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Proceedings Paper

Modal estimates for the physical parameters of a programmable structure
Author(s): Daniel J. Inman; James P. Calamita
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Paper Abstract

This work considers the limits of modal analysis based identification of the coefficients on a partial differential equation model of a programmable structure. The programmable structure considered here consists of a cantilevered beam with embedded self sensing piezoceramic actuators and surface mounted control module. A Euler Bernoulli beam model is used as the basic equation of motion. This model is modified to include internal (strain rate) and external (linear viscous) damping mechanisms. In order to model the effects of the embedded piezoceramic as well as the control module, the modulus (EI), density, and damping coefficients are modeled as piecewise constant. An assumed mode approximation is used with off diagonal terms neglected. This numerical approach is then used along with measured frequencies and damping ratios to estimate the various damping and stiffness coefficients. The consistency of the estimates is compared with increasing mode number and the limitations of the procedure are discussed.

Paper Details

Date Published: 1 May 1994
PDF: 9 pages
Proc. SPIE 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures, (1 May 1994); doi: 10.1117/12.174212
Show Author Affiliations
Daniel J. Inman, Virginia Polytechnic Institute and State Univ. (United States)
James P. Calamita, Virginia Polytechnic Institute and State Univ. (United States)


Published in SPIE Proceedings Vol. 2192:
Smart Structures and Materials 1994: Mathematics and Control in Smart Structures
H. Thomas Banks, Editor(s)

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