Abstract
In this study the nonlinear dynamics of an asymmetrical rotating shaft is investigated. The high-static-low dynamic stiffness are used. Also, the active time-delayed proportional derivative controller is employed to. The control signals include time delays. The effects of the proportional and derivative gains, flexible supports and added damping on the nonlinear behaviors of the system are examined. Also, the influences of the proportional and derivative gains on the critical time delays are investigated. As a result, it can be seen that a proportional derivative controller can decrease the unstable regions, and flexible supports improve the stability conditions of the system.
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