A three-degree-of-freedom model for vortex-induced vibrations of turbine blades

Dan Wang*, Yushu Chen, Marian Wiercigroch, Qingjie Cao

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A new three-degree-of-freedom model simulating vortex-induced vibrations (VIVs) of turbine blades is proposed. Equations of motions include the coupling for bending and torsion of a blade as well as the fluid-blade interactions, which is described by a van der Pol oscillator. The 1:1 internal resonance analysis is carried out with the multiple scale method, and modulation equations are derived. Bifurcation curves for responses with respect to the detuning parameter and dimensionless freestream velocity are obtained. Effects of the system parameters including the lift and moment coefficients, structural damping, cubic nonlinearity and coupling parameters on the responses are investigated. It is found that dynamic behaviours such as the saddle-node and Hopf bifurcations can occur for certain values of the system parameters. The approximate solutions obtained by the multiple scale method are validated by a direct numerical simulation. The results indicate that the proposed three-degree-of-freedom model can be useful to explain the dynamic response characteristics of blades and to optimize the blade design.

Original languageEnglish
Pages (from-to)2607-2628
Number of pages22
JournalMeccanica
Volume51
Issue number11
Early online date22 Feb 2016
DOIs
Publication statusPublished - Nov 2016

Fingerprint

turbine blades
blades
Turbomachine blades
Vortex flow
Turbines
degrees of freedom
vortices
vibration
Hopf bifurcation
Direct numerical simulation
Torsional stress
Equations of motion
Dynamic response
Damping
Modulation
lift coefficients
Fluids
saddles
dynamic response
direct numerical simulation

Keywords

  • Fluid-blade interactions
  • Hopf bifurcation
  • Internal resonance
  • Saddle-node bifurcation
  • van der Pol oscillator
  • Vortex-induced vibration

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

A three-degree-of-freedom model for vortex-induced vibrations of turbine blades. / Wang, Dan; Chen, Yushu; Wiercigroch, Marian; Cao, Qingjie.

In: Meccanica, Vol. 51, No. 11, 11.2016, p. 2607-2628.

Research output: Contribution to journalArticle

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abstract = "A new three-degree-of-freedom model simulating vortex-induced vibrations (VIVs) of turbine blades is proposed. Equations of motions include the coupling for bending and torsion of a blade as well as the fluid-blade interactions, which is described by a van der Pol oscillator. The 1:1 internal resonance analysis is carried out with the multiple scale method, and modulation equations are derived. Bifurcation curves for responses with respect to the detuning parameter and dimensionless freestream velocity are obtained. Effects of the system parameters including the lift and moment coefficients, structural damping, cubic nonlinearity and coupling parameters on the responses are investigated. It is found that dynamic behaviours such as the saddle-node and Hopf bifurcations can occur for certain values of the system parameters. The approximate solutions obtained by the multiple scale method are validated by a direct numerical simulation. The results indicate that the proposed three-degree-of-freedom model can be useful to explain the dynamic response characteristics of blades and to optimize the blade design.",
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