A finite element-based algorithm for rubbing induced vibration prediction in rotors

Behzad, Mahdi; Alvandi, Mehdi; David, Éric; Jamali, Jalil

doi:10.1016/j.jsv.2013.05.016

Cited by 42 publications

(20 citation statements)

References 21 publications

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“…Qin et al [6] investigated the contact of an overhung rotor as function of rotating speed, unbalance and external damping using the transfer matrix method. Behzad et al [7] developed a model of rigid rotor contacting a discretized stator using the Lagrange multiplier technique to solve the constraint equation during contact. Roques et al [8] also investigated rubbing caused by accidental unbalance using a Lagrange multiplier approach and predictioncorrection marching procedure.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibrations of a misaligned bladed Jeffcott rotor

Thiery

Aidanpää

2016

Nonlinear Dyn

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This paper describes the numerical and experimental investigation of the nonlinear vibration of a bladed Jeffcott rotor. The nonlinearity in the system is due to discontinuities caused by multiple contacts with an outer ring as well as the nonlinear deformation of the massless blades. Contacts occur since the rotor shaft is initially misaligned by displacing the outer ring in one direction. The aim of the paper is to develop a simple model of bladed rotor and verify whether the global dynamics of the numerical simulations can be observed experimentally. The experimental rig and data acquisition are presented in detail together with the experimental procedures. The results between the numerical simulation and experiments are compared in terms of bifurcation diagrams and waterfall plots. An overall correlation is observed between the numerical and experimental study in the case of stiff blades, with differences mainly in localized frequency ranges due to parameter variation.

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Section: Introductionmentioning

confidence: 99%

Nonlinear vibrations of a misaligned bladed Jeffcott rotor

Thiery

Aidanpää

2016

Nonlinear Dyn

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“…Under this condition, the rubbing force can change the motion direction of the rotor. Aiming at the point rubbing, lots of studies [1][2][3][4][5][6] have been carried out. Han et al [1] analyzed periodic motions of a rotor system with two disks where the rub-impacts occur at fixed limiter for a test rig with dual disks.…”

Section: Introductionmentioning

confidence: 99%

“…In this way, the full annular rubbing can be changed into four-point rubbing. Based on finite element (FE) theory with unilateral contact and friction conditions, Behzad et al [5] developed an algorithm to investigate of the rotor-to-stator rubbing vibration and carried out a case study of the point rubbing between the rotor and an elastic rod by using this algorithm. Isaksson and Frid [6] studied the dynamical behavior of a rotor rubbing with a non-annular stator and analyzed the influences of different stop configurations on the system vibration responses., Zapomel et al [7] simulated the impacts between the rotor and its housing based on the application of Newton's theory and on the direct calculation of the contact force and investigated the behaviour of rotor systems when the impact occurs.…”

Section: Introductionmentioning

confidence: 99%

“…Considering the rub-induced force impact and heat impact together, Tian and Yang [29] The mechanical model of the rotor-stator rubbing mostly adopts the piecewise-smooth model and the classical coulomb friction model [1,3,4,6,12,13,15,22,24]. In recent years, the rotor-stator rubbing simulated by the contact theory has become widely researched [2,5,9,[31][32][33][34][35]. Based on the above analysis, we found that some researchers adopted non-annular stator [6] (passive mechanical deflection limiting device) or four pin connections [2,3] to prevent vital rotor or stator parts from coming into contact or make possible full annular rubbing transmit local fixed-point rubbing to protect the bearing.…”

Section: Introductionmentioning

confidence: 99%

“…With the increase of rotating speed from γ=0.5 to γ=10 in an increment of 0.5, a change of the subharmonic order from the order 1/2, to the lower range 11× synchronous vibration appears at γ∈[0 5,2],. 1×/2 subsynchronous vibration (period-two motion P2) at γ∈[2.5,4], 1×/3 subsynchronous vibration (P3) at γ∈[4.5,5.5], 1×/4 subsynchronous vibration (P4) at γ∈[6, 7.5], 1×/5 subsynchronous vibration (P5) at γ∈[8, 9.5] and 1×/6 subsynchronous vibration (P6) at γ=10.Compared with the experimental results in Ref [40].…”

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confidence: 99%

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Dynamic characteristics analysis of a rotor–stator system under different rubbing forms

Zhao

et al. 2015

Applied Mathematical Modelling

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Dynamic characteristics of a rotor rubbing with circular stator and four pin shape stators are studied based on contact dynamics theory. Based on finite element (FE) method, the rotor system attached with two disks and pin shape stators are simulated by Timoshenko beam. The circular stator is simulated by a lumped mass model, and the rotor and stator are connected by one or more point-point contact elements to establish the dynamic model of the rotor-stator coupling system. Assuming that the rubbing is caused by the sudden impact excitation and sudden unbalance excitation under two loading conditions (condition 1: in-phase unbalances of two disks at the first critical speed, condition 2: out-of-phase unbalances of two disks at the second critical speed), the system dynamic characteristics are analyzed by the time-domain waveform, rotor orbit, normal contact/rubbing force and stator acceleration. The results show that the rubbing caused by the sudden impact under the loading condition 2 will always exist and the rubbing will excite quasi-periodic motion of the rotor system; combination frequency components about the rotating frequency (1×) and the first lateral natural frequency of the rotor-stator coupling system (f n1 ) can be viewed as the most distinguishable characteristic. Full annular rubbing may appear due to the sudden unbalance excitation under the loading condition 1, the four-point rubbing can restrain the subsynchronous vibration and mainly excites odd multiple frequency components, such as 3×, 5×, etc.

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