期刊
JOURNAL OF FLUIDS AND STRUCTURES
卷 21, 期 5-7, 页码 629-664出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfluidstructs.2005.07.019
关键词
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We study the local bifurcation behavior of parametrically excited pipes conveying fluid near a 0: 1 resonance. A major goal of the analysis is to understand how energy may be transferred from the high-frequency mode to the low-frequency mode in these systems. We study the bifurcations of pipe systems, focusing on the subharmonic resonance case. We calculate the stability of the trivial solution, the bifurcating single-mode branches and their stability, and the existence of multi-mode or periodic solutions. Regions where energy transfer may occur from high- to low-frequency modes are identified. The numerical bifurcation analysis software AUT097 is used to support the analytical results. (c) 2005 Published by Elsevier Ltd.
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