The use of lightweight, thin flexible structures creates a dilemma in the aerospace and robotic industries. While increased operating efficiency and mobility can be achieved by employing such structures, these benefits are compromised by significant structural vibrations due to the increased flexibility. To address this problem, extensive research in the area of vibration control of flexible structures has been performed over the last two decades. The majority of the research has been based on the use of discrete piezoceramic actuators (PZTs) as active dampers, as they are commercial availability and have high force and bandwidth capabilities. Many different active vibration control strategies have previously been proposed, in order to effectively suppress vibrations. The synthesized vibration controllers will be less effective or even make the system to become unstable if the actuator locations and control gains are not chosen properly. However, there is currently no quantitative procedure that deals with these procedures simultaneously. This thesis presents a theoretical and numerical study of vibration control of a singlelink flexible manipulator attached to a rotating hub, with PZTs bonded to the surface of the link. A commercially available fibre optic sensor called ShapeTape is introduced as a new feedback sensing technique, which is complemented by a quantitative and definitive model based procedure for selecting the individual PZT locations and gains. Based on Euler-Bernoulli beam theory, discrete finite element equations are obtained using Lagrange’s equations for a PZT-mounted beam element. Slewing of the flexible link by a rotating hub induces vibrations in the link that persist long after the hub stops rotating. These vibrations are suppressed through a combined scheme of PD-based hub motion control and proposed PZT actuator control, which is a composite linear (L-type)
[1]
David S. Watkins,et al.
Fundamentals of matrix computations
,
1991
.
[2]
E. Park,et al.
Finite Element Modeling of a Slewing Non-linear Flexible Beam for Active Vibration Control with Arrays of Sensors and Actuators
,
2009
.
[3]
Lee A. Danisch,et al.
Spatially continuous six degree of freedom position and orientation sensor
,
1999
.
[4]
M. Kurosawa,et al.
A smooth impact rotation motor using a multi-layered torsional piezoelectric actuator
,
1999,
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.
[5]
Jerry H. Ginsberg,et al.
Advanced Engineering Dynamics
,
1988
.
[6]
Weiping Li,et al.
Applied Nonlinear Control
,
1991
.
[7]
Daniel J. Inman,et al.
Design of Nonproportional Damped Systems via Symmetric Positive Inverse Problems
,
2004
.
[8]
Darren M. Dawson,et al.
Lyapunov-Based Control of Mechanical Systems
,
2000
.
[9]
Leonard Meirovitch,et al.
Methods of analytical dynamics
,
1970
.
[10]
Stefano Marchesiello,et al.
A new analytical technique for vibration analysis of non-proportionally damped beams
,
2003
.
[11]
D. Logan.
A First Course in the Finite Element Method
,
2001
.
[12]
Ali H. Nayfeh,et al.
A fully nonlinear theory of curved and twisted composite rotor blades accounting for warpings and three-dimensional stress effects
,
1994
.
[13]
Paolo L. Gatti,et al.
Introduction to Dynamics and Control of Flexible Structures
,
1996
.