Vibration and damping characteristics of cylindrical shells with active constrained layerdamping treatments

Abstract

In this paper, the application of active constrained layer damping (ACLD) treatments isextended to the vibration control of cylindrical shells. The governing equation of motion ofcylindrical shells partially treated with ACLD treatments is derived on the basis of theconstitutive equations of elastic, piezoelectric and visco-elastic materials and an energyapproach. The damping of a visco-elastic layer is modeled by the complex modulusformula. A finite element model is developed to describe and predict the vibrationcharacteristics of cylindrical shells partially treated with ACLD treatments. A closed-loopcontrol system based on proportional and derivative feedback of the sensor voltagegenerated by the piezo-sensor of the ACLD patches is established. The dynamic behaviorsof cylindrical shells with ACLD treatments such as natural frequencies, loss factors andresponses in the frequency domain are further investigated. The effects of several keyparameters such as control gains, location and coverage of ACLD treatmentson vibration suppression of cylindrical shells are also discussed. The numericalresults indicate the validity of the finite element model and the control strategyapproach. The potential of ACLD treatments in controlling vibration and soundradiation of cylindrical shells used as major critical structures such as cabins ofaircraft, hulls of submarines and bodies of rockets and missiles is thus demonstrated.