Microscopic Actuations and Optimal Control of Parabolic Shells

  • Hornsen (HS) TzouEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 247)


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.



This research was supported, in part, by the Natural Science Foundation of China (No. 11172262), the 2nd phase of the “985 Project” at Zhejiang University and the State Key Laboratory of Fluid Power Transmission and Control (No. SKLoFP_CX_001).


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical Structures; Interdisciplinary Research Institute, College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina

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