Robust Control Method And Experiment Study Of Active Constrained Layer Damping

Active Constrained Layer Damping (ACLD) treatments are that the uncontrolledconstrained layer of passive constrained layer damping is replaced by controlledpiezoelectric material. The shear deformation of viscoelastic materials can be controlledactively in order to enhance energy dissipation of vibration. ACLD is a typical hybridstrategy of active and passive vibration control. It combines the advantages of activecontrol and passive damping and reveals great potential applications on structurevibration control. In this paper, a finite element model is developed to describe andpredict the vibration characteristics of the structures treated with ACLD treatments. Theconstitutive property varied with frequency for viscoelastic material is characterized byGHM model. According to the study of simulation and experiment, the method ofvibration control about the structures treated with ACLD treatments is presented. Thecontents of the paper are expressed as follows:①A finite element dynamic model for the structure with ACLD treatments isderived based on the constitutive equations of elastic, viscoelastic and piezoelectricmaterials by application of Hamilton principle and virtual work principle.②Due to the confine of GHM model and FEA method, ACLD couplingstructure’s dynamic model is faulted for its giant DOF, a complex model reductionmethod composed of the high precision dynamic condensation method and the balancedmodel reduction method in the state space is utilized. The dynamic model with low DOF,considerable and controllable characteristics is derived based on the method above. Theresults of the examples indicate that the integrated system reduction scheme is feasibleand the reduced model can be directly applied to the development of the follow-upcontrol system.③Considering the electrical and mechanical coupling effect of piezoelectricmaterials, and regarding thin aluminum plate with partially covered ACLD structure asthe research object, the active controllers are designed respectively based on the PDcontrol theory and theH robust control theory, and simulation analysis isaccomplished. It shows that the ACLD structure has good actuator ability and strongvibration response inhibitory ability; theH robust controller of ACLD structure ownsstrong vibration control ability and robustness.④The experimental modal analysis of ACLD plates is carried on. Testing the mode characteristics of ACLD plate verifies the correctness of dynamic model. Thenusing mix-sensitivity robust controller to dSPACE control system for vibration controlexperiments of the closed-loop system. The experimental results illustrated that thecontroller is valid.