Journal of Mechanical Science and Technology
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    • v.19 no.2
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    • pp.605-617
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    • 2005
  • A sudden discharge of mass flow from the exit of a duct can generate an impulsive wave, generally leading to undesirable noise and vibration problems. The present study develops an understanding of unsteady flow physics with regard to the impulsive wave discharged from a duct, using a numerical method. A second order total variation diminishing scheme is employed to solve three-dimensional, unsteady, compressible Euler equations. Computations are performed for several exit conditions with and without ground and wall effects under a change in the Mach number of an initial shock wave from 1.1 to 1.5. The results obtained show that the directivity and magnitude of the impulsive wave discharged from the duct are significantly influenced by the initial shock Mach number and by the presence of the ground and walls.

A Study on the Stress Analysis ofAxi-symetric Body with N on-symetric Load and N on-symetric Given Displacements (비대칭 하중을 받고 비대칭 변위가 주어진 축대칭 물체의 응력해석에 관한 연구)

  • 전효중;왕지석;최순열
    • Journal of Advanced Marine Engineering and Technology
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    • v.14 no.4
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    • pp.46-56
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    • 1990
  • Stress analysis of axi-symetric body with non-symetric loading and non-symetric given displacements is investigated in this paper using the finite element method. As the non-symetric load and non-symetric given displacements of axi-symetric body are generally periodic functions of angle .theta., the nodal forces and nodal displacements can be expanded in cosine and sine series, that is, Fourier series. Furthermore, using Euler's formula, the cosine and sine series can be converted into exponential series and it is prooved that the related calculus become more clear. Substituting the nodal displacements expanded in Fourier series into the strain components of cylindrical coordinates system, the element strains are expressed in series form and by the principal of virtual work, the element stiffness martix and element load vector are obtained for each order. It is also showed that if the non-symetric loads are even or odd functions of angle ${\theta}$ the stiffness matrix and load vector of the system are composed with only real numbers and relatively small capacity fo computer memory is enough for calculation.

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Effects of Crack on Stability of Cantilever Pipe Conveying Fluid (유체유동 외팔 파이프의 안정성에 미치는 크랙의 영향)

  • Son, In-Soo;Yoon, Han-Ik;Kim, Dong-Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.11
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    • pp.1119-1126
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    • 2007
  • In this paper, the dynamic stability of a cracked cantilever pipe conveying fluid with tip mass is investigated. The pipe is modelled by the Euler-Bernoulli beam theory in which rotatory inertia and shear deformation effects are ignored. The equation of motion is derived by the energy expressions using extended Hamilton's Principle. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influence of the crack severity, the position of crack, the mass ratio, and a tip mass on the stability of a cantilever pipe conveying fluid are studied by the numerical method. Besides, the critical flow velocity and the stability maps of the pipe system as a function of mass ratios($\beta$) for the changing each parameter are obtained.

Static and dynamic stability of cracked multi-storey steel frames

  • Sabuncu, Mustafa;Ozturk, Hasan;Yashar, Ahmed
    • Structural Engineering and Mechanics
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    • v.58 no.1
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    • pp.103-119
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    • 2016
  • Multi-storey frame structures are frequently exposed to static and dynamic forces. Therefore analyses of static (buckling) and dynamic stability come into prominence for these structures. In this study, the effects of number of storey, static and dynamic load parameters, crack depth and crack location on the in-plane static and dynamic stability of cracked multi-storey frame structures subjected to periodic loading have been investigated numerically by using the Finite Element Method. A crack element based on the Euler beam theory is developed by using the principles of fracture mechanics. The equation of motion for the cracked multi-storey frame subjected to periodic loading is achieved by Lagrange's equation. The results obtained from the stability analysis are presented in three dimensional graphs and tables.

Response determination of a viscoelastic Timoshenko beam subjected to moving load using analytical and numerical methods

  • Tehrani, Mohammad;Eipakchi, H.R.
    • Structural Engineering and Mechanics
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    • v.44 no.1
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    • pp.1-13
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    • 2012
  • In this paper the dynamic behavior of a viscoelastic Timoshenko beam subjected to a concentrated moving load are studied analytically and numerically. The viscoelastic properties of the beam obey the linear standard model in shear and incompressible in bulk. The governing equation for Timoshenko beam theory is obtained in viscoelastic form using the correspondence principle. The analytical solution is based on the Fourier series and the numerical solution is performed with finite element method. The effects of the material properties and the load velocity are investigated on the responses by numerical and analytical methods. In addition, the results are compared with the Euler beam results.

Angular Speed Estimation and Two-Axis Attitude Control of a Spacecraft Using a Variable-Speed Control Moment Gyroscope (가변속 CMG를 장착한 위성의 각속도 추정 및 2축 자세제어)

  • Jin, Jae-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.11
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    • pp.1104-1109
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    • 2010
  • This paper deals with the attitude control of an underactuated spacecraft that has fewer than three actuators. Even though such spacecrafts are known as uncontrollable, restricted missions are possible with controlling two-axis attitude angles. A variable speed control moment gyroscope is considered as an actuator. It is a kind of momentum exchange device and it shows highly nonlinear dynamical properties. Speed commands are generated by kinematic equations represented by Euler angles. A control law, that is designed to make a spacecraft follow the speed commands, is derived by the backstepping method. Angular speeds are estimated from the attitude measurements. Several estimation methods have been compared.

Influence of Tip Mass and Moving Mass on Dynamic Behavior of Cantilever Pope with Double-crack (이중크랙을 가진 외팔 파이프의 동특성에 미치는 끝단질량과 이동질량의 영향)

  • Son In-Soo;Yoon Han-Ik
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.4 s.97
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    • pp.483-491
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    • 2005
  • In this paper a dynamic behavior of a double-cracked cantilever pipe with the tip mass and a moving mass is presented. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using Lagrange's equation. The influences of the moving mass, the tip mass and double cracks have been studied on the dynamic behavior of a cantilever pipe system by numerical method. The cracks section are represented by the local flexibility matrix connecting two undamaged beam segments. Therefore, the cracks are modelled as a rotational spring. This matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics theory. We investigated about the effect of the two cracks and a tip mass on the dynamic behavior of a cantilever pipe with a moving mass.

A Study on the Development of 6DOF Vibration Simulator for Human Vibration Experiment (인체진동 실험용 6 자유도 가진기 개발에 관한 연구)

  • Woo, Chun-Kyu;Kim, Soo-Hyun;Kwak, Yoon-Keun;Cheung, Wan-Sup
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.144-150
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    • 2000
  • In this paper, we introduce a modified six-degrees-of-freedom parallel-link manipulator, which will be applied to the human vibration experiments. We analyze the inverse kinematics and workspace of this manipulator and comprehend the characteristics of kinematics analyzed. Additionally, solutions of forward kinematics are obtained through the iterative Newton-Raphson method known as one of the most used numerical analysis. Finally, dynamic equation of the manipulator is derived in closed form through the Newton-Euler approach, which will be used for the development of control software.

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