• 제목/요약/키워드: generalized coordinates

검색결과 115건 처리시간 0.035초

저자유도 조인트의 구속조건 생성을 위한 파라메트릭 일반좌표 이용 (Use of Parametric Generalized Coordinates for Kinematic Constraint Formulation of Low Degree-of-Freedom Joints)

  • 이정근;이철호;배대성
    • 대한기계학회논문집A
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    • 제37권10호
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    • pp.1261-1267
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    • 2013
  • 다물체 기계시스템에서 핀조인트나 병진조인트 같은 저자유도 조인트는 고자유도 조인트보다 훨씬 빈번하게 사용된다. 저자유도 조인트에 대한 기구학적 구속조건식을 효율적이고 체계적으로 공식화하기 위해, 본 논문은 구속조건식을 표현하는 새로운 접근방법으로 파라메트릭 일반좌표를 이용한다. 제안된 방법에서는 직교좌표와 파라메트릭 일반좌표를 혼합하여 조인트 구속조건을 생성하는데, 이는 구속조건에 대한 자코비안과 같은 구속조건 편미분행렬을 매우 간단하게 표현되도록 하므로써 공식의 복잡성과 계산시간을 단축시킨다. 제안된 방법은 암시적 적분기를 바탕으로 실린더-크랭크시스템에서 검증되었다.

A new derivation method of the generalized Jacobian matrix of a space robot and its application to a multi-robot system

  • Kobayashi, Jun;Nakatsuka, Keiichi;Katoh, Ryozo;Ohkawa, Fujio
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.799-802
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    • 1997
  • This paper deals with a new method to derive the Generalized Jacobian Matrix of a space robot. In a conventional method to derive the Generalized Jacobian Matrix, generalized coordinates select Joint angles and a space robot body's position and attitude angle. But, in this paper, we select position and attitude angle of the end-effector or the handled floating object as generalized coordinates. Then, we can derive the Generalized Jacobian Matrix of the system which consists of several space robots and a handled floating object. Moreover control methods operated by only one space robot can be easily extended to the cases of cooperation task by several space robots. Computer simulations show that the Generalized Jacobian Matrix derived here is effective.

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좌표계 전환기법을 활용한 모바일 로봇의 기구학 모델링 (Kinematic Modeling of Mobile Robots by Transfer Method of Generalized Coordinates)

  • 김도형;김희국;이병주
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.44-44
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    • 2000
  • Firstly, kinematic model of various type of wheels which includesskidding and skidding friction are presented. Tend, the transfer method of generalized coordinates which is useful to model the parallel mechanisms, can be applied to mobile robot by including such friction terms. Particularly, by appling the modeling method to mobile robot consisting of two conventional wheels and one caster wheel, forword/reverse kinematic modeling could be obtained without using pseudoinverse solutions.

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삼각형 조리개의 프라운호퍼 회절 (The Fraunhofer Diffraction for the Triangle Stop)

  • 고영재;김덕훈;김진구
    • 한국안광학회지
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    • 제4권1호
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    • pp.89-91
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    • 1999
  • 프레넬-키르히호프(Fresnel-Kirchhoff)의 적분공식을 이용하여 삼각형 조리개의 회절상을 구하였다. 일반화 좌표(generalized coordinates)에서 적분변수들을 취급하였으며 사각형이나 원형과는 달리 삼각형의 무게 중심은 좌표의 원점을 중심으로 좌우 대칭이 아니다. 따라서 최종 적분값은 사각형이나 원형의 경우처럼 간결한 표현으로 나타나지 않았다.

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트랙 좌표계를 이용한 철도차량 운동 해석 (Dynamic analysis of railway vehicle by using track coordinates)

  • 강주석
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 춘계학술대회 논문집
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    • pp.818-823
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    • 2011
  • 일반적인 강체의 동역학 해석방법은 지면에 고정된 좌표계에서 강체의 절대적 병진 위치좌표와 회전 각도 좌표의 6개 좌표계를 이용하여 기술된다. 그러나 철도차량의 경우 트랙의 중심과 같이 이동하는 트랙 좌표계에서 강체의 운동을 기술하는 방법이 이용될 수 있다. 트랙 좌표계는 트랙을 기준으로 강체의 운동이 기술되므로 트랙 좌표의 변위의 구속조건이 쉽게 설정될 수 있는 장점이 있다. 본 연구에서는 트랙 좌표계를 이용한 철도차량 운동방정식의 유도 방법과 시뮬레이션 결과를 제시하고자 한다.

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일정 일반속력으로 구동되는 다물체계의 정상상태의 평형해석 (Steady-state Equilibrium Analysis of a Multibody System Driven by Constant Generalized Speeds)

  • 최동환;박정훈;유홍희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.465-470
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    • 2001
  • This paper presents an algorithm which seeks steady-state equilibrium positions of constrained multibody systems driven by constant generalized speeds. Since the relative coordinates are employed, the constraint equations at cut joints are incorporated into the formulation. The proposed algorithm leads to nonlinear equations that need to be solved iteratively. This algorithm should satisfy both types of conditions: the force equilibrium equations and the kinematic constraint equations. To verify the effectiveness of the proposed algorithm, two numerical examples are solved and the results are compared with those of a commercial program. This method, compared to the conventional method of using dynamic analysis, has the advantage of computational efficiency and stability.

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일반좌표계 변환을 이용한 헤링본 그루브 베어링의 해석 (Analysis of Herringbone Grooved Journal Bearing Using Generalized Coordinate Transformation)

  • 박상신;김영진;유송민
    • Tribology and Lubricants
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    • 제16권6호
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    • pp.432-439
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    • 2000
  • The present work is an attempt to calculate the steady state pressure and perturbed pressure of herringbone grooved journal bearings. A generalized coordinate system is introduced to handle the complex bearing geometry. The coordinates are fitted to the groove boundary and the Reynold's equation is transformed to be fitted to this coordinate system using the Gauss divergence theorem. This method makes it possible to deal with an arbitrary configuration of a lubricated surface. The caharacteristics of finite herringbone groove journal bearing are well calculated using this method.

미세구동을 위한 3자유도 병렬식 매니퓨레이터 개발에 관한 연구 (Development of Three D.O.F. Parallel Manipulator for Micro-motion)

  • 이계영;한창수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.1067-1070
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    • 1995
  • In this paper, we have treated the modeling and development of three degree of freedom parallel manipulator for micromotion based on the Stewart platform type parallel structure. the kinematic modeling was derived from the relation between base coordinate and platform anr the dynamic modeling was from the method of Kinematic Influence Coefficients(KIC) and transferring of the generalized coordinates. Using this method, we presented the method to choose the actuator and joint by investigating the actuating forces needed when the manipulator moves along the given trajectory. In the end, the prototype manipulator was developmented and evaluated.

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원형관에서의 음해법을 이용한 차원 3차원 비압축성 부정류 흐름에 관한 수치모의 (Three Dimensional Incompressible Unsteady Flows in a Circular Tube Using the Navier-Stokes Equations With Beam and Warming Method)

  • 박기두;이길성;성진영
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2008년도 학술발표회 논문집
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    • pp.1624-1629
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    • 2008
  • The governing equations in generalized curvilinear coordinates for a 3D pulsatile flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. The computational technique implements the implicit approximate factorization method of the Beam and Warming method (1978), which is the extension of the Alternate Direction Implicit (ADI) method. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Rindt & Steenhoven, 1991).

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확장된 좌표계 전환기법에 의한 모바일 로봇의 기구학 모델링 (Kinematic Modeling of Mobile Robots by Transfer Method of Augmented Generalized Coordinates)

  • 김희국;김도형;이병주
    • 제어로봇시스템학회논문지
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    • 제8권3호
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    • pp.233-242
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    • 2002
  • A kinematic modeling method is proposed which models the sliding and skidding at the wheels as pseudo joints and utilizes those pseudo joint variables as augmented variables. Kinematic models of various type of wheels are derived based on this modeling method. Then, the transfer method of augmented generalized coordinates is applied to obtain inverse and forward kinematic models of mobile robots. The kinematic models of five different types of planar mobile robots are derided to show the effectiveness of the proposed modeling method.