Forming equivalent subsystem components to facilitate the modelling of mechatronic multibody systems

Multibody System Dynamics

Volumn 14, Issue 1, 2005, Pages 81-110

  Schmitke, Chad ^a   McPhee, John ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Graph theory; Mechatronic; Subsystems; Symbolic

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; GRAPH THEORY; LARGE SCALE SYSTEMS; MANIPULATORS; MECHATRONICS; PARALLEL PROCESSING SYSTEMS;

SINGLE COMPONENTS; SUBSYSTEMS; SYMBOLIC;

COMPUTER SIMULATION;

EID: 24144475472     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-005-4577-1     Document Type: Article

References (35)

1. Fisette, P. and Péterkenne, J.M., 'Contribution to parallel and vector computation in multibody dynamics', Parallel Computing 24, 1998, 717-728.
2. Diaz-Calderon, A., Paredis, C. and Khosla, P., 'Automatic generation of system-level dynamic equations for mechatronic systems', Journal of Computer-Aided Design 32, 2000.
3. Kecskemethy, A. and Hiller, M., 'An object-oriented approach for an effective formulation of multibody dynamics', Computer Methods in Applied Mechanics and Engineering 115, 1994, 287-314.
4. Junker, F., 'A systematics of modelling mechatronic systems', Mathematics and Computers in Simulation 39, 1995, 533-539.
5. Kang, S. and Yoon, Y., 'Hybrid recursive formulation for efficient dynamic simulation of general multibody systems', Mechanics Based Designs of Structures and Machines 31(2), 2003, 229-255.
6. Fisette, P., Postiau, T., Sass, L. and Samin, J.C., 'Fully symbolic generation of complex multibody models', Mechanics of Structures and Machines 30(1), 2002, 31-82.
7. Kim, S.,'A subsystem synthesis method for efficient multibody vehicle dynamics', Multibody System Dynamics 7, 2002, 189-207.
8. Park, J. and Yourn, Y., 'Principle of dynamic balance for composition of subsystem dynamics', In Proceedings of the Second Asian Conference on Multibody Dynamics, 2004.
9. Bremer, H., 'Subsystem computation of large mechanical systems', in Garcia-Lomas, J. Bautista, E. and Navarro, A. (eds.), Proceedings of the 7th World Congress on Theory of Machines and Mechanisms, 1, 1987, pp. 413-416.
10. Schiehlen, W., 'Multibody system dynamics: Roots and perspectives', Multibody System Dynamics 1, 1997, 149-188.
11. Kim, S. and Song, K., 'Comparative study on multibody dynamics formulations based on subsystem synthesis method for real-time vehicle dynamics', to appear in Multibody System Dynamics, 2003 pp. 16.
12. Romano, R., Real-time multi-body vehicle dynamics using a modular modeling methodology. SAE Technical Paper Series 2003-01-1286, Society of Automotive Engineers, Inc., 2003.
13. Savage, G.J. and Chandrashekar, M., SYDE 654 Coursenotes. CourseWare Solutions, Waterloo, Canada, 2002.
14. Roe, P., Networks and Systems. Addison-Wesley, Mass., 1966.
15. Chandrashekar, M. and Kesavan, H.K., 'Graph-theoretic state models for the piecewise analysis of large-scale electrical networks', Circuit Theory and Applications 5, 1977, 23-34.
16. Savage, G.J., 'Solution of large nonlinear engineering systems through subsystems', Advances in Engineering Software 28, 1997, 247-258.
17. Rumbaugh, J., 'Modeling and design, building boxes: Subsystems', Journal of Object Oriented Programming 7(6), 1996, 16-21.
18. Seshu, S. and Reed, M.B. Linear Graphs and Electrical Networks. Addison-Wesley, 1961.
19. Andrews, G.C. and Kesavan, H.K., "The vector-network model: A new approach to vector dynamics', Journal of Mechanism and Machine Theory 10, 1973, 57-75.
20. Li, T. and Andrews, G.C., 'Application of the vector-network method to constrained mechanical systems', Journal of Mechanisms, Transmissions, and Automation in Design 108(4), 1986, 471-480.
21. Chou, J.C.K., Singhal, K. and Kesavan, H.K., 'Multi-body systems with open chains: Graph-theoretic models', Journal of Mechanism and Machine Theory 21(3), 1986, 273-284.
22. Baciu, G. and H.K.Kesavan. 'Graph-theoretic modeling of particle-mass and constrained rigid body systems', Mechanism and Machine Theory 30(7), 1995, 953-967.
23. McPhee, J., 'Automatic generation of motion equations for planar mechanical systems using the new set of branch coordinates', Mechanism and Machine Theory 33, 1998, 805-823.
24. Shi, P. and McPhee, J., 'Dynamics of flexible multibody systems using virtual work and linear graph theory', Multibody System Dynamics 4, 2000, 355-381.
25. Scherrer, M. and McPhee, J., 'Dynamic modelling of electromechanical multibody systems', Multibody System Dynamics 9, 2003, 115-188.
26. Papadopoulos, E., Mu, B. and Frenette, R., 'Modeling and identification of an electrohydraulic articulated forestry machine', In Proceedings of the 1997 IEEE International Conference on Robotics and Automation, 1997.
27. Redmond, S. and McPhee, J., 'Modelling multibody systems with indirect coordinates', In Proceedings of the 11th World Congress in Mechanism and Machine Science, Tianjin, China, April 2004.
28. Savage, G.J. and Chandrashekar, M., 'Graph-theoretic models, a unifying approach', in Proceedings of the 23rd Conference on Modelling and Simulation, 1992, pp. 8.
29. Shi, P., Flexible Multibody Dynamics: A New Approach using Virtual Work and Graph Theory. PhD thesis, University of Waterloo, 1998.
30. Shi, P. and McPhee, J., Dynaflex user's guide: For use with maple. 2000, pp. 109.
31. Karnopp, D., Margolis, D.L. and Rosenberg, R.C., System Dynamics: Modeling and Simulation of Mechatronic Systems. Wiley-Interscience, Mass., 3 edition, 2000.
32. Mitiguy, P.C. and Kane, T.R., 'Motion variables leading to efficient equations of motion', International Journal of Robotics Research 15, 1996, 522-532.
33. Schmitke, C. and McPhee, J., 'Effective use of subsystem models in multibody and mechatronic system dynamics', International Journal for Multiscale Computational Engineering 1(2), 2003, 139-159.
34. Schmitke, C., Modelling Multibody Multi-Domain Systems Using Subsystems and Linear Graph Theory. PhD thesis, University of Waterloo, 2004.
35. Geike, T. and McPhee, J., 'Inverse dynamic analysis of parallel manipulators with full mobility', Mechanism and Machine Theory 38, 2003, 549-562.