• Title/Summary/Keyword: Euler 방정식

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Investigation of Characteristics of Second Throat Exhaust Diffuser for Simulating High-Altitude of Liquid Rocket Engine According to Design Parameter (액체로켓엔진 고고도 모사용 2차목 초음속 디퓨져 설계변수에 따른 특성 고찰)

  • Moon, Yoon-Wan;Lee, Eun-Seok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2011.11a
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    • pp.970-972
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    • 2011
  • The vacuum chamber pressure was investigated according to the second throat exhaust diffuser entrance diameter. The sizes of diffuser entrance were changed three cases, and each case was computed by using CFD. Also in order to relatively compare the vacuum chamber pressure the Euler equation was adopted. According to the results, as the size of diffuser entrance was increased it was observed that the vacuum chamber pressure was decreased.

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A New Dynamic Analysis of 6-3 Stewart Platform Manipulator (6-3 스튜워트 플랫폼 운동장치의 운동방정식 해석)

  • Kim, Nak-In;Lee, Chong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.11
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    • pp.1820-1828
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    • 2001
  • The dynamics of the 6-3 Stewart platform manipulator (SPM) is newly derived based on the kinematic relations particularly developed fur the SPM. The essence of the analysis is to deal with three subsystems of the SPM, each consisting of the command and feedback line links associated with two joined neighboring actuators. The dynamics of the command and feedback line links are first formulated using Lagrange and Newton-Euler method and then combined to derive the dynamic equations of motion fur the SPM. The derived nonlinear equations of motion are so computationally effective that it can be easily applied to real-time high-speed tracking control of 6-3 SPM.

Numerical Analysis of Large Deflections of Cantilever Beams (캔틸레버 보의 과대처짐 해석)

  • Lee, Byoung Koo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.1-7
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    • 1990
  • A method is developed for solving the elastica of cantilever beam subjected to a tip point load and uniform load. The Bernoulli-Euler differential equation of deflected beam is used. The Runge-Kutta method and the Regula Falsi method are used to perform the integration of the differential eqution and to determine the horizontal deflection, respectively. The horizontal and vertical deflections of the free end, and the free-end rotations are calculated for a range of parameters representing variations in tip point load and uniform load. All results are presented in nondimensional forms. And some typical elastic are also presented.

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Buckling oad and Post-buckling Behavior of Tapered Column with Constant Volume and Both Clamped Ends (일정체적 양단고정 변단면 기둥의 좌굴하중 및 후좌굴 거동)

  • 이병구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.5
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    • pp.112-122
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    • 1999
  • 이 논문은 일정체적을 갖는 양단고정 변단면 기둥의 좌굴하중 및 후좌굴 거동에 관한 연구이다. 기둥의 변단면으로는 직선형, 포물선형, 정현의 선형을 갖는세 가지 변단면을 채택하였다. Bernoulli-Euler 보 이론을 이용하여 압축하중이 작용하여 좌굴된 기둥이 정확탄성곡선을 지배하는 미분방정식을 유도하였다. 유도된 미분방정식을 Runge-Kutta 법과 REgula-Falsi법을 이용하여 수치해석하였다. 수치해석의 결과로 좌굴하중, 좌굴기둥의 평형경로 및 정확탄성곡선을 산출하였다. 또한 좌굴하중-단면비 곡선으로부터 최강기둥의 좌굴하중과 단면비를 산출하였다.

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Accuracy analysis of a hydroelastic model of a floating beam (부유식 유탄성 보 모델의 수렴성 연구)

  • Kim, Ki-Tae;Lee, Phill-Seung;Park, Kwang-Chun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.631-634
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    • 2011
  • 본 연구에서는 규칙 파랑 중에 있는 부유식 구조물의 유탄성 거동을 해석 하고, 수치모델의 수렴성을 살펴본다. 부유식 구조물은 보로 모델링 하며, 유체는 이상유체로 가정하여 문제를 해결한다. 보 모델의 경우 Euler-Bernoulli 보 모델과 Timoshenko 보 모델로 나누어 그 특성을 비교 해 본다. 문제의 해석법에 있어서 부유식 구조물의 경우는 유한요소법을, 유체의 경우는 경계요소법을 이용하여, 상호 연성된 방정식을 이끌어 낸다. 상호 연성된 방정식을 토대로 Euler-Bernoulli 보 모델과 Timoshenko 보 모델의 거동 특성을 살펴보고 제시된 수치 모델을 기준으로 수렴성을 분석해 본다.

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A study on dynamic motion equations for a robot manipulator (로보트 팔의 제어를 위한 Dynamics 방정식들에 관한 연구)

  • 김승배;오세정;박인갑;김형래
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.52-57
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    • 1987
  • In this paper, it is dealt with the dynamic motion equations for a robot arm. Four kinds of the dynamic equations which are the Lagrange-Euler equations, the Recursive L-E equations, the Newton-Euler equations and the improved N-E equation are derived on robot PUMA 600. Finally the algorithms on these equations are programmed using PASCAL. and are compared with each other. As the results, it is found that the improved N-E equations has the most fastest execution time among the equations and can be used in real time processing.

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Vibration Analysis of the Beam Structure with a Moving Mass (이동물체에 의한 보 구조물의 진동 해석)

  • 이우식;임강민
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.57-64
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    • 1995
  • This paper introduced a simple numerical analysis algorithm for the calculation of the dynamic responses of the beam structure with a moving mass. The dynamic equation of motion of the Bernoulli-Euler beam is derived by considering the moving mass as a moving particle, and the dynamic equation of motion is transformed into an integro-differential equation by use of the structural influence function. The numerical solutions of the integro-differential equation are obtained by the modal analysis approach, and compared with those cited from well-known references. The proves that the numerical analysis algorithm proposed herein provide very reliable results, and thus it can be utilized in the design analysis of the beamlike structures exited by a mass which is traveling on it.

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A Numerical Simulation of Ship Waves by Finite Difference Method (유한차분법에 의한 임의 선체주위의 조파 Simulation)

  • Kyu-Jong Cho;Kang-Hoon Lee;Young-Gill Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.77-94
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    • 1991
  • A finite difference method based on MAC method is used to simulate free-surface waves around a ship. Euler equations and continuity equation are differentiated using the forward time and central space, and solved by time marching scheme. By the employment of variable mesh system in horizontal and vertical direction, the numerical accuracy of wave simulation results is grossly improved. To verify the improvement of numerical accuracy, some numerical simulations are accomplished for Wigley, Series 60($C_{b}$=0.6) and a bulk carrier model. The computational results are compared to the various experimental data and show good agreements.

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Numerical simulation on propagation of hydrocarbon flame in a deformable tube (변형하는 가스 이송관 내에서 전파하는 탄화수소화염의 수치 해석 모델링)

  • Gwak, Min-Cheol;Yoh, Jai-Ick
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2012.05a
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    • pp.304-308
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    • 2012
  • This paper presents a numerical investigation on propagation of hydrocarbon (ethylene-air mixture) detonation in a deformable copper tube. In this study, we deal with interactions of multi-materials, gas and solid. In gas phase, the model consists of the reactive compressible Navier-Stokes equations and one step chemical reaction. Also we use Inviscid Euler equations in solid. In order to the interface tracking and the determination of boundary values, our model handle level-set and ghost fluid method. Through the numerical simulation results, we identify generations of expansion waves and interferences by the wall deformation. In addition, we predict the minimum copper tube thickness that ensures safety under an incident detonation.

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Evaluation of Nozzle's Combustion Instability Suppression Effect by Linearized Euler Equation (선형 오일러 방정식을 이용한 노즐의 연소불안정 감쇠 효과 평가)

  • Kim, Junseong;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.6
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    • pp.1-10
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    • 2019
  • The wave motion inside the nozzle is known as one of the major damping elements of the rocket's combustion instability by it's aeroacoustic effects that result from the flow passage through the nozzle throat. These effects can be quantitatively evaluated by the nozzle admittance. In this study, one-dimensional linearized Euler equation was adopted to calculate the nozzle admittance, and trend analysis was performed depending on the nozzle's main design variables. As a result, when nozzle converging part shortens, it is verified that the frequency dependency of the nozzle admittance is decreased due to the widened frequency range with lowered longitudinal nozzle admittance. Also, admittance estimation using the short nozzle theory is not appropriate when the first tangential mode of the pressure perturbation arises.