• Title/Summary/Keyword: manipulability ellipsoid

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An Application of the Force Rllipsoid to the Ooptimal Load Distribution of Cooperating Robots (힘 타원을 이용한 다중 협력 작업 로봇의 최적 부하 분배에 관한 연구)

  • 서창원;최명환;조혜경;이범희;고명삼
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.162-167
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    • 1991
  • The manipulability ellipsoid and the force ellipsoid for a single robot are extended to the case of a multi-robot system. The force ellipsoid is applied to solve the optimal load distribution for the multi-robot system. Two cases are considered in solving the optimal load distribution. In one case, there are no constraints on the joint torques, and the analytic solution ;a given. In the other case, the torque constraints are given in terms of the maximum power consumption, and the algorithm for the solution is proposed.

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Manipulability Analysis of a Parallel Machine Tool: Application to Optimal Link Parameters Design (병렬형 공작기계의 조작성 해석: 기구부 최적설계에 적용)

  • Kim, Jeom-Goo;Hong, Keum-Shik;Park, Frank-C.;Kim, Jong-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.11
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    • pp.213-223
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    • 1999
  • In this paper, input-output transmission characteristics of the Eclipse, which is a parallel machine tool capable of 5 face rapid machining, are investigated. By splitting the weighted Jacobian matrix into two parts, the force and moment transmission characteristics together with the velocity and angular velocity transmission characteristics are analyzed. A new manipulability measure, which combines the volume of the manipulability ellipsoid and the condition number of the splitted Jcobian matrix, is proposed. Two link parameters, the ratio of upper and lower platforms' radii and the length of a supporting link of the Eclipse, are designed by applying the new manipulability measure derived. Computer simulations are provided.

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A Study on Translational and Rotational Velocity Performance Indices of Six-Degree-of-Freedom parallel Mechanism (6자유도를 갖는 병렬형 기구의 병진속도와 회전속도 성능 지표에 관한 연구)

  • Kim, Chan-Soo
    • Journal of Korea Game Society
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    • v.10 no.6
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    • pp.57-65
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    • 2010
  • In this paper, mobility performance indices are proposed which may be used to estimate characteristics of output velocity space in six-degree-of-freedom parallel mechanism. In order for manipulability and condition number to not suffer from lack of the physical meaning due to dimensional inhomogeneity, output space is partitioned into translational velocity space and rotational velocity space, respectively. In each space, mobility ellipsoids corresponding to unit input space are defined and two types of mobility performance in translational velocity spaces indices are derived. Two types of mobility performance in rotational velocity spaces indices are derived.

A Study on the Task-Oriented Optimal Configuration of an ROV Mounted Manipulator Based on the Manipulability Measure (조작지수에 근거한 수중로봇팔의 작업지향적 최적자세에 관한 연구)

  • KIM Insik;JEON Bong-Hwan;LEE Pan Mook;LEE Jihong
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.05a
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    • pp.48-53
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    • 2004
  • In this paper, the task-oriented optimal configuration in the sense of Velocity and Force manipulability measure of manipulator mounted on ROV is considered. Manipulability is a quantitative measure of manipulator's capability obtained under the limits of joint velocities or torques. The base arrangements and optimal joint configuration of manipulator, that maximize the manipulability measure under the constraints of given task, are investigated. With the two types of base arrangements of manipulator, workspace analysis is carried out to investigate merits and demerits of each arrangement on the view of manipulability measure. To find optimal joint configuration for a given task with each arrangement, the SQP(Sequential Quadratic Programming) optimization are performed. Weighted linear combination of velocity and force manipulability measure is object function for SQP optimization. The kinematic parameters of Dual Orion manipulator which will be mounted on KORDI ROV are used for simulation.

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Direct Control of a Passive Haptic Device Based on Passive Force Manipulability Ellipsoid Analysis

  • Changhyun Cho;Kim, Munsang;Song, Jae-Bok
    • International Journal of Control, Automation, and Systems
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    • v.2 no.2
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    • pp.238-246
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    • 2004
  • In displaying a virtual wall using a passive haptic device equipped with passive actuators such as electric brakes, unsmooth motion frequently occurs. This undesirable behavior is attributed to time delay due to slowness in the virtual environment update and force approximation due to the inability of a brake to generate torque in arbitrary directions. In this paper a new control scheme called direct control is proposed to achieve smooth display on the wall-following task with a passive haptic device. In direct control, brakes are controlled so that the normal component of a resultant force at the end-effector vanishes, based on the force analysis at the end-effector of the passive haptic device using the passive FME (Force Manipulability Ellipsoid). Various experiments have been conducted to verify the validity of the direct control scheme with a 2-link passive haptic system.

Acceleration ellipsoid of two cooperating robots with the limits of joint torques (동역학이 고려된 두 대 로봇의 가속도 타원 해석)

  • 이지홍;이원희
    • Proceedings of the IEEK Conference
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    • 2003.07c
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    • pp.2717-2720
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    • 2003
  • A mathematical framework for deriving acceleration bounds from given joint torque limits of two cooperating robots are described in this paper. Especially when the torque limits are given in 2-norm, the resultant geometrical configuration is ellipsoid(the ellipsoid is often called manipulability ellipsoid in many works). At first, the mathematical derivation starts from the dynamics of both object and robots as well as the kinematics of the robots, and is finally arranged in a form of equation relating joint torques to object acceleration through a complete constraint contact(or “very-soft contact”). To show the usefulness of the proposed method, two examples are included, and especially the case where friction effects the ellipsoid shape is also considered In the example.

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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.

Dexterity modulation of parallel manipulators using joint freezing/releasing and joint unactuation/actuation

  • Youm, Sungkwan;So, Jinho;Kim, Sungbok
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.764-767
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    • 1997
  • This paper presents the modulation of the dexterity of a parallel manipulator using joint freezing/releasing and joint unactuation/actuation. In this paper, individual limbs have redundant number of joints, and each joint can be frozen/released and unactuated/actuated, as needed. First, given a task, the restrictions on joint freezing and joint unactuation of a parallel manipulator are derived. Next, with/without joint freezing and/or joint unactuation, the kinematics of a parallel manipulator is formulated, based on which the manipulability ellipsoid is defined. The effects of joint freezing and joint unactuation on the manipulability are analyzed and compared. Finally, simulation results for a planar parallel manipulator are given. Joint mechanisms, such as joint freezing and joint unactuation, are rather simple to adopt into a parallel manipulator, but is quite effective to improve the task adaptability of the system.

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Force/Moment Transmissionability Analysis of a Parallel Manipulator (병렬형 매니퓰레이터의 힘/모우멘트 전달특성에 관한 연구)

  • Ahn, Byoung-Joon;Hong, Keum-Shik
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.4
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    • pp.109-121
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    • 1996
  • This paper presents how the input forces along the prismatic joints of a parallel manipulator are transmitted to the upper platform. In order to consider force transmission and moment transmission seperately the Jacobian matrix for parallel manipulators is splitted into two parts. Magnitudes of input forces on the six actuators at a given manipulator configuration which generate maximum/minimum output force with no moment generated on the platform are obtained through the singular value decomposition of a matrix involving the Jacobian. Similarly the directions of the input forces to obtain only the rotation of the platform have been analyzed. Using the singular values a simple equation for the volume of ellipsoid which is a good tool for manipulability measure is provided. Obtained results could be useful in determinimg design parameters like radius of plaform, angles between joints, etc. Simulations are porvided.

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