Untitled Document

A totally new graduate-level course developed at Clemson University. Fundamental concepts in mechanical vibration analysis and control with emphasis on distributed-parameters and vibration-control systems; performance characteristics of smart (active) materials including piezoelectric and piezoceramics, magnetostrictive, shape-memory materials, and electro/magneto-rheological fluids; physical principles and constitutive models of piezoelectric materials; piezoelectric sensors and actuators; and recent advances in piezoelectric-based microelectromechanical and nanoelectromechanical systems design and implementation.

Introduction and Overview:
- Introduction and familiarization with course topics; Preliminaries and definitions; Vibration isolation vs. vibration absorption vs. vibration control; Classifications of vibration-control systems.
- Mathematical background review (matrix manipulation, indicial notation and summation, calculus of variations).

Vibration of Continuous Systems:
- Review of advanced principles of dynamics; Discrete and continuous systems; Damped and undamped systems; Influence coefficients and flexibility; Virtual work and Hamilton�s principle.
- Vibration of strings; Longitudinal vibration of beams; Torsional vibration of shafts; Transverse vibration of beams; Vibration of membrane and plates.
Constitutive Models of Smart Materials and Structures:
- Preliminaries and definitions; Engineering applications of smart materials; Recent developments in smart structures (micro and nanotechnology).
- Physical principles and constitutive models of piezoelectric materials (PZT), electro/magneto-strictive materials (PMN), shape memory and ferromagnetic shape memory materials, ER and MR fluids.
Vibration-Control Systems:
- Passive, semi-active, adaptive-passive and active vibration control methods; Actuators and sensors configurations and collocation; Piezoelectric-based actuators and sensors modeling, design and implementation.
- Active vibration control of rotating and translating flexible beams using piezoelectric patch and stack actuators; Delayed feedback and active resonator vibration absorption via inertial actuators.
- Semi-active and adaptive-passive vibration control using adjustable elements and piezoelectric shunting; Self-sensing actuation using piezoelectric patches.