Time-varying Total Stiffness Matrix Of A Rigid Machine Spindle-angular Contact Ball Bearings Assembly: Theory And Analytical/experimental Verifications

Publisher:
IOS Press
Publication Type:
Journal article
Citation:
El-Saeidy Fawzi 2011, 'Time-varying Total Stiffness Matrix Of A Rigid Machine Spindle-angular Contact Ball Bearings Assembly: Theory And Analytical/experimental Verifications', IOS Press, vol. 18, no. 5, pp. 641-670.
Issue Date:
2011
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A lagrangian formulation is presented for the total dynamic stiffness and damping matrices of a rigid rotor carrying noncentral rigid disk and supported on angular contact ball bearings (ACBBs). The bearing dynamic stiffness/damping marix is derived in terms of the bearing motions (displacements/rotations) and then the principal of virtual work is used to transfer it from the bearing location to the rotor mass center to obtain the total dynamic stiffness/damping matrix. The bearing analyses take into account the bearing nonlinearities, cage rotation and bearing axial preload. The coefficients of these time-dependent matrices are presented analytically. The equations of motion of a rigid rotor-ACBBs assembly are derived using Lagrange's equation. The proposed analyses on deriving the bearing stiffness matrix are verified against existing bearing analyses of SKF researchers that, in turn, were verified using both SKF softwares/experiments and we obtained typical agreements.
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