Abstract
This paper presents two examples of calculations for vehicles with flexible bodies by using mixed multibody and finite element methods. The first example deals with dynamics computations for a bimodal train with a flexible cistern, whereas the second example concerns the dynamics calculations for the PW-6 glider. In the first example, the influence of the chosen friction model on the train dynamics calculations results was discussed. The second example presents several methods of stress calculations and a comparison of results. The achieved conclusions may be used as suggestions towards a modelling method choice for a given problem.Both issues being discussed are of great importance in dynamics of flexible multibody systems modelling practice and durability assessment.
In both examples, the kinematics of the system was presented in absolute coordinates, the motion equations in the DAE form, and the reduction of the number of degrees of freedom was achieved by means of the Craig–Bampton (CB) method.
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References
Shabana, A.A., Dynamics of Multibody Systems, Wiley, New York, 1998.
Kane, T.R., Ryan, R.R., and Banerjee, A.K., ‘Dynamics of a cantilever beam attached to a moving base’, AIAA Journal of Guidance, Control and Dynamics 10, 1987, 139–151.
Ambrosio, J., ‘Geometric and material nonlinear deformation in flexible multibody systems’, in Proceedings of the NATO-ARW on Computational Aspects of Nonlinear Structural Systems, Poland, 2000, 91–115.
Haug, E.J., Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volume I: Basic Methods, Allyn and Bacon, Boston, 1989.
Garcia de J. and Eduardo B., Kinematic and Dynamic Simulation of Multibody Systems. Springer-Verlag, New York, 1994.
Brenan, K.E., Cambpell, S.L., and Petzold, L.R., Numerical Solution of Initial Value Problems in DAE. SIAM, Philadelphia, 1996.
Hairer, E. and Wanner, G., Solving Ordinary Differential Equations II, 2nd edn. Springer Verlag, Berlin, 1996.
Haug, E.J., Wu, S.C., and Yang, S.M., ‘Dynamics of mechanical systems with coulomb friction, stiction, impact, and constraints addition, deletion. Part I, II, III’, Mechanism and Machine Theory 21, 1986, 401–425.
Armstrong-Helouvry, B. and Dupont, P., ‘A survey of models, analysis tools and compensation methods for the control of machines with friction’, Automatica 30(7), 1994, 1083–1138.
Sohoni, V., Joint Friction Modelling in ADAMS 10.0. Draft, 2000.
Frączek, J., ‘Dynamics of mechanical systems with coulomb friction. Part I. Theory’, The Archive of Mechanical Engineering XL, 1993, 208–215.
Craig, R.R., ‘Substructure methods in vibration’, Transactions of the ASME – Special 50th Anniversary Design Issue 117, 1995, 207–213.
McConville, J., Survey of FEA-Based Stress Methods in ADAMS – Aircraft Model Case Study, Internal MDI materials.
Schwertassek, R. and Wallrap, O., Dynamics of Flexible Multi Body Systems, Vieweg, Germany, 1999.
Claus, H., ‘A deformation approach to stress distribution in flexible multibody systems’, Multibody System Dynamics 6, 2001, 143–161.
Yim, H.J., Haug, E.J., and Dopker, B., ‘Computational methods for stress analysis of mechanical components in dynamic systems, in Concurrent Engineering of Mechanical Systems, Vol.1, Haug, E.J. (ed.), University of Iowa, Iowa City, 1989, 217–237.
Fischer, P. and Witteveen, W., Integrated MBS-FE-Durability Analysis of Truck Frame Components by Modal Stresses, MDI Conference, Rome, 2000.
Madej, J. (ed), ‘The Technics of Rail–Road (Bimodal) Transport (in Polish) Research Institute of Rolling-Stock Industry’, Poznań, 2000.
Matej, J., Piotrowski, J., Wojtyra, M., and Frączek, J., ‘Modelling and safety examination of the long bimodal train on curved track using ADAMS{/}RAIL’, Proceedings of the 1st MSC.ADAMS European User Conference (CDROM), Londyn, U.K., November, 2002.
Kik, W. and Piotrowski, J.P., ‘A fast approximate method to calculate normal load at contact between weel and rail and creep forces during rolling’, in Proceedings of the 2nd Mini Conference on Contact Mechanics and Wear of Rail/Wheel Systems, Ed. I. Zabory TU Budapest, 1996.
MSC.ADAMS 2003 Theory, – Wheel–Rail Element Reference Guide, MSC, 2003.
PW-6, Technical Documentation, DWLKK, Warsaw.
Frączek, J., Modelling of Spatial Mechanisms Using Multibody Method, WPW, Warsaw, 2002 (in Polish).
Żebrowski, J., ‘Dynamical Analysis of PW-6 glider using MBS and FEM’, MSc Thesis, Supervisor Frączek J. {&} A. Dacko.
Arczewski, K., ‘Application of graph theory to the determination of kinetic energy of rigid body systems’, Journal of the Franklin Institute 324(3), 1987, 351–367.
Issa, S.M. and Arczewski, K., ‘Wings in steady and unsteady ground effects’, Canadian Aeronautics and Space Journal 44(3), 1998, 188–193.
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Arczewski, K., Frączek, J. Friction Models and Stress Recovery Methods in Vehicle Dynamics Modelling. Multibody Syst Dyn 14, 205–224 (2005). https://doi.org/10.1007/s11044-005-4183-2
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DOI: https://doi.org/10.1007/s11044-005-4183-2