Kinematic Error

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Xiao Diao Huang - One of the best experts on this subject based on the ideXlab platform.

  • Effect of servo and geometric Errors of tilting-rotary tables on volumetric Errors in five-axis machine tools
    International Journal of Machine Tools & Manufacture, 2016
    Co-Authors: Wenzheng Ding, Xiao Diao Huang
    Abstract:

    Abstract The tilting-rotary table becomes a standard accessory for five-axis machine tools. An approach for volumetric Errors evaluation taking into account servo and geometric Errors of the tilting-rotary table is proposed in this paper. A simple machining model of volumetric circles is used to evaluate volumetric Errors due to servo Errors of the tilting-rotary table. A Kinematic Error model is used to predict the volumetric Errors resulting from geometric Errors associated with the tilting-rotary table. Then effects of the two Error sources are added to predict the total volumetric Errors. A test part obtained by improving the cone frustum specified in NAS979 is presented to validate this method. Cases studies with cutting experiments are carried out on a commercial five-axis machine tool. The results show that the proposed model is effective to evaluate the effect of servo and geometric Errors of the tilting-rotary table on volumetric Errors in the five-axis machine tool.

Torgny Brogardh - One of the best experts on this subject based on the ideXlab platform.

  • a Kinematic Error model for a parallel gantry tau manipulator
    International Conference on Robotics and Automation, 2010
    Co-Authors: Isolde Dressler, Torgny Brogardh, Anders Robertsson
    Abstract:

    Parallel robots are generally said to be more accurate but to have a smaller workspace compared to serial robots. With the Gantry-Tau robot, a parallel robot with a large, reconfigurable workspace was presented. This article tries to identify the maximum achievable end-effector positioning accuracy of the Gantry-Tau robot. To this end, a couple of new Kinematic Error models are presented and evaluated. The sources of the remaining positioning Errors (0.09 mm) are discussed.

  • ICRA - A Kinematic Error model for a parallel Gantry-Tau manipulator
    2010 IEEE International Conference on Robotics and Automation, 2010
    Co-Authors: Isolde Dressler, Torgny Brogardh, Anders Robertsson
    Abstract:

    Parallel robots are generally said to be more accurate but to have a smaller workspace compared to serial robots. With the Gantry-Tau robot, a parallel robot with a large, reconfigurable workspace was presented. This article tries to identify the maximum achievable end-effector positioning accuracy of the Gantry-Tau robot. To this end, a couple of new Kinematic Error models are presented and evaluated. The sources of the remaining positioning Errors (0.09 mm) are discussed.

  • Kinematic Error calibration of the gantry tau parallel manipulator
    International Conference on Robotics and Automation, 2006
    Co-Authors: I Williams, Geir Hovland, Torgny Brogardh
    Abstract:

    This paper presents a new Error Kinematic model containing twelve parameters for the three linear actuators of the Gantry-Tau parallel Kinematic manipulator. Three different types of measurement equipment, laser interferometers, linear encoders and double-ball bars, can successfully be used to calibrate the linear actuators. A method for selecting an optimal set of Cartesian coordinates is presented and a small set of fifty coordinates have been found to be sufficient. The methods presented in this paper allow for a fast and easy set up calibration procedure of the Gantry-Tau after assembly and installation, which is a pre-requisite for flexible automation with parallel Kinematic manipulators

Anders Robertsson - One of the best experts on this subject based on the ideXlab platform.

  • a Kinematic Error model for a parallel gantry tau manipulator
    International Conference on Robotics and Automation, 2010
    Co-Authors: Isolde Dressler, Torgny Brogardh, Anders Robertsson
    Abstract:

    Parallel robots are generally said to be more accurate but to have a smaller workspace compared to serial robots. With the Gantry-Tau robot, a parallel robot with a large, reconfigurable workspace was presented. This article tries to identify the maximum achievable end-effector positioning accuracy of the Gantry-Tau robot. To this end, a couple of new Kinematic Error models are presented and evaluated. The sources of the remaining positioning Errors (0.09 mm) are discussed.

  • ICRA - A Kinematic Error model for a parallel Gantry-Tau manipulator
    2010 IEEE International Conference on Robotics and Automation, 2010
    Co-Authors: Isolde Dressler, Torgny Brogardh, Anders Robertsson
    Abstract:

    Parallel robots are generally said to be more accurate but to have a smaller workspace compared to serial robots. With the Gantry-Tau robot, a parallel robot with a large, reconfigurable workspace was presented. This article tries to identify the maximum achievable end-effector positioning accuracy of the Gantry-Tau robot. To this end, a couple of new Kinematic Error models are presented and evaluated. The sources of the remaining positioning Errors (0.09 mm) are discussed.

Chung-biau Tsay - One of the best experts on this subject based on the ideXlab platform.

  • ZK-Type Dual-Lead Worm and Worm Gear Drives: Contact Teeth, Contact Ratios and Kinematic Errors
    Journal of Mechanical Design, 1998
    Co-Authors: B.-w. Bair, Chung-biau Tsay
    Abstract:

    Contact ratio is an important gear design parameter for gear bending and contact stresses. A higher contact ratio may reduce the stresses and Kinematic Errors of the gear set. In this study, we calculate the Kinematic Error of the ZK-type dual-lead worm gear set by applying the tooth contact analysis (TCA) method. Two kinds of contact ratios, the instantaneous contact teeth (ICT) and the average contact ratio (ACR), are investigated and calculated by applying TCA method. ICT is an important design parameter for a dual-lead worm gear set when the gear set is used in a machine subjected to large impact forces. ACR is also a useful design factor for assessing gear tooth strength and dynamic load. If gear surface elastic deformation 3μm is allowed for the worm gear set, the ICT may have 2, 3 or 4 teeth and the ACR reveals that the ZK-type dual-lead worm gear drive is a high-contact-ratio gear set. It is found that this type of worm gear set with a shorter center distance assembly can increase the value of ACR during the gear meshing. Illustrative examples presented herein demonstrate the effects of gear parameters on contact teeth, contact ratios, average contact ratios and Kinematic Errors under various conditions.

  • Effects of the hob cutter regrinding and setting on ZE-type worm gear manufacture
    International Journal of Machine Tools & Manufacture, 1996
    Co-Authors: Hong-sheng Fang, Chung-biau Tsay
    Abstract:

    A mathematical model for a ZE-type worm gear set is proposed. The characteristics of a ZE-type worm gear cut with an oversize hob cutter are investigated. Bearing contacts and Kinematic Errors in the ZE-type worm gear set due to regrinding of oversize hob cutters are also studied. Bearing contacts in the worm gear set were obtained using surface separation topology techniques and tooth contact analysis. It was found that bearing contact locations are sensitive to the hob cutter setting angle and setting distance. Kinematic Error minimization was achieved modifying worm normal tooth angle. By applying the optimization theorem and computer simulation programs, optimum hob cutter settings and worm normal tooth angle were determined to improve bearing contact location and minimize the worm gear set Kinematic Errors. A numerical example is given to demonstrate the results of the investigation. The developed computer-aided manufacture program has successfully been applied to the worm gear manufacture and hob cutter design.

  • On the manufacturing tolerance of disk cam profile
    Journal of Materials Processing Technology, 1993
    Co-Authors: W.h. Wang, Chung-biau Tsay, C. H. Tseng, Shih-fu Ling
    Abstract:

    Abstract For a given rocker-roller cam system, the mathematical expression of the cam profile was first derived from the desired displacement function utilizing theory of gearing and differential geometry. Furthermore, the variance in the cam profile due to cutting tolerance was modelled using the Monte-Carlo method as a set of normally-distributed random numbers. Based on these models, the deviation from the desired motion resulting from manufacturing imprecision can be calculated by reversing the procedure. An optimization scheme was then employed to identify the optimal configuration which minimizes the motion deviation. It is found that the Kinematic Error of the mechanism can be minimized if the pressure angle of the mechanism remains small. Also the usefulness of the methodology developed for designing a rocker-roller cam mechanism taking the fabricating Error of the cam profiles into consideration is demonstrated.

Wenzheng Ding - One of the best experts on this subject based on the ideXlab platform.

  • Effect of servo and geometric Errors of tilting-rotary tables on volumetric Errors in five-axis machine tools
    International Journal of Machine Tools & Manufacture, 2016
    Co-Authors: Wenzheng Ding, Xiao Diao Huang
    Abstract:

    Abstract The tilting-rotary table becomes a standard accessory for five-axis machine tools. An approach for volumetric Errors evaluation taking into account servo and geometric Errors of the tilting-rotary table is proposed in this paper. A simple machining model of volumetric circles is used to evaluate volumetric Errors due to servo Errors of the tilting-rotary table. A Kinematic Error model is used to predict the volumetric Errors resulting from geometric Errors associated with the tilting-rotary table. Then effects of the two Error sources are added to predict the total volumetric Errors. A test part obtained by improving the cone frustum specified in NAS979 is presented to validate this method. Cases studies with cutting experiments are carried out on a commercial five-axis machine tool. The results show that the proposed model is effective to evaluate the effect of servo and geometric Errors of the tilting-rotary table on volumetric Errors in the five-axis machine tool.