메뉴 건너뛰기




Volumn 7 B, Issue , 2005, Pages 827-840

Geometric characterization of the configuration space of rigid body mechanisms in regular and singular points

Author keywords

Algebraic geometry; Degree of freedom; Kinematic loops; Kinematotropic; Lie groups; Local analysis; Overconstrained; Paradox in the small; Singularities

Indexed keywords

ALGEBRA; COMPUTATIONAL GEOMETRY; DEGREES OF FREEDOM (MECHANICS); FUNCTIONS; MATHEMATICAL MODELS;

EID: 33244476963     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84712     Document Type: Conference Paper
Times cited : (19)

References (40)
  • 1
    • 0011916342 scopus 로고
    • Subgroups of the euclidean group and symmetry breaking in nonrelativistic quantum mechanics
    • J. Beckers, J. Patera, M. Perroud, P. Winternitz: Subgroups of the Euclidean Group and Symmetry Breaking in Nonrelativistic Quantum Mechanics, Journal of Math, Phys., Vol. 18, No, 1, 1977, pp. 72-83
    • (1977) Journal of Math, Phys. , vol.18 , Issue.1 , pp. 72-83
    • Beckers, J.1    Patera, J.2    Perroud, M.3    Winternitz, P.4
  • 3
    • 0141731321 scopus 로고    scopus 로고
    • Singularity analysis of 3-DOF planar parallel mechanisms via screw theory
    • I.A. Bonev, D. Zlatanov, C.M. Gosselin; Singularity Analysis of 3-DOF Planar Parallel Mechanisms via Screw Theory, ASME J. Mechanical Design, Vol. 125, No, 3, 2003, pp. 573-581
    • (2003) ASME J. Mechanical Design , vol.125 , Issue.3 , pp. 573-581
    • Bonev, I.A.1    Zlatanov, D.2    Gosselin, C.M.3
  • 4
    • 0032651528 scopus 로고    scopus 로고
    • Singularity analysis of spatial mechanisms using dual polynomials and complex dual numbers
    • HH. Cheng, S, Thompson: Singularity analysis of spatial mechanisms using dual polynomials and complex dual numbers, Trans. ASME, Vol. 121, 1999, pp. 200-205
    • (1999) Trans. ASME , vol.121 , pp. 200-205
    • Cheng, H.H.1    Thompson, S.2
  • 5
    • 0034301676 scopus 로고    scopus 로고
    • Singularity analysis of parallel manipulators and closed-loop mechanisms
    • P. Choudhury, A. Ghosal: Singularity analysis of parallel manipulators and closed-loop mechanisms, Mech. Mach. Theory, Vol. 35, 2000, pp. 1455-1479
    • (2000) Mech. Mach. Theory , vol.35 , pp. 1455-1479
    • Choudhury, P.1    Ghosal, A.2
  • 8
    • 0032003763 scopus 로고    scopus 로고
    • Analysis and design of a six-DOF parallel manipulator, modeling, singular configurations, and workspace
    • El-Mouloudi Dafaoui et. al.; Analysis and design of a six-DOF parallel manipulator, modeling, singular configurations, and workspace, IEEE Tran. Robotics Automation, Vol, 14, No. 1, 1998, pp. 78-91
    • (1998) IEEE Tran. Robotics Automation , vol.14 , Issue.1 , pp. 78-91
    • Dafaoui, E.-M.1
  • 9
    • 0005732312 scopus 로고
    • Singular points of smooth mappings
    • Pitman Publ.
    • C.G. Gibson: Singular points of smooth mappings, Research notes in mathematics 25, Pitman Publ., 1979
    • (1979) Research Notes in Mathematics , vol.25
    • Gibson, C.G.1
  • 10
    • 0025650188 scopus 로고
    • Geometry of screw systems 1
    • G.G. Gibson, K.H. Hunt: Geometry of screw systems 1. Mech, Mach. Theory, Vol. 25, No 1, 1990, pp. 1-10
    • (1990) Mech, Mach. Theory , vol.25 , Issue.1 , pp. 1-10
    • Gibson, G.G.1    Hunt, K.H.2
  • 11
    • 0025599267 scopus 로고
    • Geometry of screw systems 2
    • C.G. Gibson, K.H. Hunti Geometry of screw systems 2. Mech. Mach. Theory, Vol. 25, No 1, 1990, pp. 11-27
    • (1990) Mech. Mach. Theory , vol.25 , Issue.1 , pp. 11-27
    • Gibson, C.G.1    Hunti, K.H.2
  • 12
    • 0025445470 scopus 로고
    • Singular analysis of closed-loop kinematic chains
    • C. M. Gosselin, J. Angeles: Singular analysis of closed-loop kinematic chains, IEEE Trans. Robotics Automation, Vol. 6, No. 3, 1990, pp. 281-290
    • (1990) IEEE Trans. Robotics Automation , vol.6 , Issue.3 , pp. 281-290
    • Gosselin, C.M.1    Angeles, J.2
  • 14
    • 0018056714 scopus 로고
    • Analyse Structurelle des Mécanismes par Groupe des Déplacements
    • J.M. Hervé: Analyse Structurelle des Mécanismes par Groupe des Déplacements, Mech. Mach. Theory, Vol. 13, 1978, pp. 437-450
    • (1978) Mech. Mach. Theory , vol.13 , pp. 437-450
    • Hervé, J.M.1
  • 15
    • 0020273987 scopus 로고
    • Intrinsic formulation of problems of geoemtry and kinematics of mechanisms
    • J.M. Hervé; Intrinsic formulation of problems of geoemtry and kinematics of mechanisms, Mech. Mach. Theory, Vol, 17, No. 3, 1982, pp. 179-184
    • (1982) Mech. Mach. Theory , vol.17 , Issue.3 , pp. 179-184
    • Hervé, J.M.1
  • 17
    • 0001114278 scopus 로고
    • Classification of robot-manipulators with only singular configurations
    • A. Karger: Classification of robot-manipulators with only singular configurations, Mech. Mach. Theory, Vol. 30, 1995, pp.727-736
    • (1995) Mech. Mach. Theory , vol.30 , pp. 727-736
    • Karger, A.1
  • 18
    • 0030388415 scopus 로고    scopus 로고
    • Singular analysis of serial robotmanipulators
    • A, Karger: Singular analysis of serial robotmanipulators, ASME J. Mech. Design, Vol. 118, 1996, pp. 520-525
    • (1996) ASME J. Mech. Design , vol.118 , pp. 520-525
    • Karger, A.1
  • 19
    • 0035398849 scopus 로고    scopus 로고
    • Singularities and self-motion of equiform platforms
    • A. Karger: Singularities and self-motion of equiform platforms, Mech. Mach. Theory, Vol, 36, 2001, pp, 801-815
    • (2001) Mech. Mach. Theory , vol.36 , pp. 801-815
    • Karger, A.1
  • 20
    • 0041621690 scopus 로고    scopus 로고
    • Architecture singular planar parallel manipulators
    • A. Karger: Architecture singular planar parallel manipulators, Mech. Mach. Theory, Vol. 38, No. 11, 2003, pp. 1149-1164
    • (2003) Mech. Mach. Theory , vol.38 , Issue.11 , pp. 1149-1164
    • Karger, A.1
  • 21
    • 22444454083 scopus 로고    scopus 로고
    • Analytic geometry and singularities of mechanisms
    • ZAMM
    • J. Lerbet: Analytic Geometry and Singularities of Mechanisms, ZAMM, Z. angew, Math. Mech., Vol, 78, No. 10b, pp. 687-694
    • Z. Angew, Math. Mech. , vol.78 , Issue.10 B , pp. 687-694
    • Lerbet, J.1
  • 22
    • 0032203121 scopus 로고    scopus 로고
    • Decomposition of the space of parameters of a kinematik chain by its singularities
    • J. Lerbet: Decomposition of the space of parameters of a kinematik chain by its singularities, Mech. Research Communication, 1998, pp. 637-642
    • (1998) Mech. Research Communication , pp. 637-642
    • Lerbet, J.1
  • 23
    • 0001591734 scopus 로고    scopus 로고
    • Differential geometric methods in multi-body system dynamics
    • P. Maisser: Differential Geometric Methods in Multi-body System Dynamics, Nonlinear Analysis, Theory, Methods & App., Vol/30, No. 8, 1997, pp. 5127-5133
    • (1997) Nonlinear Analysis, Theory, Methods & App. , vol.30 , Issue.8 , pp. 5127-5133
    • Maisser, P.1
  • 24
    • 0024752019 scopus 로고
    • Singular configurations of parallel manipulators and Grassmann geometry
    • J.P. Merlet: Singular configurations of parallel manipulators and Grassmann geometry, Int. J. Robotics Research, Vol, 8, No. 5, 1989, pp. 45-56
    • (1989) Int. J. Robotics Research , vol.8 , Issue.5 , pp. 45-56
    • Merlet, J.P.1
  • 25
    • 0036815684 scopus 로고    scopus 로고
    • Local analysis of singular configurations of open and closed loop manipulators
    • A. Müller: Local analysis of singular configurations of open and closed loop manipulators, Multibody Systems Dynamics, Vol. 8, 2002, pp. 299-328
    • (2002) Multibody Systems Dynamics , vol.8 , pp. 299-328
    • Müller, A.1
  • 26
    • 33244484412 scopus 로고    scopus 로고
    • Local analysis of singularities in the kinematics of rigid body mechanisms
    • submitted to
    • A. Müller: Local analysis of singularities in the kinematics of rigid body mechanisms, submitted to Mech. Mach. Theory
    • Mech. Mach. Theory
    • Müller, A.1
  • 28
    • 0029321694 scopus 로고
    • Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robotic manipulators
    • M. Raghavan, B. Roth: Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robotic manipulators, Trans. ASME Vol. 117. No, 71, 1995
    • (1995) Trans. ASME , vol.117 , Issue.71
    • Raghavan, M.1    Roth, B.2
  • 29
    • 0011973509 scopus 로고
    • A determination of singular configurations of serial non-redundant manipulators, and their escapement from singularities using Lie products
    • J.P. Merlet, B. Ravani (eds.), Kluwer Academic Press
    • J.M. Rico, J. Gallardo, J. Duffy: A determination of singular configurations of serial non-redundant manipulators, and their escapement from singularities using Lie products, in: Computational Kinematics, J.P. Merlet, B. Ravani (eds.), Kluwer Academic Press, 1995, pp. 143-152
    • (1995) Computational Kinematics , pp. 143-152
    • Rico, J.M.1    Gallardo, J.2    Duffy, J.3
  • 30
    • 18744421801 scopus 로고    scopus 로고
    • On mobility analysis of linkages using group theory
    • March
    • J.M. Rico, B. Ravani: On mobility analysis of linkages using group theory, ASME J. Mech. Design, Vol. 125, March 2003, pp. 70-80
    • (2003) ASME J. Mech. Design , vol.125 , pp. 70-80
    • Rico, J.M.1    Ravani, B.2
  • 32
    • 0015600793 scopus 로고
    • A study of overconstrained linkage geometry by solution of closure equations
    • Part I-Four-bar linkages with lower pair joints other than screw joints
    • K.J. Waldron: A study of overconstrained linkage geometry by solution of closure equations, Part I-Four-bar linkages with lower pair joints other than screw joints, Mech. Mach. Theory, Vol. 8, No. 1, 1973, pp. 95-104
    • (1973) Mech. Mach. Theory , vol.8 , Issue.1 , pp. 95-104
    • Waldron, K.J.1
  • 33
    • 0031386169 scopus 로고    scopus 로고
    • Kinematic analysis and singularity representation of spatial five-degree-of-freedom parallel mechanisms
    • J. Wang, C.M. Gosselin: Kinematic analysis and singularity representation of spatial five-degree-of-freedom parallel mechanisms, J, Robotic Systems, Vol. 14, No. 12, 1997, pp. 851-869
    • (1997) J, Robotic Systems , vol.14 , Issue.12 , pp. 851-869
    • Wang, J.1    Gosselin, C.M.2
  • 34
    • 0001354028 scopus 로고
    • On the ideals of differentiable functions
    • H. Whitney: On the ideals of differentiable functions, American J, Mathematics, Vol. 70, 1948, pp. 635-658
    • (1948) American J, Mathematics , vol.70 , pp. 635-658
    • Whitney, H.1
  • 35
    • 0001208702 scopus 로고
    • Tangents to an analytic variety
    • H. Whitney: Tangents to an analytic variety, Annals of mathematics, Vol. 81, 1965, pp. 496-549
    • (1965) Annals of Mathematics , vol.81 , pp. 496-549
    • Whitney, H.1
  • 37
    • 0012939324 scopus 로고    scopus 로고
    • Kinematotropic linkages
    • J. Lenarčič, V. Parent-Castelli (eds,): Kluwer
    • K. Wohlhart: Kinematotropic Linkages, in: J. Lenarčič, V. Parent-Castelli (eds,): Recent Advances in Robot Kinematics, Kluwer, 1996, pp. 359-368
    • (1996) Recent Advances in Robot Kinematics , pp. 359-368
    • Wohlhart, K.1
  • 39
    • 1942505737 scopus 로고    scopus 로고
    • A theory of degrees of freedom for mechanisms
    • J.S. Zhai, K. Zhou, Z.J. Feng: A theory of degrees of freedom for mechanisms, Mech. Mach. Theory, Vol. 39, 2004, pp. 621-643
    • (2004) Mech. Mach. Theory , vol.39 , pp. 621-643
    • Zhai, J.S.1    Zhou, K.2    Feng, Z.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.