• Title/Summary/Keyword: Parallel kinematics machine

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Forward Kinematic Analysis of Casing Oscillator (케이싱 오실레이터의 순기구학 해석)

  • Nam, Yun-Joo;Park, Myeong-Kwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.12
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    • pp.1845-1855
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    • 2004
  • This paper presents the forward kinematics of the Casing Oscillator that is a construction machine. The Structure of the Casing Oscillator is similar to those of 4 degree-of-freedom mechanisms with a redundancy. With analytical (geometrical) methods, the solutions of the forward position kinematics problem are significantly found by both solving an 8$^{th}$ -order polynomial equation in one unknown variable and using one over-constraint geometrical equation which can be derived under the condition of a redundancy. The proposed forward kinematics has closed-form solutions and allows Auto-Balancing control of the moving platform in real time. Numerical examples are presented and the results are verified by an inverse kinematics analysis.

Dynamic Modeling for 6-DOF Parallel Machine Tool (6 자유도 병렬 공작기계를 위한 동역학 모델링)

  • 조한상;김종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1013-1016
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    • 1995
  • This paper deals with dynamics and control of a PRP6-DOF parallel manipulator. Dynamic modeling includes the effect of inertia of all links in the mechanism to increase modeling accuracy. Kinematic analysis about forward and inverse kinematics is also explained. Using Lagrange-D' Alambert method we get equations of motions in a link space which fully represent 6DOF motions of the manipulator.

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A 6-degree-of-freedom force-reflecting hand controller using fivebar parallel mechanism (+5각 관절 병렬 구조를 이용한 6자유도 힘 반사형 원격 조종기)

  • 진병대;우기영;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1545-1548
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    • 1997
  • A Force-refecting hand controller can provide the kinesthetic information obtained from a slave manipulator to the operator of a teleoperation system. This thesis presents the desgn and the analysis of a 6-degree-of-freedom force-reflecting hand controller using fivebar parallel mechanism. The goal of this thesis is to construct a superior hand controller that can provide large workspace and good force-reflecting ability. The forward kinematics of the fivebar paprallel mechanism has been calculated in real-time using three pin-joint sensors in addition to six actuator position sensors. A force decomposition approach is used to comput the Jacobin. To analyze the characteristics of the fivebar parallel mechanism, it has been compared with the other three parallel mechanisms in terms with workspace and manipulability measure. The force-reflecting hand controller using the fivebar parallel mechanism has been constructed and tested to verify the feasibility of the design concept.

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Study on Development of Parallel-Typed Tilting Table and RAD Tool Program (병렬기구형 틸팅 테이블 및 RAD Tool 프로그램 개발에 관한 연구)

  • 김태성;박성민;원동희;이민기;박근우
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.284-289
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    • 2002
  • In this paper, we develop a six-axes machining center tool(MCT) and CAD/CAM system based RAD Tool Program. The MCT consists of two mechanical parts, i.e., a X-Y-Z Cartesian coordinate typed MCT and a parallel-typed tilting table. Kinematics and singularity are accomplished to design the parallel-typed tilting table, and RAD Tool Program Is developed for the six-axes MCT, which requires the commands of position as well as orientation for machining of complex shape. In RAD Tool, the CAD/CAM system has a tool path generator, NC code generator and a graphic simulator. This paper designs the parallel-typed tilting table to meet the desired specification and presents the results of CAD/CAM system based RAD Tool Program.

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SPIF-A: on the development of a new concept of incremental forming machine

  • Alves de Sousa, R.J.;Ferreira, J.A.F.;Sa de Farias, J.B.;Torrao, J.N.D.;Afonso, D.G.;Martins, M.A.B.E.
    • Structural Engineering and Mechanics
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    • v.49 no.5
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    • pp.645-660
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    • 2014
  • This paper presents the design and project of an innovative concept for a Single Point Incremental Forming (SPIF) Machine. Nowadays, equipment currently available for conducting SPIF result mostly from the adaptation of conventional CNC machine tools that results in a limited range of applications in terms of materials and geometries. There is also a limited market supply of equipment dedicated to Incremental Sheet Forming (ISF), that are costly considering low batches, making it unattractive for industry. Other factors impairing a quicker spread of SPIF are large forming times and poor geometrical accuracy of parts. The following sections will depict the development of a new equipment, designed to overcome some of the limitations of machines currently used, allowing the development of a sounding basis for further studies on the particular features of this process. The equipment here described possesses six-degrees-of freedom for the tool, for the sake of improved flexibility in terms of achievable tool-paths and an extra stiffness provided by a parallel kinematics scheme. A brief state of the art about the existing SPIF machines is provided to support the project's guidelines.

Kinematic Calibration of a Cartesian Parallel Manipulator

  • Kim, Han-Sung
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.453-460
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    • 2005
  • In this paper, a prototype Cartesian Parallel Manipulator (CPM) is demonstrated, in which a moving platform is connected to a fixed frame by three PRRR limbs. Due to the orthogonal arrangement of the three prismatic joints, it behaves like a conventional X-Y-Z Cartesian robot. However, because all the linear actuators are mounted at the fixed frame, the manipulator may be suitable for applications requiring high speed and accuracy. Using a geometric method and the practical assumption that three revolute joint axes in each limb are parallel to one another, a simple forward kinematics for an actual model is derived, which is expressed in terms of a set of linear equations. Based on the error model, two calibration methods using full position and length measurements are developed. It is shown that for a full position measurement, the solution for the calibration can be obtained analytically. However, since a ball-bar is less expensive and sufficiently accurate for calibration, the kinematic calibration experiment on the prototype machine is performed by using a ball-bar. The effectiveness of the kinematic calibration method with a ball-bar is verified through the well­known circular test.

Error Analysis of a Parallel Mechanism Considering Link Stiffness and Joint Clearances

  • Park, Woo-Chun;Song, Jae-Bok;Daehie Hong;Shim, Jae-Kyung;Lim, Seung-Reung;Kyungwoo Kang;Park, Sungchul
    • Journal of Mechanical Science and Technology
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    • v.16 no.6
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    • pp.799-809
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    • 2002
  • In order to utilize a parallel mechanism as a machine tool component, it is important to estimate the errors of its end-effector due to the uncertainties in parts. This study proposes an error analysis for a new parallel device, a cubic parallel mechanism. For the parallel device, we consider two kinds of errors. One is a static error due to link stiffness and the other is a dynamic error due to clearances in the parts. In this study, we propose a stiffness model for the cubic parallel mechanism under the assumption that the link stiffness is a linear function of the link length. Also, from the fact that the errors of u-joints and spherical joints are changed with the direction of force acting on the link, they are regarded as a part of link errors, and then the error model is derived using forward kinematics. Lastly, both the error models are integrated into the total error, which is analyzed with a test example that the platform moves along a circular path. This analysis can be used in predicting the accuracy of other parallel devices.

The Eclipse-II Parallel Mechanism for Motion Simulators

  • Kim, Jongwon;Hwang, Jae-Chul;Kim, Jin-Sung;Park, Frank C.;Cho, Young-Man
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.286-291
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    • 2002
  • We present the analysis and design of a new six degree-of-freedom parallel mechanism, Eclipse-II, which can be used as a basis for general motion simulators. This mechanism allows x, y and z-axis translations and a, b and c-axis rotations. Most significantly, it presents the advantage of enabling continuous 360 degrees spinning of the platform. We first describe the computational procedures for the forward and in inverse kinematics of the Eclipse-II. Next, the complete singularity analysis is presented for the two cases of end-effector and actuator singularities. Two additional actuators are added to the original mechanism to eliminate both types of singularities with in the workspace. Some practical aspects of the prototype development are introduced.

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A 4-axis NC Lettering System for the Side-wall of the Automobile Tire (타이어 사이드판의 문자 가공을 위한 4축 가공 시스템)

  • Lee, Cheol-Soo;Park, Gwang-Ryeol
    • IE interfaces
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    • v.11 no.2
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    • pp.65-78
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    • 1998
  • The letters of the automobile tire are usually engraved on the side-wall. The shape of the side-wall is a sculptured surface generated by the rotational sweeping of a profile curve. The letters laid on the side-wall are usually designed by a 2-dimensional CAD. It is impossible to machine the letters on the surface accurately by 3-axis NC machining, because the axis of cutter should be tilted to align with the normal vector of the surface. In this case. the degree of freedom for the machine is at least four. This paper describes an idea for tool path generation of a 4-axis machine by using the 2-dimensional CAD data of the letters and the surface of the side-wall. This study includes the following procedures; (1) measuring the profile of the side-wall surface and curve-fitting of the measured points. (2) the 'non-parallel projection' of the letters on the side-wall, and (3) an inverse kinematics of the 4-axis lettering machine. Procedures in this paper are programmed in C-language on Windows95 environment. With a PC based CNC controller and a 4-axis lettering machine. these are tested sucessfully for the practical use.

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3-DOF Parallel Micromanipulator : Design Consideration (3차원 평형 마이크로조정장치 : 설계 고려사항)

  • Lee, Jeong-Ick;Lee, Dong-Chan;Han, Chang-Soo
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.2
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    • pp.13-22
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    • 2008
  • For the accuracy correction of the micro-positioning industrial robot, micro-manipulator has been devised. The compliant mechanisms using piezoelectric actuators is necessary geometrically and structurally to be developed by the optimization approaches. The overall geometric advantage as the mechanical efficiencies of the mechanism are considered as objective functions, which respectively art the ratio of output displacement to input force, and their constraints are the vertical notion of supporting leg and the structural strength of manipulation. In optimizing the compliant mechanical amplifier, the sequential linear programming and an optimality criteria method are used for the geometrical dimensions of compliant bridges and flexure hinges. This paper presents the integrated design process which not only can maximize the mechanism feasibilities but also can ensure the positioning accuracy and sufficient workspace. Experiment and simulation are presented for validating the design process through the comparisons of the kinematical and structural performances.