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Title: Periodic orbits of an impact oscillator
Author: Harkness, Tom
ISNI:       0000 0001 3531 9351
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 1999
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An harmonically excited, undamped linear oscillator with impacts is considered. The structure of the orbit space for single-excitation-cycle, singleimpact periodic orbits is investigated, first for elastic and then for inelastic impacts. It is proved that these orbits form a smooth, connected threedimensional manifold in the five-dimensional global parameter space. A study of the dynamic stability of these orbits then shows that the linearly stable region occupies an open submanifold. Numerically generated diagrams representing projections of the orbit spaces for a range of restitution coefficients are included. In addition, the impact surface — a representation in phase space of the impact obstacle — is explored and some new results on its variation with respect to the position of the obstacle are presented.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics Mathematics