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This self-contained book provides an introduction to the
flow-oscillator modeling of vortex-induced bluff-body oscillations.
One of the great challenges in engineering science also happens to
be one of engineering design - the modeling, analysis and design of
vibrating structures driven by fluid motion. The literature on
fluid-structure interaction is vast, and it can be said to comprise
a large fraction of all papers published in the mechanical
sciences. This book focuses on the vortex-induced oscillations of
an immersed body, since, although the importance of the subject has
long been known, it is only during the past fifty years that there
have been concerted efforts to analytically model the general
behavior of the coupling between vortex shedding and structural
oscillations. At the same time, experimentalists have been
gathering data on such interactions in order to help define the
various regimes of behavior. This data is critical to our
understanding and to those who develop analytical models, as can be
seen in this book. The fundamental bases for the modeling developed
in this book are the variational principles of analytical dynamics,
in particular Hamilton's principle and Jourdain's principle,
considered great intellectual achievements on par with Newton's
laws of motion. Variational principles have been applied in
numerous disciplines, including dynamics, optics and quantum
mechanics. Here, we apply variational principles to the development
of a framework for the modeling of flow-oscillator models of
vortex-induced oscillations.
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