• 제목/요약/키워드: KINEMATICS

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산업용 FANUC robot의 kinematics와 inverse kinematics에 대한 연구 (A study on kinematics and inverse kinematics of industrial FANUC robot)

  • 박형준;한덕수;이쾌희
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.551-556
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    • 1991
  • This paper deal with the solution of kinematics and inverse kinematics of industrial FANUC robot by the bisection method with IBM PC 386. The inverse kinematics of FANUC robot cannot be solved by the algebraical method, because arm matrix T$_{6}$ is very complex and 6-joint angles are associated with the position and the approach of end-effector. Instead we found other 5-joint angle by an algebraical method after finding .theta.$_{4}$ value by a bisection method.d.

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구속조건(사면체)을 사용한 6자유도 병렬 매니퓰레이터의 정기구학의 단순화 해석 (Simplex Analysis of the Forward Kinematics of 6-Degree-of-Freedom Parallel Manipulators Using Constraints with the Closed-loop Kinematics(Tetrahedron))

  • 송세경;권동수
    • 제어로봇시스템학회논문지
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    • 제6권7호
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    • pp.559-567
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    • 2000
  • This paper proposes simple and practical methods in order to overcome complex formulation and heavy computational burden of the forward kinematics of 6 앨 3-6 type parallel manipulators. Three ap-proaches for the forward kinematics are presented : one extra sensor a modified structure and novel numerical method. The proposed methods are applied to the forward kinematics of a new 6 앨 parallel manipulator with special geometry that has three internal links three external links and a moving platform of a cone shape. The proposed methods use three tetrahedrons for finding the position and orientation vector of the moving platform. The main advantages of the appraches using tetrahedrons are to abbreviate the formulation to easily find so-lutions of the forward kinematics and to be able to practically control of the manipulator in real time.

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기하학적인 방법을 이용한 3 Rotary 형식 5축 가공기의 후처리 방법 (A Post-processing Method for 3 Rotary Type 5-axis Machines using Geometric Method)

  • 윤재득;정융호;박도현
    • 한국CDE학회논문집
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    • 제14권5호
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    • pp.291-296
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    • 2009
  • This paper presents a post-processing algorithm for 5-axis machines with three rotary axes (3R-2L type). 5-axis machining needs the postprocessor for converting cutter location (CL) data to machine control (NC) data. The existing methods for post-processing use inverse kinematics equations from for-ward kinematics. However in case of 5-axis machines with three rotary axes, the inverse kinematics equations are not induced directly since the forward kinematics equations are non-linear. In order to get the joint values from the forward kinematics equations, previous algorithms use numerical method for the post-processing, which needs searching algorithms with computation time and may result in fail. This paper proposes a geometric method for the post-processing of 3 rotary type 5-axis machines. Our algorithm has three advantages: first, it does not need establishing forward kinematics equations. Second, it is reliable method that eliminates any numerical methods for the inverse kinematics, resulting in the exact solution. Finally, the proposed algorithm can also be applied to 2R-3L type of 5-axis machines.

경쟁기법을 이용한 스튜어트 플랫폼의 순기구학 해석 (The Analysis of the Forward Kinematics Using the Competitive Method in the Stewart Platform)

  • 허성준;이형상;한명철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.255-258
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    • 2001
  • This introduces a improved method of the forward kinematics analysis, which finds the 6DOF motions and velocities from the given six cylinder lengths in the Steward platform. The numerical method(Newton Raphson Mehotd)of the forward kinematics analysises has the disadvantage of the long calculated time. To overcome this, we propose the competitive method that determine a proper initial value. Through the competitive method, we can select a proper initial value so that the calculate time is reduced. therefore we can give the property of the real time process to the forward kinematics analysis. We show the result comparing between general Newton-Raphson method and proposed one. From the result we verify the performance of the proposed method.

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MEURAL NETWORK을 이용한 병렬매니플레이터의 순기구학 해석 (Forward Kinematics Analysis of a Parallel Manipulator Using Neural Network)

  • 이제섭;최병오;조택동
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.224-228
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    • 2000
  • In this paper, the kinematics of the new type of parallel manipulator is studied, and neural network is applied to solve the forward kinematics problem. The parallel manipulator, called a Stewart platform, has an easy and unique solution about the inverse kinematics, however the forward kinematics is difficult to get the solution because of the lack of an efficient algorithm due to its highly nonlinearity. This paper proposes the neural network scheme as an alternative Newton-Raphson method. The neural network is found to improve its accuracy by adjusting the offset of the result obtained.

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A new kinematic formulation of closed-chain mechanisms with redundancy and its applications to kinematic analysis

  • Kim, Sungbok
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.396-399
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    • 1995
  • This paper presents a new formulation of the kinematics of closed-chain mechanisms and its applications to obtaining the kinematic solutions and analyzing the singularities. Closed-chain mechanisms under consideration may have the redundancy in the number of joints. A closed-chain mechanism can be treated as the parallel connection of two open-chains with respect to a point of interest. The kinematics of a closed-chain mechanism is then obtained by imposing the kinematic constraints of the closed-chain on the kinematics of the two open-chains. First, we formulate the kinematics of a closed-chain mechanism using the kinematic constraint between the controllable active joints and the rest of joints, instead of the kinematic constraint between the two open-chains. The kinematic formulation presented in this paper is valid for closed-chain mechanisms with and without the redundancy. Next, based on the derived kinematics of a closed-chain mechanism, we provide the kinematic solutions which are more physically meaningful and less sensitive to numerical instability, and also suggest an effective way to analyze the singularities. Finally, the computational cost associated with the kinematic formulation is analyzed.

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Interpretation Abilities of American and Korean Students in Kinematics Graphs

  • Kim, Tae-Sun;Kim, Ji-Na;Kim, Beom-Ki
    • 한국과학교육학회지
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    • 제25권6호
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    • pp.671-677
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    • 2005
  • Line graphs are powerful tools in conveying complicated relationships and ideas because line graphs show the relationship that exists between two continuous variables. Also, line graphs can show readers the variations in variables and correlate two variables in a two dimensional space. For these reasons, line graphs have a significant role in physics, especially kinematics. To what extent are Korean college and secondary students able to understand kinematics graphs? Is there a difference between American students and Korean students in interpreting kinematics graphs? The TUG-K instrument (Test of Understanding Graphs in Kinematics) was administered to students in both countries. The results show the difference between American students and Korean students by TUG-K objective. Also, the results are discussed in terms of a graph comprehension theory.

2단 평행기구 로봇 암의 실시간 순방향 기구학 해석 (Real-time direct kinematics of a double parallel robot arm)

  • 이민기;박근우
    • 대한기계학회논문집A
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    • 제21권1호
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    • pp.144-153
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    • 1997
  • The determination of the direct kinematics of the parallel mechanism is a difficult problem but has to be solved for any practical use. This paper presents the efficient formulation of the direct kinematics for double parallel robot arm. The robot arm consists of two parallel mechanism, which generate positional and orientational motions, respectively. These motions are decoupled by a passive central axis which is composed of four revolute joints and one prismatic joint. For a set of given lengths of linear actuators, the direct kinematics will find the joint displacements of th central axis from geometric constraints in each parallel mechanism. Then the joint displacements will be converted into the position and the orientation of the end effector of the robot arm. The proposed formulation is decoupled and compacted so that it will be implemented as a real-time direct kinematics. With the proposed formulation, we analyze the motion of the double parallel robot and show its characteristics. Specially, we investigate the workspace in terms of positional space as well as orientational space.

우리나라 대학생들의 운동학 그래프 이해 능력 (Testing undergraduate interpretation of kinematics graphs)

  • 김태선
    • 한국과학교육학회지
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    • 제26권1호
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    • pp.49-57
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    • 2006
  • 그래프는 물리학자들이나 물리교육자들에게는 좋은 의사소통 도구가 되며, 실험세계를 그래프로 보여줄수 있는 정보전달의 기능을 수행하는 것으로 여겨졌다. 따라서 그래프를 작성하고 해석할 줄 아는 능력은 매우 중요하다. 본 연구에서는 운동학 그래프 해석 능력 검사 도구를 이용하여 우리나라 광역시 180명 대학생들의 운동학 그래프 이해 능력을 조사하였다. 우리나라 대학생들은 위치-시간 그래프에서 속도를 결정하거나, 속도-시간 그래프에서 가속도나 변위를 결정하는 기능에서 높은 정답률을 보였으며, 위치-시간 그래프를 속도-시간 그래프로 변환하거나 가속도-시간 그래프로 변환하는 기능에서 가장 낮은 정답률을 보였다. 또한 그래프와 관련된 지문을 연결하는 기능도 다른 기능들에 비하여 비교적 낮은 정답률을 보였다.