A way of relating instantaneous and finite screws based on the screw triangle product
暂无分享,去创建一个
Jian S. Dai | Tao Sun | Tian Huang | Shuofei Yang | J. Dai | Shuofei Yang | T. Sun | Tian Huang
[1] David Zarrouk,et al. A Note on the Screw Triangle , 2011 .
[2] Felix . Klein,et al. Vergleichende Betrachtungen über neuere geometrische Forschungen , 1893 .
[3] C. Galletti,et al. Mobility analysis of single-loop kinematic chains: an algorithmic approach based on displacement groups , 1994 .
[4] Chintien Huang,et al. The Cylindroid Associated With Finite Motions of the Bennett Mechanism , 1997 .
[5] Felix C. Klein,et al. A comparative review of recent researches in geometry , 1893, 0807.3161.
[6] Chung-Ching Lee,et al. Parallel mechanisms generating 3-DoF finite translation and (2 or 1)-DoF infinitesimal rotation , 2012 .
[7] Qiong Jin,et al. Position and Orientation Characteristic Equation for Topological Design of Robot Mechanisms , 2009 .
[8] L. Tsai,et al. Jacobian Analysis of Limited-DOF Parallel Manipulators , 2002 .
[9] J. Dai. Euler–Rodrigues formula variations, quaternion conjugation and intrinsic connections , 2015 .
[10] Q. C. Li,et al. General Methodology for Type Synthesis of Symmetrical Lower-Mobility Parallel Manipulators and Several Novel Manipulators , 2002, Int. J. Robotics Res..
[11] Dongbing Gu,et al. A finite screw approach to type synthesis of three-DOF translational parallel mechanisms , 2016 .
[12] Jorge Angeles,et al. Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .
[13] Chintien Huang,et al. The correspondence between finite screw systems and projective spaces , 2008 .
[14] I. A. Parkin,et al. Finite displacements of points, planes, and lines via screw theory , 1995 .
[15] Yuefa Fang,et al. Structure Synthesis of a Class of 4-DoF and 5-DoF Parallel Manipulators with Identical Limb Structures , 2002, Int. J. Robotics Res..
[16] R. Carter. Lie Groups , 1970, Nature.
[17] J. Michael McCarthy,et al. Dual quaternion synthesis of constrained robotic systems , 2003 .
[18] F. Dimentberg. The screw calculus and its applications in mechanics , 1968 .
[19] H. Lipkin,et al. Mobility of Overconstrained Parallel Mechanisms , 2006 .
[20] Chintien Huang,et al. The finite screw systems associated with a prismatic-revolute dyad and the screw displacement of a point , 1994 .
[21] D. R. Kerr,et al. Finite Twist Mapping and its Application to Planar Serial Manipulators with Revolute Joints , 1995 .
[22] Roy Featherstone,et al. Spatial Vector Algebra , 2008 .
[23] J. D. Everett. A Treatise on the Theory of Screws , 1901, Nature.
[24] Jiansheng Dai,et al. Historical Relation between Mechanisms and Screw Theory and the Development of Finite Displacement Screws , 2015 .
[25] J. Dai. An historical review of the theoretical development of rigid body displacements from Rodrigues parameters to the finite twist , 2006 .
[26] J. M. Selig. Geometric Fundamentals of Robotics , 2004, Monographs in Computer Science.
[27] Zexiang Li,et al. A Geometric Theory for Analysis and Synthesis of Sub-6 DoF Parallel Manipulators , 2007, IEEE Transactions on Robotics.
[28] C. Barus. A treatise on the theory of screws , 1998 .
[29] K. H. Hunt,et al. Kinematic geometry of mechanisms , 1978 .
[30] Jian S. Dai,et al. Finite Displacement Screw Operators With Embedded Chasles' Motion , 2012 .
[31] B. Hall. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction , 2004 .
[32] J. M. Selig,et al. Rigid Body Dynamics Using Clifford Algebra , 2010 .
[33] Roger W. Brockett,et al. Robotic manipulators and the product of exponentials formula , 1984 .
[34] J. M. Selig. Exponential and Cayley Maps for Dual Quaternions , 2010 .
[35] Bernard Roth,et al. On the Screw Axes and Other Special Lines Associated With Spatial Displacements of a Rigid Body , 1967 .
[36] D. Chetwynd,et al. Generalized Jacobian analysis of lower mobility manipulators , 2011 .
[37] Richard M. Murray,et al. A Mathematical Introduction to Robotic Manipulation , 1994 .
[38] J. R. Jones,et al. Null–space construction using cofactors from a screw–algebra context , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[39] C. Chevalley. Theory of Lie Groups , 1946 .
[40] Chintien Huang,et al. The Linear Representation of the Screw Triangle—A Unification of Finite and Infinitesimal Kinematics , 1995 .
[41] Xianwen Kong,et al. Type Synthesis of Parallel Mechanisms , 2010, Springer Tracts in Advanced Robotics.
[42] I. A. Parkin,et al. A third conformation with the screw systems: Finite twist displacements of a directed line and point☆ , 1992 .
[43] Jian S. Dai,et al. Interrelationship between screw systems and corresponding reciprocal systems and applications , 2001 .