## 5 Conclusions
\begin{tabular}{l l} \(\alpha_{ik}\) & Inner ring contact angle of the bearing of the kth rolling element (\({}^{\circ}\)) \\ \(\alpha_{ik}\) & Outer ring contact angle of the bearing of the kth rolling element (\({}^{\circ}\)) \\ \(\beta_{k}\) & The angle between the spinning axis of the rolling elements and Z axis (\({}^{\circ}\)) \\ \(D\) & The diameter of the rolling element (mm) \\ \(d_{m}\) & Pitch Diameter (mm) \\ \(\delta_{ik}\delta_{ok}\) & The contact deformation between the inner/outer bearing ring and kth rolling element \\ \(fdf_{o}\) & Inner/Outer groove curvature radius coefficient \\ \(r/r_{o}\) & Inner/Outer groove curvature radius (mm) \\ \(\eta_{i}\) & The distance between the rotating axis Z and inner raceway groove curvature center (mm) \\ \(L_{ik}l_{ok}\) & The distance between the inner/outer raceway groove curvature center and the rolling element center before deformation \\ \(l_{ik}l_{ok}\) & The distance between the inner/outer raceway groove curvature center and the rolling element center after deformation \\ \(Q_{ik}/Q_{ok}\) & The contact force between the inner/outer ring and the rolling element (N) \\ \(M_{gk}\) & Gyroscopic moment of the kth rolling element (N.mm) \\ \(K_{ok}\) & Coefficient of the load-displacement between inner ring and kth rolling element (N/mm1.5) \\ \(K_{gk}\) & Coefficient of the load-displacement between outer ring and kth rolling element (N/mm1.5) \\ \(\lambda_{ik}\), \(\lambda_{ok}\), & The friction coefficients between the inner/outer raceway and kth rolling element \\ \(F_{ck}\) & The centrifugal force of kth rolling element (N) \\ \(F_{i}\) & The resultant force vector of the inner ring due to all of the contacting rolling elements (N) \\ \(K_{b}\) & The dynamic supporting stiffness matrix of the bearing (N/\(\mu\)m) \\ \(\delta_{ik}\) & The displacements for inner raceway groove curvature center corresponding to the kth rolling element (mm) \\ \(T_{k}\) & The transformation matrix \\ \(\Delta\mathbf{w}_{k}\) & The additional displacements caused by the waviness of the bearing rings and rolling elements (mm) \\ \(\Delta\mathbf{D}_{k}\) & The additional displacements due to roundness error of the bearing rings and rolling elements (mm) \\ \(p_{ik}\), \(p_{ok}\) & The radial waviness of inner and outer raceways \\ \(p_{ik}\), \(p_{ok}\) & The axial waviness of inner and outer raceways \\ \(w_{ik}\), \(w_{ok}\) & The waviness of kth rolling elements \\ \(A_{in}\), \(A_{out}\), \(B_{in}\), & The amplitudes of the surface waviness \\ \(B_{in}\), \(C_{hor}\), \(C_{hu}\) & The initial phases angle of the surface waviness \\ \(n_{in}\), \(\psi_{in}\), \(\varphi_{out}\), & The initial phases angle of the surface waviness \\ \(\psi_{out}\), \(\varphi_{ha}\) & The sum of the time-varying forces from all of the contacting rolling elements (N) \\ \(q\) & The dynamic displacement vector of the rotor \\ \(\alpha_{i}\) & Outer ring contact angle of the bearing (\({}^{\circ}\)) \\ C & The structural damping matrix of the system \\ G & The gyroscopic matrix of the system \\ \(J_{s}\) & The inertia moment of the rotor about the \(W_{s}\)-axis \\ \(R_{lSC}\) & The radius the least squares circle \\ \end{tabular}