Interface reduction in flexible multibody systems

Interface reduction in flexible multibody systems

Alessandro CAMMARATA, Pietro Davide MADDÌO, Rosario SINATRA

download PDF

Abstract. The problem of imposing the reference conditions in a floating frame of reference formulation is coupled with the necessity to reduce the interfaces to virtual nodes required to define the multibody joints. Two methods are implemented for rigid and interpolation multipoint constraints, and the reference condition matrix is derived employing all the interface dofs. The case study of a slider-crank mechanism is discussed to show how different sets of reference conditions can modify the system’s dynamics.

Floating Frame of Reference, Multipoint Constraints, Reference Conditions

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Alessandro CAMMARATA, Pietro Davide MADDÌO, Rosario SINATRA, Interface reduction in flexible multibody systems, Materials Research Proceedings, Vol. 26, pp 653-658, 2023


The article was published as article 105 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

[1] Allen, M. S., Rixen, D., Van der Seijs, M., Tiso, P., Abrahamsson, T., & Mayes, R. L. Substructuring in engineering dynamics. Springer International Publishing, 2020.
[2] M. Nastran, Basic dynamic analysis user’s guide, MSC. Software Corporation. USA 546, 2004.
[3] G. H. Heirman, W. Desmet, Interface reduction of flexible bodies for efficient modeling of body flexibility in multibody dynamics, Multibody System Dynamics 24 (2) (2010) 219–234.
[4] Shabana, A. Dynamics of multibody systems. Cambridge university press, 2020.
[5] Shabana, A.A., Wang, G., Kulkarni, S., Further investigation on the coupling between the reference and elastic displacements in flexible body dynamics, J.Sound Vib. 427 (2018) 159–177.
[6] Cammarata, A., Pappalardo, C.M., On the use of component mode synthesis methods for the model reduction of flexible multibody systems within the floating frame of reference formulation, Mech. Syst. Signal Process. 142 (2020) 106745.
[7] Cammarata, A., Sinatra, R., Maddio, P.D., A two-step algorithm for the dynamic reduction of flexible mechanisms, Mechanisms and Machine Science, 66, (2019), 25–32.
[8] Tanev, T.K., Cammarata, A., Marano, D., Sinatra, R. Elastostatic model of a new hybrid minimally-invasive-surgery robot, 2015 IFToMM World Congress Proc., IFToMM, (2015).
[9] Huang, Z., Xi, F., Huang, T., Dai, J.S., Sinatra, R. Lower-mobility parallel robots: Theory and applications, Advances in Mechanical Engineering, 2010, n. 927930, (2010).
[10] Cammarata, A., J. Angeles, and R. Sinatra. “The dynamics of parallel Schönflies motion generators: the case of a two-limb system.” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 223.1 (2009): 29-52.
[11] Cammarata, A., Sinatra, R., and Maddìo, P. D., Interface reduction in flexible multibody systems using the Floating Frame of Reference Formulation. Journal of Sound and Vibration, 523, 116720, (2022).
[12] Mauro, S., Şener, R., Gül, M. Z., Lanzafame, R., Messina, M., and Brusca, S., Internal combustion engine heat release calculation using single-zone and CFD 3D numerical models. International Journal of Energy and Environmental Engineering, 9(2), (2018), 215-226.