Skip to main content
Top

2022 | OriginalPaper | Chapter

11. Analysis of Friction Induced Mode Coupling Instabilities Using Dynamic Substructuring

Authors : Jacopo Brunetti, Walter D’Ambrogio, Annalisa Fregolent

Published in: Dynamic Substructures, Volume 4

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference 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)CrossRef 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)CrossRef
2.
go back to reference Sjövall, P., Abrahamsson, T., Substructure system identification from coupled system test data. Mech. Syst. Signal Proces. 22(1), 15–33 (2008)CrossRef Sjövall, P., Abrahamsson, T., Substructure system identification from coupled system test data. Mech. Syst. Signal Proces. 22(1), 15–33 (2008)CrossRef
3.
go back to reference 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)CrossRef 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)CrossRef
4.
go back to reference 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)CrossRef 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)CrossRef
5.
go back to reference Rixen, D.: A dual Craig-Bampton method for dynamic substructuring. J. Comput. Appl. Math. 168(1–2), 383–391 (2004)MathSciNetCrossRef Rixen, D.: A dual Craig-Bampton method for dynamic substructuring. J. Comput. Appl. Math. 168(1–2), 383–391 (2004)MathSciNetCrossRef
6.
go back to reference 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) 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)
7.
go back to reference 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) 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)
8.
go back to reference Kalaycıoğlu, T., Özgüven, H.N.: Nonlinear structural modification and nonlinear coupling. Mech. Syst. Signal Proces. 46(2), 289–306 (2014)CrossRef Kalaycıoğlu, T., Özgüven, H.N.: Nonlinear structural modification and nonlinear coupling. Mech. Syst. Signal Proces. 46(2), 289–306 (2014)CrossRef
9.
go back to reference Latini, F., Brunetti, J., D’Ambrogio, W. Fregolent, A.: Substructures’ coupling with nonlinear connecting elements. Nonlinear Dyn. 99(2), 1643–1658 (2020)CrossRef Latini, F., Brunetti, J., D’Ambrogio, W. Fregolent, A.: Substructures’ coupling with nonlinear connecting elements. Nonlinear Dyn. 99(2), 1643–1658 (2020)CrossRef
10.
go back to reference 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)CrossRef 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)CrossRef
11.
go back to reference 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) 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)
12.
go back to reference 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) 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)
13.
go back to reference 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) 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)
14.
go back to reference 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) 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)
15.
go back to reference 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) 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)
16.
go back to reference Brunetti, J., D’Ambrogio, W. Fregolent, A.: Dynamic coupling of substructures with sliding friction interfaces. Mech. Syst. Signal Proces. 141, 106731 (2020)CrossRef Brunetti, J., D’Ambrogio, W. Fregolent, A.: Dynamic coupling of substructures with sliding friction interfaces. Mech. Syst. Signal Proces. 141, 106731 (2020)CrossRef
17.
go back to reference 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.: 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)
18.
go back to reference 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.: 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)
20.
go back to reference Akay, A.: Acoustics of friction. J. Acoust. Soc. Am. 111(4), 1525–1548 (2002)CrossRef Akay, A.: Acoustics of friction. J. Acoust. Soc. Am. 111(4), 1525–1548 (2002)CrossRef
21.
go back to reference Renouf, M., Massi, F., Saulot, A., Fillot, N.: Numerical tribology of dry contact. Tribol. Int. 44(7–8), 834–844 (2011)CrossRef Renouf, M., Massi, F., Saulot, A., Fillot, N.: Numerical tribology of dry contact. Tribol. Int. 44(7–8), 834–844 (2011)CrossRef
22.
go back to reference 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)CrossRef 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)CrossRef
23.
go back to reference 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)CrossRef 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)CrossRef
24.
go back to reference 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)CrossRef 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)CrossRef
25.
go back to reference 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) 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)
26.
go back to reference 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)CrossRef 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)CrossRef
27.
go back to reference 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)CrossRef 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)CrossRef
28.
go back to reference 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)CrossRef 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)CrossRef
29.
go back to reference 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)CrossRef 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)CrossRef
30.
go back to reference Hoffmann, N., Gaul, L.: A sufficient criterion for the onset of sprag-slip oscillations. Arch. Appl. Mech. 73(9–10), 650–660 (2004)CrossRef Hoffmann, N., Gaul, L.: A sufficient criterion for the onset of sprag-slip oscillations. Arch. Appl. Mech. 73(9–10), 650–660 (2004)CrossRef
31.
go back to reference 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)CrossRef 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)CrossRef
32.
go back to reference 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)CrossRef 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)CrossRef
Metadata
Title
Analysis of Friction Induced Mode Coupling Instabilities Using Dynamic Substructuring
Authors
Jacopo Brunetti
Walter D’Ambrogio
Annalisa Fregolent
Copyright Year
2022
DOI
https://doi.org/10.1007/978-3-030-75910-0_11