Analytical Disturbance Modeling of a Flywheel Due to Statically and Dynamically Unbalances

Unbalances in rotational machines can't delete completely somehow for precise mechanism it is necessary to control vibration due to such disturbances. In this research two common disturbance resources (dynamically and statically unbalances) for a flywheel on a rigid shaft modeled and energy methods used to derive equation of motion in five degrees of freedom. Equations linearized due to small vibration and disturbance forces and torques achieved. The model use to define design criteria for accepted level of unbalances in precise machines like real flywheel with known parameters used in a control system of a satellite.