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Flow Induced Vibration of Power and Process Plant Components: A Practical Workbook
By
M. K. Au-Yang, Ph.D., P.E.
M. K. Au-Yang, Ph.D., P.E.
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ISBN-10:
0791801667
No. of Pages:
494
Publisher:
ASME Press
Publication date:
2001
eBook Chapter
5 Vibration of Structures in Quiescent Fluids—II Simplified Methods
By
M. K. Au-Yang, Ph.D., P.E.
M. K. Au-Yang, Ph.D., P.E.
Search for other works by this author on:
Page Count:
26
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Published:2001
Citation
Au-Yang, MK. "Vibration of Structures in Quiescent Fluids—II Simplified Methods." Flow Induced Vibration of Power and Process Plant Components: A Practical Workbook. Ed. Au-Yang, MK. ASME Press, 2001.
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In the special case when only one of the cylinders is flexible, the “in-water” natural frequencies of the shell can be obtained from the “in-air” frequencies by simple rationing:
As shown in Chapter 4, one of the major tasks of calculating the hydrodynamic mass is the calculation of the hydrodynamic mass component h. In this chapter, simplified expressions for calculating h in special cases are given. Of these, the most commonly used in the industry is the “slender cylinder” approximation:
However, for application to large-shell structures commonly encountered in the power and process industries, Equation (5.2) often overestimates the hydrodynamic masses by as much as a factor of two or more. In addition, these equations give the hydrodynamic mass components in the form of surface densities. The effective hydrodynamic mass still has to be computed based on Equation (4.50). Failure to observe this has lead to inconsistencies in the hydrodynamic mass formulation of coupled fluid-shell problems.
Summary
Nomenclature
5.1 Introduction
5.2 One Cylinder Flexible
5.3 The Slender Cylinder Approximation
Example 5.1
5.4 Incompressible Fluid Approximation
5.5 Equation of Fritz and Kiss
Example 5.2
5.6 The Ripple Approximation
Example 5.3: PWR Beam-Mode Vibration
5.7 Single Cylinder Containing Fluid
5.8 Single Cylinder in Infinite Fluid
5.9 Consistency of the Hydrodynamics Mass Formulation
Single Infinite Cylinder Containing Liquid Undergoing Rectilinear Motion
Inertia Load due to Hydrodynamics Mass
The Enclosed Cavity Paradox
5.10 Hydrodynamic Masses for Other Geometries
Square Cylinders
Sloshing Problems
Hydrodynamic Mass for Tube Bundles
5.11 Hydrodynamic Damping
Example 5.4: Hydrodynamic Damping in Nuclear Reactor Internal Component
Example 5.5: Spent Nuclear Fuel Racks
References
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