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Keywords: mathematical operators
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Journal Articles

A Study of the Duality Between Planar Kinematics and Statics

Offer Shai, Gordon R. Pennock
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Research Papers
J. Mech. Des. May 2006, 128(3): 587–598.
https://doi.org/10.1115/1.2181600
Published Online: October 12, 2005
... the linkage loses mobility (i.e., dead-center positions). 14 12 2004 12 10 2005 supports couplings duality (mathematics) mathematical operators duality equimomental lines equimomental line theorem face force dual Kennedy theorem dual Kennedy circle indeterminate mechanisms...
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Topics: Kinematics, Linkages, Statics, Theorems (Mathematics), Trusses (Building)
Journal Articles

Rigid Body Motion Characteristics and Unified Instantaneous Motion Representation of Points, Lines, and Planes

Kwun-Lon Ting, Professor, Yi Zhang, Research Assistant
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Technical Papers
J. Mech. Des. July 2004, 126(4): 593–601.
https://doi.org/10.1115/1.1759361
Published Online: August 12, 2004
... in the JOURNAL OF MECHANICAL DESIGN . Manuscript received June 2003; rev. Jan. 2004. Associate Editor: G. R. Dennock. 01 June 2003 01 Jan 2004 12 08 2004 computational geometry mathematical operators kinematics algebra Instantaneous rigid body motion and curvature theories...
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Topics: Algebra, Displacement, Screws