Dynamic analysis of rotor–shaft systems with viscoelastically supported bearings

Shabaneh, N.H.; Zu, Jean W.

doi:10.1016/s0094-114x(99)00078-6

Cited by 37 publications

(15 citation statements)

References 11 publications

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“…In another paper, these authors reported that the unbalanced responses of the same system were greatly reduced by incorporating suitable viscoelastic supports [11]. Shabaneh and Zu studied a Jeffcott rotor with elastic dissipative bearings mounted on viscoelastic supports, assuming the shaft to be elastic, massive and viscously damped [12]. Based on a Timoshenko beam theory and a hysteretic damping model for the viscoelastic supports, they obtained similar effects on unbalanced responses.…”

Section: Axisymmetric Elastic Shaft Model With Internal Dampingmentioning

confidence: 91%

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Dynamic instability of supercritical driveshafts mounted on dissipative supports—Effects of viscous and hysteretic internal damping

Montagnier¹,

Hochard²

2007

Journal of Sound and Vibration

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The case of a rotating shaft with internal damping mounted either on elastic dissipative bearings or on infinitely rigid bearings with viscoelastic suspensions is investigated in order to obtain the stability region. A Euler-Bernoulli shaft model is adopted, in which the transverse shear effects are neglected and the effects of translational and rotatory inertia, gyroscopic moments, and internal viscous or hysteretic damping are taken into account. The hysteretic damping is incorporated with an equivalent viscous damping coefficient. Free motion analysis yields critical speeds and threshold speeds for each damping model in analytical form. In the case of elastic dissipative bearings, the present results are compared with the results of previous studies on finite element models. In the case of infinitely rigid bearings with viscoelastic suspensions, it is established that viscoelastic supports increase the stability of long shafts, thus compensating for the loss of efficiency which occurs with classical bearings. The instability criteria also show that the effect of the coupling which occured between rigid modes introducing external damping and shaft modes are almost more important than damping factor. Lastly, comparisons between viscous and hysteretic damping conditions lead to the conclusion that an appropriate material damping model is essential to be able to assess these instabilities.

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Section: Axisymmetric Elastic Shaft Model With Internal Dampingmentioning

confidence: 91%

“…Substituting Eqs. (10) and (12) into the equations of motion (8)-(-9) and (11) yields, after some calculations:…”

Section: Axisymmetric Elastic Shaft Model With Internal Dampingmentioning

confidence: 99%

Dynamic instability of supercritical driveshafts mounted on dissipative supports—Effects of viscous and hysteretic internal damping

Montagnier¹,

Hochard²

2007

Journal of Sound and Vibration

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“…Sturla and Argento [19] obtains free and forced responses using the three-parameter model, for a viscoelastic Rayleigh shaft. Shabaneh and Zu [20,21] dynamically analyzed a rotating shaft-disk system mounted on a linear elastic spring with a viscoelastic suspension. Rotors, supported on viscoelastic bearings, are studied by Bavastri et al [22] using the four-parameter fractional derivative model.…”

Section: Introductionmentioning

confidence: 99%

A shaft finite element for analysis of viscoelastic tapered Timoshenko rotors

Bhowmick

Ganguly²,

Neogy

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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Finite element modeling of thick rotor (deep rotor) requires the use of the Timoshenko element, which takes care of shear deformation. Modeling a rotor whose cross section varies can be done using uniform stepped cylindrical elements, but the number of elements required for the converged results is enormous. Further modeling of doubly tapered rotors and rotors with sharp changes in taper angle using such methods become difficult and does not appear feasible that is why the formulation of conical rotor elements is necessary. The complexity in formulations arises due to the presence of the shear parameter in the denominator. Till now, in the literature of the Timoshenko rotor, geometric properties are taken to be linearly varying; the shear parameter is the approximation of average values of two end nodes. On the other hand, the modeling of damping in rotors becomes essential as it controls the stability limit. The present paper develops three different viscoelastic tapered rotor elements using the Maxwell-Wiechert model. While the first element (VTRE 1) uses the average shear parameter, the second element (VTRE 2) uses a higher degree polynomial to approximate the shear parameter. While the first two-rotor elements are solid, the third element (VTRE 3) is hollow. Results show that viscoelastic tapered elements provide better results with the lesser number of elements. For the rotor with a large taper angle, VTRE 2 performs better than VTRE 1. Further modeling of the hollow tapered rotor with a linear variation of taper angle and discontinuities at definite points is not possible by the use of uniform elements. Modeling such a rotor using VTRE 3 is rendered simple. Practical usage of such rotors further enhances the importance of the present work.

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“…With the development of nonlinear dynamics, Theodossiades and Natsiavas 7 investigated dynamics of a gear-pair system involving backlash, and several types of periodic steady state response were identified by employing suitable methodologies. Based on the research of Shabaneh and Zu, 8 Kang and Hsu 9 presented a hybrid method to study the dynamic behaviours of a gear-rotor system with viscoelastic supports under effects of the residual shaft bow. Dynamic characteristic analysis of gearbox is also important for further mastering the stability of whole transmission system.…”

Section: Introductionmentioning

confidence: 99%

New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

Wang¹,

Xing²,

Fang³

2017

IJAV

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To analyse the power transmission process of herringbone gear train system supported by rolling element bearings more accurately, meshing stiffness calculation method is firstly developed through tooth load contact analysis. The model of mesh impact force and the approach to calculate the equivalent friction torque coefficient in mixed elastohydrodynamic lubrication state are sequentially derived. The twelve-degree-of-freedom herringbone gear vibration model is finally established. Upon the consideration of different supporting ways between pinion and gear shaft, dynamic loads on support bearings are calculated separately. Based on rolling element bearing dynamic model and internal load distribution on bearings, comprehensive analysis of the vibration transmission process in meshing gear pair, rolling element bearings, and internal walls of gearbox bearing holes is conducted. Under the real dynamic load boundary condition, harmonic response and transient response of gearbox are obtained correspondingly. To evaluate the proposed model approach, a rolling element bearings support herringbone gear system is adopted to do real closed power flow vibration test. Simulation and experimental results show that the theoretical analysis in this paper is scientific and reasonable to calculate the dynamic load transfer process, and the maximum relative deviation between the theoretical results and the experimental data is less than 15%.

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Dynamic analysis of rotor–shaft systems with viscoelastically supported bearings

Cited by 37 publications

References 11 publications

Dynamic instability of supercritical driveshafts mounted on dissipative supports—Effects of viscous and hysteretic internal damping

Dynamic instability of supercritical driveshafts mounted on dissipative supports—Effects of viscous and hysteretic internal damping

A shaft finite element for analysis of viscoelastic tapered Timoshenko rotors

New Method with Experimental Validation for Power Transmission Process Analysis on Herringbone Gear Train System

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