Dynamics of multibody systems using virtual work and symbolic programming

Mathematical and Computer Modelling of Dynamical Systems

Volumn 8, Issue 2, 2002, Pages 137-155

  McPhee, J ^a   Shi, P ^a   Piedboeuf J C ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b CANADIAN SPACE AGENCY   (Canada)

Author keywords

Computer algebra; Dynamics; Gough Stewart platform; Multibody systems; Virtual work

Indexed keywords

COMPUTER ALGEBRA; DYNAMICS OF MULTIBODY SYSTEMS; FLEXIBLE MULTIBODY SYSTEMS; GOUGH-STEWART PLATFORM; INVERSE DYNAMIC ANALYSIS; INVERSE DYNAMICS PROBLEMS; MULTI BODY SYSTEMS; VIRTUAL WORKS;

ALGEBRA; COMPUTER SIMULATION; DYNAMICS; GRAPH THEORY; KINEMATICS;

MANIPULATORS;

DYNAMICS;

EID: 0036368715     PISSN: 13873954     EISSN: None     Source Type: Journal    
DOI: 10.1076/mcmd.8.2.137.8591     Document Type: Article

References (18)

1. Schiehlen, W. (ed.): Multibody Systems Handbook. Springer-Verlag, Berlin, 1990.
2. Tsai, L.-W.: Solving the Inverse Dynamics of Parallel Manipulators by the Principle of Virtual Work. Proceedings of ASME Design Engineering Technical Conference, Atlanta, Georgia, USA, 1998.
3. Wang, J. and Gosselin, C.: A New Approach for the Dynamic Analysis of Parallel Manipulators. Multibody System Dynamics 2 (1998), pp. 317-334.
4. Shi, P. and McPhee, J.: Dynamics of Flexible Multibody Systems Using Virtual Work and Linear Graph Theory. Multibody System Dynamics 4 (2000), pp. 355-381.
5. Piedbœuf, J.-C., Doyon, M., Langlois, P. and L'Archeveque, R.: SYMOFROS: A Flexible Dynamics Modeling Software. Proceedings of the 5th International Symposium on Artificial Intelligence, Robotics and Automation in Space, ESTEC, Noordwijk, The Netherlands, 1999.
6. García de Jalón, J. and Bayo, E.: Kinematic and Dynamic Simulation of Multibody System: The Real-Time Challenge. Springer-Verlag, New York, 1994.
7. McPhee, J.: Automatic Generation of Motion Equations for Planar Multibody Systems Using the New Set of "Branch Coordinates". Mechanism and Machine Theory 33 (1998), pp. 805-823.
8. Haug, E.J.: Computer-Aided Kinematics and Dynamics of Mechanical System. Allyn and Bacon, Boston, 1989.
9. Shi, P. and McPhee, J.: A Deformation Field for Euler-Bernoulli Beams With Application to Flexible Multibody Dynamics. Multibody System Dynamics 5 (2001), pp. 79-104.
10. Jourdain, P.E.B.: Note on an Analogue of Gauss' Principle of Least Constraint. The Quarterly Journal of Pure and Applied Mathematics XL (1909), pp. 153-157.
11. Piedbœuf, J.-C.: Recursive Modelling of Flexible Manipulators. The Journal of Astronautical Sciences 46 (1998), pp. 1-24.
12. Wehage, R.A. and Haug, E.J.: Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems. Journal of Mechanical Design 104 (1982), pp. 247-255.
13. Lieh, J.: Computer-Oriented Closed-Form Algorithm for Constrained Multibody Dynamics for Robotics Applications. Mechanism and Machine Theory 29 (1994), pp. 357-371.
14. Schiehlen, W.: Computational Aspects in Multibody System Dynamics. Computer Methods in Applied Mechanics and Engineering 90 (1991), pp. 569-582.
15. Vlase, S.: A Method of Eliminating Lagrangian Multipliers from the Equation of Motion of Interconnected Mechanical Systems. Journal of Applied Mechanics 54 (1987), pp. 235-237.
16. Shabana, A.A.: Dynamics of Multibody Systems. Wiley, New York, 1989.
17. Nikravesh, P.E. and Gim, G.: Systematic Construction of the Equations of Motion for Multibody Systems Containing Closed Kinematic Loops. Advances in Design Automation, ASME DE-Vol-19-3 (1989), pp. 27-33.
18. Geike, T. and McPhee, J.: Inverse Dynamic Analysis of Parallel Manipulators with Full Mobility. Submitted to Mechanism and Machine Theory, 2001.