Specified motion of piezoelectrically actuated structures

T. M. Seigler, A. H. Ghasemi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish
Article number021002
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Issue number2
StatePublished - 2012

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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