Nonlinear vibrations of blade with varying rotating speed

Yao, Minghui; Chen, Y. P.; Zhang, W.

doi:10.1007/s11071-011-0231-z

Cited by 121 publications

(42 citation statements)

References 40 publications

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“…The frequency domain design of linear systems [4][5][6] based on the traditional concept of Frequency Response Function (FRF) has been widely applied in engineering system designs such as, e.g., the design of the dynamic properties of vibration absorbers [7], vehicle suspensions [8], and aero engine blades [9].…”

Section: Introductionmentioning

confidence: 99%

Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach

Zhu

Lang

2018

IEEE Trans. Contr. Syst. Technol.

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Section: Introductionmentioning

confidence: 99%

Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach

Zhu

Lang

2018

IEEE Trans. Contr. Syst. Technol.

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“…Al-Bedoor and Al-Qaisia [7] used a reduced order nonlinear dynamic model to investigate the forced vibrations of a flexible rotating blade under the excitation of shaft torsional vibration. Yao et al [8] investigated the nonlinear dynamic characteristics of the rotating blade and used the bifurcation diagram, phase portrait, and power spectrum to demonstrate that periodic motions and chaotic motions occur in nonlinear vibrations of the rotating blade under certain conditions. Lee et al [9] developed a computational model for the dynamic characteristics of a rotor-blade system.…”

Section: Introductionmentioning

confidence: 99%

Study on the Nonlinear Characteristics of a Rotating Flexible Blade with Dovetail Interface Feature

Shen

Zhong

et al. 2018

Shock and Vibration

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A dynamic model is proposed in this paper for analyzing the nonlinear characteristics of a flexible blade. The dynamical equation of motion for a rotational flexible blade in a centrifugal force field is established based on the finite element method. A macro-stickslip mechanical model of dry friction is established to simulate the constraint condition of the flexible blade. The combined motion of the external excitation and friction produces a piecewise linear vibration which is actually nonlinear. The numerical integration method is employed to calculate the vibration reduction characteristics of the nonlinear constrained rotating blade. The results show that the nonlinear dry friction force produced by the dovetail interface plays an important role in vibration reduction. And the effect of dry friction vibration reduction is significant when the rotating speed is slow or the friction coefficient is small. Besides, the magnitude of external excitation also has a great impact on the state of the friction. Therefore, some relevant experimental researches should be done in the future.

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“…Nonlinear vibration of a variable speed rotating beam was studied by Younesian and Esmailzadeh (2010), where the influence of various parameters was investigated. The nonlinear dynamic response of a rotating blade with varying rotating speed was investigated by Yao et al (2012), and the results showed that the dynamic responses of the rotating blade changed from periodic motions to chaotic motions with different rotating speeds. Nonlinear oscillations and steady-state responses of a rotating compressor blade with varying rotating speed were investigated by Yao et al (2014).…”

Section: Introductionmentioning

confidence: 99%

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

Wang

Hao

Chen

et al. 2018

jtam

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A coupling model between turbine blades with a varying rotating speed and oncoming vortices is constructed, where the coupling of the structure and the fluid is simulated by the van der Pol oscillation. Partial differential governing equations of motions for the coupled system are obtained and discretized by using the Galerkin method. The 1:2 subharmonic resonance and the 1:1 internal resonance are investigated with the multiple scale method and first-order averaged equations are then derived. Nonlinear responses and bifurcation characteristics are studied by a numerical integration method. Stability of bifurcation curves is determined by utilizing the Routh-Hurwitz criterion. The effect of system parameters including the detuning parameter, steady-state rotating speed, amplitude of periodic perturbation for the rotating speed and freestream velocity on vibration responses are investigated.

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Nonlinear vibrations of blade with varying rotating speed

Cited by 121 publications

References 40 publications

Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach

Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach

Study on the Nonlinear Characteristics of a Rotating Flexible Blade with Dovetail Interface Feature

Dynamic and resonance response analysis for a turbine blade with varying rotating speed

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