Hopf bifurcation and chaotic motions of a tubular cantilever subject to cross flow and loose support

Hopf bifurcation and chaotic motions of a tubular cantilever subject to cross flow and loose support
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横流和松散支撑下管状悬臂梁的 Hopf 分叉和混沌运动

DOI:
10.1007/s11071-009-9542-8
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发表时间:
2009
期刊:
影响因子:
5.6
通讯作者:
Wang, L.
Wang, L.
中科院分区:
工程技术2区
文献类型:
--
作者:
Ni, Q.;Wang, L.

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The Hopf bifurcation and chaotic motions of a tubular cantilever impacting on loose support is studied using an analytic model that involves delay differential equations. By using the damping-controlled mechanism, a single flexible cantilever in an otherwise rigid square array of cylinders is analyzed. The analytical model, after Galerkin discretization to five d.o.f., exhibits interesting dynamical behavior. Numerical solutions show that, with increasing flow beyond the critical, the amplitude of motion grows until impacting with the loose support placed at the tip end of the cylinder occurs; more complex motions then arise, leading to chaos and quasi-periodic motions for a sufficiently high flow velocity. The effect of location of the loose support on the global dynamics of the system is also investigated.
DOI: 10.1006/jfls.2002.0468
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