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Keywords: Lie algebras
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Journal Articles
Journal:
Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. April 2010, 132(4): 041001.
Published Online: March 30, 2010
... ( 24 ), which was employed by Rico et al. ( 12 ) to combine exponential maps of the motion screws, provides another avenue. The exponential map relates the differential representation of a screw, which is an element of the Lie algebra, to a finite displacement between poses along that screw, which...
Journal Articles
Journal:
Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. December 2007, 129(12): 1256–1264.
Published Online: December 18, 2006
... translational parallel manipulator, which produces a motion set of spatial translations. The 3DOF translation of the moving platform is directly controlled by the three 1DOF translations in three orthogonal prismatic fixed joints. 25 05 2006 18 12 2006 Lie algebras Lie groups manipulator...
Journal Articles
Journal:
Journal of Mechanical Design
Publisher: ASME
Article Type: Technical Papers
J. Mech. Des. September 2003, 125(3): 552–556.
Published Online: September 4, 2003
...Koichi Sugimoto The aim of this paper is to find out a computational procedure for the kinematic and dynamic analysis of a mechanism with multiple loops having motion spaces of a Lie algebra or Lie algebras. The basis of a motion space of the loop is determined such that it consists of passive...