期刊
JOURNAL OF FLUIDS AND STRUCTURES
卷 23, 期 4, 页码 589-603出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfluidstructs.2006.10.007
关键词
pipe conveying fluid; cantilevered; additional end-mass; nonlinear dynamics; 2-D, 3-D motions; flutter; chaos
In this part, the last in a three-part study, the three-dimensional (3-D) dynamics of a cantilevered pipe conveying fluid is explored when an additional point mass is attached at the free end. For a typical case, the dynamical behaviour of this system is presented in the form of a bifurcation diagram, along with the time traces, phase-plane plots, PSD plots and Poincare maps, showing planar periodic, quasiperiodic and chaotic oscillations, followed by 3-D quasiperiodic and chaotic motions. The effect on the results of the number of beam modes used in the Galerkin solution scheme is studied in some detail. The theoretical results are then compared with the results of a set of experiments done previously and good qualitative and quantitative agreement is observed. (C) 2006 Elsevier Ltd. All rights reserved.
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