Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass

Vibration of a Rayleigh cantilever beam with axial force and tip mass

“…When the tip mass is heavy enough, the cantilever is usually linked to an elastically restrained support, bending vibration of such structures has been investigated [6]. For a cantilever beam carrying a tip mass, Fung et al [7] developed an electromagnetic actuator and analyzed its dynamic behavior. For a simple cantilever beam with a tip mass, Gurgoze [9] proposed an equivalent spring-mass system to solve it.…”

Introduction

“…The utilization of direct position feedback control [2,43,55,76,79] and velocity feedback control [27,28,61,81,100] is common and used extensively in experimental AVC applications. Proportional integrating derivative (PID) controllers have proved their worth over the years in numerous industrial applications, and due to the simplicity of the strategy and the analogy with position, velocity and acceleration feedback [34] have also found their place in vibration control [3,18,29,35,36]. These are very well established, albeit somewhat limited control strategies for the modern active vibration applications integrated in high-tech products.…”

Laboratory Demonstration Hardware for AVC

“…The clamp initially considered would fix the smart structure in a vertical position [27]. This means that the beam tip would vibrate alongside the Earth's gravitational field.…”