A Comparison of Actuators for Vibration Control of the Planar Vibrations of a Flexible Cantilevered Beam

Abstract

The methods and results of an analytical study comparing the effectiveness of four actuators in damping the vibrations of a planar clamped-free beam are presented. The actuators studied are two inertia-type actuators, the proof mass and reaction wheel, and two variable geometry trusses, the planar truss and the planar truss proof mass (a combination variable geometry truss/inertia-type actuator). Actuator parameters and loca tions used in the models were chosen based on the results of a parametric study. A full- state, LQR optimal feedback control law was used for control in each system. Numerical simulations of each beam/actuator system were performed in response to initial condition inputs. These simulations provided information such as time response of the closed-loop system and damping provided to the beam. This information can be used to determine the "best" actuator for a given purpose.

Electromagnetic Actuator and Stacked Piezoelectric Sensors for Controlling Vibrations of a Motor on a Flexible Structure

“…Popp and Frischgesell [32], Young and Hansen [33], Fukuda et al [34] and Kim et al gave the methods of vibration control by using piezoelectric actuators. Clark et al [35] also made comparisons of actuators [36]. The problems treated in the papers are concerned with the active vibration control of beams, and hence, large energies, large power ampli"ers and strong actuators are required when heavy machines such as a motor lie on the beam.…”