Skip to main content
Top

2017 | OriginalPaper | Chapter

Kinematic Analysis and Performance Evaluation of a Redundantly Actuated Hybrid Manipulator

Authors : Lingmin Xu, Qiaohong Chen, Leiying He, Qinchuan Li

Published in: Intelligent Robotics and Applications

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper deals with the kinematic analysis and performance evaluation of a 2-URPR-UPR (U, R, P standing for universal, revolute and prismatic joint, respectively) redundantly actuated hybrid manipulator. First, the kinematic analysis of the proposed manipulator is presented, including mobility analysis, inverse kinematics, and singular analysis. Then, the reciprocal of the condition number based on a dimensionally homogeneous Jacobian matrix is used to evaluate the dexterity by changing the operating height and radius ratios of the mechanism separately. Finally, the global conditioning index is carried out to describe global dexterity performance with different radius ratios.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Wang, J.S., Wu, J., Li, T.M., Liu, X.J.: Workspace and singularity analysis of a 3-DOF planar parallel manipulator with actuation redundancy. Robotica 27, 51–57 (2009)CrossRef Wang, J.S., Wu, J., Li, T.M., Liu, X.J.: Workspace and singularity analysis of a 3-DOF planar parallel manipulator with actuation redundancy. Robotica 27, 51–57 (2009)CrossRef
2.
go back to reference Saglia, J.A., Dai, J.S., Caldwell, D.G.: Geometry and kinematic analysis of a redundantly actuated parallel mechanism that eliminates singularities and improves dexterity. J. Mech. Des. 130, 124501 (2008)CrossRef Saglia, J.A., Dai, J.S., Caldwell, D.G.: Geometry and kinematic analysis of a redundantly actuated parallel mechanism that eliminates singularities and improves dexterity. J. Mech. Des. 130, 124501 (2008)CrossRef
3.
go back to reference Kim, S.H., Jeon, D., Shin, H.P., In, W., Kim, J.: Design and analysis of decoupled parallel mechanism with redundant actuator. Int. J. Precis. Eng. Man. 10, 93–99 (2009)CrossRef Kim, S.H., Jeon, D., Shin, H.P., In, W., Kim, J.: Design and analysis of decoupled parallel mechanism with redundant actuator. Int. J. Precis. Eng. Man. 10, 93–99 (2009)CrossRef
4.
go back to reference Merlet, J.P.: Redundant parallel manipulators. Lab. Robot. Autom. 8, 17–24 (1996)CrossRef Merlet, J.P.: Redundant parallel manipulators. Lab. Robot. Autom. 8, 17–24 (1996)CrossRef
5.
go back to reference Kim, S.: Operational quality analysis of parallel manipulators with actuation redundancy. In: IEEE International Conference on Robotics and Automation, pp. 2651–2655 (1997) Kim, S.: Operational quality analysis of parallel manipulators with actuation redundancy. In: IEEE International Conference on Robotics and Automation, pp. 2651–2655 (1997)
6.
go back to reference Firmani, F., Podhorodeski, R.P.: Force-unconstrained poses for a redundantly-actuated planar parallel manipulator. Mech. Mach. Theory 39, 459–476 (2004)CrossRefMATH Firmani, F., Podhorodeski, R.P.: Force-unconstrained poses for a redundantly-actuated planar parallel manipulator. Mech. Mach. Theory 39, 459–476 (2004)CrossRefMATH
7.
go back to reference Nokleby, S.B., Fisher, R., Podhorodeski, R.P., Firmani, F.: Force capabilities of redundantly-actuated parallel manipulators. Mech. Mach. Theory 40, 578–599 (2005)CrossRefMATH Nokleby, S.B., Fisher, R., Podhorodeski, R.P., Firmani, F.: Force capabilities of redundantly-actuated parallel manipulators. Mech. Mach. Theory 40, 578–599 (2005)CrossRefMATH
8.
go back to reference Wang, L.P., Wu, I., Wang, J.S., You, Z.: An experimental study of a redundantly actuated parallel manipulator for a 5-DOF hybrid manipulator tool. IEEE. Trans. Mechatronics. 14, 72–81 (2009)CrossRef Wang, L.P., Wu, I., Wang, J.S., You, Z.: An experimental study of a redundantly actuated parallel manipulator for a 5-DOF hybrid manipulator tool. IEEE. Trans. Mechatronics. 14, 72–81 (2009)CrossRef
9.
go back to reference Kim, J., Park, F.C., Ryu, S.J., Kim, J., Hwang, J.C., Park, C., Iurascu, C.C.: Design and analysis of a redundantly actuated parallel mechanism for rapid machining. IEEE Trans. Robot. Autom. 17, 423–434 (2001)CrossRef Kim, J., Park, F.C., Ryu, S.J., Kim, J., Hwang, J.C., Park, C., Iurascu, C.C.: Design and analysis of a redundantly actuated parallel mechanism for rapid machining. IEEE Trans. Robot. Autom. 17, 423–434 (2001)CrossRef
10.
go back to reference Shin, H., Kim, S., Jeong, J., Kim, J.: Stiffness enhancement of a redundantly actuated parallel manipulator tool by dual support rims. Int. J. Precis. Eng. Man. 13, 1539–1547 (2012)CrossRef Shin, H., Kim, S., Jeong, J., Kim, J.: Stiffness enhancement of a redundantly actuated parallel manipulator tool by dual support rims. Int. J. Precis. Eng. Man. 13, 1539–1547 (2012)CrossRef
11.
go back to reference Shin, H., Lee, S., Jeong, I.J., Kim, J.: Antagonistic stiffness optimization of redundantly actuated parallel manipulators in a predefined workspace. IEEE. Trans. Mech. 18, 1161–1169 (2013)CrossRef Shin, H., Lee, S., Jeong, I.J., Kim, J.: Antagonistic stiffness optimization of redundantly actuated parallel manipulators in a predefined workspace. IEEE. Trans. Mech. 18, 1161–1169 (2013)CrossRef
12.
go back to reference Wu, J., Wang, J.S., Wang, L.P., Li, T.M.: Dexterity and stiffness analysis of a three-degree-of-freedom planar parallel manipulator with actuation redundancy. P. I. Mech. Eng. C-J. Mec. 221, 961–969 (2007)CrossRef Wu, J., Wang, J.S., Wang, L.P., Li, T.M.: Dexterity and stiffness analysis of a three-degree-of-freedom planar parallel manipulator with actuation redundancy. P. I. Mech. Eng. C-J. Mec. 221, 961–969 (2007)CrossRef
13.
go back to reference Wang, D., Fan, R., Chen, W.: Performance enhancement of a three-degree-of-freedom parallel tool head via actuation redundancy. Mech. Mach. Theory 71, 142–162 (2014)CrossRef Wang, D., Fan, R., Chen, W.: Performance enhancement of a three-degree-of-freedom parallel tool head via actuation redundancy. Mech. Mach. Theory 71, 142–162 (2014)CrossRef
14.
go back to reference Saglia, J.A., Tsagarakis, N.G., Dai, J.S., Caldwell, D.G.: A high performance redundantly actuated parallel mechanism for ankle rehabilitation. Int. J. Rob. Res. 28, 1216–1227 (2009)CrossRef Saglia, J.A., Tsagarakis, N.G., Dai, J.S., Caldwell, D.G.: A high performance redundantly actuated parallel mechanism for ankle rehabilitation. Int. J. Rob. Res. 28, 1216–1227 (2009)CrossRef
15.
go back to reference Wang, C.Z., Fang, Y.F., Guo, S., Chen, Y.Q.: Design and kinematical performance analysis of a 3-RUS/RRR redundantly actuated parallel mechanism for ankle rehabilitation. J. Mech. Robot. 5, 041003 (2013)CrossRef Wang, C.Z., Fang, Y.F., Guo, S., Chen, Y.Q.: Design and kinematical performance analysis of a 3-RUS/RRR redundantly actuated parallel mechanism for ankle rehabilitation. J. Mech. Robot. 5, 041003 (2013)CrossRef
16.
go back to reference Wang, C.Z., Fang, Y.F., Guo, S., Zhou, C.C.: Design and kinematic analysis of redundantly actuated parallel mechanisms for ankle rehabilitation. Robotica 33, 366–384 (2015)CrossRef Wang, C.Z., Fang, Y.F., Guo, S., Zhou, C.C.: Design and kinematic analysis of redundantly actuated parallel mechanisms for ankle rehabilitation. Robotica 33, 366–384 (2015)CrossRef
17.
go back to reference Huang, Z., Li, Q.C.: Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method. Int. J. Rob. Res. 22, 59–79 (2003) Huang, Z., Li, Q.C.: Type synthesis of symmetrical lower-mobility parallel mechanisms using the constraint-synthesis method. Int. J. Rob. Res. 22, 59–79 (2003)
18.
go back to reference Gosselin, C.M., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6, 281–290 (1990)CrossRef Gosselin, C.M., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6, 281–290 (1990)CrossRef
19.
go back to reference Ma, O., Angeles, J.: Optimum architecture design of platform manipulators. In: Proceedings of the 5th International Conference on Advanced Robotics, vol. 2, pp. 1130–1135 (1991) Ma, O., Angeles, J.: Optimum architecture design of platform manipulators. In: Proceedings of the 5th International Conference on Advanced Robotics, vol. 2, pp. 1130–1135 (1991)
20.
go back to reference Angeles, J.: The design of isotropic manipulator architectures in the presence of redundancies. Int. J. Rob. Res. 11, 196–201 (1992)CrossRef Angeles, J.: The design of isotropic manipulator architectures in the presence of redundancies. Int. J. Rob. Res. 11, 196–201 (1992)CrossRef
21.
go back to reference Stoughton, R.S., Arai, T.: A modified Stewart platform manipulator with improved dexterity. IEEE Trans. Robot. Autom. 9, 166–173 (1993)CrossRef Stoughton, R.S., Arai, T.: A modified Stewart platform manipulator with improved dexterity. IEEE Trans. Robot. Autom. 9, 166–173 (1993)CrossRef
22.
go back to reference Merlet, J.P.: Jacobian, manipulability, condition number, and accuracy of parallel robots. J. Mech. Des. 128, 199–206 (2006)CrossRef Merlet, J.P.: Jacobian, manipulability, condition number, and accuracy of parallel robots. J. Mech. Des. 128, 199–206 (2006)CrossRef
23.
go back to reference Gosselin, C., Angeles, J.: A global performance index for the kinematic optimization of robotic manipulators. J. Mech. Des. 113, 220–226 (1991)CrossRef Gosselin, C., Angeles, J.: A global performance index for the kinematic optimization of robotic manipulators. J. Mech. Des. 113, 220–226 (1991)CrossRef
Metadata
Title
Kinematic Analysis and Performance Evaluation of a Redundantly Actuated Hybrid Manipulator
Authors
Lingmin Xu
Qiaohong Chen
Leiying He
Qinchuan Li
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-65292-4_18

Premium Partner