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2019 | OriginalPaper | Chapter

10. Microscopic Actuations and Optimal Control of Parabolic Shells

Author : Hornsen (HS) Tzou

Published in: Piezoelectric Shells

Publisher: Springer Netherlands

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Abstract

Open parabolic cylindrical shells are important to radial signal collection, reflection and/or transmission applied to radar antennas, space reflectors, solar collectors, etc. The spatially distributed microscopic modal control effectiveness induced by piezoelectric actuators laminated on a simply-supported parabolic cylindrical shell panel was investigated in this study. Distinct distributed modal actuation behaviors of transverse vibrations of the shell were analyzed based on a newly-formulated mode shape function. The expression of modal control force induced by an actuator patch was derived. The spatially distributed microscopic actuation effectiveness induced by an infinitesimal actuator element was also derived to precisely illustrate the spatial distribution behavior.

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Metadata
Title
Microscopic Actuations and Optimal Control of Parabolic Shells
Author
Hornsen (HS) Tzou
Copyright Year
2019
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-024-1258-1_10

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