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Proceedings Paper

Vibration suppression of a skew cantilever plate using PZT patches
Author(s): Perngjin Frank Pai; Bernd Rommel; Ahmad S. Naser; Mark J. Schulz
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Paper Abstract

We investigate the control of steady-state vibrations of a cantilevered skew isotropic plate by using nonlinear saturation phenomena and PZT (lead zirconate titanate) patches as sensors and actuators. Modal testing and finite- element analysis are performed to study the bending- torsional dynamic characteristics due to the non-rectangular plate geometry. The control method uses linear second-order controllers coupled to the plate via quadratic terms to establish energy bridges between the plate and controllers. Each linear second-order controller is designed to have a 1:2 internal resonance with one of the plate vibration modes and hence is able to exchange energy with the plate at or around the specific modal frequency. Because of quadratic nonlinearities and 1:2 internal resonances, saturation phenomena exist and are used to suppress modal vibrations. To test this control technique in an efficient and systematic way, we built a digital control system that consists of SIMULINK modeling software and a dSPACE DS1102 controller in a pentium computer. Both numerical and experimental results show that this nonlinear control method is robust in suppression steady-state resonant vibrations without significant spill-over effects.

Paper Details

Date Published: 24 July 1998
PDF: 11 pages
Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316327
Show Author Affiliations
Perngjin Frank Pai, Univ. of Missouri/Columbia (United States)
Bernd Rommel, Univ. of Missouri/Columbia (United States)
Ahmad S. Naser, North Carolina Agricultural and Technical State Univ. (United States)
Mark J. Schulz, North Carolina Agricultural and Technical State Univ. (United States)

Published in SPIE Proceedings Vol. 3323:
Smart Structures and Materials 1998: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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