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Inverse Methods for Characterization of Contact Areas in Mechanical Systems

  • Matthew Fronk
  • Kevin Eschen
  • Kyle Starkey
  • Robert J. KuetherEmail author
  • Adam Brink
  • Timothy Walsh
  • Wilkins Aquino
  • Matthew Brake
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

In computational structural dynamics problems, the ability to calibrate numerical models to physical test data often depends on determining the correct constraints within a structure with mechanical interfaces. These interfaces are defined as the locations within a built-up assembly where two or more disjointed structures are connected. In reality, the normal and tangential forces arising from friction and contact, respectively, are the only means of transferring loads between structures. In linear structural dynamics, a typical modeling approach is to linearize the interface using springs and dampers to connect the disjoint structures, then tune the coefficients to obtain sufficient accuracy between numerically predicted and experimentally measured results. This work explores the use of a numerical inverse method to predict the area of the contact patch located within a bolted interface by defining multi-point constraints. The presented model updating procedure assigns contact definitions (fully stuck, slipping, or no contact) in a finite element model of a jointed structure as a function of contact pressure computed from a nonlinear static analysis. The contact definitions are adjusted until the computed modes agree with experimental test data. The methodology is demonstrated on a C-shape beam system with two bolted interfaces, and the calibrated model predicts modal frequencies with <3% total error summed across the first six elastic modes.

Keywords

Modal analysis Linearized contact Multi-point constraints Model updating Mechanical interfaces 

Notes

Acknowledgements

This research was conducted at the 2017 Nonlinear Mechanics and Dynamics (NOMAD) Research Institute supported by Sandia National Laboratories. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy‘s National Nuclear Security Administration under contract DE-NA-0003525. SAND2017-11517 C.

References

  1. 1.
    Mottershead, J., Friswell, M.: Model updating in structural dynamics: a survey. J. Sound Vib. 167(2), 347–375 (1993)CrossRefGoogle Scholar
  2. 2.
    Ewins, D.J.: Exciting vibrations: the role of testing in an era of supercomputers and uncertainties. Meccanica 51(12), 3241–3258 (2016)CrossRefGoogle Scholar
  3. 3.
    Nobari, A.S., Robb, D.A., Ewins, D.J.: Model updating and joint identification methods – applications, restrictions and overlap. Int. J. Anal. Exp. Modal Anal. 8, 93–105 (1993)Google Scholar
  4. 4.
    Kim, T.R., Wu, S.M., Eman, K.F.: Identification of joint parameters for a taper joint. J. Eng. Ind. 111(3), 282 (1989)CrossRefGoogle Scholar
  5. 5.
    Ehmann, K.F., Ehmann, K.F., Wu, S.M.: Identification of joint structural parameters between substructures. J. Manuf. Sci. Eng. 113(4), 419 (1991)CrossRefGoogle Scholar
  6. 6.
    Mottershead, J.E., Weixun, S.: Correction of joint stiffnesses and constraints for finite element models in structural dynamics. J. Appl. Mech. Trans. ASME 60(1), 117–122 (1993)CrossRefGoogle Scholar
  7. 7.
    Mottershead, J., Friswell, M., Ng, G., Brandon, J.: Geometric parameters for finite element model updating of joints and constraint. Mech. Syst. Sig. Process. 10(2), 171–182 (1996)CrossRefGoogle Scholar
  8. 8.
    LI, W.: A new method for structural model updating and joint stiffness identification. Mech. Syst. Sig. Process. 16(1), 155–167 (2002)CrossRefGoogle Scholar
  9. 9.
    Adel, F., Shokrollahi, S., Jamal-Omidi, M., Ahmadian, H.: A model updating method for hybrid composite/aluminum bolted joints using modal test data. J. Sound Vib. 396, 172–185 (2017)CrossRefGoogle Scholar
  10. 10.
    Brake, M.R.W., Stark, J.G., Smith, S.A., Lancereau, D.P.T., Jerome, T.W., Dossogne, T.: In Situ Measurements of Contact Pressure for Jointed Interfaces During Dynamic Loading Experiments, pp. 133–141. Springer International Publishing, Cham (2017)CrossRefGoogle Scholar
  11. 11.
    Marshall, M.B., Lewis, R., Dwyer-Joyce, R.S.: Characterisation of contact pressure distribution in bolted joints. Strain 42(1), 31–43 (2006)CrossRefGoogle Scholar
  12. 12.
    Segalman, D.J.: A four-parameter Iwan model for lap-type joints. J. Appl. Mech. 72(5), 752 (2005)CrossRefGoogle Scholar
  13. 13.
    Allen, M.S., Lacayo, R.M., Brake, M.R.W.: “Quasi-Static Modal Analysis Based on Implicit Condensation for Structures with Nonlinear Joints,” Proceedings of ISMA2016 - International Conference on Noise and Vibration Engineering. Leuven, Belgium (2016)Google Scholar
  14. 14.
    Sellgren, U., Olofsson, U.: Application of a constitutive model for micro-slip in finite element analysis. Comput. Methods Appl. Mech. Eng. 170(1), 65–77 (1999)CrossRefGoogle Scholar
  15. 15.
    Flicek, R.C., Ramesh, R., Hills, D.A.: A complete frictional contact: the transition from normal load to sliding. Int. J. Eng. Sci. 92, 18–27 (2015)CrossRefGoogle Scholar
  16. 16.
    Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)CrossRefGoogle Scholar
  17. 17.
    Motosh, N.: Development of design charts for bolts preloaded up to the plastic range. J. Eng. Ind. 98, 849 (1976)CrossRefGoogle Scholar
  18. 18.
    Bickford, J.H.: An Introduction to the Design and Behavior of Bolted Joints. Marcel Dekker, New York (1995)Google Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2019

Authors and Affiliations

  • Matthew Fronk
    • 1
  • Kevin Eschen
    • 2
  • Kyle Starkey
    • 3
  • Robert J. Kuether
    • 4
    Email author
  • Adam Brink
    • 4
  • Timothy Walsh
    • 4
  • Wilkins Aquino
    • 5
  • Matthew Brake
    • 6
  1. 1.Department of Material EngineeringGeorgia Institute of TechnologyAtlantaUSA
  2. 2.Department of Mechanical EngineeringUniversity of Minnesota, Twin CitiesMinneapolisUSA
  3. 3.Department of Mechanical EngineeringPurdue UniversityWest LafayetteUSA
  4. 4.Sandia National LaboratoriesAlbuquerqueUSA
  5. 5.Department of Civil and Environmental EngineeringDuke UniversityDurhamUSA
  6. 6.William Marsh Rice UniversityHoustonUSA

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