Flow-Induced Vibration

Abstract

BOOK REVIEWS exposition of the fundamentals of continuum mechanics, much of the book is concerned with classical theories and the mathematical techniques used in those theories. The longer chapters are on viscous flow, incompressible and compressible inviscid flow, and infinitesimal elasticity. In addition there are chapters on viscoelasticity, plasticity, finite elasticity, and Reiner-Rivlin fluids, but there is quite properly less emphasis on these subjects. The text is full of worked examples, which illustrate the use of a wide variety of mathematical techniques. There are many interesting problems at the end of each chapter, and a solution section in which these problems are worked out in detail. Because of this emphasis on problem-solving, the book gives a much more complete picture of the nature of continuum mechanics than those which cover the fundamentals alone. Flow-Induced Vibration.

Flow-induced vibration of elastically supported rectangular cylinders

“…In the lock-in region, the vortex-shedding frequency is constant and nearly equal to the natural frequency of the body, rather than a linear function of the wind velocity as suggested by the Strouhal relation. This phenomenon was first reported by Feng in 1968 (Blevins, 1994).…”

“…This led to the discovery by Rayleigh in 1915 that the across-flow vibrations of circular objects were caused by the periodic vortex shedding (Blevins, 1994).…”

“…Finally, von Karman established the stability of the staggered vortex street with his closed-form expression for the velocity potential (Blevins, 1994). Because of his work, the vortices shed from the trailing edge of bluff bodies are known as von Kârmân vortices.…”

“…The pressure increase causes the fluid to decelerate and forces the flow around the body as a boundary layer forms along the surface of the body (Blevins, 1994).…”

“…Despite the differences in local flow patterns; however, the vortex street that forms in the trailing wake organizes into a recognizable structure that is similar for most bluff bodies. In fact, within certain flow velocity ranges, the von Karman vortex street can be seen to be deterministic in character (Blevins, 1994).…”