Skip to main content
Top

2019 | OriginalPaper | Chapter

10. The Influence of Secondary Flow on the Dynamics of Vibrating Tubes

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

search-config
loading …

Abstract

The secondary flow inside a round tube undergoing motion perpendicular to its longitudinal axis is considered. The motion of the fluid is modelled by a discretization of the secondary flow and is simulated separately from the motion of the tube, which is modelled as a flexible multibody system. The interaction between the two problems is taken into account by means of co-simulation. The Navier–Stokes equations are simplified and linearized, and then discretized with a spectral expansion in the circumferential direction and with finite elements in the radial direction. A tube rotating with a constant angular velocity and a tube undergoing a harmonic vibration are considered as examples. The main objective of this study is to show that the proposed co-simulation is actually feasible for this problem.

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 Mehendale, A.: Coriolis mass flow rate meters for low flows. Dissertation, University of Twente, Enschede (2008) Mehendale, A.: Coriolis mass flow rate meters for low flows. Dissertation, University of Twente, Enschede (2008)
2.
go back to reference Jonker, J.B., Meijaard, J.P.: SPACAR—computer program for dynamic analysis of flexible spatial mechanisms and manipulators. In: Schiehlen, W. (ed.) Multibody Systems Handbook, pp. 123–143. Springer, Berlin (1990)CrossRef Jonker, J.B., Meijaard, J.P.: SPACAR—computer program for dynamic analysis of flexible spatial mechanisms and manipulators. In: Schiehlen, W. (ed.) Multibody Systems Handbook, pp. 123–143. Springer, Berlin (1990)CrossRef
3.
go back to reference Meijaard, J.P.: Fluid-conveying flexible pipes modeled by large-deflection finite elements in multibody systems. Trans. ASME J. Comput. Nonlinear Dyn. 9, 0110081–7 (2014) Meijaard, J.P.: Fluid-conveying flexible pipes modeled by large-deflection finite elements in multibody systems. Trans. ASME J. Comput. Nonlinear Dyn. 9, 0110081–7 (2014)
4.
go back to reference Batchelor, G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge (1967)MATH Batchelor, G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge (1967)MATH
5.
6.
go back to reference Hairer, E., Nørsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I, Nonstiff Problems (Second Revised Edition). Springer, Berlin (1993) Hairer, E., Nørsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I, Nonstiff Problems (Second Revised Edition). Springer, Berlin (1993)
7.
go back to reference Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems (Second Revised Edition). Springer, Berlin (1996) Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems (Second Revised Edition). Springer, Berlin (1996)
Metadata
Title
The Influence of Secondary Flow on the Dynamics of Vibrating Tubes
Author
J. P. Meijaard
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-14883-6_10

Premium Partner