Non-linear dynamic behaviors of rolling element bearings due to surface waviness

Harsha, S. P.; Sandeep, K.; Prakash, R.

doi:10.1016/s0022-460x(03)00384-5

Cited by 147 publications

(69 citation statements)

References 6 publications

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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%

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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Section: International Journal Of Rotating Machinerymentioning

confidence: 99%

Simple and Versatile Dynamic Model of Spherical Roller Bearing

Ghalamchi

Sopanen

Mikkola

2013

International Journal of Rotating Machinery

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“…In this study, the outer race of the ball bearing is assumed to be fixed to the flexible support and the inner race is assumed to be fixed to the shaft. The precessional angular position of the center of the ball is given by (Harsha et al [16] and Tiwari et al [14])…”

Section: The Rolling Bearingmentioning

confidence: 99%

“…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. Periodic, quasiperiodic and chaotic behavior were analyzed in detail.…”

Section: Introductionmentioning

confidence: 99%

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

Sinou

2009

Mechanism and Machine Theory

101

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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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“…For waviness order iN b , peak amplitude of vibration and super-harmonics appear at the wave passage speed (x wp ). Harsha et al [17] analyzed the nonlinear behavior of ball bearings due to the preload effect. Nonlinear dynamic response is found to be associated with the ball passage frequency.…”

Section: Introductionmentioning

confidence: 99%