• Title/Summary/Keyword: Parallel kinematic

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Optimal Design of a New Rolling Mill Based upon Stewart Platform Manipulator : Maximization of Kinematic Manipulability (병렬구조 신 압연기의 최적설계 : 조작성 및 제어성능의 최대화)

  • Hong, Geum-Sik;Lee, Seung-Hwan;Choe, Jin-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.9
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    • pp.764-775
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    • 2002
  • A kinematic and dynamic optimal design of a new parallel-type rolling mill based upon Stewart platform manipulator is investigated. To provide sufficient degrees-of-freedom in the rolling process and the structural stability of each stand, a parallel manipulator with six legs is considered. The objective of this new parallel-type rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of the rolls, and tension of the strip. By splitting the weighted Jacobian matrices Into two parts, the linear velocity, angular velocity, force, and moment transmissivities are analyzed. A manipulability measure, the ratio of the manipulability ellipsoid volume and the condition number of a split Jacobian matrix, is defined. Two kinematic parameters, the radius of the base and the angle between two neighboring Joints, are optimally designed by maximizing the global manipulability measure in the entire workspace. The maximum force needed in the hydraulic actuator is also calculated using the structure determined through the kinematic analysis and the Plucker coordinates. Simulation results are provided.

Kinematic Analysis and Implementation of a Spherical 3-Degree-of-Freedom Parallel Mechanism (구형 3자유도 병렬 메커니즘의 기구학 해석 및 구현)

  • Lee, Seok-Hee;Kim, Whee-Kuk;Oh, Se-Min;So, Byung-Rok;Yi, Byung-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.11 s.176
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    • pp.72-81
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    • 2005
  • A new spherical-type 3-degree-of-freedom parallel mechanism consisting of a two degree-of-freedom parallel module and a serial module is proposed. Two alternative designs for the serial sub-chain are suggested and compared. The first design employs RU joint arrangement for the serial sub chain structure. The second design incorporates a gear chain to drive the distal revolute joint of the serial sub-chain from the base platform of the mechanism. This modification significantly improves kinematic characteristics of the mechanism within its workspace. Firstly, the closed-form solutions of both the forward and the reverse position analysis are derived. Secondly, the first-order kinematic model with respect to three inputs which are located at the base is derived. Thirdly, it is confirmed through simulation that the modified mechanism has much more improved isotropic characteristic throughout the workspace of the mechanism. Lastly, the proposed mechanism is implemented to verify the results from this analysis.

Accuracy Improvement of a 5-axis Hybrid Machine Tool (5축 혼합형 공작기계의 정밀도 향상 연구)

  • Kim, Han Sung
    • Journal of the Korean Society of Industry Convergence
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    • v.17 no.3
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    • pp.84-92
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    • 2014
  • In this paper, a novel 5-axis hybrid-kinematic machine tool is introduced and the research results on accuracy improvement of the prototype machine tool are presented. The 5-axis hybrid machine tool is made up of a 3-DOF parallel manipulator and a 2-DOF serial one connected in series. The machine tool maintains high ratio of stiffness to mass due to the parallel structure and high orientation capability due to the serial-type wrist. In order to acquire high accuracy, the methodology of measuring the output shafts by additional sensors instead of using encoder outputs at the motor shafts is proposed. In the kinematic view point, the hybrid manipulator reduces to a serial one, if the passive joints in the U-P serial chain at the center of the parallel manipulator are directly measured by additional sensors. Using the method of successive screw displacements, the kinematic error model is derived. Since a ball-bar is less expensive than a full position measurement device and sufficiently accurate for calibration, the kinematic calibration method of using a ball-bar is presented. The effectiveness of the calibration method has been verified through the simulations. Finally, the calibration experiment shows that the position accuracy of the prototype machine tool has been improved from 153 to $86{\mu}m$.

The Study of Kinematic Analysis and Control by Optimum Design of Redundantly Actuated Parallel Robot (여유구동형 병렬 로봇의 최적설계를 통한 기구학적 분석 및 제어에 관한 연구)

  • Kim, Byeong-Soo;Lee, Jeh-Won;Kim, Young-Suk;Kim, Jin-Dae;Lee, Hyuk-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.4
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    • pp.426-432
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    • 2012
  • In this study, kinematic analysis of forward kinematic, inverse kinematic and jacobian for 6-bar parallel robot was analyzed. In order to analyze the maximum workspace of 6-bar parallel robot, maximum revolution range of active joint was calculated. Also, to analyze forward dynamics and inverse dynamics of 6-bar parallel robot, recurdyn and simmechanics was utilized. Using a PI controller and Feedforward controller make an experiment with square motion of end_effector. The reference value of active joint and trace of end_effector were compared with actual experimental value.

The Analysis of Trajectory Tracking Error Caused by the Tolerance of the Design Parameters of a Parallel Kinematic Manipulator (병렬로봇의 설계 공차가 궤적 정밀도에 미치는 영향 분석)

  • Park, Chanhun;Park, DongIl;Kim, Doohyung
    • The Journal of Korea Robotics Society
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    • v.11 no.4
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    • pp.248-255
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    • 2016
  • Machining error makes the uncertainty of dimensional accuracy of the kinematic structure of a parallel robot system, which makes the uncertainty of kinematic accuracy of the end-effector of the parallel robot system. In this paper, the tendency of trajectory tracking error caused by the tolerance of design parameters of the parallel robot is analyzed. For this purpose, all the position errors are analyzed as the manipulator is moved on the target trajectory. X, Y, Z components of the trajectory errors are analyzed respectively, as well as resultant errors, which give the designer of the manipulator the intuitive and deep understanding on the effects of each design parameter to the trajectory tracking errors caused by the uncertainty of dimensional accuracy. The research results shows which design parameters are critically sensitive to the trajectory tracking error and the tendency of the trajectory tracking error caused by them.

A study on the control-in-the-small characteristics of a planar parallel mechanism (평면형 병렬 메카니즘의 국소적 제어 특성에 관한 연구)

  • Kim, Whee-kuk;Cho, Whang;Kim, Jae-Seoub
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.3
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    • pp.360-371
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    • 1998
  • In this paper, output precision characteristics of a planar 6 degree-of-freedom parallel mechanisms are investigated, where the 6 degree-of-freedom mechanism is formed by adding an additional link along with an actuated joint in each serial subchain of the planar 3 degree-of-freedom parallel mechanism. Kinematic analysis for the parallel mechanism is performed, and its first-order kinematic characteristics are examined via kinematic isotropic index, maximum and minimum input-output velocity transmission ratios of the mechanisms. Based on this analysis, two types of planar 6 degrees-of-freedom parallel manipulators are selected. Then, dynamic characteristics of the two selected planar 6 degree-of-freedom parallel mechanisms, via Frobenius norms of inertia matrix and power modeling array, are investigated to compare the magnitudes of required control efforts of both three large actuators and three small actuators when the link lengths of three additional links are changed. It can be concluded from the analysis results that each of these two planar 6 degrees-of-freedom parallel mechanisms has an excellent control-in-the-small characteristics and therefore, it can be very effectively employed as a high-precision macro-micro manipulator when both its link lengths and locations of small and large actuators are properly chosen.

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Indentification and Compensation of Robot Kinematic Parameters for Positioning Accuracy Improvement

  • Kim, Doo-Hyeong;Guk, Geum-Hwan
    • 한국기계연구소 소보
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    • s.19
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    • pp.81-92
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    • 1989
  • This paper presents a simple identification method of the actual kinematic parameters for the robot with parallel joints. It is known that Denavit-Hartenberg's coordinate system is not useful for nearly parallel joints. In this paper, the coordinate frames are reassigned to model the kinematic parameter between nearly parallel joints by four parameters. The proposed identification method uses a straight ruler about 1m long. A robot hand is placed by using a teaching pendant at the prescribed points on the ruler, and corresponding error function is defined. The identified kinematic parameters which make the error function zero are obtained by iterative least square error method based on the singular value decomposition. In the compensation of joint angles, only the position is considered because the usual applications of robot do not require a precise orientation control.

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Kinematic Analysis of the Characteristics of Translational XYZ Micro Parallel Manipulator (병진운동을 하는 XYZ 마이크로 병렬형 머니퓰레이터의 기구학적 특성 분석)

  • Kim, Eun-Seok;Yang, Hyun-Ik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.4
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    • pp.441-450
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    • 2007
  • In this study, a 3-DOF XYZ micro parallel manipulator utilizing compliance mechanism is developed and analyzed. In so doing, a matrix method is used to rapidly solve displacements of the designed kinematic structure, and then kinematic characteristics of the developed manipulator are analyzed. Finally, the design analysis of the kinematic characteristics by changing hinge thickness and structure to improve workspace and translation motion is performed to show that the performance of the developed manipulator is relatively superior to the other similar kind of manipulators.

Analysis on Kinematic Characteristics for Spatial 3-DOF Parallel Mechanisms Employing Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 공간형 3자유도 병렬 메커니즘의 기구학 특성 분석)

  • Lee Seok Hee;Lee Jung Hun;Kim Whee Kuk;Yi Byung Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.118-127
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    • 2005
  • A spatial 3 degrees-of-freedom mechanism employing Stewart Platform structure is proposed: the mechanism maintains the 3- RRPS structure of Stewart Platform but has an additional passive PRR serial sub-chain at the center area of the mechanism in order to constrain the output motion of the mechanism within the output motion space of the added PRR serial subchain. The forward and reverse position analyses of the mechanism are performed. Then the mechanism having both the forward and the reverse closed-form solutions is suggested and its closed form solutions are derived. It is confirmed, through the kinematic analysis of those two proposed mechanisms via kinematic isotropic index, that both the proposed mechanisms have fairly good kinematic characteristics compared to the existing spatial 3-DOF mechanisms in literature.

The Evaluation of Machining Accuracy and the Machine Simulation for Parallel Kinematic Machine Tool(PKMT) (병렬기구 공직기계의 머신시뮬레이션 및 가공정밀도 평가)

  • Shin, Hyeuk;Ryou, Han-Sik;Ko, Hae-ju;Jung, Yoon-gyo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.8 no.4
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    • pp.41-47
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    • 2009
  • This research deals with evaluation of machining accuracy for Parallel Kinematic Machine Tool(PKMT) applied parallel type robot system with high precision and stiffness. For this purpose, machine simulation is carried out to foreknow collision and interference between workpiece and tool. Furthermore, on the basis of machine simulation data, PKMT is manufactured. Machining accuracy such as cylindricity straightness, squareness, parallelism circularity, concentricity pitch error and yaw error, is measured by using coordinate measuring machine. Test piece for evaluation of machining accuracy is designed and manufactured under the standard of ISO 10791-7.

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