Skip to main content
Erschienen in:
Buchtitelbild

2019 | OriginalPaper | Buchkapitel

1. Introduction: Lockable and Non-holonomic Joints

verfasst von : Patrick Grosch, Federico Thomas

Erschienen in: Parallel Robots With Unconventional Joints

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A serial robot is a set of rigid bodies, or links, connected in series through actuated joints, which are typically either revolute (R) or prismatic (P) joints. One end of this serial chain of links is called the base and the other the end-effector. In a parallel robot, the end-effector (also known in this case as the moving platform) is connected to the fixed base through several serial chains. In this case, most of the joints are not actuated. These passive joints are typically either universal (U) or spherical (S) joints. Prismatic, revolute, universal, and spherical joints constitute the four major joints used in robotics (Fig.  1.1).

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
1.
Zurück zum Zitat F. Aghili, K. Parsa, Design of a reconfigurable space robot with lockable telescopic joints, in IEEE/RSJ International Conference on Intelligent Robots and Systems (2006), pp. 4608–4614 F. Aghili, K. Parsa, Design of a reconfigurable space robot with lockable telescopic joints, in IEEE/RSJ International Conference on Intelligent Robots and Systems (2006), pp. 4608–4614
2.
Zurück zum Zitat F. Aghili, K. Parsa, A reconfigurable robot with lockable cylindrical joints. IEEE Trans. Robot. 25(4), 785–797 (2009)CrossRef F. Aghili, K. Parsa, A reconfigurable robot with lockable cylindrical joints. IEEE Trans. Robot. 25(4), 785–797 (2009)CrossRef
3.
Zurück zum Zitat J. Angeles, Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms, Mechanical Engineering Series (2003) J. Angeles, Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms, Mechanical Engineering Series (2003)
4.
Zurück zum Zitat P. Ben-Horin, F. Thomas, A nonholonomic 3-DoF parallel robot, in Advances in Robot Kinematics: Analysis and Design (Springer, Berlin, 2008), pp. 111–118 P. Ben-Horin, F. Thomas, A nonholonomic 3-DoF parallel robot, in Advances in Robot Kinematics: Analysis and Design (Springer, Berlin, 2008), pp. 111–118
5.
Zurück zum Zitat A.M. Bloch, Nonholonomic Mechanics and Control, Interdisciplinary Applied Mathematics, vol. 24 (2003) A.M. Bloch, Nonholonomic Mechanics and Control, Interdisciplinary Applied Mathematics, vol. 24 (2003)
6.
Zurück zum Zitat A.V. Borisov, I.S. Mamaev, Chaplygin’s Ball. The Suslov problem and Veselova’s problem. Integrability and realization of constraints, in Nonholonomic Dynamical Systems. Integrability, Chaos, Strange Attractors (Institute of Computer Science, Izhevsk, Moscow, 2002), pp. 118–130 A.V. Borisov, I.S. Mamaev, Chaplygin’s Ball. The Suslov problem and Veselova’s problem. Integrability and realization of constraints, in Nonholonomic Dynamical Systems. Integrability, Chaos, Strange Attractors (Institute of Computer Science, Izhevsk, Moscow, 2002), pp. 118–130
7.
Zurück zum Zitat A.V. Borisov, I.S. Mamaev, Rolling of a rigid body on plane and sphere. Hierarchy of dynamics. Regul. Chaotic Dyn. 7(2), 177–200 (2002b)MathSciNetCrossRef A.V. Borisov, I.S. Mamaev, Rolling of a rigid body on plane and sphere. Hierarchy of dynamics. Regul. Chaotic Dyn. 7(2), 177–200 (2002b)MathSciNetCrossRef
8.
Zurück zum Zitat R.W. Brockett, Asymptotic Stability and Feedback Stabilization, in Differential Geometric Control Theory (Birkhauser, Boston, 1983), pp. 181–191 R.W. Brockett, Asymptotic Stability and Feedback Stabilization, in Differential Geometric Control Theory (Birkhauser, Boston, 1983), pp. 181–191
9.
Zurück zum Zitat J. Cortés, T. Siméon, Probabilistic motion planning for parallel mechanisms, in IEEE International Conference on Robotics and Automation, Taipei, Taiwan (2003), pp. 4354–4359 J. Cortés, T. Siméon, Probabilistic motion planning for parallel mechanisms, in IEEE International Conference on Robotics and Automation, Taipei, Taiwan (2003), pp. 4354–4359
10.
Zurück zum Zitat G. Cui, Y. Zhang, Kinetostatic modeling and analysis of a new 3-DoF parallel manipulator, in IEEE International Conference on Computational Intelligence and Software Engineering, Wuhan, China (2009), pp. 1–4 G. Cui, Y. Zhang, Kinetostatic modeling and analysis of a new 3-DoF parallel manipulator, in IEEE International Conference on Computational Intelligence and Software Engineering, Wuhan, China (2009), pp. 1–4
11.
Zurück zum Zitat B. Dasgupta, T.S. Mruthyunjaya, The stewart platform manipulator: a review. Mech. Mach. Theory 35(1), 15–40 (2000)MathSciNetCrossRef B. Dasgupta, T.S. Mruthyunjaya, The stewart platform manipulator: a review. Mech. Mach. Theory 35(1), 15–40 (2000)MathSciNetCrossRef
12.
Zurück zum Zitat A. De Luca, G. Oriolo, P. Robuffo-Giordano, Image-based visual servoing schemes for nonholonomic mobile manipulators. Robotica 25(2), 131–145 (2007) A. De Luca, G. Oriolo, P. Robuffo-Giordano, Image-based visual servoing schemes for nonholonomic mobile manipulators. Robotica 25(2), 131–145 (2007)
13.
Zurück zum Zitat R. Di Gregorio, Statics and singularity loci of the 3-UPU wrist. IEEE Trans. Robot. 20(4), 630–635 (2004). ISSN 1941-0468CrossRef R. Di Gregorio, Statics and singularity loci of the 3-UPU wrist. IEEE Trans. Robot. 20(4), 630–635 (2004). ISSN 1941-0468CrossRef
14.
Zurück zum Zitat I. Duleba, W. Khefifi, Velocity space approach to motion planning of nonholonomic systems. Robotica 25(3), 359–366 (2007)CrossRef I. Duleba, W. Khefifi, Velocity space approach to motion planning of nonholonomic systems. Robotica 25(3), 359–366 (2007)CrossRef
15.
Zurück zum Zitat E. Faulring, J. Colgate, M. Peshkin, A high performance 6-DoF haptic cobot, in IEEE International Conference on Robotics and Automation, New Orleans, LA, USA, vol. 2, no. 2 (2004), pp. 1980–1985 E. Faulring, J. Colgate, M. Peshkin, A high performance 6-DoF haptic cobot, in IEEE International Conference on Robotics and Automation, New Orleans, LA, USA, vol. 2, no. 2 (2004), pp. 1980–1985
16.
Zurück zum Zitat V.E. Gough, S.G. Whitehall, Universal Tyre Test Machine, in International Automobile Technical Congress. Proceedings of the FISITA Ninth Institution of Mechanical Engineers, ed. by G. Eley (1962), pp. 117–137 V.E. Gough, S.G. Whitehall, Universal Tyre Test Machine, in International Automobile Technical Congress. Proceedings of the FISITA Ninth Institution of Mechanical Engineers, ed. by G. Eley (1962), pp. 117–137
17.
Zurück zum Zitat H. Gu, M. Ceccarelli, Simulation of combined motions for a 1-DoF clutched robotic arm, in International Conference on Mechatronics and Automation, Changchun, China (2009), pp. 3721–3726 H. Gu, M. Ceccarelli, Simulation of combined motions for a 1-DoF clutched robotic arm, in International Conference on Mechatronics and Automation, Changchun, China (2009), pp. 3721–3726
18.
Zurück zum Zitat H. Gu, N.E. Nava, M. Ceccarelli, Dynamics simulation of operation for a clutched arm, in XVIII Congreso Nacional de Ingeniera Menica,Ciudad Real, Espaa (2010), pp. 1342–1349 H. Gu, N.E. Nava, M. Ceccarelli, Dynamics simulation of operation for a clutched arm, in XVIII Congreso Nacional de Ingeniera Menica,Ciudad Real, Espaa (2010), pp. 1342–1349
19.
Zurück zum Zitat M.P. Hennessey, Visualizing the motion of a unicycle on a sphere. Int. J. Model. Simul. 26(1), 69–79 (2006)CrossRef M.P. Hennessey, Visualizing the motion of a unicycle on a sphere. Int. J. Model. Simul. 26(1), 69–79 (2006)CrossRef
20.
Zurück zum Zitat I.I. Hussein, A.M. Bloch, Optimal control of underactuated nonholonomic mechanical systems. IEEE Trans. Autom. Control 53(3), 668–682 (2008) I.I. Hussein, A.M. Bloch, Optimal control of underactuated nonholonomic mechanical systems. IEEE Trans. Autom. Control 53(3), 668–682 (2008)
21.
Zurück zum Zitat C. Innocenti, V. Parenti-Castelli, Exhaustive enumeration of fully parallel kinematic chains, in Proceedings ASME International Winter Annual Meeting, Chicago, IL, USA, vol. 55, no. 2 (1994), pp. 1135–1141 C. Innocenti, V. Parenti-Castelli, Exhaustive enumeration of fully parallel kinematic chains, in Proceedings ASME International Winter Annual Meeting, Chicago, IL, USA, vol. 55, no. 2 (1994), pp. 1135–1141
22.
Zurück zum Zitat H. Karbasi, J.P. Huissoon, A. Khajepour, Uni-drive modular robots: theory, design, and experiments. Mech. Mach. Theory 39(2), 183–200 (2004)CrossRef H. Karbasi, J.P. Huissoon, A. Khajepour, Uni-drive modular robots: theory, design, and experiments. Mech. Mach. Theory 39(2), 183–200 (2004)CrossRef
23.
Zurück zum Zitat A.P. Kharlamov, M.P. Kharlamov, Nonholonomic joint, in Mekh. Tverd. Tela (Rigid Body Mechanics), vol. 27 (NAS of Ukraine, Ukraine, 1995), pp. 1–7 A.P. Kharlamov, M.P. Kharlamov, Nonholonomic joint, in Mekh. Tverd. Tela (Rigid Body Mechanics), vol. 27 (NAS of Ukraine, Ukraine, 1995), pp. 1–7
25.
Zurück zum Zitat D.A. Lizárraga, Obstructions to the existence of universal stabilizers for smooth control systems. Math. Control Signals Syst. (MCSS) 16(4), 255–277 (2004)MathSciNetCrossRef D.A. Lizárraga, Obstructions to the existence of universal stabilizers for smooth control systems. Math. Control Signals Syst. (MCSS) 16(4), 255–277 (2004)MathSciNetCrossRef
26.
Zurück zum Zitat S. Lohuis, M. Abdelhary, S. Abdelmoeti, T. de Vries, Demo design: the VIRO agile eye. Mikroniek 58(1), 10–16 (2018) S. Lohuis, M. Abdelhary, S. Abdelmoeti, T. de Vries, Demo design: the VIRO agile eye. Mikroniek 58(1), 10–16 (2018)
27.
Zurück zum Zitat Y. Lu, J. Xu, Simulation solving/modifying velocity and acceleration of a 4UPS+SPR type parallel machine tool during normal machining of a 3D free-form surface. Int. J. Adv. Manuf. Technol. 42(7–8), 804–812 (2009)CrossRef Y. Lu, J. Xu, Simulation solving/modifying velocity and acceleration of a 4UPS+SPR type parallel machine tool during normal machining of a 3D free-form surface. Int. J. Adv. Manuf. Technol. 42(7–8), 804–812 (2009)CrossRef
28.
Zurück zum Zitat J.P. Merlet, Singular configurations of parallel manipulators and grassmann geometry. Int. J. Robot. Res. 8(5), 45–56 (1989)CrossRef J.P. Merlet, Singular configurations of parallel manipulators and grassmann geometry. Int. J. Robot. Res. 8(5), 45–56 (1989)CrossRef
29.
Zurück zum Zitat J.P. Merlet, Les Robots Paralléles. Trait des nouvelles technologies - Robotique (1997) J.P. Merlet, Les Robots Paralléles. Trait des nouvelles technologies - Robotique (1997)
30.
Zurück zum Zitat Y. Nakamura, W. Chung, O.J. Srdalen, Design and control of the nonholonomic manipulator. IEEE Trans. Robot. Autom. 17(1), 48–59 (2001)CrossRef Y. Nakamura, W. Chung, O.J. Srdalen, Design and control of the nonholonomic manipulator. IEEE Trans. Robot. Autom. 17(1), 48–59 (2001)CrossRef
31.
Zurück zum Zitat K. Ning, F. Worgotter, A novel concept for building a hyper-redundant chain robot. IEEE Trans. Robot. 25(6), 1237–1248 (2009)CrossRef K. Ning, F. Worgotter, A novel concept for building a hyper-redundant chain robot. IEEE Trans. Robot. 25(6), 1237–1248 (2009)CrossRef
32.
Zurück zum Zitat O.M. O’Reilly, Intermediate Dynamics for Engineers (2008) O.M. O’Reilly, Intermediate Dynamics for Engineers (2008)
33.
Zurück zum Zitat M. Peshkin, J.E. Colgate, C. Moore, Passive robots and haptic displays based on nonholonomic elements, in Proceedings of IEEE International Conference on Robotics and Automation, vol. 1 (1996), pp. 551–556 M. Peshkin, J.E. Colgate, C. Moore, Passive robots and haptic displays based on nonholonomic elements, in Proceedings of IEEE International Conference on Robotics and Automation, vol. 1 (1996), pp. 551–556
34.
Zurück zum Zitat F. Pierrot, P. Dauchez, A. Fournier, HEXA: a fast six-DoF fully-parallel robot, in Fifth International Conference on Advanced Robotics ’Robots in Unstructured Environments, vol. 2 (1991), pp. 1158–1163 F. Pierrot, P. Dauchez, A. Fournier, HEXA: a fast six-DoF fully-parallel robot, in Fifth International Conference on Advanced Robotics ’Robots in Unstructured Environments, vol. 2 (1991), pp. 1158–1163
35.
Zurück zum Zitat E.A. Shammas, H. Choset, A.A. Rizzi, Towards a unified approach to motion planning for dynamic underactuated mechanical systems with non-holonomic constraints. Int. J. Robot. Res. 26(10), 1075–1124 (2007)CrossRef E.A. Shammas, H. Choset, A.A. Rizzi, Towards a unified approach to motion planning for dynamic underactuated mechanical systems with non-holonomic constraints. Int. J. Robot. Res. 26(10), 1075–1124 (2007)CrossRef
36.
Zurück zum Zitat C.W. Stammers, P.H. Prest, C.G. Mobley, A friction drive robot wrist: electronic and control requirements. Mechatronics 2(4), 391–401 (1992)CrossRef C.W. Stammers, P.H. Prest, C.G. Mobley, A friction drive robot wrist: electronic and control requirements. Mechatronics 2(4), 391–401 (1992)CrossRef
37.
Zurück zum Zitat D. Stewart, A platform with six degrees of freedom. Proc. Inst. Mech. Eng. 180(1), 371–378 (1965)CrossRef D. Stewart, A platform with six degrees of freedom. Proc. Inst. Mech. Eng. 180(1), 371–378 (1965)CrossRef
38.
Zurück zum Zitat V. Vagner, Geometrical interpretation of the motion of non-holonomic dynamical systems. Proc. Semin. Vector Tensor Anal. 5, 301–327 (1941)MathSciNetMATH V. Vagner, Geometrical interpretation of the motion of non-holonomic dynamical systems. Proc. Semin. Vector Tensor Anal. 5, 301–327 (1941)MathSciNetMATH
Metadaten
Titel
Introduction: Lockable and Non-holonomic Joints
verfasst von
Patrick Grosch
Federico Thomas
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-11304-9_1

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.