Multiphysics modeling and optimization of mechatronic multibody systems

Multibody System Dynamics

Volumn 18, Issue 3, 2007, Pages 345-373

  Samin, J C ^a   Bruls O ^b   Collard, J F ^a   Sass, L ^c   Fisette, P ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b UNIVERSITY OF LIÈGE   (Belgium)

^c UNIVERSIDAD SAN FRANCISCO DE QUITO   (Ecuador)

Author keywords

Modeling; Multibody; Multiphysics; Optimization

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; GRAPH THEORY; MATHEMATICAL MODELS; NUMERICAL METHODS; OPTIMIZATION;

INTEGRATED ENGINEERING APPROACH'S; MULTIPHYSICS; PROTOTYPING MACARONI DEVICES;

MECHATRONICS;

EID: 34948900274     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-007-9076-0     Document Type: Article

References (55)

1. Gear, C.W., Wells, D.R.: Multirate linear multistep methods. BIT 24, 482-502 (1984)
2. Arnold, M.: Numerically stable modular time integration of multiphysical systems. In: Bathe, K.J. (ed.) Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, June 2001, pp. 1062-1064. Elsevier, Amsterdam (2001)
3. Rükgauer, A., Schiehlen, W.: Simulation of modular dynamic systems. Comput. Struct. 46, 535-542 (1998)
4. Veitl, A., Gordon, T., Van De Sand, A., Howell, M., Valásek, M., Vaculin, O., Steinbauer, P.: Methodologies for coupling simulation models and codes in mechatronic system analysis and design. Veh. Syst. Dyn. 33, 231-243 (1999)
5. Valásek, M., Breedveld, P., Sika, Z., Vampola, T.: Software tools for mechatronic vehicles: Design through modelling and simulation. Veh. Sys. Dyn. 33, 214-230 (1999)
6. Kübler, R., Schiehlen, W.: Two methods of simulator coupling. Math. Comput. Model. Dyn. Syst. 6(2), 93-113 (2000)
7. Da Silva, M., Brüls, O., Paijmans, B., Desmet, W., Van Brussel, H.: Concurrent simulation of mechatronic systems with variable mechanical configuration. In: Proc. of ISMA 2006, Leuven, Belgium, September 2006
8. Van Brussel, H.: Mechatronics-a powerful concurrent engineering framework. IEEE/ASME Trans. Mechatron. 1(2), 127-136 (1996)
9. Elmqvist, H., Mattson, S.E., Otter, M.: Modelica-the new object-oriented modeling language. In: Proc. of the 12th European Simulation Multiconference (ESM'98), June 1998
10. Tiller, M.M.: Introduction to Physical Modeling with Modelica. Kluwer Academic, Dordrecht (2001)
11. Koenig, H.E., Tokad, Y., Kesavan, H.K., Hedges, H.G.: Analysis of Discrete Physical Systems. McGraw-Hill, New York (1967)
12. Sass, L.: Symbolic modeling of electromechanical multibody systems. Ph.D. thesis, Université Catholique de Louvain (2004), available at http://edoc.bib.ucl.ac.be:81/ETD-db/collection/available/BelnUcetd-01082004- 172924/
13. Paynter, H.: Analysis and Design of Engineering Systems. MIT Press, Cambridge (1961)
14. Karnopp, D., Margolis, D.L., Rosenberg, R.C.: System Dynamics: Modeling and Simulation of Mechatronic Systems, 3rd edn. Wiley, New York (2000)
15. Bonderson, L.: Vector bond graphs applied to one-dimensional distributed systems. J. Dyn. Syst. Meas. Control 97(1), 75-82 (1975)
16. Ingrim, M.E., Masada, G.Y.: The extended bond-graph notation. J. Dyn. Syst. Meas. Control 113, 113-117 (1991)
17. Karnopp, D.: Understanding multibody dynamics using bond graph representations. J. Frankl. Inst. B 334(4), 631-642 (1997)
18. Favre, W.: Contribution à la représentation bond graph des systèmes mécaniques multicorps. PhD thesis, INSA de Lyon (1997)
19. McPhee, J.J.: On the use of linear graph theory in multibody system dynamics. Nonlinear Dyn. 9, 73-90 (1996)
20. McPhee, J.J.: Automatic generation of motion equations for planar mechanical systems using the new set of "branch coordinates". Mech. Mach. Theory 33(6), 805-823 (1998)
21. McPhee, J.J.: Virtual prototyping of multibody systems with linear graph theory and symbolic computing. In: Schiehlen, W., Valásek, M. (eds.) Virtual Nonlinear Multibody Systems. NATO Science Series II: Mathematics, Physics and Chemistry, vol. 103, pp. 37-56. Kluwer Academic, Dordrecht (2003)
22. Scherrer, M., McPhee, J.: Dynamic modelling of electromechanical multibody systems. Multibody Syst. Dyn. 9, 87-115 (2003)
23. Shi, P., McPhee, J.: Dynamics of flexible multibody systems using virtual work and linear graph theory. Multibody Syst. Dyn. 4, 355-381 (2000)
24. Shi, P., McPhee, J., Heppler, G.: A deformation field for Euler-Bernoulli beams with applications to flexible multibody dynamics. Multibody Syst. Dyn. 5, 79-104 (2001)
25. Schmitke, C., McPhee, J.: Modelling mechatronic multibody systems using symbolic subsystems models. In: Proc. of the ECCOMAS Conf. on Advances in Computational Multibody Systems, Lisbon, Portugal, July 2003
26. Hadwitch, V., Pfeiffer, K.: The principle of virtual work in mechanical and electromechanical systems. Arch. Appl. Mech. 65, 390-400 (1995)
27. Maisser, P., Enge, O., Freundenberg, G., Kielau, G.: Electromechanical interactions in multibody systems containing electromechanical drives. Multibody Syst. Dyn. 1(3), 281-302 (1997)
28. Rochus, V., Rixen, D., Golinval, J.C.: Monolithic modelling of electromechanical coupling in microstructures. Int. J. Numer. Method. Eng. 65, 461-493 (2005)
29. Rochus, V.: Finite element modelling of strong electro-mechanical coupling in MEMS. PhD thesis, University of Liège (2006)
30. Fisette, P.: Génération symbolique des equations du mouvement de systèmes multicorps et application dans le domaine ferroviaire. PhD thesis, Université Catholique de Louvain (1994)
31. Fisette, P., Samin, J.C.: Robotran symbolic generation of multibody system dynamic equations. In: Advanced Multibody System Dynamics: Simulation and Software Tools, pp. 373-378. Kluwer Academic, Dordrecht (1993)
32. Samin, J.C., Fisette, P.: Symbolic Modeling of Multibody Systems. Kluwer Academic, Dordrecht (2003)
33. Wehage, R.A., Haug, E.J.: Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems. ASME J. Mech. Des. 104, 247-255 (1982)
34. Fisette, P., Péterkenne, J.M., Vaneghem, B., Samin, J.C.: A multibody loop constraints approach for modelling cam/follower devices. Nonlinear Dyn. 22, 335-359 (2000)
35. Telteu, D., Grenier, D., Fisette, P., Labrique, F.: Modélisation et Simulation des Convertisseurs Electroniques de Puissance par Analogie avec les Systèmes Mécaniques. Rev. Int. Génie Electr. (RIGE) 3-4, 429-456 (2003)
36. Géradin, M., Cardona, A.: Flexible Multibody Dynamics: A Finite Element Approach. Wiley, New York (2001)
37. Brenan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, 2nd edn. SIAM, Philadelphia (1996)
38. Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II-Stiff and Differential-Algebraic Problems, 2nd edn. Springer, Berlin (1996)
39. Brüls, O.: Integrated Simulation and Reduced-Order Modeling of Controlled Flexible Multibody Systems. PhD thesis, University of Liège, Belgium (2005)
40. Baumgarte, J.: Stabilization of constraints and integrals of motion in dynamical systems. Comput. Method. Appl. Mech. Eng. 1, 1-16 (1972)
41. Gear, C.W., Leimkuhler, B., Gupta, G.K.: Automatic integration of Euler-Lagrange equations with constraints. J. Comput. Appl. Math. 12-13, 77-90 (1985)
42. Führer, C., Leimkuhler, B.J.: Numerical solution of differential-algebraic equations for constrained mechanical motion. Numer. Math. 59, 55-69 (1991)
43. Fisette, P., Vaneghem, B.: Numerical integration of multibody system dynamic equations using the coordinate partitioning method in an implicit Newmark scheme. Comput. Method. Appl. Mech. Eng. 135, 85-105 (1996)
44. Yen, J.: Constrained equations of motion in multibody dynamics as odes on manifolds. SIAM J. Numer. Anal. 30, 553-568 (1993)
45. Sass, L., McPhee, J., Schmitke, C., Fisette, P., Grenier, D.: A comparison of different methods for modelling electromechanical multibody systems. Multibody Syst. Dyn. 12(3), 209-250 (2004)
46. Cardona, A., Klapka, I., Géradin, M.: Design of a new finite element programming environment. Eng. Comput. 11, 365-381 (1994)
47. Duym, S., Reybrouck, K.: Physical characterization of nonlinear shock absorber dynamics. Eur. J. Mech. Eng. 43(4), 181-188 (1998)
48. Lauwerys, C., Swevers, J., Sas, P.: Model free design for a semi-active suspension of a passenger car. In: Proc. of ISMA 2004, Leuven, Belgium, September 2004
49. Chung, J., Hulbert, G.M.: A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. ASME J. Appl. Mech. 60, 371-375 (1993)
50. Brüls, O., Duysinx, P., Golinval, J.-C.: A unified finite element framework for the dynamic analysis of controlled flexible mechanisms. In: Proc. of the ECCOMAS Conf. on Advances in Computational Multibody Dynamics, Madrid, Spain, June 2005
51. Wong, J.Y.: Theory of Ground Vehicles, 3rd edn. Wiley, New York (2001)
52. Baumal, A.E., McPhee, J.J., Calamai, P.H.: Application of genetic algorithms to the design optimization of an active suspension system. Comput. Method. Appl. Mech. Eng. 163, 87-94 (1998)
53. Els, P.S., Uys, P.E.: Applicability of the dynamic-Q optimization algorithm to vehicle suspension design. Math. Comput. Model. 37, 1029-1046 (2003)
54. Collard, J.-F., Fisette, P., Duysinx, P.: Contribution to the optimization of closed-loop multibody systems: Application to parallel manipulators. Multibody Syst. Dyn. 13, 69-84 (2005)
55. Brüls, O., Duysinx, P., Golinval, J.C.: The global modal parameterization for nonlinear model-order reduction in flexible multibody dynamics. Int. J. Numer. Methods Eng. 69, 948-977 (2007)