Modeling and stabilization results for a charge or current-actuated active constrained layer (ACL) beam model with the electrostatic assumption

Ahmet Özkan Özer

doi:10.1117/12.2222189

15 April 2016 Modeling and stabilization results for a charge or current-actuated active constrained layer (ACL) beam model with the electrostatic assumption

Ahmet Özkan Özer

Author Affiliations +

Proceedings Volume 9799, Active and Passive Smart Structures and Integrated Systems 2016; 97991F (2016) https://doi.org/10.1117/12.2222189
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2016, Las Vegas, Nevada, United States

Abstract

An infinite dimensional model for a three-layer active constrained layer (ACL) beam model, consisting of a piezoelectric elastic layer at the top and an elastic host layer at the bottom constraining a viscoelastic layer in the middle, is obtained for clamped-free boundary conditions by using a thorough variational approach. The Rao-Nakra thin compliant layer approximation is adopted to model the sandwich structure, and the electrostatic approach (magnetic effects are ignored) is assumed for the piezoelectric layer. Instead of the voltage actuation of the piezoelectric layer, the piezoelectric layer is proposed to be activated by a charge (or current) source. We show that, the closed-loop system with all mechanical feedback is shown to be uniformly exponentially stable. Our result is the outcome of the compact perturbation argument and a unique continuation result for the spectral problem which relies on the multipliers method. Finally, the modeling methodology of the paper is generalized to the multilayer ACL beams, and the uniform exponential stabilizability result is established analogously.

Conference Presentation

Citation Download Citation

Ahmet Özkan Özer "Modeling and stabilization results for a charge or current-actuated active constrained layer (ACL) beam model with the electrostatic assumption", Proc. SPIE 9799, Active and Passive Smart Structures and Integrated Systems 2016, 97991F (15 April 2016); https://doi.org/10.1117/12.2222189

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