Application of the vector-network method to constrained mechanical systems

Journal of Mechanical Design, Transactions of the ASME

Volumn 108, Issue 4, 1986, Pages 471-480

  Li, Tai Wai ^a   Andrews, Gordon C ^b  

^a Central East Ontario   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038926251     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3258757     Document Type: Article

References (28)

1. Smith, D. A., Chace, M. A., and Rubens, A. C., “The Automatic Generation of a Mathematical Model for Machinery Systems,” ASME Paper 72-Mech-31.
2. Chace, M. A., and Angell, J. C., “Interactive Simulation of Machinery With Friction and Impact Using DRAM,” SAE Paper No. 770050, February 1977.
3. Orlandea, N., “Development and Application of Node-Analogous Sparsity Oriented Methods for Simulation of Mechanical Dynamic Systems,” PhD Thesis, University of Michigan, 1973.
4. Orlandea, N., Chace, M. A., and Calahan, D. A., “A Sparsity-Oriented Approach to the Dynamic Analysis and Design of Mechanical Systems,” ASME Journal of Engineering for Industry, August 1977, pp. 773-784.
5. Sheth, P. N., and Uicker, J. J., “IMP (Integrated Mechanisms Program)—A Computer-Aided Design Analysis System for Mechanisms and Linkages,” ASME Journal of Engineering for Industry, Vol. 94, 1972, pp. 454-464.
6. Nikravesh, P. E., and Haug, E. J., “Generalized Coordinate Partitioning for Analysis of Mechanical Systems With Nonholonomic Constraints,” ASME Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 105, September 1983, pp. 379-384.
7. Paul, B., and Krajcinovic, D., “Computer Analysis of Machines With Planar Motion,” ASME Journal of Applied Mechanics, Vol. 37, No. 3, September 1970, pp. 697-712.
8. Paul, B., “Analytical Dynamics of Mechanisms—A Computer-Oriented Overview,” Mechanism and Machine Theory, Vol. 10, 1975, pp. 481-507.
9. Roberson, R. E., and Wittenburg, J., “A Dynamical Formalism for an Arbitrary Number of Interconnected Rigid Bodies,” Proceedings, 3rd IF AC Congress, 1966, pp. 46D1-46D9.
10. Wittenburg, J., Dynamics of Systems of Rigid Bodies, Teubner, Stuttgart, 1977.
11. Schiehlen, W. O., and Kreuzer, E. J., “Symbolic Computerized Derivation of Equations of Motion,” in Dynamics of Multibody Systems, SpringerVerlag, 1978, pp. 290-305.
12. Schwertassek, R., “A State-Space Dynamical Representation for Multibody Mechanical Systems, Part I,” Acta Mechanica 50, 1984, pp. 141-161.
13. Kane, T. R., and Levinson, D. A., “Formulation of the Equations of Motion for Complex Spacecraft,” Journal of Guidance and Control, 3, 1980, pp. 99-112.
14. Koenig, H. E., Tokad, Y., Kesavan, H. K., Analysis of Discrete Physical Systems, McGraw-Hill, 1967.
15. Andrews, G. C., “A General Restatement of the Laws of Dynamics Based on Graph Theory,” Chapter 1 in Problem Analysis in Science and Engineering, Academic Press, 1977, pp. 1-40.
16. Andrews, G. C., and Kesavan, H. K., “Simulation of Multibody Systems Using the Vector-Network Model,” in Dynamics of Multibody Systems, Springer-Verlag, 1978, pp. 1-13.
17. Andrews, C. C., “The Vector-Network Model—A Topological Approach to Mechanics,” PhD Thesis, University of Waterloo, 1971.
18. Andrews, G. C., and Kesavan, H. K., “The Vector-Network Model: A New Approach to Vector Dynamics,” Mechanism and Machine Theory, Vol. 10, 1975, pp. 57-75.
19. Frota, J. A. R., “Applicacoes do Metodo Grafo-Vetorial a Simulacao de Mecanismos Pianos,” MASc Thesis, Instituto Technologico de Aeronautica, Brazil, August 1972.
20. Rogers, R. J., and Andrews, G. C., “Simulating Planar Systems Using a Simplified Vector-Network Method,” Mechanism and Machine Theory, Vol. 10, 1975, pp. 509-519.
21. Rogers, R. J., and Andrews, G. C., “Dynamic Simulation of Planar Mechanical Systems With Lubricated Bearing Clearances Using Vector-Network Techniques,” ASME Journal of Engineering for Industry, Vol. 99, Series B, No. 1, February 1977, pp. 131-137.
22. Chou, J. C.-K., “Dynamics of Spatial Mechanical Systems: Graph-Theoretical Model,” MASc Thesis, Department of System Design, University of Waterloo, 1984.
23. Richard, M. J., “Dynamic Simulation of Constrained Three-Dimensional Multi-Body Systems Using Vector-Network Techniques,” PhD Thesis, Queen’s University, Kingston, Ontario, 1985.
24. Richard, M. J., and Anderson, R. J., “Dynamic Simulation of ThreeDimensional Rigid Body Systems Using Vector-Network Techniques,” Mathematics and Computers in Simulation XXVI, 1984, pp. 289-296.
25. Ormrod, M. K., “ADVENT: A Vector-Network Computer Program for Simulating Constrained Mechanical Systems,” MASc Thesis, Department of Mechanical Engineering, University of Waterloo, 1985.
26. Ormrod, M. K., and Andrews, G. C., “ADVENT: A Simulation Program for Constrained Kinematic and Dynamic Systems,” *****see following paper****.
27. Li, T. W., “Dynamics of Rigid-Body Systems: A Vector-Network Approach,” MASc, Thesis, Department of Mechanical Engineering, Univeristy of Waterloo, 1985.
28. Meirovitch, L., Analytical Methods in Vibrations, MacMillan, New York, 1967.