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Proceedings Paper

Analytical solution technique for multiple-patch piezoelectric sensor-actuator vibration control problems
Author(s): James M. Sloss; John C. Bruch Jr.; Ibrahim S. Sadek; Sarp Adali
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Paper Abstract

An analytical method is given for the determination of the eigenfunctions and eigenfrequencies for one-dimensional structural vibration problems in the presence of patch sensors and patch actuators. The method is based on converting the differential equation formulation of the problem to an integral equation formulation. The conversion is accomplished by introducing an explicit Green's function. The Green's function consists of two parts, one taking account of the stiffness and the other taking account of the control moments induced by the distributed actuators. The control moments involve piezoelectric constants and feedback voltages made up of gains times the sensor signals. Obtaining the eigenvalues and eigenfunctions of this integral equation gives the solution to the piezo-control problem.

Paper Details

Date Published: 19 June 2000
PDF: 12 pages
Proc. SPIE 3984, Smart Structures and Materials 2000: Mathematics and Control in Smart Structures, (19 June 2000); doi: 10.1117/12.388793
Show Author Affiliations
James M. Sloss, Univ. of California/Santa Barbara (United States)
John C. Bruch Jr., Univ. of California/Santa Barbara (United States)
Ibrahim S. Sadek, American Univ. of Sharjah (United Arab Emirates)
Sarp Adali, Univ. of Natal (South Africa)

Published in SPIE Proceedings Vol. 3984:
Smart Structures and Materials 2000: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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