Anderson, Christopher Stuart (2003) Improving the Structural Dynamics of Slender Beam-like Structures. PhD thesis, Victoria University.

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.

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