Active Vibration Control of an Axially Moving Cantilever Structure Using PZT Actuator

In this article, vibration characteristics and active vibration control (AVC) of an axially moving cantilever structure are investigated. First, the vibration equation of an axially moving cantilever beam with variable length and tip mass is derived from the Lagrange equation of the second kind. The natural frequencies and modes of vibration are calculated by solving a differential equation. Then, in order to suppress the transverse vibration of the axially moving cantilever structure, piezoelectric (PZT) ceramics are used as actuator in combination with proportional plus derivative (PD) or fuzzy algorithm to build a closed-loop feedback system. The simulation of AVC with two controllers is implemented using a commercially available software platform. The numerical examples illustrate that velocity and tip mass significantly affect vibration characteristics. The simulation results suggest that the PZT actuator is effective to suppress vibration.