Mechanics in Engineering ›› 2004, Vol. 26 ›› Issue (2): 0-0.doi: 10.6052/1000-0992-2003-040
• Education Study •
The chaotic vibrations of a clamped-clamped pipe conveying
fluid, excited by the harmonic motions of its supporting base, were
investigated theoretically. The nonlinear equations of motion were derived,
and the equilibrium and stabilities of the system were analyzed. The
expressions of homoclinic orbits of the unperturbed system were calculated.
The system parameters for the occurrence of chaotic motions
were obtained by means of Melnikov method. Phase portrait and Poinc\'are
map were used to simulate the chaotic motions of the original system.
Comparison between the results from theoretical analyses and numerical
simulations reveals that the critical value of the parameter determined by
Melnikov method is slightly lower than that corresponding to the chaotic
motion observed first in numerical simulations.
Melnikov method, pipe conveying fluid, chaotic motion,
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