Modal Control Model and Vibration Control of SCLD Plate

To effectively suppress the low frequency vibration of thin plate, the active vibration control of smart constrained layer damping (SCLD) structure was studied. Firstly, the damping characteristics of viscoelastic material varying with temperature and frequency were considered, and coupling finite element model for dynamics analysis was established based on GHM damping model. To address the large numbers of degrees of freedom of dynamics analysis model, model reduction was conducted through dynamic condensation in physical coordinate and complex modal truncation in state equation, and low-dimensional real modal control model was obtained from the conversion of complex modal space to the real modal space. Finally, the theoretical model was verified by modal experiment, and vibration controller was designed based on low-dimensional control model to validate the proposed method. The results show that the proposed combination reduction method is effective for SCLD structure. For the modal control model, the vibration control effect is desirable: the decay time of vibration response is shortened from 0.20 s to 0.08 s under unit step excitation, and the root mean square values of vibration response decreases 39.65% under gauss white noise excitation.