Algorithm of multiple synchronization
for two-rotor vibration unit with time-varying payload
An algorithm of multiple synchronization of two-rotor vibration unit with time-varying payload is proposed. The performance of the proposed system is analyzed by computer
simulation for model of the 2-rotor vibration set-up.
The main result of our study is demonstration of a stable multiple synchronous mode in vibration units with changing payload mass. It holds if the unit is loaded in a synchronous mode and controlling torques are bounded. The main dynamical properties of the multiple synchronous mode do not depend on the rate of payload mass changing and synchronization time is less than 3 – 4 s if the unit is loaded in synchronous mode. Comparison of systems with bounded and unbounded controls shows that the system dynamics in both cases are equivalent. They differ only by number of rotor turns made before the multiple synchronization is achieved.