Rub-induced non-linear vibrations of a rotating large deflection plate

Kou, Haijiang; Yuan, Huiqun

doi:10.1016/j.ijnonlinmec.2013.10.005

Cited by 43 publications

(8 citation statements)

References 14 publications

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“…Let μ denotes the friction coefficient. Pulse loads [11][12][13][14][15][16] refer to forces that are applied over a short amount of time, less than 100 ms or so. Although that seems like a very short time window, it can easily represent 30 or more revolutions in some rotating machines, certainly long enough to include an entire rub event.…”

Section: The Establishment Of the Contact Force Modelmentioning

confidence: 99%

Study on the diagnosis of rub-impact fault based on finite element method and envelope demodulation

Wang¹,

Jiang²,

Yang³

et al. 2016

J. vibroeng.

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In this paper, the vibration characteristic of the casing under rub-impact condition is analyzed by using finite element method, envelope demodulation and empirical mode decomposition. Firstly, aiming at the structure characteristics of the casing of the rotor system, the finite element model is established by ANSYS software. Modal analysis and transient analysis are carried out in detail. The first six order natural frequencies and corresponding vibration modes are acquired in the mode analysis. The transient response history and time-amplitude curves are obtained in the harmonic response analysis. The vibration characteristics and rule of the casing under rub-impact condition are also presented in the transient dynamic analysis. Secondly, the vibration mechanism analysis of the casing is performed. Since the pulse force due to rubbing fault may lead to casing's resonance, the envelope demodulation method and empirical mode decomposition (EMD) are utilized to diagnose the rubbing fault. By means of the envelope demodulation and EMD, the stator's vibration signal is analyzed, and the rub-impact fault diagnosis is fulfilled. Finally, as for the aero-engine, the vibration signal obtained is just the acceleration on casing, and it is of great difficulty to obtain the vibration displacement. Hence, experiment of one-point rub-impact is conducted, and the validity and feasibility of the method adopted are verified by the testing response data. Besides, the casing vibration acceleration signals are analyzed in order to extract the rubbing fault's features. Results demonstrate that the casing resonance envelope signal is very suitable for detecting the rub-impact fault. It is worth relying that envelope demodulation method and EMD would have a promising application for the rubbing fault diagnosis between the rotor and the casing.

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Section: The Establishment Of the Contact Force Modelmentioning

confidence: 99%

Study on the diagnosis of rub-impact fault based on finite element method and envelope demodulation

Wang¹,

Jiang²,

Yang³

et al. 2016

J. vibroeng.

View full text Add to dashboard Cite

show abstract

“…is sampled at f = 4 kHz and is plotted in Fig. 4a low-frequency content of y 2 (t) is stored in IMF φ 3 while its high-frequency content 4 is collected in φ 1 and φ 2 .…”

Section: Validationmentioning

confidence: 99%

“…Besides the angular speed Ω, one parameter seems to have a critical influence in the blade amplitudes of vibration: the blade tip clearance configuration at rest (CCR) [21], which implicitely drives the clearance c(x(t), Ω) in Eq. (4).…”

Section: Conjectural Bifurcation Analysismentioning

confidence: 99%

“…However, modern geometries with tighter operating clearances for improved energy efficiency are such that blade-tip/casing or blade-tip/abradable coating interaction events are becoming commonly accepted in standard operating conditions with possibly dangerous consequences on blades service life. Accordinlgy, rotor/stator structural interactions within turbomachines [2] were targetted in various numerical and experimental investigations related to the aerospace [3,4] and electric power industries [5]. Intricate and possibly diverging dynamics going from a single blade [6,7] or a full bladed disk assembly [8] to several compressor stages with precessional shaft motions [3] are found and several partially unelucidated industrial incidents are reported [6,9].…”

Section: Introductionmentioning

confidence: 99%

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Conjectural bifurcation analysis of the contact-induced vibratory response of an aircraft engine blade

Batailly

Legrand

Millecamps³

et al. 2015

Journal of Sound and Vibration

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This article deals with the numerical investigation of the unilateral contact-induced dynamics of a turbomachine blade rotating within a perfectly rigid yet distorted casing. This investigation is motivated by unelucidated vibratory behaviours observed experimentally. The simulations are based on an in-house time-marching strategy incorporating Lagrange multipliers for the unilateral contact treatment, as well as centrifugal stiffening and abradable coating removal. Significant extensions are proposed through the implementation of (1) aerodynamic loading on the blade and, (2) post-processing techniques involving the empirical mode decomposition which provides fruitful insights on important transient phenomena. A thorough bifurcation analysis with and without aerodynamic loading highlights the existence of flip bifurcations with period-doubling and period-halving sequences over a broad angular speed range. Numerical simulations with external aerodynamic loading yields quasi-periodic and likely to be chaotic motions that could not be observed under vacuum. The proposed numerical investigations underline the key role of the aerodynamic loading in the blade dynamics and suggest that unexplained experimental vibratory behaviours are related to the vacuum conditions of the experiment.

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“…Ma et al 1 simulated two types of blade-tip rubbing due to the static misalignment of the bladed-disk center and casing center and casing deformation and analyzed vibration responses due to blade–casing rubbing under the run-up process with constant angular acceleration and the steady-state process by applying aerodynamic load in the blade lateral/flexural direction. Kou and Yuan 2 examined rub-induced non-linear responses of a rotating large deflection plate and obtained bifurcation and chaos showing a rich and complex behavior in tip-rub. Sun et al 3 developed finite element model of a rotating blade with variable-thickness and compared vibration responses using varying-thickness-twisted shell and solid element finite element models.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics of mistuned bladed disk system under rub-impact force

Zhang

Zhao

Zhang

et al. 2014

Advances in Mechanical Engineering

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In order to study the rubbing of the mistuned bladed disk system with variable thickness blades, an elastically supported shaft-variable thickness blades coupled finite element model is established in this paper. A new rubbing force model is proposed considering the variable thickness section characteristics and rotation effect of the variable thickness blade. A method of mistuned parameter identification is introduced which consists of static frequency testing of blades, dichotomy, and finite element analysis. Based on the finite element method, the mistuned bladed disk system is made dynamic analysis in full rubbing by applying the judgment load method. The dynamic response of the mistuned bladed disk system is discussed under different conditions. The results show that increasing the amount of mistuning will increase the system vibration. At high speeds, the impact force will be partially offset by centrifugal force. And the rubbing gap affects the form of rubbing. With the gap decreases, the system will change from intermittent rubbing to continuous rubbing. In addition, when the system is rubbed, due to energy dissipation and blade damping, the stress is transferred from the blade tip to the blade root and attenuated. In general, rubbing is a random complex nonlinear vibration process.

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Rub-induced non-linear vibrations of a rotating large deflection plate

Cited by 43 publications

References 14 publications

Study on the diagnosis of rub-impact fault based on finite element method and envelope demodulation

Study on the diagnosis of rub-impact fault based on finite element method and envelope demodulation

Conjectural bifurcation analysis of the contact-induced vibratory response of an aircraft engine blade

Dynamic characteristics of mistuned bladed disk system under rub-impact force

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