• Title/Summary/Keyword: Lagrange 방정식

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Flutter Analysis of 2D Airfoil with Gurney Type Flap (Gurney 플랩이 장착된 2차원 익형의 플러터 해석)

  • Bae, Eui-Sung;Joo, Wan-Don;Lee, Dong-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.1
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    • pp.18-23
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    • 2006
  • Flutter analysis of NACA 0012 with Gurney flap was conducted in time domain. Flutter analysis was performed with a conjunction of two governing equations; one is 2D Navier-Stokes equation and, the other is Lagrange equation of two dimensional plunge & pitch model. Both governing equations were coupled by loose-coupling method. From the computed results, the effect of Gurney flap was concluded to move the flutter boundary of NACA 0012 downward, which means flutter occurs at lower speed than that of NACA 0012. Although flutter boundary of gurney flap was above the safety margin when mach number was lower than 0.85, there might be a possibility of crossing the safety margin when mach number was between 0.85 and 0.9. For safety, the effect of gurney flap needs to be investigated carefully before using it.

Simulation of Scooped Swing in High Bar Using Lagrange's Method : A Case Study (라그랑지 방법을 이용할 철봉 몸굽혀 휘돌기 동작의 시뮬레이션)

  • Hah, Chong-Ku
    • The Journal of the Korea Contents Association
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    • v.7 no.4
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    • pp.234-240
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    • 2007
  • The purpose of this paper was to architecture optimal model of the scooped swing in high bar. The scooped swing was modeled to the double pendulum and was simulated with the Lagrange's equation of motion. Lagrange's method based on a energy approaching method was implemented as a equation of motion. The subject was a national man-gymnast(age 18yrs, height 153 cut mass 48 kg) and the high bar of SPIETH company was used to measure the scooped swing. Qualisys system(six MCU-240 cameras, QTM software)was used to capture data for imaging analysis. The solution of a model and data processing were solved in Mathematica5.0. The results were as follows: First model value of maximum bar displacement was longer than experimental value, that is, 0.02 m. Second, both angular pattern of segment1(HAT) had a increasing curve but curve patterns had a different concave and convex me. Third the experimental value of maximum angular angle of segment2(total leg) had larger than model value, that is, $4^{\circ}$. Conclusively, model parameters were quasi-optimized to obtain a quasi-match between simulated and actual performances. It hopes to simulate a human model by means of integrating musculoskeletal and neuromuscular system in the future study.

Numerical Computation of Vertex Behind a Bluff Body in the Flow between Parallel Plates (평행평판 내의 지주에 의한 와동 유동에 관한 수치해석)

  • 김동성;유영환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1163-1170
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    • 1992
  • A computer program was developed to analyze the two-dimensional unsteady incompressible viscous flow behind a rectangular bluff body between two parallel plates. The Peaceman-Rachford alternating direction implicit numerical method and Wachspress parameter were adopted to solve the governing equations in vorticity-transport and stream function formulation. The steady state flow and the vortex flow behind a rectangular bluff body in a chemical were investigated for Reynolds numbers of 200 and 500. The vortex shedding was generated by a physical pertubation numerically imposed at the center of the flow field for a short time. It was observed that the perturbed flow became periodic after a transient period.

Dynamic Analysis of a Flexible Windshield Wiper Mechanism (탄성 앞창닦기 기구의 동력학적 해석)

  • 유완석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.4
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    • pp.450-455
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    • 1986
  • 본 연구에서는 직교좌표계 및 Euler-Lagrange 방법을 이용하여 유도된 기본 방정식을 사용하여 앞창닦기기구(windshield wiper mechanism)의 동력학적 해석을 하 였다.모우터가 일정한 각속도로 회전하고 있는 경우와, 토오크가 각속도의 크기에 따라 변화하는 경우 각각에 대해서 강체로 해석할 때와 탄성체로 가정할 때의 해석결 과를 비교하였다.

A Study on the modeling for the control of magnetic levitation stage (자기부상 스테이지의 제어를 위한 모델링에 관한 연구)

  • 남택근;김용주
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.7
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    • pp.862-871
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    • 2003
  • In this paper, we addressed a modeling for the magnetic levitation stage. This planar magnetic levitator employs four permanent magnet liner motors. Each motor generates vertical force for suspension against gravity, as well as horizontal force for propulsion. Therefore. this stage can generate six degrees of freedom motion by the combination of forces. We derived a mechanical dynamics equation using Lagrangian method and electromechanical dynamics equation by using Co-energy method. Based on the derived dynamics, we can analyze the stage motion that is subject to the input currents and forces.

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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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.

A Formulation of the Differential Equation on the Equations of Motion and Dynamic Analysis for the Constrained Multibody Systems (구속된 다물체 시스템에 대한 운동 방정식의 미분 방정식화 및 동역학 해석)

  • 이동찬;이상호;한창수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.1
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    • pp.154-161
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    • 1997
  • This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

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Dynamic Behavior of Bridges for High-Speed Train Considering Braking Function of TGV-K (TGV-K의 제동함수를 고려한 고속철도 교량으 동적거동)

  • 곽종원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.4
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    • pp.117-123
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    • 2000
  • 열차와 교량의 3차원 모델링을 사용한 고속철도 교량의 동적해석이 수행되었다. 철도교의 모델인은 판요소와 3차원 뼈대요소로 모델링되었다. 상판과 주형 사이의 offset은 기하학적인 구속조건을 사용하여 고려하였다. 본 연구에서 사용된 고속철도는 2량의 동력차와 2량의 모터차와 16량의 객차로 구성되어 있다. 관절형 대차로 연결되어 전체 열차계의 운동방정식은 Lagrange 방정식을 이용하여 유도되었으며, 차제와 대차 그리고 자축의 3차원인 운동을 고려하였다. 이동 열차에 의한 교량의 응답은 predictor-corrector 반복법에 의한 Newmark-$\beta$ 법에 의해서 그 해가 구해진다. 매개변수해석에 의해서 열차의 이상화방법, 열차의 제동, 철도교량의 주행면 조도에 의한 영향이 고찰되었다.

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A study on modeling and construction of Field Robot (Field Robot의 모델링과 구축에 관한 연구)

  • 임태형;양순용;이병룡;안경관;김승수
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.481-486
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    • 2002
  • Automation of Field Robot has many advantages for efficiency and convenience. In this paper, mathematical equation of field robot is established and automation system is constructed. Hydraulic and Dynamic equation of field robot are constructed in this paper. Inputs of system are angle data from each link (boom, arm, bucket, swing) and pressure data from in, out port of each cylinder. Outputs of system are voltage into electo-proportional valve.

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