Dynamic response of two parallel circular cylinders in a liquid Page: 2 of 35
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The work reported herein was performed as part of the base technology
activity under the Flow Induced Vibration Programs (189a Nos. 02659 and
02683) sponsored by ERDA/RRD. The overall objective of the activity is
to develop new and/or improved analytical methods and guidelines for
designing LMFBR components to avoid detrimental flow induced vibration.
Heat exchanger tubes and reactor fuel pins are long, slender, beam-
like components typically arranged in bundles and immersed in a flowing
liquid. As such, they are susceptible to flow induced vibration. The
excitation mechanism may be associated with vortex-shedding, fluidelastic
interaction, or random pressure fluctuations in the turbulent flow.
Designing to avoid large amplitude motion, that is, to avoid a resonance
condition or instability condition, and the prediction of component
response, require knowledge of the dynamic behavior of the components.
However, cylinders in a closely spaced bundle do not respond as single
cylinders immersed in a liquid, rather, interaction with the liquid causes
coupled motion of groups of cylinders. The fundamental natural frequency
of the coupled system will be lower than that of a single cylinder immersed
in a liquid.
Understanding and modeling fluid/structure interaction in cylinder
bundles is a basic requirement in the development of analytical methods
and guidelines for designing heat exchanger and reactor fuel assemblies
that are free from component vibration problems. As a first step toward
satisfying this requirement, in this report, two parallel cylinders
vibrating in a liquid are studied analytically. A method of analysis is
presented for free and forced vibrations. Steady-state responses to flow
noises are included. The results illustrate the significance of the inter-
action of two structures in a liquid, and show that an analysis which does
not account for fluid coupling effect is, in general, not conservative.
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Chen, S.S. Dynamic response of two parallel circular cylinders in a liquid, report, May 1, 1975; Illinois. (digital.library.unt.edu/ark:/67531/metadc878882/m1/2/: accessed January 21, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.