Structural simplification of modular bond-graph models based on junction inactivity

Simulation Modelling Practice and Theory

Volumn 17, Issue 1, 2009, Pages 175-196

  Ersal, Tulga ^a   Fathy, Hosam K ^a   Stein, Jeffrey L ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Bond graph; Junction inactivity; Modular modeling; Structural simplification

Indexed keywords

LARGE SCALE SYSTEMS; MODEL STRUCTURES;

ASSEMBLED SYSTEMS; BODY MODELS; BOND GRAPH; COMPLEX STRUCTURES; COMPLEX SYSTEM MODELS; COMPONENT MODELS; EFFICIENT BUILDINGS; GRAPH MODELS; JUNCTION INACTIVITY; MODELING PARADIGMS; MODULAR MODELING; MODULAR MODELS; MULTIBODY SYSTEMS; STRUCTURAL SIMPLIFICATION; SYSTEM MODELS;

GRAPH THEORY;

EID: 56249096562     PISSN: 1569190X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.simpat.2008.02.010     Document Type: Article

References (35)

1. 20-sim, v3.6, Controllab Products B.V., Enschede, The Netherlands, 2005.
2. Agrawal O.P., and Saigal S. Dynamic analysis of multi-body systems using tangent coordinates. Computers and Structures 31 (1989) 349-355
3. D. Assanis, W. Bryzik, N. Chalhoub, Z. Filipi, N. Henein, D. Jung, X. Liu, L. Louca, J. Moskwa, S. Munns, J. Overholt, P. Papalambros, S. Riley, Z. Rubin, P. Sendur, J. Stein, G. Zhang, Integration and use of diesel engine, driveline and vehicle dynamics models for heavy duty truck simulation, in: Proceedings of 1999 SAE Congress, SAE, 1999.
4. Bay J.S. Fundamentals of Linear State Space Systems (1998), McGraw-Hill
5. Bladh R., Castanier M.P., and Pierre C. Reduced order modeling and vibration analysis of mistuned bladed disk assemblies with shrouds. Journal of Engineering for Gas Turbines and Power 121 (1999) 515-522
6. T. Ersal, Realization-Preserving Simplification and Reduction of Dynamic System Models at the Graph Level, Ph.D. Dissertation, University of Michigan, Ann Arbor, 2007.
7. T. Ersal, H.K. Fathy, J.L. Stein, Orienting body coordinate frames using Karhunen-Loève expansion for more effective structural simplification, Simulation Modelling Practice and Theory, in press, doi:10.1016/j.simpat.2007.08.002.
8. T. Ersal, J.L. Stein, L.S. Louca, A bond graph based modular modeling approach towards an automated modeling environment for reconfigurable machine tools, in: Proceedings of IMAACA'04, Bond Graph Techniques for Modeling Dynamic Systems, SCS, 2004.
9. Felgner F., Merz R., and Litz L. Modular modelling of thermal building behaviour using Modelica. Mathematical and Computer Modelling of Dynamical Systems 12 (2006) 35-49
10. Glover K. All optimal Hankel-norm approximations of linear multivariable systems and their I-infinity error bounds. International Journal of Control 39 (1984) 1115-1193
11. Holmes P., Lumley J.L., and Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry (1996), Cambridge University Press, Cambridge
12. Ider S.K., and Amirouche F.M.L. Coordinate reduction in the dynamics of constrained multibody systems-a new approach. Journal of Applied Mechanics 55 (1988) 899-904
13. Kalman R.E. Mathematical description of linear dynamical systems, SIAM. Journal on Control Series A 1 (1963) 152-191
14. Karnopp D., and Rosenberg R.C. System Dynamics: A Unified Approach (1975), John Wiley & Sons
15. Khazaka R., Gunupudi P.K., and Nakhla M.S. Efficient sensitivity analysis of transmission-line networks using model-reduction techniques. IEEE Transactions on Microwave Theory and Techniques 48 (2000) 2345-2351
16. Kim S.S., and Vanderploeg M.J. QR decomposition for state space representation of constrained mechanical dynamic systems. Journal of Mechanisms, Transmissions, and Automation in Design 108 (1986) 183-188
17. T. Kozaki, H. Mori, H.K. Fathy, S. Gopalswamy, Balancing the speed and fidelity of automotive powertrain models through surrogation, in: Proceedings of 2004 ASME International Mechanical Engineering Congress and Exposition, vol. 73, ASME, New York, NY, 2004, pp. 249-258.
18. Kübler R., and Schiehlen W. Modular simulation in multibody system dynamics. Multibody System Dynamics 4 (2000) 107-127
19. Liang C.G., and Lance G.M. A differentiable null space method for constrained dynamic analysis. Journal of Mechanisms, Transmissions, and Automation in Design 109 (1987) 405-411
20. Lin R.M., and Lim M.K. Structural sensitivity analysis via reduced-order analytical model. Computer Methods in Applied Mechanics and Engineering 121 (1995) 345-359
21. L.S. Louca, J.L. Stein, G.M. Hulbert, J. Sprague, Proper model generation: an energy-based methodology, in: Proceedings of 1997 International Conference on Bond Graph Modeling, vol. 29, SCS, 1997, pp. 44-49.
22. Mani N.K., Haug E.J., and Atkinson K.E. Application of singular value decomposition for analysis of mechanical system dynamics. Journal of Mechanisms, Transmissions, and Automation in Design 107 (1985) 82-87
23. Moore B.C. Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Transactions on Automatic Control 26 (1981) 17-32
24. Orbak A.Y., Turkay O.S., Eskinat E., and Youcef-Toumi K. Model reduction in the physical domain. Proceedings of the Institution of Mechanical Engineers Part I: Journal of Systems and Control Engineering 217 (2003) 481-496
25. N. Orlandea, M.A. Chace, D.A. Calahan, A sparsity-oriented approach to the dynamic analysis and design of mechanical systems - part 1, Journal of Engineering for Industry 99 (B) (1977) 773-779.
26. D.G. Rideout, J.L. Stein, L.S. Louca, System partitioning and physical-domain model reduction through assessment of bond graph junction structure, in: Proceedings of IMAACA'04, Bond Graph Techniques for Modeling Dynamic Systems, SCS, 2004.
27. Rinderle J.R., and Subramaniam B.L. Automated bond graph modeling and simplification to support design. Proceedings of Winter Annual Meeting of the ASME vol. 34 (1991), ASME, New York, NY 45-68
28. W. Schiehlen, Computational aspects in multibody system dynamics, in: Proceedings of Second World Congress on Computational Mechanics, vol. 90, 1991, pp. 569-582.
29. Singh R.P., and Likins P.W. Singular value decomposition for constrained dynamical systems. Journal of Applied Mechanics 52 (1985) 943-948
30. Skogestad S., and Postlethwaite I. Multivariable Feedback Control: Analysis and Design (1996), John Wiley & Sons
31. B.J. Sohns, J. Allison, H.K. Fathy, J.L. Stein, Accelerating parameterization of large-scale dynamic models through the use of activity analysis, in: Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, ASME, New York, NY, 2006.
32. Sueur C., and Dauphin-Tanguy G. Bond graph approach to multi-time scale systems analysis. Journal of the Franklin Institute 328 (1991) 1005-1026
33. W.C. Walton, E.C. Steeves, A new matrix theorem and its application for establishing independent coordinates for complex dynamical systems with constraints (NASA Technical Report, TR-326, 1969).
34. 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) 247-255
35. Wittenburg J. Dynamics of Systems of Rigid Bodies (1977), Teubner, Stuttgart