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2008 | OriginalPaper | Buchkapitel

10. Performance Evaluation and Design Criteria

verfasst von : Jorge Angeles, PhD, Frank C. Park, Prof

Erschienen in: Springer Handbook of Robotics

Verlag: Springer Berlin Heidelberg

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Abstract

This chapter is devoted to the design of robots, with a focus on serial architectures. In this regard, we start by proposing a stepwise design procedure; then, we recall the main issues in robot design. These issues pertain to workspace geometry, the kinetostatic, the dynamic, the elastostatic, and elastodynamic performance. In doing this, the mathematics behind the concepts addressed is briefly outlined to make the chapter self-contained.
We survey some of the tools and criteria used in the mechanical design and performance evaluation of robots. Our focus is limited to robots that are (a) primarily intended for manipulation tasks and (b) supplied with serial kinematic chains. The kinematics of parallel robots is addressed in detail in Chap. 12. Wheeled robots, walking robots, multifingered hands, and other similar specialized structures are studied in their own chapters.

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Literatur
10.1.
Zurück zum Zitat O. Bottema, B. Roth: Theoretical Kinematics (North-Holland, Amsterdam 1979), Also available by Dover Publishing, New York 1990MATH O. Bottema, B. Roth: Theoretical Kinematics (North-Holland, Amsterdam 1979), Also available by Dover Publishing, New York 1990MATH
10.2.
Zurück zum Zitat J. Angeles: The qualitative synthesis of parallel manipulators, ASME J. Mech. Des. 126(4), 617–624 (2004)CrossRef J. Angeles: The qualitative synthesis of parallel manipulators, ASME J. Mech. Des. 126(4), 617–624 (2004)CrossRef
10.3.
Zurück zum Zitat J. Denavit, R.S. Hartenberg: A kinematic notation for lower-pair mechanisms based on matrices, ASME J. Appl. Mech. 77, 215–221 (1955)MathSciNet J. Denavit, R.S. Hartenberg: A kinematic notation for lower-pair mechanisms based on matrices, ASME J. Appl. Mech. 77, 215–221 (1955)MathSciNet
10.4.
Zurück zum Zitat G. Pahl, W. Beitz: Engineering Design. A Systematic Approach, 3rd edn. (Springer, London 2007), Translated from the original Sixth Edition in German G. Pahl, W. Beitz: Engineering Design. A Systematic Approach, 3rd edn. (Springer, London 2007), Translated from the original Sixth Edition in German
10.5.
Zurück zum Zitat M. Petterson, J. Andersson, P. Krus, X. Feng, D. Wappling: Industrial Robot Design Optimization in the Conceptual Design Phase, Proc. Mechatron. Robot., Vol. 2, ed. by P. Drews (APS-European Centre for Mechatronics, Aachen 2004) pp. 125–130 M. Petterson, J. Andersson, P. Krus, X. Feng, D. Wappling: Industrial Robot Design Optimization in the Conceptual Design Phase, Proc. Mechatron. Robot., Vol. 2, ed. by P. Drews (APS-European Centre for Mechatronics, Aachen 2004) pp. 125–130
10.7.
Zurück zum Zitat R. Clavel: Device for the movement and positioning of an element in space, Patent 4976582 (1990) R. Clavel: Device for the movement and positioning of an element in space, Patent 4976582 (1990)
10.8.
Zurück zum Zitat R. Vijaykumar, K.J. Waldron, M.J. Tsai: Geometric optimization of serial chain manipulator structures for working volume and dexterity, Int. J. Robot. Res. 5(2), 91–103 (1986)CrossRef R. Vijaykumar, K.J. Waldron, M.J. Tsai: Geometric optimization of serial chain manipulator structures for working volume and dexterity, Int. J. Robot. Res. 5(2), 91–103 (1986)CrossRef
10.9.
Zurück zum Zitat J.P. Merlet: Parallel Robots (Springer, Dordrecht 2006)MATH J.P. Merlet: Parallel Robots (Springer, Dordrecht 2006)MATH
10.10.
Zurück zum Zitat K. Hoffman: Analysis in Euclidean Space (Prentice-Hall, Englewood Cliffs 1975)MATH K. Hoffman: Analysis in Euclidean Space (Prentice-Hall, Englewood Cliffs 1975)MATH
10.11.
Zurück zum Zitat J. Angeles: Fundamentals of Robotic Mechanical Systems, 3rd edn. (Springer, New York 2007)CrossRefMATH J. Angeles: Fundamentals of Robotic Mechanical Systems, 3rd edn. (Springer, New York 2007)CrossRefMATH
10.12.
Zurück zum Zitat L. Burmester: Lehrbuch der Kinematik (Arthur Felix, Leipzig 1886), in GermanMATH L. Burmester: Lehrbuch der Kinematik (Arthur Felix, Leipzig 1886), in GermanMATH
10.13.
Zurück zum Zitat J.M. McCarthy: Geometric Design of Linkages (Springer, New York 2000)MATH J.M. McCarthy: Geometric Design of Linkages (Springer, New York 2000)MATH
10.14.
Zurück zum Zitat H. Li: Ein Verfahren zur vollständigen Lösung der Rückwärtstransformation für Industrieroboter mit allegemeiner Geometrie. Ph.D. Thesis (Universität-Gesamthochscule Duisburg, Duisburg 1990) H. Li: Ein Verfahren zur vollständigen Lösung der Rückwärtstransformation für Industrieroboter mit allegemeiner Geometrie. Ph.D. Thesis (Universität-Gesamthochscule Duisburg, Duisburg 1990)
10.15.
Zurück zum Zitat M. Raghavan, B. Roth: Kinematic analysis of the 6R manipulator of general geometry, Proc. 5th Int. Symp. Robot. Res., ed. by H. Miura, S. Arimoto (MIT Press, Cambridge 1990) M. Raghavan, B. Roth: Kinematic analysis of the 6R manipulator of general geometry, Proc. 5th Int. Symp. Robot. Res., ed. by H. Miura, S. Arimoto (MIT Press, Cambridge 1990)
10.16.
Zurück zum Zitat J. Angeles: The degree of freedom of parallel robots: a group-theoretic approach, Proc. IEEE Int. Conf. Robot. Autom. (Barcelona 2005) pp. 1017–1024 J. Angeles: The degree of freedom of parallel robots: a group-theoretic approach, Proc. IEEE Int. Conf. Robot. Autom. (Barcelona 2005) pp. 1017–1024
10.17.
Zurück zum Zitat C.C. Lee, J.M. Hervé: Translational parallel manipulators with doubly planar limbs, Mechanism Machine Theory 41, 433–455 (2006)CrossRefMATH C.C. Lee, J.M. Hervé: Translational parallel manipulators with doubly planar limbs, Mechanism Machine Theory 41, 433–455 (2006)CrossRefMATH
10.18.
Zurück zum Zitat B. Roth: Performance evaluation of manipulators from a kinematic viewpoint, National Bureau of Standards - NBS SP 495, 39–61 (1976) B. Roth: Performance evaluation of manipulators from a kinematic viewpoint, National Bureau of Standards - NBS SP 495, 39–61 (1976)
10.19.
Zurück zum Zitat A. Kumar, K.J. Waldron: The workspaces of a mechanical manipulator, ASME J. Mech. Des. 103, 665–672 (1981)CrossRef A. Kumar, K.J. Waldron: The workspaces of a mechanical manipulator, ASME J. Mech. Des. 103, 665–672 (1981)CrossRef
10.20.
Zurück zum Zitat D.C.H. Yang, T.W. Lee: On the workspace of mechanical manipulators, ASME J. Mech. Trans. Autom. Des. 105, 62–69 (1983)CrossRef D.C.H. Yang, T.W. Lee: On the workspace of mechanical manipulators, ASME J. Mech. Trans. Autom. Des. 105, 62–69 (1983)CrossRef
10.21.
Zurück zum Zitat Y.C. Tsai, A.H. Soni: An algorithm for the workspace of a general n-R robot, ASME J. Mech. Trans. Autom. Des. 105, 52–57 (1985)CrossRef Y.C. Tsai, A.H. Soni: An algorithm for the workspace of a general n-R robot, ASME J. Mech. Trans. Autom. Des. 105, 52–57 (1985)CrossRef
10.22.
Zurück zum Zitat K.C. Gupta, B. Roth: Design considerations for manipulator workspace, ASME J. Mech. Des. 104, 704–711 (1982)CrossRef K.C. Gupta, B. Roth: Design considerations for manipulator workspace, ASME J. Mech. Des. 104, 704–711 (1982)CrossRef
10.23.
Zurück zum Zitat K.C. Gupta: On the nature of robot workspace, Int. J. Robot. Res. 5(2), 112–121 (1986)CrossRef K.C. Gupta: On the nature of robot workspace, Int. J. Robot. Res. 5(2), 112–121 (1986)CrossRef
10.24.
Zurück zum Zitat F. Freudenstein, E. Primrose: On the analysis and synthesis of the workspace of a three-link, turning-pair connected robot arm, ASME J. Mech. Trans. Autom. Des. 106, 365–370 (1984)CrossRef F. Freudenstein, E. Primrose: On the analysis and synthesis of the workspace of a three-link, turning-pair connected robot arm, ASME J. Mech. Trans. Autom. Des. 106, 365–370 (1984)CrossRef
10.25.
Zurück zum Zitat C.C. Lin, F. Freudenstein: Optimization of the workspace of a three-link turning-pair connected robot arm, Int. J. Robot. Res. 5(2), 91–103 (1986)CrossRef C.C. Lin, F. Freudenstein: Optimization of the workspace of a three-link turning-pair connected robot arm, Int. J. Robot. Res. 5(2), 91–103 (1986)CrossRef
10.26.
10.27.
Zurück zum Zitat J. Loncaric: Geometric Analysis of Compliant Mechanisms in Robotics. Ph.D. Thesis (Harvard University, Harvard 1985) J. Loncaric: Geometric Analysis of Compliant Mechanisms in Robotics. Ph.D. Thesis (Harvard University, Harvard 1985)
10.28.
Zurück zum Zitat B. Paden, S. Sastry: Optimal kinematic design of 6R manipulators, Int. J. Robot. Res. 7(2), 43–61 (1988)CrossRef B. Paden, S. Sastry: Optimal kinematic design of 6R manipulators, Int. J. Robot. Res. 7(2), 43–61 (1988)CrossRef
10.29.
Zurück zum Zitat J.K. Salisbury, J.J. Craig: Articulated hands: force control and kinematic issues, Int. J. Robot. Res. 1(1), 4–17 (1982)CrossRef J.K. Salisbury, J.J. Craig: Articulated hands: force control and kinematic issues, Int. J. Robot. Res. 1(1), 4–17 (1982)CrossRef
10.30.
Zurück zum Zitat G. Strang: Linear Algebra and Its Applications, 3rd edn. (Harcourt Brace Jovanovich College Publishers, New York 1988) G. Strang: Linear Algebra and Its Applications, 3rd edn. (Harcourt Brace Jovanovich College Publishers, New York 1988)
10.31.
Zurück zum Zitat G.H. Golub, C.F. Van Loan: Matrix Computations (The Johns Hopkins Univ. Press, Baltimore 1989)MATH G.H. Golub, C.F. Van Loan: Matrix Computations (The Johns Hopkins Univ. Press, Baltimore 1989)MATH
10.32.
Zurück zum Zitat A. Dubrulle: An optimum iteration for the matrix polar decomposition, Electron. Trans. Numer. Anal. 8, 21–25 (1999)MATHMathSciNet A. Dubrulle: An optimum iteration for the matrix polar decomposition, Electron. Trans. Numer. Anal. 8, 21–25 (1999)MATHMathSciNet
10.33.
Zurück zum Zitat W.A. Khan, J. Angeles: The Kinetostatic Optimization of Robotic Manipulators: The Inverse and the Direct Problems, ASME J. Mech. Des. 128, 168–178 (2006)CrossRef W.A. Khan, J. Angeles: The Kinetostatic Optimization of Robotic Manipulators: The Inverse and the Direct Problems, ASME J. Mech. Des. 128, 168–178 (2006)CrossRef
10.34.
Zurück zum Zitat H. Pottmann, J. Wallner: Computational Line Geometry (Springer, Berlin, Heidelberg, New York 2001)MATH H. Pottmann, J. Wallner: Computational Line Geometry (Springer, Berlin, Heidelberg, New York 2001)MATH
10.35.
Zurück zum Zitat H. Asada: A geometrical representation of manipulator dynamics and its application to arm design, Trans. ASME J. Dyn. Sys. Meas. Contr. 105(3), 131–135 (1983)CrossRefMATH H. Asada: A geometrical representation of manipulator dynamics and its application to arm design, Trans. ASME J. Dyn. Sys. Meas. Contr. 105(3), 131–135 (1983)CrossRefMATH
10.36.
Zurück zum Zitat T. Yoshikawa: Dynamic manipulability of robot manipulators, Proc. IEEE Int. Conf. Robot. Autom. (1985) pp. 1033–1038 T. Yoshikawa: Dynamic manipulability of robot manipulators, Proc. IEEE Int. Conf. Robot. Autom. (1985) pp. 1033–1038
10.37.
Zurück zum Zitat P.A. Voglewede, I. Ebert-Uphoff: Measuring closeness to singularities for parallel manipulators, Proc. IEEE Int. Conf. Robot. Autom. (New Orleans 2004) pp. 4539–4544 P.A. Voglewede, I. Ebert-Uphoff: Measuring closeness to singularities for parallel manipulators, Proc. IEEE Int. Conf. Robot. Autom. (New Orleans 2004) pp. 4539–4544
10.38.
Zurück zum Zitat A. Bowling, O. Khatib: The dynamic capability equations: a new tool for analyzing robotic manipulator performance, IEEE Trans. Robot. 21(1), 115–123 (2005)CrossRef A. Bowling, O. Khatib: The dynamic capability equations: a new tool for analyzing robotic manipulator performance, IEEE Trans. Robot. 21(1), 115–123 (2005)CrossRef
10.39.
Zurück zum Zitat C.M. Gosselin, J. Angeles: A new performance index for the kinematic optimization of robotic manipulators, Proc. 20th ASME Mech. Conf. (Kissimmee 1988) pp. 441–447 C.M. Gosselin, J. Angeles: A new performance index for the kinematic optimization of robotic manipulators, Proc. 20th ASME Mech. Conf. (Kissimmee 1988) pp. 441–447
10.40.
Zurück zum Zitat C. Gosselin, J. Angeles: The optimum kinematic design of a planar three-degree-of-freedom parallel manipulator, ASME J. Mech. Trans. Autom. Des. 110, 35–41 (1988)CrossRef C. Gosselin, J. Angeles: The optimum kinematic design of a planar three-degree-of-freedom parallel manipulator, ASME J. Mech. Trans. Autom. Des. 110, 35–41 (1988)CrossRef
10.41.
Zurück zum Zitat A. Bicchi, C. Melchiorri, D. Balluchi: On the mobility and manipulability of general multiple limb robots, IEEE Trans. Robot. Autom. 11(2), 232–235 (1995)CrossRef A. Bicchi, C. Melchiorri, D. Balluchi: On the mobility and manipulability of general multiple limb robots, IEEE Trans. Robot. Autom. 11(2), 232–235 (1995)CrossRef
10.42.
Zurück zum Zitat P. Chiacchio, S. Chiaverini, L. Sciavicco, B. Siciliano: Global task space manipulability ellipsoids for multiple-arm systems, IEEE Trans. Robot. Autom. 7, 678–685 (1991)CrossRef P. Chiacchio, S. Chiaverini, L. Sciavicco, B. Siciliano: Global task space manipulability ellipsoids for multiple-arm systems, IEEE Trans. Robot. Autom. 7, 678–685 (1991)CrossRef
10.43.
Zurück zum Zitat C. Melchiorri: Comments on Global task space manipulability ellipsoids for multiple-arm systems and further considerations, IEEE Trans. Robot. Autom. 9, 232–235 (1993)CrossRef C. Melchiorri: Comments on Global task space manipulability ellipsoids for multiple-arm systems and further considerations, IEEE Trans. Robot. Autom. 9, 232–235 (1993)CrossRef
10.44.
Zurück zum Zitat P. Chiacchio, S. Chiaverini, L. Sciavicco, B. Siciliano: Reply to comments on Global task space manipulability ellipsoids for multiple-arm systemsʼ and further considerations, IEEE Trans. Robot. Autom. 9, 235–236 (1993) P. Chiacchio, S. Chiaverini, L. Sciavicco, B. Siciliano: Reply to comments on Global task space manipulability ellipsoids for multiple-arm systemsʼ and further considerations, IEEE Trans. Robot. Autom. 9, 235–236 (1993)
10.45.
Zurück zum Zitat F.C. Park: Optimal robot design and differential geometry, ASME Special 50th Anniv. Design Issue 117(B), 87–92 (1995) F.C. Park: Optimal robot design and differential geometry, ASME Special 50th Anniv. Design Issue 117(B), 87–92 (1995)
10.46.
Zurück zum Zitat F.C. Park, J. Kim: Manipulability of closed kinematic chains, ASME J. Mech. Des. 120(4), 542–548 (1998)CrossRef F.C. Park, J. Kim: Manipulability of closed kinematic chains, ASME J. Mech. Des. 120(4), 542–548 (1998)CrossRef
10.47.
Zurück zum Zitat A. Liégeois: Automatic supervisory control for the configuration and behavior of multibody mechanisms, IEEE Trans. Sys. Man. Cyber. 7(12), 842–868 (1977) A. Liégeois: Automatic supervisory control for the configuration and behavior of multibody mechanisms, IEEE Trans. Sys. Man. Cyber. 7(12), 842–868 (1977)
10.48.
Zurück zum Zitat C.A. Klein, C.H. Huang: Review of pseudo-inverse control for use with kinematically redundant manipulators, IEEE Trans. Sys. Man. Cyber. 13(2), 245–250 (1983) C.A. Klein, C.H. Huang: Review of pseudo-inverse control for use with kinematically redundant manipulators, IEEE Trans. Sys. Man. Cyber. 13(2), 245–250 (1983)
10.49.
Zurück zum Zitat J.M. Hollerbach: Optimum kinematic design of a seven degree of freedom manipulator. In: Robotics Research: The Second International Symposium, ed. by H. Hanafusa, H. Inoue (MIT Press, Cambridge 1985) J.M. Hollerbach: Optimum kinematic design of a seven degree of freedom manipulator. In: Robotics Research: The Second International Symposium, ed. by H. Hanafusa, H. Inoue (MIT Press, Cambridge 1985)
10.50.
Zurück zum Zitat M.W. Spong: Remarks on robot dynamics: canonical transformations and riemannian geometry, Proc. IEEE Int. Conf. Robot. Autom. (1992) pp. 454–472 M.W. Spong: Remarks on robot dynamics: canonical transformations and riemannian geometry, Proc. IEEE Int. Conf. Robot. Autom. (1992) pp. 454–472
10.51.
Zurück zum Zitat T.J. Graettinger, B.H. Krogh: The acceleration radius: a global performance measure for robotic manipulators, IEEE J. Robot. Autom. 4(11), 60–69 (1988)CrossRef T.J. Graettinger, B.H. Krogh: The acceleration radius: a global performance measure for robotic manipulators, IEEE J. Robot. Autom. 4(11), 60–69 (1988)CrossRef
10.52.
Zurück zum Zitat M. Griffis, J. Duffy: Global stiffness modeling of a class of simple compliant couplings, Mechanism Machine Theory 28, 207–224 (1993)CrossRef M. Griffis, J. Duffy: Global stiffness modeling of a class of simple compliant couplings, Mechanism Machine Theory 28, 207–224 (1993)CrossRef
10.53.
Zurück zum Zitat S. Howard, M.J. Zefran Kumar: On the 6× 6 cartesian stiffness matrix for three-dimensional motions, Mechanism and Machine Theory 33, 389–408 (1998)CrossRefMATHMathSciNet S. Howard, M.J. Zefran Kumar: On the 6× 6 cartesian stiffness matrix for three-dimensional motions, Mechanism and Machine Theory 33, 389–408 (1998)CrossRefMATHMathSciNet
10.54.
Zurück zum Zitat L. Meirovitch: Fundamentals of vibrations (McGraw-Hill, Boston-London 2001) L. Meirovitch: Fundamentals of vibrations (McGraw-Hill, Boston-London 2001)
Metadaten
Titel
Performance Evaluation and Design Criteria
verfasst von
Jorge Angeles, PhD
Frank C. Park, Prof
Copyright-Jahr
2008
DOI
https://doi.org/10.1007/978-3-540-30301-5_11

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