Subharmonic Bifurcations and Transition to Chaos in a Pipe Conveying Fluid under Harmonic Excitation
2013 ◽
Vol 444-445
◽
pp. 791-795
Keyword(s):
The subharmonic and chaotic behavior of a two end-fixed fluid conveying pipe whose base is subjected to a harmonic excitation are investigated. Melnikov method is applied for the system, and Melnikov criterions for subharmonic and homoclinic bifurcations are obtained analytically. The numerical simulations (including bifurcation diagrams, maximal Lyapunov exponents, phase portraits and Poincare map) confirm the analytical predictions and exhibit the complicated dynamical behaviors.
2012 ◽
Vol 26
(32)
◽
pp. 1250210
◽
2013 ◽
Vol 444-445
◽
pp. 796-800
2012 ◽
Vol 2012
◽
pp. 1-12
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2014 ◽
Vol 2014
◽
pp. 1-14
◽
2017 ◽
Vol 27
(08)
◽
pp. 1750125
◽
Keyword(s):
2013 ◽
Vol 2013
◽
pp. 1-8
◽
Keyword(s):