• DocumentCode
    3280043
  • Title

    Duality of constrained elastic manipulation

  • Author

    Patterson, Timothy ; Lipkin, Harvey

  • Author_Institution
    Georgia Inst. of Technol., Atlanta, GA, USA
  • fYear
    1991
  • fDate
    9-11 Apr 1991
  • Firstpage
    2820
  • Abstract
    For unconstrained manipulation, the linear compliance and stiffness models are equivalent. The equivalence does not hold for constrained manipulation, but leads to two dual models. These are analyzed using screw theory and a novel duality is explicitly demonstrated. The eigenstructure of the singular compliance and singular stiffness matrices is determined and several new dual propositions are developed
  • Keywords
    duality (mathematics); eigenvalues and eigenfunctions; matrix algebra; robots; constrained elastic manipulation; dual models; duality; eigenstructure; robots; screw theory; singular compliance; singular stiffness matrices; stiffness models; Books; Covariance matrix; Eigenvalues and eigenfunctions; Fasteners; Fingers; Manipulators; Mechanical engineering; Robot kinematics; Symmetric matrices; Torque;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Robotics and Automation, 1991. Proceedings., 1991 IEEE International Conference on
  • Conference_Location
    Sacramento, CA
  • Print_ISBN
    0-8186-2163-X
  • Type

    conf

  • DOI
    10.1109/ROBOT.1991.132060
  • Filename
    132060