Abstract

The application of a piezoelectric film actuator to the active vibration control of beams is investigated for general boundary conditions and non-uniform film 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, free-free, 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 non-uniform spatial film distributions.

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