A New Dynamic Model to Predict Vibration of Cylindrical Roller Bearings with Clearance and Off-Sized Roller Defects

In this paper, a new dynamic model to predict the vibration of cylindrical roller bearings with clearance and off-size roller defects is presented. The contact between rollers and rings is modeled as gap-activated non-linear spring-damper elements. The motion equations of a bearing are established by means of Newton’s Second Law with consideration of the nonlinear contact forces. The solvable algebraic equations in time domain are derived by Newmark scheme. With a simple transformation, the equations can be converted into a set of linear complimentary equations. By employing Lemke algorithm, the accurate results can be obtained. Case studies, a 10-roller cylindrical bearing of having various clearance and single off-size roller defects, show that the proposed method is feasible and effective.