Multiphysics modeling and optimization of mechatronic multibody systems

Samin, Jean-Claude; Bruls, Olivier; Collard, Jean-François; Sass, Laurent; Fisette, Paul

doi:10.1007/s11044-007-9076-0

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Article (Scientific journals)

Multiphysics modeling and optimization of mechatronic multibody systems

Samin, Jean-Claude; Bruls, Olivier; Collard, Jean-François et al.

2007 • In Multibody System Dynamics, 18 (3), p. 345-373

Peer reviewed

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https://hdl.handle.net/2268/14607

DOI
10.1007/s11044-007-9076-0

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Keywords :

multibody; multiphysics; modeling; optimization

Abstract :

[en] Modeling mechatronic multibody systems requires the same type of methodology as for designing and prototyping mechatronic devices: a unified and integrated engineering approach. Various formulations are currently proposed to deal with multiphysics modeling, e.g., graph theories, equational approaches, co-simulation techniques. Recent works have pointed out their relative advantages and drawbacks, depending on the application to deal with: model size, model complexity, degree of coupling, frequency range, etc. This paper is the result of a close collaboration between three laboratories, and aims at showing that for "non-academic" mechatronic applications (i.e., issuing from real industrial issues), multibody dynamics formulations can be generalized to mechatronic systems, for the model generation as well as for the numerical analysis phases. Model portability being also an important aspect of the work, they must be easily interfaced with control design and optimization programs. A global "demonstrator", based on an industrial case, is discussed: multiphysics modeling and mathematical optimization are carried out to illustrate the consistency and the efficiency of the proposed approaches.

Disciplines :

Physics
Mechanical engineering

Author, co-author :

Samin, Jean-Claude

Bruls, Olivier ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Collard, Jean-François

Sass, Laurent

Fisette, Paul

Language :

English

Title :

Multiphysics modeling and optimization of mechatronic multibody systems

Publication date :

October 2007

Journal title :

Multibody System Dynamics

ISSN :

1384-5640

eISSN :

1573-272X

Publisher :

Springer, Dordrecht, Netherlands

Volume :

Issue :

Pages :

345-373

Peer reviewed :

Peer reviewed

Available on ORBi :

since 16 June 2009

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Bibliography

Gear, C.W., Wells, D.R.: Multirate linear multistep methods. BIT 24, 482-502 (1984)
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)
Rükgauer, A., Schiehlen, W.: Simulation of modular dynamic systems. Comput. Struct. 46, 535-542 (1998)
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)
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)
Kübler, R., Schiehlen, W.: Two methods of simulator coupling. Math. Comput. Model. Dyn. Syst. 6(2), 93-113 (2000)
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
Van Brussel, H.: Mechatronics-a powerful concurrent engineering framework. IEEE/ASME Trans. Mechatron. 1(2), 127-136 (1996)
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
Tiller, M.M.: Introduction to Physical Modeling with Modelica. Kluwer Academic, Dordrecht (2001)
Koenig, H.E., Tokad, Y., Kesavan, H.K., Hedges, H.G.: Analysis of Discrete Physical Systems. McGraw-Hill, New York (1967)
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/
Paynter, H.: Analysis and Design of Engineering Systems. MIT Press, Cambridge (1961)
Karnopp, D., Margolis, D.L., Rosenberg, R.C.: System Dynamics: Modeling and Simulation of Mechatronic Systems, 3rd edn. Wiley, New York (2000)
Bonderson, L.: Vector bond graphs applied to one-dimensional distributed systems. J. Dyn. Syst. Meas. Control 97(1), 75-82 (1975)
Ingrim, M.E., Masada, G.Y.: The extended bond-graph notation. J. Dyn. Syst. Meas. Control 113, 113-117 (1991)
Karnopp, D.: Understanding multibody dynamics using bond graph representations. J. Frankl. Inst. B 334(4), 631-642 (1997)
Favre, W.: Contribution à la représentation bond graph des systèmes mécaniques multicorps. PhD thesis, INSA de Lyon (1997)
McPhee, J.J.: On the use of linear graph theory in multibody system dynamics. Nonlinear Dyn. 9, 73-90 (1996)
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)
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)
Scherrer, M., McPhee, J.: Dynamic modelling of electromechanical multibody systems. Multibody Syst. Dyn. 9, 87-115 (2003)
Shi, P., McPhee, J.: Dynamics of flexible multibody systems using virtual work and linear graph theory. Multibody Syst. Dyn. 4, 355-381 (2000)
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)
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
Hadwitch, V., Pfeiffer, K.: The principle of virtual work in mechanical and electromechanical systems. Arch. Appl. Mech. 65, 390-400 (1995)
Maisser, P., Enge, O., Freundenberg, G., Kielau, G.: Electromechanical interactions in multibody systems containing electromechanical drives. Multibody Syst. Dyn. 1(3), 281-302 (1997)
Rochus, V., Rixen, D., Golinval, J.C.: Monolithic modelling of electromechanical coupling in microstructures. Int. J. Numer. Method. Eng. 65, 461-493 (2005)
Rochus, V.: Finite element modelling of strong electro-mechanical coupling in MEMS. PhD thesis, University of Liège (2006)
Fisette, P.: Génération symbolique des equations du mouvement de systèmes multicorps et application dans le domaine ferroviaire. PhD thesis, Université Catholique de Louvain (1994)
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)
Samin, J.C., Fisette, P.: Symbolic Modeling of Multibody Systems. Kluwer Academic, Dordrecht (2003)
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)
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)
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)
Géradin, M., Cardona, A.: Flexible Multibody Dynamics: A Finite Element Approach. Wiley, New York (2001)
Brenan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, 2nd edn. SIAM, Philadelphia (1996)
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II-Stiff and Differential-Algebraic Problems, 2nd edn. Springer, Berlin (1996)
Brüls, O.: Integrated Simulation and Reduced-Order Modeling of Controlled Flexible Multibody Systems. PhD thesis, University of Liège, Belgium (2005)
Baumgarte, J.: Stabilization of constraints and integrals of motion in dynamical systems. Comput. Method. Appl. Mech. Eng. 1, 1-16 (1972)
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)
Führer, C., Leimkuhler, B.J.: Numerical solution of differential-algebraic equations for constrained mechanical motion. Numer. Math. 59, 55-69 (1991)
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)
Yen, J.: Constrained equations of motion in multibody dynamics as odes on manifolds. SIAM J. Numer. Anal. 30, 553-568 (1993)
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)
Cardona, A., Klapka, I., Géradin, M.: Design of a new finite element programming environment. Eng. Comput. 11, 365-381 (1994)
Duym, S., Reybrouck, K.: Physical characterization of nonlinear shock absorber dynamics. Eur. J. Mech. Eng. 43(4), 181-188 (1998)
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
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)
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
Wong, J.Y.: Theory of Ground Vehicles, 3rd edn. Wiley, New York (2001)
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)
Els, P.S., Uys, P.E.: Applicability of the dynamic-Q optimization algorithm to vehicle suspension design. Math. Comput. Model. 37, 1029-1046 (2003)
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)
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)