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Interface reduction methods for mechanical systems with elastohydrodynamic lubricated revolute joints

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Abstract

In this contribution, three different reduction methods for elastic structures with lubricated interfaces are presented and compared with each other. While for the first two methods, classical reduction strategies from component mode synthesis are applied, for the third method, a dual reduction basis is used, consisting of vibration modes of the free floating structure, attachment modes and residual modes. Within this new dual approach, it is shown how the residual modes can be obtained by applying pressure distributions of analytical solutions of the hydrodynamic equations. The described methods are compared for two classical simulation example—for a one-sided elastohydrodynamic lubricated joint of a slider–crank mechanism in a floating frame of reference formulation as well as for an elastic rotor in a flexible journal bearing.

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References

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

    Article  MATH  Google Scholar 

  2. Bernardi, C.: A new nonconforming approach to domain decomposition: the mortar element method. In: Nonlinear Partial Differential Equations and Their Applications. Wiley, New York (1994)

    Google Scholar 

  3. Booker, J., Boedo, S., Bonneau, D.: Conformal elastohydrodynamic lubrication analysis for engine bearing design: a brief review. Proc. Inst. Mech. Eng., Part C, J. Mech. Eng. Sci. 224(12), 2648–2653 (2010)

    Article  Google Scholar 

  4. Bremer, H.: Elastic Multibody Dynamics. Springer, Berlin (2008)

    Book  MATH  Google Scholar 

  5. Craig, R.R., Chang, C.J.: Substructure coupling for dynamic analysis and testing. Tech. rep., University of Texas, Austin (1977)

  6. De Boer, A.: Computational fluid–structure interaction: spatial coupling, coupling shell and mesh deformation. Ph.D. thesis, TU Delft, Delft University of Technology (2008)

  7. Géradin, M., Rixen, D.J.: A ‘nodeless’ dual superelement formulation for structural and multibody dynamics application to reduction of contact problems. Int. J. Numer. Methods Eng. 106(10), 773–798 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  8. Goenka, P.K.: Dynamically loaded journal bearings: finite element method analysis. J. Tribol. 106(4), 429–437 (1984)

    Article  Google Scholar 

  9. Habchi, W.: Reduced order finite element model for elastohydrodynamic lubrication: circular contacts. Tribol. Int. 71, 98–108 (2014)

    Article  Google Scholar 

  10. Habchi, W., Issa, J.: Fast and reduced full-system finite element solution of elastohydrodynamic lubrication problems: Line contacts. Adv. Eng. Softw. 56, 51–62 (2013)

    Article  Google Scholar 

  11. Hamrock, B.J., Schmid, S.R., Jacobson, B.O.: Fundamentals of Fluid Film Lubrication. CRC press, New York (2004)

    Book  Google Scholar 

  12. Herrmann, J., Maess, M., Gaul, L.: Substructuring including interface reduction for the efficient vibro-acoustic simulation of fluid-filled piping systems. Mech. Syst. Signal Process. 24(1), 153–163 (2010)

    Article  Google Scholar 

  13. Junge, M., Brunner, D., Becker, J., Gaul, L.: Interface-reduction for the Craig–Bampton and rubin method applied to Fe–Be coupling with a large fluid–structure interface. Int. J. Numer. Methods Eng. 77(12), 1731–1752 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  14. Knoll, G., Schönen, R., Wilhelm, K.: Full dynamic analysis of crankshaft and engine block with special respect to elastohydrodynamic bearing coupling. ASME ICE 28(3), 1–8 (1997)

    Google Scholar 

  15. Krinner, A., Rixen, D.J.: Load dependent interface reduction method for flexible multibody systems with elastohydrodynamic lubricated joints. In: The 4th Joint International Conference on Multibody Dynamics May 29–June 2, Montreal, Canada (2016)

    Google Scholar 

  16. Krinner, A., Schindler, T., Rixen, D.J.: Fluid–struktur-kopplung in elastohydrodynamischen gleitlagern. In: 11. Internationale Tagung Schwingungen in Rotierenden Maschinen (SIRM), Magdeburg, Germany (2015), in German

    Google Scholar 

  17. Krinner, A., Schindler, T., Rixen, D.: Time integration of mechanical systems using quasi-newton method and projection formulations. Int. J. Numer. Methods Eng. 110(6), 523–548 (2017). doi:10.1002/nme.5365

    Article  MATH  Google Scholar 

  18. Lang, O.R., Steinhilper, W.: Gleitlager: Berechnung und Konstruktion von Gleitlagern mit konstanter und zeitlich veränderlicher Belastung, vol. 31. Springer, Berlin (1978)

    Google Scholar 

  19. Novotny, P., Pistek, V.: New efficient methods for powertrain vibration analysis. Proc. Inst. Mech. Eng., Part D, J. Automob. Eng. 224(5), 611–629 (2010)

    Article  Google Scholar 

  20. Oh, K., Goenka, P.: The elastohydrodynamic solution of journal bearings under dynamic loading. J. Tribol. 107(3), 389–394 (1985)

    Article  Google Scholar 

  21. Schwertassek, R., Wallrapp, O.: Dynamik flexibler Mehrkörpersysteme. Vieweg, Braunschweig (1999), in German

    Book  Google Scholar 

  22. Tamarozzi, T., Heirman, G.H., Desmet, W.: An on-line time dependent parametric model order reduction scheme with focus on dynamic stress recovery. Comput. Methods Appl. Mech. Eng. 268, 336–358 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  23. Tian, Q., Sun, Y., Liu, C., Hu, H., Flores, P.: Elastohydrodynamic lubricated cylindrical joints for rigid-flexible multibody dynamics. Comput. Struct. 114, 106–120 (2013)

    Article  Google Scholar 

  24. Tian, Q., Lou, J., Mikkola, A.: A new elastohydrodynamic lubricated spherical joint model for rigid-flexible multibody dynamics. Mech. Mach. Theory 107, 210–228 (2017)

    Article  Google Scholar 

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Krinner, A., Rixen, D.J. Interface reduction methods for mechanical systems with elastohydrodynamic lubricated revolute joints. Multibody Syst Dyn 42, 79–96 (2018). https://doi.org/10.1007/s11044-017-9575-6

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  • DOI: https://doi.org/10.1007/s11044-017-9575-6

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