Design of a passive/active autoparametric cantilever beam absorber with PZT actuator for duffing systems

This paper deals with the design and synthesis of a cantilever-beam passive/active autoparametric vibration absorber, with a small PZT patch actuator, used on a primary damped Duffing system. The primary system consists of amass, viscous damping and cubic stiffness spring, over which is mounted a cantilever beam with a PZT patch actuator actively controlled to attenuate harmonic and resonant excitation forces. The nonlinear approximate frequency analysis of the overall passive system is performed via multiple scales methods. The addition of the PZT actuator to the cantilever beam absorber enables the application of active vibration control methods to attenuate the primary system response and preserving, as possible, the autoparametric interaction to compensate varying excitation frequencies. The overall dynamic performance is illustrated via numerical simulations.