Theoretical limits of damping attainable by smart beams with rate feedback

A. V. Balakrishnan

doi:10.1117/12.276539

13 June 1997 Theoretical limits of damping attainable by smart beams with rate feedback

A. V. Balakrishnan

Proceedings Volume 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures; (1997) https://doi.org/10.1117/12.276539
Event: Smart Structures and Materials '97, 1997, San Diego, CA, United States

Abstract

Using a generally accepted model we present a comprehensive analysis of an Euler-Bernoulli beam with PZT sensor-actuator and pure rate feedback. The emphasis is on the root locus - the dependence of the attainable damping on the feedback gain. There is a critical value of the gain beyond which the damping decreases to zero. We construct the time-domain response using semigroup theory, and show that the eigenfunctions form a Riesz basis, leading to a 'modal' expansion.

Citation Download Citation

A. V. Balakrishnan "Theoretical limits of damping attainable by smart beams with rate feedback", Proc. SPIE 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures, (13 June 1997); https://doi.org/10.1117/12.276539

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