Influence analysis of control signal phase on the vibration reduction effect of active constrained layer damping

Abstract

The phase of the control signal applied on the piezoelectric constrained layer will have a direct influence on the vibration reduction effect in the process of implementing active constrained layer damping (ACLD) to the structure. Taking the ACLD cantilever beam system as the object, this paper focused on the study of the effect of control signal phase on the vibration suppression using the ACLD by establishing the experimental system and creating the relevant dynamic model. By analyzing the shear deformation of viscoelastic layer and combining piezoelectric equation, dynamic viscoelastic theory and mechanical analysis, a dynamic model of ACLD cantilever beam was created, which can effectively simulate two damping mechanisms and include the influence of control signal phase. The rationality of the dynamic model was verified by comparing the natural frequency and the time-domain vibration response corresponding to different control signal phases obtained by simulation and experiment. Using the presented dynamic model and the experimental results, the influence of the control signal phase on the vibration reduction effect was determined. Specifically, the control signal phase and the vibration response amplitude of the cantilever beam show a harmonic relationship centered on the response amplitude without control. The phase value corresponding to the best vibration reduction effect is not 180° like pure piezoelectric active vibration reduction and it is about 140° because of the hysteresis effect of viscoelastic material (for ZN-1 viscoelastic material selected in this study, the loss angle is about 40°).