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Active control of flexural power flow in elastic thin beams
Active control of flexural power flow in infinite, semi-infinite and finite beams by point force
inputs has been analytically and experimentally studied. The systems were analyzed by assuming
wave solution and then applying various terminating boundary conditions. Optimal
control solutions were then obtained using a quadratic Wiener solution. The influence of
system parameters such as discontinuity impedance and effects such as near fields, number
and location of control actuators and error sensors is investigated and discussed. The
mechanisms by which control is achieved are considered. It is demonstrated that the
boundary conditions and the system configuration strongly influence the choice of optimal
controller format. The experimental work is compared with the theoretical developments and
found to be in good agreement. Control was achieved by a LMS Filtered-x algorithm implemented
in assembler language on a TMS32020 digital signal processing chip. In general it is
demonstrated that the flexural power flow in the beam types considered can be attenuated
with a low number of active actuators.