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Mechanism and machine theory, v.51, 2012년, pp.185 - 194
Lee, C.C. (Department of Mold & Die Engineering, National Kaohsiung University of Applied Sciences, 415 Chien Kung Road, Kaohsiung, 80782, Taiwan, ROC) , Herve, J.M.
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The product of two Schoenflies motion subgroups of the group of general displacements characterizes a noteworthy type of 5-dimensional (5D) displacement set called double Schoenflies or X-X motion. It includes any spatial translation and any two sequential rotations whose axes are parall...
A page from Galois' Memoire sur les conditions de resolubilite des equations par radicaux published in his collected works in 1897.
Camille Jordan, Sur les groupes de mouvements, Comptes-Rendus de l'Academie des Sciences, Vol. 65, Gauthier-Villars, Paris, 1867, pp. 229-232, and, 1968/1969, Memoire sur les groupes de mouvements, Annali di Mathematica Pura ed Applicata, Vol.2, pp. 167-215 and pp.322-345. Reprinted, 1964, in Oeuvres de Camille Jordan, Gauthier-Villars, Paris, Vol. 4, pp.113-116 and pp. 231-302.
Sophus Lie, Theorie der Transformationsgruppen (Theory of Transformation Groups), Volume 1-3, 1888-93, Teubner, Leipzig; reprinted, 1970, Chelsea Publishing Company, New York (in German); in Vol. 3 of 1893, only one page, p. 385, which mentions the prior work of Jordan in a footnote is devoted to the continuous subgroups of the Euclidean group in R3.
Amer. Math. Monthly Halsted 1 416 1894 10.2307/2969034 Biography Professor Felix Klein
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Schoenflies 1886 Geometrie der Bewegung in Synthetischer Darstellung, Teubner, Leipzig
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Lee Vol.3 673 2005 On the enumeration of Schoenflies motion generators
Mech. Mach. Theory Lee 44 10 1980 2009 10.1016/j.mechmachtheory.2009.06.001 Type synthesis of primitive Schoenflies-motion generators
Mech. Mach. Theory Lee 44 12 2153 2009 10.1016/j.mechmachtheory.2009.06.005 On some application of primitive Schoenflies-motion generators
Mech. Mach. Theory Herve 29 1 73 1994 10.1016/0094-114X(94)90021-3 The mathematical group structure of the set of displacements
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European Journal of Mechanics - A/Solids Lee 29 1 97 2010 10.1016/j.euromechsol.2009.07.005 Generators of the product of two Schoenflies motion groups
IEEE Trans. on Robotics and Automation Li 20 2 173 2004 10.1109/TRA.2004.824650 Type synthesis of 3R2T 5-dof parallel mechanisms using the Lie group of displacements
Mech. Mach. Theory Lee 41 4 433 2006 10.1016/j.mechmachtheory.2005.06.006 Translational parallel manipulators with doubly planar limbs
ASME J. Mech. Design Lee 129 12 1256 2007 10.1115/1.2779892 Cartesian parallel manipulators with pseudoplanar limbs
ASME J. Mech. Rob. Lee 3 2 021006 2011 10.1115/1.4003690 2011, Isoconstrained parallel generators of Schoenflies motion
Lee 2011 Intersection of Two 5D Submanifolds of the Displacement 6D Lie Group: X(u)X(v)∩X(s)X(t)
Tsai 401 1996 ARK, Portoroz-Bernadin Kinematics of a three-dof platform with three extensible limbs
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Mech. Mach. Theory Han 37 8 787 2002 10.1016/S0094-114X(02)00021-6 and others, Kinematic sensitivity analysis of the 3-UPU parallel manipulator
Walter 2008 The SNU 3-UPU Parallel Robot from a theoretical viewpoint, Proc. 2nd Intl. Workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators
IEEE-Trans on Robotics Li 25 1 25 2009 10.1109/TRO.2008.2006869 Structural shakiness of nonoverconstrained translational parallel mechanisms with identical limbs
R.S. Ball, A Treatise on the Theory of Screws, Cambridge University Press, 1900, republished Cambridge, 1998.
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