Modeling of vibrational processes in planetary vibrodrive with kinematically unbalanced mass

The paper presents mathematical models and computer simulation results for the oscillatory processes in planetary vibration motor with a kinematically unbalanced mass. The method of oscillation generation implemented in vibration generators allows adjusting the oscillation frequency and amplitude without changing design elements of vibration drives. Including some additional unbalanced mass in the system facilitates control over the mode of motion of actuating devices. The previously obtained control dependencies did not take into account dynamic processes in the oscillatory system. They were obtained at the static state of inertia bodies when the direct axis misalignment was neglected and, correspondingly, the same is true for this misalignment impact on oscillation parameters. The proposed mathematical models representing differential equations of the relative motion of inertia body gravity center take into account possible unstable phases and allow precise simulation of the mass center motion at runout and in steady state. The results of oscillatory processes' computer simulation presented on the basis of the proposed mathematical models show the principal possibilities of the considered vibration drives in relation to the control over actuating device oscillation parameters. The most efficient and easy-to-apply control parameters were defined. The authors demonstrated the system mass center motion trajectories at runout and in steady state when one can obtain various trajectory's forms under various control parameters.