Modelling multibody systems with indirect coordinates

Haug, 1989 Wittenburg, 1977 Huston, 1994, Use of absolute coordinates in computational multibody dynamics, Comput. Struct., 52, 17, 10.1016/0045-7949(94)90251-8 Fayet, 1994, Analysis of multibody systems with indirect coordinates and global inertia tensors, Eur. J. Mech., A/Solids, 13, 431 McPhee, 1998, Automatic generation of motion equations for planar mechanical systems using the new set of ‘Branch Coordinates’, Mech. Mach. Theory, 33, 805, 10.1016/S0094-114X(97)00055-4 J. McPhee, A Unified Formulation of Multibody Kinematic Equations in Terms of Absolute, Joint, and Indirect Coordinates, CD-ROM Proceedings of the ASME Design Engineering Technical Conference, Pittsburgh, USA, September 2001. García de Jalón, 1994 Nikravesh, 1994, Construction of the Equations of Motion for Multibody Dynamics using Point and Joint Coordinates, 31 Kim, 1986, A general and efficient method for dynamic analysis of mechanical systems using velocity transformations, J. Mech., Trans., Automat. Des., 108, 176, 10.1115/1.3260799 Wehage, 1989, Solution of multibody dynamics using natural factors and iterative refinement, ASME Proceedings DE-Vol., 19-3, 125 Koenig, 1967 Shi, 2000, Dynamics of flexible multibody systems using virtual work and linear graph theory, Multibody Syst. Dyn., 4, 355, 10.1023/A:1009841017268 Kecskeméthy, 1994, An object-oriented approach for an effective formulation of multibody dynamics, Comput. Methods Appl. Mech. Engrg., 115, 287, 10.1016/0045-7825(94)90064-7 Nikravesh, 1989, Systematic construction of the equations of motion for multibody systems containing closed kinematic loops, ASME DE-Vol., 19-3, 27 McPhee, 2004, Dynamic modelling of mechatronic multibody systems with symbolic computing and linear graph theory, Math. Comput. Modell. Dyn. Syst., 10, 1, 10.1080/13873950412331318044 S.M. Redmond, Reduction and Simplification of Kinematic and Dynamic Equations of Motion for Multibody Systems via Indirect Coordinates, MASc thesis, University of Waterloo, Waterloo, Ontario, Canada, 2003. Bonev, 2001, Singularity analysis of 3-dof planar parallel mechanisms Geike, 2003, Inverse dynamic analysis of parallel manipulators with full mobility, Mech. Mach. Theory, 38, 549, 10.1016/S0094-114X(03)00008-9