Conference article

Multibody Model of a Motorbike with a Flexible Swingarm

Gianni Ferretti
Politecnico Di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria DEIB, Milano, Italy

Bruno Scaglioni
MUSP Lab, Piacenza, Italy

Andrea Rossi
MUSP Lab, Piacenza, Italy

Download articlehttp://dx.doi.org/10.3384/ecp14096273

Published in: Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden

Linköping Electronic Conference Proceedings 96:28, p. 273-282

Show more +

Published: 2014-03-10

ISBN: 978-91-7519-380-9

ISSN: 1650-3686 (print), 1650-3740 (online)

Abstract

Considering the specific case of the multibody modelling of a racing motorbike; where the rigid model of the rear swingarm has been replaced with a flexible one; a general approach to flexible multibody systems modelling in Modelica is presented in this paper. In particular; the steps required to generate the model of a flexible body starting from a FEM analysis; performed with commercial packages; are detailed. Simulations results are shown with reference to a sudden braking and to a series of impacts with curbs. In this last case; an unstable behavior occurred when considering the flexible component; which is currently under investigation.

Keywords

motorcycle dynamics; flexible multibody Systems; finite element method; floating frame of reference; Craig-Bampton method

References

[1] G. Ferretti, G. Magnani, P. Rocco, Virtual prototyping of mechatronic systems, IFAC Journal Annual Reviews in Control 28 (2) (2004) 193–206. DOI: 10.1016/j.arcontrol.2004.02.002

[2] R. R. Craig, M. C. C. Bampton, Coupling of substructures for dynamic analyses, AIAA Journal 6 (7) (1968) 1313–1319. DOI: 10.2514/3.4741

[3] A. Heckmann, M. Otter, S. Dietz, J. D. López, The DLR FlexibleBodies library to model large motions of beams and of exible bodies exported from nite element programs, in: 5th Modelica Conference, Vienna, Austria, 2006, pp. 85–95.

[4] O. Wallrapp, Standardization of flexible body modeling in multibody system codes, Part I: Definition of Standard Input Data, Mechanics Based Design of Structures and Machines 22 (3) (1994) 283–304. DOI: 10.1080/08905459408905214

[5] R. Schwertassek, O. Wallrapp, A. A. Shabana, Flexible multibody simulation and choice of shape functions, Nonlinear Dynamics 20 (1999) 361–380. DOI: 10.1023/A:1008314826838

[6] G. Ferretti, A. Leva, B. Scaglioni, Objectoriented modelling of general flexible multibody systems, Mathematical and Computer Modelling of Dynamical Systems 20 (1) (2014) 1–22. DOI: 10.1080/13873954.2013.807433

[7] A. A. Shabana, Dynamics of Multibody Systems, Cambridge University Press, 1998.

[8] F. Donida, G. Ferretti, S. M. Savaresi, M. Tanelli, Object-oriented modelling and simulation of a motorcycle, Mathematical and Computer Modelling of Dynamical Systems 14 (2) (2008) 79–100. DOI: 10.1080/13873950701847090

[9] Marescotti, L., Modellazione dei sistema pilotaveicolo a due ruote in ambiente integrato Matlab-Adams (in Italian), Master’s thesis, Universita di Pisa (2003).

[10] M. Otter, H. Elmqvist, S. Mattsson, The new Modelica multibody library, in: 3rd Modelica Conference, Linköping, Sweden, 2003.

[11] G. Cocco, Dinamica e tecnica della motocicletta, 2013.

[12] W. Ritz, Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik, Journal für die Reine und Angewandte Mathematik 135 (1909) 1–61.

[13] F. Schiavo, L. Viganò, G. Ferretti, Objectoriented modelling of flexible beams, Multibody System Dynamics 15 (3) (2006) 263–286. DOI: 10.1007/s11044-006-9012-8

[14] J. Fehr, P. Eberhard, Simulation process of flexible multibody systems with non–modal model order reduction techniques, Multibody System Dynamics 25 (2011) 313–334. DOI: 10.1007/s11044-010-9238-3

[15] U. Lugrís, M. A. Naya, A. Luaces, J. Cuadrado, Efficient calculation of the inertia terms in floating frame of reference formulations for flexible multibody dynamics, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 223 (2) (2009) 147–157.

[16] R. Schwertassek, O. Wallrapp, Dynamik flexibler Mehrkörpersysteme, Vieweg, Wiesbaden, 1999. DOI: 10.1007/978-3-322-93975-3

[17] P. Koutsovasilis, M. Beitelschmidt, Comparison of model reduction techniques for large mechanical systems, Multibody System Dynamics 20 (2) (2008) 111–128. DOI: 10.1007/s11044-008-9116-4

[18] M. Lehner, P. Eberhard, A two-step approach for model reduction in flexible multibody dynamics, Multibody System Dynamics 17 (2007) 157– 176. DOI: 10.1007/s11044-007-9039-5

[19] C. Nowakowski, J. Fehr, M. Fischer, P. Eberhard, Model order reduction in elastic multibody systems using the floating frame of reference formulation, in: 7th Vienna International Conference on Mathematical Modelling - MATHMOD 2012, Vienna, Austria, 2012.

Citations in Crossref