Dynamic Response of an Unbalanced Rotor Supported on Ball Bearings

Tiwari, Mayank; Gupta, Kapil; Prakash, Om

doi:10.1006/jsvi.1999.3108

Cited by 177 publications

(113 citation statements)

References 13 publications

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“…The 435 former observation was also reported by Tiwari et al [105,106], and the latter by Tandon et al [46]. 436 Sopanen et al [54,55] ignored the slippage of the rolling elements (balls) [49] and neglected the centrifugal 437 forces acting on them, although it was shown that the modelled defect-related frequencies agree well with 438 the earlier results published in the literature [46,97,98,103,[105][106][107].…”

supporting

confidence: 54%

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

Singh

Howard

Hansen

2015

Journal of Sound and Vibration

117

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This paper presents a review of literature concerned with the vibration modelling of rolling element bearings that have localised and extended defects. An overview is provided of contact fatigue, which initiates subsurface and surface fatigue spalling, and subsequently leads to reducing the useful life of rolling element bearings. A review is described of the development of all analytical and finite element (FE) models available in the literature for predicting the vibration response of rolling element bearings with localised and extended defects. Low-and high-frequency vibration signals are generated at the entry and exit of the rolling elements into and out of a bearing defect, respectively. The development of this finding is described along with analytical models to approximate these vibration signals. Algorithms to estimate the size of bearing defects are reviewed and their limitations are discussed. A summary of the literature is presented followed by recommendations for future research.

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supporting

confidence: 54%

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

Singh

Howard

Hansen

2015

Journal of Sound and Vibration

117

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“…Tiwari et al [14] studied the non-linear dynamics of a horizontal rigid rotor: the appearance of instability and chaos in the dynamic response are observed both numerically and experimentally. They also studied the effect of radial internal clearance of a ball bearing and the appearance of regions of periodic, subharmonic and chaotic behavior [15]. Later, Harsha et al [16] proposed to take into account various sources of nonlinearity such as Hertzian contact force, surface waviness and internal radial clearance resulting in the transition from contact to no contact state between races and rolling elements.…”

Section: Introductionmentioning

confidence: 99%

Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings

Sinou

2009

Mechanism and Machine Theory

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To cite this version:Jean-Jacques Sinou. Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings. Mechanism and Machine Theory, Elsevier, 2009, 44 (9) AbstractThis study deals with the non-linear dynamic response of a flexible rotor supported by ball bearings. The excitation is due to unbalance force. The finite element rotor system is composed of a shaft with one disk, two flexible bearing supports and a ball-bearing element where the non-linearities are due to both the radial clearance and the Herztian contact between races and rolling elements. A numerical analysis is performed to analyze the non-linear behavior of this bearing rotor by using the Harmonic Balance Method with appropriate condensation located only on the non-linear coordinates of the system in order to minimize computer time. The condensation process reduces the original non-linear rotor system by focusing only on the solution of the non-linear equations of the Fourier coefficients associated with the system's non-linear components. In this study, the procedure is developed for the estimation of the harmonic and super-harmonic responses of the complex rotor system. Consequently, the non-linear unbalance responses and the associated orbits of the bearing rotor will be investigated. Moreover, the transition from contact to no-contact states between rolling elements and races, and the associated restoring contact forces are calculated for different speeds of the unbalanced rotor. Finally, hardening-type nonlinearity or softening-type nonlinearity due to the effects of radial clearance and unbalance mass are examined.

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“…The advantage of the LPM is that it provides a method to construct an effective dynamic model with relatively small number of degrees-of-freedoms (DOF), which facilitates computationally economical method to study the behaviour of gears and bearings in the presence of nonlinearities and geometrical faults [32,33,34,35].…”

Section: Gearbox Casing Model -Component Mode Synthesis Methodsmentioning

confidence: 99%