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An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations

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  • © 2020

Overview

  • Provides a multidisciplinary study on the use of variational mechanics
  • To the modeling of vortex-induced oscillations
  • Contributes to the theoretical studies of flow-oscillator models

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 260)

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Table of contents (8 chapters)

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About this book

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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Authors and Affiliations

  • FAA William J. Hughes Technical Center, Atlantic City International Airport, Atlantic City, USA

    Sohrob Mottaghi

  • Pratt & Whitney, East Hartford, USA

    Rene Gabbai

  • Mechanical and Aerospace Engineering, Rutgers University, Piscataway, USA

    Haym Benaroya

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