The problem considered is that of solving for the control input that generates partly specified motion of a deformable structure with distributed piezoelectric actuation. The motion constraint, called the program constraint, is specified as a desired relation on the motion of selected material points of the structure. The solution is based on a projection method applicable to a class of finite-dimensional dynamical systems which includes many common vibration models. For a nonlinear model with a nonlinear program constraint, the procedure in general results in a set of differential algebraic equations. It is shown that for linear models with linear periodic program constraints, the system is reduced to a set of algebraic equations. Application examples are presented for a Euler-Bernoulli beam to demonstrate the usefulness of the procedure.
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April 2012
Research Papers
Specified Motion of Piezoelectrically Actuated Structures
T. M. Seigler,
T. M. Seigler
University of Kentucky
, Lexington, KY 40506-0503
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A. H. Ghasemi
A. H. Ghasemi
University of Kentucky
, Lexington, KY 40506-0503
Search for other works by this author on:
T. M. Seigler
University of Kentucky
, Lexington, KY 40506-0503
A. H. Ghasemi
University of Kentucky
, Lexington, KY 40506-0503J. Vib. Acoust. Apr 2012, 134(2): 021002 (7 pages)
Published Online: January 13, 2012
Article history
Received:
May 14, 2010
Accepted:
July 15, 2011
Online:
January 13, 2012
Published:
January 13, 2012
Citation
Seigler, T. M., and Ghasemi, A. H. (January 13, 2012). "Specified Motion of Piezoelectrically Actuated Structures." ASME. J. Vib. Acoust. April 2012; 134(2): 021002. https://doi.org/10.1115/1.4005018
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