Stability analysis of a rotor bearing system due to surface waviness and number of balls

Harsha, S. P.; Kankar, Pavan Kumar

doi:10.1016/j.ijmecsci.2004.07.007

Cited by 99 publications

(61 citation statements)

References 12 publications

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“…• When number of balls are increased peak amplitude decreases implying a stiffer system and same was reported by Harsha et al [4] and Kankar et al [8]. It can be predicted from the results that increasing number of balls reduces the effect of frequency modulation.…”

Section: Resultssupporting

confidence: 65%

Nonlinear Dynamic Analysis of Ball Bearings Due to Varying Number of Balls and Centrifugal Force

Vakharia

Gupta

Kankar

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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This paper aims to study the influence of varying number of balls on nonlinear dynamic behavior of an unbalanced rotor supported by ball bearings. Centrifugal force due to rotation of balls is included in the model. An oscillating spring-mass-damper is considered to formulate the contact between races and rolling elements. Stiffness for the spring-mass-damper system is calculated using Hertzian elastic contact deformation theory. The results show appearance of regions of periodic, sub-harmonic and chaotic behavior on response of the system. Invariably, the route to chaos is seen to be intermittency mechanism by period doubling behavior. Poincare maps and frequency responses are used to explain and to study the system behavior.

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Section: Resultssupporting

confidence: 65%

Nonlinear Dynamic Analysis of Ball Bearings Due to Varying Number of Balls and Centrifugal Force

Vakharia

Gupta

Kankar

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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“…For example, Harsha et al [14,15] studied the rolling element dynamics for certain imperfect configurations of single row deep-grooved ball bearings. The study revealed dynamic behaviors that are extremely sensitive to small variations in system parameters, such as the number of balls and the number of waves.…”

Section: International Journal Of Rotating Machinerymentioning

confidence: 99%

“…The total stiffness coefficient for both inner and outer race contact areas can be expressed with the following equation: According to (14) and (19), the contact force for roller in row can be calculated in this manner:…”

Section: Elastic Deformation In Spherical Rollermentioning

confidence: 99%

Simple and Versatile Dynamic Model of Spherical Roller Bearing

Ghalamchi

Sopanen

Mikkola

2013

International Journal of Rotating Machinery

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Rolling element bearings are essential components of rotating machinery. The spherical roller bearing (SRB) is one variant witnessing increasing use because it is self-aligning and can support high loads. It is becoming increasingly important to understand how the SRB responds dynamically under a variety of conditions. This study introduces a computationally efficient, three-degree-offreedom, SRB model that was developed to predict the transient dynamic behaviors of a rotor-SRB system. In the model, bearing forces and deflections were calculated as a function of contact deformation and bearing geometry parameters according to the nonlinear Hertzian contact theory. The results reveal how some of the more important parameters, such as diametral clearance, the number of rollers, and osculation number, influence ultimate bearing performance. One pair of calculations looked at bearing displacement with respect to time for two separate arrangements of the caged side-by-side roller arrays, when they are aligned and when they are staggered. As theory suggests, significantly lower displacement variations were predicted for the staggered arrangement. Following model verification, a numerical simulation was carried out successfully for a full rotor-bearing system to demonstrate the application of this newly developed SRB model in a typical real world analysis.

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“…Central to their explanation, the authors found subharmonic resonance response in system which produces severe vibrations due to the system nonlinearity. Harsha and Kankar [6], Harsha [7] and Kankar et al [8] have studied the stability of rotor bearing system having races waviness with varying the rolling elements. The effect of damping and stiffness are considered as sources of nonlinearity in these studies.…”

mentioning

confidence: 99%

Effect of Unbalanced Rotor on the Dynamics of Cylindrical Roller Bearings

Sharma

Amarnath

Kankar

2015

Proceedings of the 9th IFToMM International Conference on Rotor Dynamics

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In present study, the non-linear dynamic behavior of a rigid-unbalanced rotor supported on cylindrical roller bearing is analyzed. An analytical model of the rotor-bearing system is developed for the investigation. The Hertzian contact between the bearing components and the clearance are considered as source of nonlinearities in the study. The contact between the rolling elements and races is model using nonlinear spring-mass system. Stiffness of nonlinear spring is calculated by Hertzian elastic contact deformation theory. Responses show system behavior as periodic, sub-harmonic and chaotic at different rotor speed. All the results are presented in form of fast Fourier transforms and Poincarè maps. Presence of instability and chaos in the dynamic response has been observed as the speed of the rotor-bearing system is changed. The study shows that the interaction of varying compliance (VC) frequency due to parametric excitation and rotational frequency (X) due to the unbalanced rotor force.

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Stability analysis of a rotor bearing system due to surface waviness and number of balls

Cited by 99 publications

References 12 publications

Nonlinear Dynamic Analysis of Ball Bearings Due to Varying Number of Balls and Centrifugal Force

Nonlinear Dynamic Analysis of Ball Bearings Due to Varying Number of Balls and Centrifugal Force

Simple and Versatile Dynamic Model of Spherical Roller Bearing

Effect of Unbalanced Rotor on the Dynamics of Cylindrical Roller Bearings

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