• Title/Summary/Keyword: Euler 해석

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Effect of Shock Waves on Dynamic Stability of Transonic Missiles (천음속 미사일의 동안정성에 대한 충격파 영향)

  • Park, Su-Hyeong;Gwon, Jang-Hyeok;Heo, Gi-Hun;Byeon, U-Sik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.2
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    • pp.12-20
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    • 2002
  • Three dimentional unsteady Euler equations are solved and an integration method is presented to predict the dynamic stability derivatives of transonic missiles. Results for the Basic Finner model are compared with several experimental data to vaildate the prediction capability of the present method. The variations of dynamic stability derivatives are discussed with respect to angle of attack, Mach number, and rotation rate. Results show that shock waves between fins enhance the pitch-damping characteristics in transonic region. Results also imply that the Euler equations can give the damping coefficients with comparable accuracy.

Free Vibrations of Elastica Shaped Arches with Linear Taper (선형 변단면 정확탄성곡선형 아치의 자유진동)

  • Lee, Byoung Koo;Lee, Tae Eun;Kim, Gwon Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.6A
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    • pp.617-624
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    • 2009
  • This study deals with the free vibrations of the elastica shaped arch with linear taper. The shape of elastica is obtained from the Bernoulli-Euler beam theory. Differential equations governing free vibrations of such arch are derived and numerically solved to determine natural frequencies, in which three kinds of taper type and two kinds of end constraint, respectively, are considered. For validating the theories presented herein, the frequency parameters obtained in this study are compared to those of SAP 2000. As results of the numerical analyses, effects of end constraint, taper type, slenderness ratio and section ratio on the lowest four non-dimensional frequency parameters are extensively investigated.

SUPERSONIC/HYPERSONIC UNSTEADY AERODYNAMIC ANALYSIS OF A WEDGE-TYPE AIRFOIL USING NONLINEAR PISTON THEORY AND EULER EQUATIONS (비선형 피스톤 이론과 오일러 방정식을 이용한 쐐기형 에어포일의 초음속/극초음속 비정상 공력해석)

  • Kim Dong-Hyun
    • Journal of computational fluids engineering
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    • v.10 no.3 s.30
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    • pp.1-8
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    • 2005
  • In this study, unsteady aerodynamic analyses of a wedge-type airfoil based on nonlinear piston theory and Euler equations have been performed in supersonic and hypersonic flows. The third-order nonlinear piston theory (NPT) to calculate unsteady lift and moment coefficients is derived and applied in the time-domain. Also, unsteady flow quantities are obtained from the two-dimensional time-dependent Euler equations. For the CFD based unsteady aerodynamic analyses, an arbitrary Lagrangean-Eulerian (ALE) formulation for the Euler equations is used to calculate flow fluxes in the computational flow field with moving boundaries. Numerical comparisons for unsteady lift and moment coefficients are presented between NPT and Euler approaches. The results show very good agreements in the high supersonic and hypersonic flows. It means that the present NPT can be efficiently used to predict unsteady aerodynamic forces ol wedge type airfoils with dynamic motions in the high supersonic and hypersonic flow regimes.

Modeling and Vibration Analysis of Rotating Thick Beams (회전하는 두꺼운 외팔보의 모델링 및 진동특성 해석)

  • 신상하;유홍희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.179-184
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    • 1995
  • 본 논문은 단면관성 효과와 전단효과를 고려한 회전하는 두껍고 짧은 외팔보의 진동해석모델링을 제시하였으며 수치해석을 통해 다음과 같은 결론을 얻었다. 세장비가 큰 경우(.alpha.는 70 이상) Timoshenko 해석모델과 Euler 해석모델에 의한 고유진동수 예측은 거의 차이가 없다. 그러나 세장비가 작은 경우 Euler 해석모델은 Timoshenko 해석모델에 비해 큰 무차원 고유진동수 값을 예측하며 특히 고차모드에서 두 모델은 큰 해석결과의 차이를 보여주었다. 따라서 보의 세장비가 작은 경우, 보가 회전할 때도 일반적 해석경우와 마찬가지로 Timoshenko 해석모델을 사용해야 된다는 자연스러운 결론을 얻을 수 있었다.

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Aerodynamic characteristics of KSR-Ⅲ and jet impingement on a deflector during launch (KSR-Ⅲ 공력특성 및 발사화염 충돌유동에 대한 연구)

  • Kim, In-Seon;Ra, Seung-Ho;Ok, Ho-Nam;Choe, Seong-Uk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.2
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    • pp.98-107
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    • 2002
  • An experimental and numerical study of aerodynamic charateristics of KSR-III and jet impingement on a deflector during launch has been conducted. To investigate aerodynamic characteristics of KSR-III configuration, wind tunnel tests using 6.4% scale model were performed by 4x4 feet ADD trisonic wind tunnel on the Mach number range of 0.4~3.8. Solutions of Three dimensional Euler equations were also obtained and compared with test result. For the study of KSR-III jet impingement flowfield on a deflector during launch operation, unsteady computation using CFD-FASTRAN was performed.

Novel Method for Numerical Analyses of Tapered Geometrical Non-linear Beam with Three Unknown Parameters (3개의 미지변수를 갖는 변단면 기하 비선형 보의 수치해석 방법)

  • Lee, Byoung Koo;Oh, Sang Jin;Lee, Tae Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.1
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    • pp.13-22
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    • 2013
  • This paper deals with a novel method for numerical analyses of the tapered geometrical non-linear beam with three unknown parameters, subjected a floating point load. The beams with hinged-movable end constraint are chosen as the objective beam. Cross sections of the beam whose flexural rigidities are functionally varied with the axial coordinate. The first order simultaneous differential equations governing the elastica of such beam are derived on the basis of the Bernoulli-Euler beam theory. A novel numerical method for solving these equations is developed by using the iteration technique. The processes of the solution method are extensively discussed through a typical numerical example. For validating theories developed herein, laboratory scaled experiments are conducted.

2D Analytical Model to Evaluate Behavior of Pipeline in Lowering Phase (자원 이송용 파이프라인의 내리기 단계에서 평면 거동 평가를 위한 해석 모델)

  • Jung Suk Kim;Ki Yong Ann
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.11 no.4
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    • pp.467-475
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    • 2023
  • To ensure the safety of the pipeline against large deformation of the pipeline during lowering construction, the analysis for pipeline becomes emphasized. The FE analysis has a lower efficiency at calculating time, while it could be obtained high accuracy. In this paper, a reasonable analytical model for analysis of pipeline is proposed during lowering-in. This analytical model is partitioned considering the geometrical characteristics and modeled as two parameters Beam On Elastic Foundation and Euler-Bernoulli beam considering the boundary condition. This takes into account the pipeline-soil interaction and the axial forces acting on the pipeline. Previous model can only be applied to standardized conditions, whereas the proposed model defined as Segmented Pipeline Model can be considered for the majority of construction conditions occurred during lowering-in. In addition, minimized assumptions and segmented elements lead to improve the convenience and applicability of modeling. Nevertheless, the model shows accurate results compared to the FE model. Accordingly, it is expected that it will be used efficiently for configuration management as well as safety assessment of pipeline during lowering-in.

The Transfer Matrix Method for Three-Dimensional Vibration Analysis of Crank Shaft (전달행렬법을 사용한 크랭크축의 3차원 진동해석)

  • 이정윤;오재응
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.152-159
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    • 1997
  • This paper presents a vibration analysis method of crank shaft of six cylinder internal combustion engine. For simple analysis journal, pin and arm parts were assumed to have uniform section. Transfer Matrix Method was used, considering branched part and coordinate transformation part. Natural frequencies, modeshapes and transfer functions of crank shaft were investigated based upon the Euler beam theory: It was shown that the calculated natural frequencies, modeshapes agree well with the existing paper results.

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Development of a Three-Dimensional Euler Solver for Analysis of Basic Contraction Flow (수축부 기초 유동 해석을 위한 삼차원 Euler 방정식 풀개 개발)

  • Kim J.;Kim H. T.
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.8-12
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    • 1997
  • The three-dimensional Euler equations are solved numerically for the analysis of contraction flows in wind or water tunnels. A second-order finite difference method is used for the spatial discretization on the nonstaggered grid system and the 4-stage Runge-Kutta scheme for the numerical integration in time. In order to speed up the convergence, the local time stepping and the implicit residual-averaging schemes are introduced. The pressure field is obtained by solving the pressure-Poisson equation with the Neumann boundary condition. For the evaluation of the present Euler solver, numerical computations are carried out for three contraction geometries, one of which was adopted in the Large Cavitation Channel for the U.S. Navy. The comparison of the computational results with the available experimental data shows good agreement.

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A STUDY ON THE UNSTEADY AERODYNAMIC ANALYSIS OF HELICOPTER ROTOER USING EULER EQUATIONS AND FREE WAKE METHOD (오일러 방정식과 자유 후류법을 이용한 헬리콥터 로터의 비정상 공력 해석 연구)

  • Lee, Jae-Hun;Wie, Seong-Yong;Kwon, Jang-Hyuk;Lee, Duck-Joo;Kim, Da-Hee
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.116-119
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    • 2007
  • In this study the unsteady aerodynamic analysis of a hovering helicopter rotor is performed. For the accurate flow field analysis Euler equations and the free wake method are coupled. The Euler equations are solved to find the pressure distribution around the rotor, and free wake method is used to give the boundary condition for the solution of Euler equations. Also, vortex strength and wake motion after the rotor are simulated by the free wake method. The accuracy of the present method is compared with the source sink model. The present method is applied to the hovering Caradonna-Tung rotor and compared with experimental results.

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