Control strategy design for an AESDFD-Rotor system under uncertainty based on axial dynamic coupling analysis

The active elastic support-dry friction damper (AESDFD) provides adjustable stiffness and damping for multi-mode vibration control of aero-engine rotor systems over a wide speed range. However, support stiffness and friction coefficient may deviate from their nominal values in practical systems, resulting in changes in the control performance obtained from deterministic designs. To address this issue, this study investigates the AESDFD-rotor system under parametric uncertainty. The support stiffness and friction coefficient are modeled as ± 10% interval uncertain parameters. Stiffness sensitivity and modal participation factor analyses are used to examine the effects of damper configuration, the stick–sliding state, and axial modal redistribution on the control performance. The influence of rotational speed on the stick–sliding transition is then analyzed to determine the control interval for different modes. Based on these analyses, a damper-oriented Kriging-based decoupled double-loop optimization (DK-DDLO) method is developed to optimize the worst-case vibration response within the prescribed parameter intervals. Under ± 10% uncertainties in support stiffness and friction coefficient, the worst-case vibration responses of the first and second modes are reduced by 96.1% and 90.1%.