Skip to main content

Application of Continuum Shell Models for Joint Dissipation

  • Chapter
  • First Online:
Book cover The Mechanics of Jointed Structures

Abstract

This chapter describes the development of a reduced-order, modal framework for the simulation of structural dynamics incorporating the effect of isolated joints. The effect of the joint is included within the modal structure of the system, which can be identified from the dynamic response at low excitation levels when the system behaves linearly. Then, the joint is represented by a reduced-order model for the distributed interface developed from an appropriate shell theory. This reduced-order joint model can be viewed as the continuum limit of a series–series Iwan model. Finally, the overall approach is illustrated on a simple discrete structural system. The resulting simulation is computationally efficient and is described in terms of joint parameters that can easily be related back to measurable quantities such as the coefficient of friction.

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

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

    Article  Google Scholar 

  • R. Courant, K. Friedrichs, H. Lewy, Ăśber die Partiellen Differenzengleichungen der Mathematischen Physik (On the Partial Difference Equations of Mathematical Physics). Math. Ann. 100(1), 32–74 (1928)

    Article  MathSciNet  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 

  • M. Eriten et al., Nonlinear system identification of frictional effects in a beam with a bolted joint connection. Mech. Syst. Signal Process. 39, 245–264 (2013)

    Article  Google Scholar 

  • W.D. Iwan, A distributed-element model for hysteresis and its steady state dynamic response. ASME J. Appl. Mech. 33, 893–900 (1966)

    Article  Google Scholar 

  • A. Libai, J.G. Simmonds, The Nonlinear Theory of Elastic Shells, 2nd edn. (Cambridge University Press, Cambridge, 1998)

    Book  MATH  Google Scholar 

  • J.D. Miller, D.D. Quinn, A two-sided interface model for dissipation in structural systems with frictional joints. J. Sound Vib. 321, 201–219 (2009)

    Article  Google Scholar 

  • D.D. Quinn, Modal analysis of jointed structures. J. Sound Vib. 331, 81–93 (2012)

    Article  Google Scholar 

  • D.D. Quinn, D.J. Segalman, Using series-series Iwan-type models for understanding joint dynamics. ASME J. Appl. Mech. 72, 778–784 (2005)

    Article  MATH  Google Scholar 

  • T.J. Royston, Leveraging the equivalence of hysteresis models from different fields for analysis and numerical simulation of jointed structures. ASME J. Comput. Nonlinear Dyn. 3, 031006 (2008)

    Article  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, A modal approach to modeling spatially distributed vibration energy dissipation. Technical Report SAND2010-4763. Sandia National Laboratories, Albuquerque, NM (2010)

    Google Scholar 

  • D.J. Segalman, M.J. Starr, Inversion of Masing models via continuous Iwan systems. Int. J. Nonlinear Mech. 43, 74–80 (2008)

    Article  Google Scholar 

  • Y. Song et al., Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements. J. Sound Vib. 273, 249–276 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adam Brink .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Brink, A., Quinn, D.D., Segalman, D.J. (2018). Application of Continuum Shell Models for Joint Dissipation. In: Brake, M. (eds) The Mechanics of Jointed Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-56818-8_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-56818-8_28

  • 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