Abstract | This project explores a novel technique for the vibration control of slender
beam-like flexible structures. For this purpose, a new method is developed
based on minor structural modifications. Three applications are chosen to
demonstrate the new method. The first is the sensing wire oscillations of a
hot-wire probe. The second application is the problem of tool chatter due to
milling tool vibration, while the third application is the bending of an arrow as it
is released from a bow. Although these applications sound quite different,
they are in fact similar problems dynamically. They are related to the forced
transverse structural vibrations of slender beams. For all applications, the
external force input is of a broadband nature in frequency, similar to a white
noise excitation. This force excites the slender beams into large amplitude
resonance which in the case of a hot-wire probe, causes measurement
inaccuracies, for milling, causes rough surface finish and slower machining
times, whereas for archery causes reduced accuracy. The choice of the
particular problems to demonstrate the effectiveness of the technique is due
to the current research interests and available expertise in this area in the
School of the Built Environment at Victoria University. However, the methods
developed through the course of this research are general methods applicable
to all other slender beam-like structures with step changes in cross sectional
geometry, such as flexible robotic arms or power transmission cables. |