... of governing equations of motions is obtained using Runge–Kutta method. The model provides the vibrations of shaft, balls, and housing in time and frequency domains. Computed results from the model are validated with experimental results, which are generated using healthy and defective deep groove ball...

... the accelerations of the balls, inner and outer races, and cage. The accelerations and velocities are integrated in time using a fourth-order Runge–Kutta method to predict the velocities and positions, respectively. The states of the bearing components are recorded periodically, and the simulation ends once...

... a similar study but has considered the material as discontinuous domain. bearing dynamics dented bearings spalls ball bearings crystal defects indentation Runge-Kutta methods 22 12 2007 30 04 2008 12 08 2008 This investigation extends the state of the art...

... bearings vibrations finite difference methods Runge-Kutta methods When a turbo-expander set is at high speed, axial external forces acting on the thrust bearings may arise from the pressure difference between two blade wheels at the ends of the rotor, as shown in Fig. 1 . This situation can...