Abstract
In complex vibrating systems, contact and friction forces can produce a dynamic response of the system (friction induced vibrations). They can arise when different parts of the system move one with respect to the other generating friction force at the contact interface. Component mode synthesis and more in general substructuring techniques represent a useful and widespread tool to investigate the dynamic behavior of complex systems, but classical techniques require that the component subsystems and the coupling conditions (compatibility of displacements and equilibrium of forces) are time invariant. In previous papers, it was shown that contact problems can be cast in the framework of dynamic substructuring by considering the models of the component substructures as time invariant, while the coupling conditions must be time dependent. In this paper a substructuring method is proposed that, depending on the contact assumption, is able either to account only for the macroscopic sliding between substructures, or to consider also the local vibrations of the contact points or to consider also the geometric nonlinearity due to the elastic deformation. This allows to adapt the contact algorithm to the contact problem that must be tackled, i.e. position dependent dynamics or friction induced vibrations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
de Klerk, D., Rixen, D.J., Voormeeren, S.: General framework for dynamic substructuring: history, review, and classification of techniques. AIAA J. 46(5), 1169–1181 (2008)
Sjövall, P., Abrahamsson, T., Substructure system identification from coupled system test data. Mech. Syst. Signal Proces. 22(1), 15–33 (2008)
D’Ambrogio, W., Fregolent, A.: Inverse dynamic substructuring using direct hybrid assembly in the frequency domain. Mech. Syst. Signal Proces. 45(2), 360–377 (2014)
Mayes, R.L., Ross, M.R.: Advancements in hybrid dynamic models combining experimental and finite element substructures. Mech. Syst. Signal Proces. 31, 56–66 (2012)
Rixen, D.: A dual Craig-Bampton method for dynamic substructuring. J. Comput. Appl. Math. 168(1–2), 383–391 (2004)
D’Ambrogio, W., Fregolent, A.: Are rotational DoFs essential in substructure decoupling?. In: Allen, M., Mayes, R. Rixen, D. (eds.) Dynamics of Coupled Structures, vol. 1. Conference Proceedings of the Society for Experimental Mechanics Series, pp. 27–36. Springer International Publishing, Cham (2014)
Kuether, R.J. Allen, M.S.: Nonlinear modal substructuring of systems with geometric nonlinearities. In:s 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, p. 1521 (2013)
Kalaycıoğlu, T., Özgüven, H.N.: Nonlinear structural modification and nonlinear coupling. Mech. Syst. Signal Proces. 46(2), 289–306 (2014)
Latini, F., Brunetti, J., D’Ambrogio, W. Fregolent, A.: Substructures’ coupling with nonlinear connecting elements. Nonlinear Dyn. 99(2), 1643–1658 (2020)
Krattiger, D., Wu, L., Zacharczuk, M., Buck, M., Kuether, R., Allen, M., Tiso, P. Brake, M.: Interface reduction for Hurty/Craig-Bampton substructured models: Review and improvements. Mech. Syst. Signal Proces. 114, 579–603 (2019)
Brunetti, J., D’Ambrogio, W., Fregolent, A. Latini, F.: Substructuring using NNMS of nonlinear connecting elements. Lecture Notes in Mechanical Engineering, pp. 1426–1440 (2020)
Latini, F., Brunetti, J., Kwarta, M., Allen, M.S., D’Ambrogio, W., Fregolent, A.: Experimental results of nonlinear structure coupled through nonlinear connecting elements. In: Proceedings of ISMA 2020 – International Conference on Noise and Vibration Engineering and USD 2020 – International Conference on Uncertainty in Structural Dynamics (2020)
Rixen, D.J. van der Valk, P.L.: An Impulseb based substructuring approach for impact analysis and load case simulations. J. Sound Vib. 332(26), 7174 – 7190 (2013)
van der Valk, P.L., Rixen, D.J.: An impulse based substructuring method for coupling impulse response functions and finite element models. Comput. Methods Appl. Mech. Eng. 275(Supplement C), 113–137 (2014)
Carassale, L., Silvestri, P., Lengu, R. Mazzaron, P.: Modeling rail-vehicle coupled dynamics by a time-varying substructuring scheme. In: Linderholt, A., Allen, M.S., Mayes, R.L. Rixen, D. (eds.) Dynamic Substructures, vol. 4, pp. 167–171. Springer International Publishing, Cham (2020)
Brunetti, J., D’Ambrogio, W. Fregolent, A.: Dynamic coupling of substructures with sliding friction interfaces. Mech. Syst. Signal Proces. 141, 106731 (2020)
Brunetti, J., D’Ambrogio, W., Fregolent, A.: Contact problems in the framework of dynamic substructuring. In: Proceedings of ISMA 2018 – International Conference on Noise and Vibration Engineering and USD 2018 – International Conference on Uncertainty in Structural Dynamics, pp. 3987–3998 (2018)
Brunetti, J., D’Ambrogio, W., Fregolent, A.: Dynamic substructuring with time variant coupling conditions for the analysis of friction induced vibrations. In: Proceedings of ISMA 2020 – International Conference on Noise and Vibration Engineering and USD 2020 – International Conference on Uncertainty in Structural Dynamics, pp. 3023–3032 (2020)
Brunetti, J., D’Ambrogio, W., Fregolent, A.; Friction-induced vibrations in the framework of dynamic substructuring. Nonlinear Dynamics, 103(4), 3301–3314 (2021). https://doi.org/10.1007/s11071-020-06081-9
Akay, A.: Acoustics of friction. J. Acoust. Soc. Am. 111(4), 1525–1548 (2002)
Renouf, M., Massi, F., Saulot, A., Fillot, N.: Numerical tribology of dry contact. Tribol. Int. 44(7–8), 834–844 (2011)
Batailly, A., Legrand, M., Cartraud, P., Pierre, C.: Assessment of reduced models for the detection of modal interaction through rotor stator contacts. J. Sound Vib. 329(26), 5546–5562 (2010)
Ibrahim, R.A.: Friction-induced vibration, chatter, squeal, and chaos – part I: mechanics of contact and friction. Appl. Mech. Rev. 47(7), 209–226 (1994)
Tonazzi, D., Passafiume, M., Papangelo, A., Hoffmann, N., Massi, F.: Numerical and experimental analysis of the bi-stable state for frictional continuous system. Nonlinear Dyn. 102(3), 1361–1374 (2020)
Brunetti, J., Massi, F., D’Ambrogio, W. Baillet, L.: Steady state of modal coupling instabilities as a dynamic energy equilibrium. In: Proceedings of ISMA 2014 – International Conference on Noise and Vibration Engineering, Leuven, pp. 1827–1842 (2014)
Adams, G.G.: Steady sliding of two elastic half-spaces with friction reduction due to interface stick-slip. J. Appl. Mech. 65(2), 470–475 (1998)
Tonazzi, D., Massi, F., Culla, A., Baillet, L., Fregolent, A, Berthier, Y.: Instability scenarios between elastic media under frictional contact. Mech. Syst. Signal Proces. 40(2), 754–766 (2013)
Papangelo, A., Hoffmann, N., Grolet, A., Stender, M., Ciavarella, M.: Multiple spatially localized dynamical states in friction-excited oscillator chains. J. Sound Vib. 417, 56–64 (2018)
Sinou, J.-J., Thouverez, F., Jézéquel, L.: Analysis of friction and instability by the centre manifold theory for a non-linear sprag-slip model. J. Sound Vib. 265(3), 527–559 (2003)
Hoffmann, N., Gaul, L.: A sufficient criterion for the onset of sprag-slip oscillations. Arch. Appl. Mech. 73(9–10), 650–660 (2004)
Di Bartolomeo, M., Lacerra, G., Baillet, L., Chatelet, E., Massi, F.: Parametrical experimental and numerical analysis on friction-induced vibrations by a simple frictional system. Tribol. Int. 112, 47–57 (2017)
Carpenter, N.J., Taylor, R.L., Katona, M.G.: Lagrange constraints for transient finite element surface contact. Int. J. Numer. Methods Eng. 32(1), 103–128 (1991)
Acknowledgements
This research is supported by University of Rome La Sapienza and University of L’Aquila.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Brunetti, J., D’Ambrogio, W., Fregolent, A. (2022). Analysis of Friction Induced Mode Coupling Instabilities Using Dynamic Substructuring. In: Allen, M.S., D'Ambrogio, W., Roettgen, D. (eds) Dynamic Substructures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-75910-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-75910-0_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-75909-4
Online ISBN: 978-3-030-75910-0
eBook Packages: EngineeringEngineering (R0)