• 제목/요약/키워드: Motion equations

검색결과 2,315건 처리시간 0.028초

A New Method of determining Initial Conditions for Satellite Formation Flying

  • Lim, Hyung-Chul;Bang, Hyo-Choong;Park, Kwan-Dong;Park, Pil-Ho
    • International Journal of Aeronautical and Space Sciences
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    • 제4권2호
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    • pp.1-8
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    • 2003
  • Satellite formation flying is the placing micro-satellites with the same mission into nearby orbits to form a cluster. Clohessy-Wiltshire equations are used to describe the relative motion and control strategies between satellites within a cluster, which are known as Hill's equations. Even though Hill's equations are powerful in determining initial conditions for the satellite formation flying, they can not accurately express the relative motion under J2 perturbation. Some methods have been developed for the determination of initial conditions to avoid limits of Hill's equation. This paper gives a new method of determining initial conditions using mean elements. For this research mean elements were transformed to osculating elements using Brouwer's theory and the orbit was propaeated with the consideration of J2-J8 to get a relative position. The results show that satellites within a cluster are maintained in the desired boundary for long period and the method is effective on a fuel saving for satellite formation flying.

모형기차의 구동부 설계를 위한 동역학적 성능해석 (Analysis of Dynamic Performance of Model Tranis for Their Drive Train Design)

  • 김석태;윤순형;탁태오
    • 한국정밀공학회지
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    • 제18권3호
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    • pp.99-106
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    • 2001
  • Model trains should have very similar motion characteristics to real trains in order to provide realistic feeling to their operators. Main purpose of dynamic analysis of model trains is to predict velocities in straight and circular tracks and estimate stopping distance after power shut off. Equations of motion for a model train are derived that relates velocity, traction, rolling resistance, and pulling force. Also, energy equations for calculating stopping distance after power shut off are derived. Experiments with model trains are preformed to measure velocity, rolling resistance, slip, and stopping distance. The results are compared with the prediction based on the equations of motion, and they showed good agreement. It can be concluded that the prediction is more accurate when the slip between wheel and rail is accounted for. The analysis procedures can be applied to determining various design factors in model trains.

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모달 파라미터를 이용한 동적 시스템의 운동 방정식 구성 (Constructing Equations of Motion for a Dynamic System from Modal Parameters)

  • 황우석
    • 한국항공우주학회지
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    • 제35권1호
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    • pp.40-45
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    • 2007
  • 구조물의 모달 해석 또는 모달 시험은 구조물의 동적 특성을 나타내는 모달 파라미터들을 구하는 과정이다. 모달 파라미터에는 고유 진동수, 감쇠율, 진동 모드의 세 가지 값들이 있다. 본 연구에서는 시스템의 개발과정에서 당연히 수행되는 모달 해석의 결과인 모달 파라미터를 활용하여 시스템 방정식을 구하는 방법에 대한 연구를 수행하였다. 상태 방정식의 고유치와 고유 벡터의 상관관계로부터 물리적 시스템 행렬인 질량, 감쇠, 강성 행렬을 각각 구하는 방법을 개발하였다. 간단한 질량-스프링-댐퍼 시스템과 외팔보에 대한 수치 예제를 통하여 개발된 방법의 유용성과 정확도를 검증하였다

회전원판과 스프링-댐퍼를 가진 질점계의 상호작용에 의한 불안정성 (Instability caused by interaction between a rotating disk and a mass-spring-damper system)

  • 김창부;한덕호
    • 대한기계학회논문집A
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    • 제21권12호
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    • pp.2038-2046
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    • 1997
  • In this paper the instability of the system which has a disk and a mass-spring-damper system interacting through a medium having stiffness and damping is analyzed. To solve the equations of motion of this systme, it is assumed that the solution consists of the eigenfunctions which are the products of the Bessel functions and sine or cosine functions. The former represents the radial characteristics of the disk and the latter represents the circumferential characteristics. Using this assumed solution and the orthogonality of the eigenfunctions, the equations of motion can be transformed into a set of equations of motion with variables dependent only on the time. After this set is changed to the state equation, the eigenvalue problem can be made. Once the eigenvalues are calculated according to the angular velocity of the disk, the dynamic characteristics ofthis system is obtained. Because the thickness of the disk and the element characteristics of the mass-spring-damper system have important effects on the stability of the system, it will be understood how these factors affect the system and then a method to ameliorate the stability of the system with a disk will be presented.

정지홈과 회전홈을 갖는 저널베어링의 안정성 평가 (Stability analysis of the rotating and stationary grooved journal bearings)

  • 이민호;이지훈;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.141-146
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    • 2013
  • This research investigates the stability analysis for the rotating and the stationary grooved journal bearing. The dynamic coefficients of the journal bearing are calculated by using FEM and the perturbation method. When journal bearing is in whirling motion, the dynamic coefficients have time-varying components as a sine wave due to the reaction force of oil film toward the center of journal even in the steady state. The solutions for the equations of motion can be assumed as the Fourier series expansion. The equations of motion can be rewritten as the linear algebraic equations with respect to the Fourier coefficients. Then, stability of the grooved journal bearing can be calculated by Hill's infinite determinant. The periodic function of dynamic coefficients is derived using Fourier Fast Transform(FFT).The stability of journal bearing is determined as rotating speed increases and the stability of rotating grooved journal bearing is compared and discussed with the stability of stationary grooved journal bearing.

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유한요소법과 운동방정식의 결합에 의한 운동체의 특성 해석 (Analysis of Moving Body Characteristics by Coupling Finite Element Method and Motion Equation)

  • 김영선;이준호;이기식;이복용
    • 한국자기학회지
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    • 제6권5호
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    • pp.281-286
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    • 1996
  • 전기 기계의 운동 특성을 정확히 해석하기 위해서는 해석모델의 전자장방정식과 운동방정식이 함께 고려되어야 한다. 본 논문에서는 자장내에서 두 개의 스프링에 의해 진동 운동을 하는 도체를 해석함에 있어 순차적인 결합방법을 채책하였다. 한 시점에서 속도가 주어지면 전자장해석 및 유도전류 계산은 유한요소법을 이용하였고, 그때마다 전자력을 게산하였다. 또한 전자장방정식이 풀린다음 4차 runge-kutta 미분방정식 해법을 이용하여 운동방정식과 결합하였다. 위의 과정을 순차적으로 계속 반복함으로써 시간에 대한 위치, 속도, 유도전류 및 전자력을 알아내어 운동체의 운동특성을 알아보았다. 계산된 결과는 에너지보존 법칙에 적용하여 제안한 순차적인 결합방법의 유용성을 검증하였다.

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유체를 수송하는 반원형 곡선관의 면내운동에 대한 비선형 진동 해석 (Non-linear Vibration Analysis for the In-plane Motion of a Semi-circular Pipe Conveying Fluid)

  • 정두한;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.677-682
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    • 2003
  • The non-linear dynamic characteristics of a semi-circular pipe conveying fluid are investigated when the pipe is clamped at both ends. To consider the geometric non-linearity for the radial and circumferential displacements, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bernoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived for the in-plane motions of the pipe, considering the fluid inertia forces as a kind of non-conservative forces. The linear and non-linear terms in the governing equations are compared with those in the previous study, and some significant differences are discussed. To investigate the dynamic characteristics of the system, the discretized equations of motion are derived form the Galerkin method. The natural frequencies varying with the flow velocity are computed fen the two cases, which one is the linear problem and the other is the linearized problem in the neighborhood of the equilibrium position. Finally, the time responses at various flow velocities are directly computed by using the generalized- method. From these results, we should to describe the non-linear behavior to analyze dynamics of a semi-circular pipe conveying fluid more precisely.

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경량 델타로봇의 모델링 및 모션 제어 (Modeling and Motion-control for a Light-weight Delta Robot)

  • 김성일;홍준호;신동원
    • 한국기계가공학회지
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    • 제17권3호
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    • pp.155-162
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    • 2018
  • Delta robots are usually used for industrial manufacturing, but heavy weight and expensive price have been obstacles to rapid propagation of robots in the field. The goal of this research is to make light-weight and price-competitive delta robots. To reduce the weight, we used plastic material for the arm link, and to reduce the price, we used a step-motor as the main actuator. First we formulated the equations of inverse kinematics for the designed delta robot and then verified these equations by using multibody-dynamics simulation. An algorithm of motion control was developed and applied to the motion-processing unit using a timer-interrupt of 8 milliseconds. Finally, we tested the performance of the new delta robot by checking its control of motion along line segments.

틸팅 시뮬레이터의 운동판 설계에 관한 연구 (Development for Motion Evaluation of Tilting Simulator)

  • 송용수;김정석;이수길;한성호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2631-2633
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    • 2004
  • This paper describes the construction of a half sphere screen driving tilting simulator that can perform six degree-of-freedom( DOF) motions simmulator to a tilting train. The mathematical equations of Tilting Train dynamics are first derived from the 6-DOF bicycle model and incorporated with the bogie. carbody, and suspension subsystems. The equations of motion are then programmed by visual C++ code. To achieve the simulator functions. a motion platform that is constructed by six electric-driven actuators is designed. and its kinetics/inverse kinetics analysis is also conducted. Driver operation signals such as carbady angle, accelerator. and tilting positions are measured to trigger the Tilting dynamics calculation and further actuate the cylinders by the motion platform control program. In addition. a digital PID controller is added to achieve the stable and accurate displacements of the motion platform. The experiments prove that the designed simulator is adequate in performing some special rail mad driving situations discussed in this paper.

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Hough 영역 변환을 이용한 운동 변화량 추정 (Motion Parameter Estimation Using Hough Space Transform)

  • 진성일;김종우
    • 대한전자공학회논문지
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    • 제27권11호
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    • pp.92-102
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    • 1990
  • 본 논문은 2-D 영상의 운동 변화량(크기, 회전, 이동)을 추정할 수 있는 새로운 방법을 제안하였다. 이 방법은 입력 영상내의 직선 성분을 Hough 영역에서 한 점으로 대응시키는 Hough 변환 알고리듬을 사용하여 입력 영상에서 크기 변화가 있는 물체의 운동과 그 Hough space상의 특징점들의 변화를 나타내는 운동 변화량들에 대한 관계식을 유도한다. 유도한 관계식은 크기, 회전, 이동을 가지고 모든 입력 영상에 대해서 운동 변화량을 효율적으로 계산할 수 있다. 제안된 관계식을 항공기 영상에 적용하여 운동 변화량을 비교적 정확히 측정하였다. 또한 제안된 방식이 잡음이 섞인 영상에 대해서도 큰 오차 없이 추정 결과를 나타내고 있음을 보인다.

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