Skip to main content

Reduced Order Modeling of Nonlinear Structures with Frictional Interfaces

  • Chapter
  • First Online:
The Mechanics of Jointed Structures

Abstract

Over the past decade, a number of phenomenologically different approaches to modeling and simulating the dynamics of a jointed structure have been proposed. This chapter presents and assesses multiple modeling techniques to predict the nonlinear dynamic behavior of a bolted lab joint, including frequency based sub-structuring methods, harmonic balance methods, and nonlinearly coupled reduced order model transient simulations. The regimes in which each method is best suited are identified, and recommendations are made for how to select a modeling method and for advancing numerical modeling of discrete nonlinearities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • M. Boeswald, M. Link, Experimental and analytical investigations of non-linear cylindrical casing joints using base excitation testing, in 21st International Modal Analysis Conference (IMAC XXI), St. Louis, MO, 2006

    Google Scholar 

  • S. Bograd et al., Modeling the dynamics of mechanical joints. Mech. Syst. Signal Process. 25, 2801–2826 (2011)

    Article  Google Scholar 

  • M.R. Brake, IMEX-a: an adaptive, fifth order implicit-explicit integration scheme. SAND2013-4299, Sandia National Laboratories, Albuquerque, NM (2013)

    Google Scholar 

  • M.R.W. Brake et al., The 2014 Sandia Nonlinear Mechanics and Dynamics Summer Research Institute. SAND2015-1876, Sandia National Laboratories, Albuquerque, NM (2015)

    Google Scholar 

  • S. Catalfamo et al., Effects of experimental methods on the measurement of a nonlinear system, in 34th International Modal Analysis Conference (IMAC XXXIV), Orlando, FL, 2016

    Google Scholar 

  • E. Cigeroglu, H.N. Ozguven, Nonlinear vibration analysis of bladed disks with dry friction dampers. J. Sound Vib. 295, 1028–1043 (2006)

    Article  Google Scholar 

  • R.R. Craig, M.C.C. Bampton, Coupling of substructures for dynamic analyses. AIAA J. 6(7), 1313–1319 (1968)

    Article  MATH  Google Scholar 

  • B.J. Deaner et al., Application of viscous and Iwan modal damping models to experimental measurements from bolted structures. ASME J. Vib. Acoust. 137, 021012 (2015)

    Article  Google Scholar 

  • H.C. Edwards, Sierra framework version 3: core services theory and design. SAND2002-3616, Sandia National Laboratories, Albuquerque, NM (2002)

    Google Scholar 

  • R.C. Flicek et al., Stress waves propagating through jointed connections, in 34th International Modal Analysis Conference (IMAC XXXIV), Orlando, FL, 2016

    Google Scholar 

  • L.E. Goodman, A review of progress in analysis of interfacial slip damping, in Structural Damping, ed. by J.E. Ruzicka (ASME, New York, 1959), pp. 36–48

    Google Scholar 

  • Y. Luan et al., A simplified nonlinear dynamic model for the analysis of pipe structures with bolted flange joints. J. Sound Vib. 331, 325–344 (2011)

    Article  Google Scholar 

  • E.P. Petrov, A high-accuracy model reduction for analysis of nonlinear vibrations in structures with contact interfaces, in ASME Turbo Expo 2010: Power for Land, Sea and Air, Glasgow, 2010

    Google Scholar 

  • E.P. Petrov, D.J. Ewins, Analytical formulation of friction interface elements for analysis of nonlinear multiharmonic vibrations of bladed discs. ASME J. Turbomach. 125, 364–371 (2002)

    Article  Google Scholar 

  • E.P. Petrov, D.J. Ewins, Generic friction models for time-domain vibration analysis of bladed disks. ASME J. Turbomach. 126, 184–192 (2004)

    Article  Google Scholar 

  • D.R. Roettgen, M.S. Allen, Nonlinear characterization of a bolted, industrial structure using a modal framework. Mech. Syst. Signal Process. 84, 152–170 (2017). http://www.sciencedirect.com/science/article/pii/S0888327015005269

    Article  Google Scholar 

  • C.W. Schwingshackl, E.P. Petrov, D.J. Ewins, Measured and estimated friction interface parameters in a nonlinear dynamic analysis. Mech. Syst. Signal Process. 28, 574–584 (2012)

    Article  Google Scholar 

  • C.W. Schwingshackl et al., Modeling and validation of the nonlinear dynamic behavior of bolted flange joints. ASME J. Eng. Gas Turbines Power 135, 122504-1–8 (2013)

    Google Scholar 

  • D.J. Segalman, A four-parameter Iwan model for lap-type joints. ASME J. Appl. Mech. 72, 752–760 (2005)

    Article  MATH  Google Scholar 

  • D.J. Segalman et al., Handbook on dynamics of jointed structures. Technical Report SAND2009-4164, Sandia National Laboratories, Albuquerque, NM (2009)

    Google Scholar 

  • C. Soize, Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions. Int. J. Numer. Methods Eng. 81, 939–970 (2010)

    MathSciNet  MATH  Google Scholar 

  • M.J. Starr et al., Proceedings of the Third International Workshop on Jointed Structures. Technical Report SAND2013-6655, Sandia National Laboratories, Albuquerque, NM (2013)

    Google Scholar 

  • X.Q. Wang, M.P. Mignolet, Stochastic Iwan-type model of a bolted joint: formulation and identification, in 32nd International Modal Analysis Conference (IMAC XXXII), Orlando, FL, 2014

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Matthew R. W. Brake .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Brake, M.R.W. et al. (2018). Reduced Order Modeling of Nonlinear Structures with Frictional Interfaces. In: Brake, M. (eds) The Mechanics of Jointed Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-56818-8_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-56818-8_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56816-4

  • Online ISBN: 978-3-319-56818-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics