DISTRIBUTED PARAMETER CONTROL DESIGN FOR VIBRATING BEAMS USING GENERALIZED FUNCTIONS. Conference Paper

abstract

• The application of polyvinylidene fluoride (PVF//2) film to beams for the purpose of active vibration control is investigated for general boundary conditions and non-uniform spatial distributions. The film offers the possibility of formulating control laws without the necessity of modelling the beam in terms of its component vibrational modes. Lyapunov's direct method is used to derive the control laws. The analysis demonstrates that, while for most boundary configurations a spatially uniform control is appropriate, pinned-pinned, clamped-sliding, and clamped-clamped beams require non-uniform spatial distributions to be controllable. Candidate distributions are presented for these configurations. As a result of the investigation a set of guidelines is deduced for the design of nonuniform spatial film distributions.

authors

• Hubbard Jr, James

published proceedings

• IFAC Proceedings Series

author list (cited authors)

• Burke, S. E., & Hubbard, J. E.

complete list of authors

• Burke, SE||Hubbard, JE

publication date

• December 1987

published in

• IFAC Proceedings Series  Journal

International Standard Book Number (ISBN) 10

• 0080343295

start page

• 161

end page

• 166

issue

• 3