Summary
The paper deals with the integration schemes for the solution of direct dynamic problem for multibody systems with loops which are described by the recursive dynamic formalisms.
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References
Anantharaman, A. and Hiller, M. (1991) Numerical Simulation of Mechanical Systems Using Methods for Differential-Algebraic Equations, Int. J. For Num. Methods in Eng., vol 32 (1991), 1531 – 1542
Bae, D.S. and Haug, E.J. (1987) A Recursive Formulation For Constrained Mechanical Systems Dynamics: Part II, Closed Loop Systems, Mech. Structures and Machines, 15 (4), (1987), 481 – 506
Bae, D.S. and Yang, S.M. (1991) A Stabilization Method For Kinematic and Kinetic Constraint Equations, In: Haug, E.J. and Deyo, R.C. (eds.): Real time integration methods for mechanical systems simulation, NATO ASI Series F, Vol 69, Springer Verlag 1991, 209 – 232
Baumgarte, J. (1972) Stabilization of Constraints and Integrals of Motion in Dynamical Systems, Comp. Methods in appl. Mech. and Eng., 1 (1972), 1 – 16
Blajer, W., Schiehlen, W. and Schirm, W. (1992) Some New Developments in the Coordinate Partitioning Method for Multibody Dynamics, Institute B of Mechanics, University of Stuttgart (submitted for publication)
Brandi, H., Johanni, R. and Otter, M. (1986) An Algorithm For the Simulation of Multibody Systems with Kinematic Loops, In: Bauptista, E., Garcia-Lomas, J. and Navarro, A. (eds.): Proc. of 7th IFToMM World Congress, Sevilla
Fuehrer, C. (1988) Differential-Algebraische Gleichungssysteme in mechanischen Mehrkoerpersystemen, Ph.D. Thesis, Mathematisches Institut, Technische Universitaet Muenchen
Haug, E.J. and Yen, J. (1990) Generalized Coordinate Partitioning Methods for Numerical Integration of Differential-Algebraic Equations of Dynamics, In: Haug, E.J. and Deyo, R.C. (eds.): Real time integration methods for mechanical systems simulation, NATO ASI Series F, Vol 69, Springer Verlag 1991, 97 – 114
Kim, S.S. and Haug. E.J. (1989) A Recursive Formulation For Flexible Multibody Dynamics, Part II: Closed Loop Systems, Comp. Methods in appl. Mech. and Eng., 74 (1989), 251 – 269
Kim, S.S. and Vanderploeg, M.J. (1986) QR Decomposition For State Space Representation of Constrained Mechanical Dynamic Systems, ASME J. of Mech., Trans., and Aut. in Design, 108 (1986), 183 – 188
Lai, H.J., Haug, E.J., Kim, S.S. and Bae, D.S. (1991) A Decoupled Flexible-Relative Co-ordinate Recursive Approach for Flexible Multibody Dynamics, Int. J. for Num. Methods in Eng., vol 32 (1991), 1669 – 1689
Leister, G. and Bestle, D. (1992) Symbolic-Numerical Solution of Multibody Systems with Closed Loops, Vehicle System Dynamics, vol 21 (1992), n 3, 129 – 141
Mani, N.K., Haug, E.J. and Atkinson, K.E. (1985) Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics, ASME J. of Mech., Trans., and Aut. in Design, 107, 82–87
Mello, F.J., Borri, M. and Atluri, S.N. (1990) Time Finite Element Methods for Large Rotational Dynamics of Multibody Systems, Computers and Structures, 37 (1990), 231 – 240
Ostermeyer, G.P. (1991) On Baumgarte Stabilization For Differential Algebraic Equations, In: Haug, E.J. and Deyo, R.C. (eds.): Real time integration methods for mechanical systems simulation, NATO ASI Series F, Vol 69, Springer Verlag 1991, 193 – 207
Park, T.W. and Haug, E.J. (1986) A Hybrid Numerical Integration Method for Machine Dynamic Simulation, ASME J. of Mech., Trans., and Aut. in Design, vol 108 (1986), 211 – 216
Rulka, W. (1990) SIMPACK, A Computer Program For Simulations of Large- Motion Multibody Systems, In: Schiehlen, W. (ed.): Handbook of Multibody Systems, Springer Verlag, Berlin
Valasek, M. and Leister, G. (1991) Efficient Implementation of Multibody Formalisms, Proc. of 8th IFToMM World Congress, Prague 1991, 229 – 232
Valasek, M. and Stejskal, V. (1990) Contributions to Kinematics, Statics and Dynamics of Multibody Systems Solvable in Linear Computational Complexity, In: Banichuk, N.V., Klimov, D.M. and Schiehlen, W. (eds.) (1991): Dynamical Problems of Rigid-Elastic Systems and Structures, Proc. of IUTAM Symposium, Moscow 1990, Springer Verlag, Berlin 1991, 227 – 236
Wehage, R.A. and Haug, E.J. (1982) Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems, ASME J. of Mech. Design, 104 (1982), 247 – 255
Wittenburg, J. (1977) Dynamics of Systems of Rigid Bodies, Teubner, Stuttgart
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Valasek, M. (1993). Integration of Recursive Equations of Motion for Multibody Systems with Loops. In: Schiehlen, W. (eds) Advanced Multibody System Dynamics. Solid Mechanics and Its Applications, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0625-4_32
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DOI: https://doi.org/10.1007/978-94-017-0625-4_32
Publisher Name: Springer, Dordrecht
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