Active Vibration Control of Rotating Cylindrical Shells Under Typical Faults with Mode Localization Effects

Rotating cylindrical shells serve as critical components in aerospace/mechanical engineering applications. However, certain faults inevitably occur during both manufacturing and operation, such as thickness non-uniformity caused by machining errors and bolt loosening during service. In our previous research, we systematically analyzed the mode localization phenomena induced by these two typical faults. The occurrence of mode localization significantly affects the dynamic characteristics of cylindrical shells, which may not only generate abnormal noise impacting the environment, but even endanger structural stability and safety. Therefore, it is of great significance to conduct active vibration control research on rotating cylindrical shells under these typical fault conditions. The force-electric coupling equation of the piezoelectric patches and the cylindrical shell was established. First, the Linear Quadratic Gaussian (LQG) control method was adopted for the active vibration control. In view of the characteristics of mode localization, the positional relationship between piezoelectric sensors and actuators and localized flexural deformation was considered, and the control effects of different arrangement methods were analyzed. On this basis, an accurate control method for piezoelectric vibration based on a genetic algorithm is proposed. The genetic algorithm is used to obtain the optimal input voltage for each piezoelectric actuator, which accurately suppresses localized flexural deformation without changing the overall flexural deformation.