Abstract
In this paper a new method is developed for the dynamic analysis of contact conditions in flexible multibody systems undergoing a rolling type of motion. The relative motion between the two contacting bodies is treated as a constraint condition describing their kinematic and geometric relations. Equations of motion of the system are presented in a matrix form making use of Kane's equations and finite element method. The method developed has been implemented in a general purpose program called DARS and applied to the simulation and analysis of a rotating wheel on a track. Both the bodies are assumed flexible and discretized using a three dimensional 8-noded isoparametric elements. The time variant constraint conditions are imposed on the nodal points located at the peripheral surfaces of the bodies under consideration. The simulation is carried out under two different boundary conditions describing the support of the track. The subsequent constraint forces associated with the generalized coordinates of the system are computed and plotted. The effects of friction are also discussed.
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References
Hwang, R. S. and Hang, E. J., ‘Translational joint in flexible multibody dynamics’, ASME Design and Mechanism Conference, Montreal, Quebec, Canada, Sept. 1989.
Li, D. and Likins, P. W., “Dynamics of multibody systems with relative translation on curved, flexible tracks’, Journal of Navigation, Guidance and Controls 10, 1987, 299–306.
Amirouche, F. M. L., Shareef, N. H., and Xie, M., ‘Dynamic analysis of flexible gear trains/transmissions—An automated approach’, The 13th Biennial ASME Conference, Mechanical Vibration and Noise, Miami, FL, Sept. 1991, DE 34, Machinery Dynamics and Element Vibrations ASME, 1991, 261–266.
Shareef, N. H. and Amirouche, F. M. L., ‘Implementation of 3-D isoparametric finite elements on supercomputer for the formulation of recursive dynamical equations of multibody systems’, Nonlinear Dynamics 2, 1991, 319–334.
Amirouche, F. M. L., Shareef, N. H., and Xie, M., ‘Time variant analysis of constrained rotorcraft systems dynamics—An exploitation of vector-processors’, AIAA Guidance, Navigation and Control Conference, New Orleans, LA, Aug. 1991.
Adams, G. G. and Bogy, D. B., ‘Steady solutions for moving loads on elastic beams with dre-sided constraints’, ASME Journal of Applied Mechanics 42, 1975, 97E.
Clark, S. K., Mechanics of Pneumatic Tires, U.S. Department of Transportation, National Highway Traffic Safety Administration, 1981.
Padovan, J., Kennedy, R., and Nakajima, Y., ‘Finite element analysis of steady and transiently moving/rolling nonlinear viscoelastic structure, I, II, III’, Computers & Structures 27, 1987, 249–286.
Padovan, J. and Kazempour, A., ‘Multibody instantly centered moving Lagrangian observer schemes, I, II’, Computers & Structures 32, 1987, 93–111.
Zeid, I. and Padovan, J., “Finite element modeling of rolling contact’, Computers & Structures 14, 1981, 163–170.
Amirouche, F. M. L. and Xie, M., ‘Dynamic analysis of flexible multibody systems with time variant mode shapes’, The 13th Biennial ASME Conference, Mechanical Vibration and Noise, Miami, FL, Sept. 1991, DE 36, Machinery Dynamics and Element Vibrations, ASME, 1991, 257–262.
Amirouche, F. M. L., Computational Methods in Multibody Dynamics, Prentice Hall, NY, 1992.
Xie, M. and Amirouche, F. M. L., ‘Consideration of high temperature, elastic-plastic deformations in multibody dynamics’, Journal of Applied Mechanics, in review.
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Amirouche, F.M.L., Xie, M., Shareef, N.H. et al. Finite element modeling of contact conditions in multibody system dynamics. Nonlinear Dyn 4, 83–102 (1993). https://doi.org/10.1007/BF00047122
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DOI: https://doi.org/10.1007/BF00047122