Vibration suppression of a skew cantilever plate using PZT patches

Perngjin Frank Pai; Bernd Rommel; Ahmad S. Naser; Mark J. Schulz

doi:10.1117/12.316327

24 July 1998 Vibration suppression of a skew cantilever plate using PZT patches

Perngjin Frank Pai, Bernd Rommel, Ahmad S. Naser, Mark J. Schulz

Proceedings Volume 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures; (1998) https://doi.org/10.1117/12.316327
Event: 5th Annual International Symposium on Smart Structures and Materials, 1998, San Diego, CA, United States

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.

Citation Download Citation

Perngjin Frank Pai, Bernd Rommel, Ahmad S. Naser, and Mark J. Schulz "Vibration suppression of a skew cantilever plate using PZT patches", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); https://doi.org/10.1117/12.316327

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