Internal, primary and combination resonances of a wind turbine blade with coupled flapwise and edgewise motions

Yuan, Gaofei; Wang, Yuefang

doi:10.1016/j.jsv.2021.116439

Cited by 10 publications

(2 citation statements)

References 28 publications

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“…The rising 𝛿 influences the level of vibration through changing the aerodynamic force (𝑓 ), damping (𝜁 ) and geometric nonlinear terms (𝑔̄ , ). It is worth mentioning that changing 𝑔̄ , has negligible contribution to the level of vibration [32,33]. An increasing 𝛿 has a double effect on the response: it does reduce the blade damping (see Figure 19) and hence increases the amplitudes of 𝛼 and 𝛼 ; on the other hand, it prevents the response by decreasing the aerodynamic force.…”

Section: Effect Of εσ 1 With Various Contact Stiffness and Gap Dimensionmentioning

confidence: 99%

“…Li et al [32] investigated the nonlinear vibration of a blade simultaneously undergoing two resonances (i.e., internal as well as primary), considering aerodynamic force, damping and structural nonlinearity. Yuan and Wang studied internal resonance, primary resonance and the combined multiple modal resonances of a blade [33], where they demonstrated the contribution of primary and internal resonances to the combination resonance in terms of frequencies and energy. It is worth pointing out that, despite the existent works on the nonlinear vibrations of bladed blisks, the combination resonance induced by contact and friction between neighboring blades has yet to be thoroughly understood.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Dynamics and Combination Resonance of a Flexible Turbine Blade with Contact and Friction of Shrouds

Li,

Yuan,

et al. 2024

Machines

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Flexible shrouded blades are commonly adopted in the last stages of steam turbines where complicated dynamical behavior can be induced by dry friction force generated on contacting interfaces between adjacent shrouds and the geometric nonlinearity due to the structural flexibility of the blades. In this paper, combination resonance caused by contact and friction forces generated on shroud interfaces is investigated, which is a concurrence of 1:3 internal resonance involving the first and second modes in the flapwise direction and the primary resonance of the first flapwise mode. The stiffness and damping at the contact interface are obtained by linearizing the contact and friction forces between shrouds through the harmonic balance method. The vibrating blade is modeled as a beam with a concentrated mass of which the responses under the combination resonance are solved through the multiple-scale method. Sensitivities of response with respect to the angle of shrouds, contact stiffness and rotation speed are illustrated, and the influences of these parameters on the periodicity and amplitudes of steady responses are demonstrated. The parametric regions where the combination resonance occurs are pointed out. Finally, parametric analyses are presented to show how the amplitude–frequency relation of the multiple-scale solutions under the combination resonance vary with detuning and design parameters. The present research provides a designing basis for improving the dynamic performance of flexible shrouded blades and suppressing vibrations of blades by adjusting structural parameters in practical engineering.

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Section: Effect Of εσ 1 With Various Contact Stiffness and Gap Dimensionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics and Combination Resonance of a Flexible Turbine Blade with Contact and Friction of Shrouds

Li,

Yuan,

et al. 2024

Machines

Self Cite

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Semi-analytical solutions for steady-state bending-bending coupled forced vibrations of a rotating wind turbine blade by means of Green's functions

Zhao,

Jiang,

Zhu

et al. 2025

Journal of Sound and Vibration

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Nonlinear super-harmonic and sub-harmonic resonance analysis of the horizontal-axis wind turbine blades using multiple scale method including the pre-twist effects

2022

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Internal, primary and combination resonances of a wind turbine blade with coupled flapwise and edgewise motions

Cited by 10 publications

References 28 publications

Nonlinear Dynamics and Combination Resonance of a Flexible Turbine Blade with Contact and Friction of Shrouds

Nonlinear Dynamics and Combination Resonance of a Flexible Turbine Blade with Contact and Friction of Shrouds

Semi-analytical solutions for steady-state bending-bending coupled forced vibrations of a rotating wind turbine blade by means of Green's functions

Nonlinear super-harmonic and sub-harmonic resonance analysis of the horizontal-axis wind turbine blades using multiple scale method including the pre-twist effects

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