Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations |
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Authors: | J She C D Bertram |
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Institution: | (1) Graduate School of Biomedical Engineering, University of New South Wales, 2052 Sydney, Australia |
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Abstract: | Collapsible-tube flow with self-excited oscillations has been extensively investigated. Though physiologically relevant, forced
oscillation coupled with self-excited oscillation has received little attention in this context. Based on an ODE model of
collapsible-tube flow, the present study applies modern dynamics methods to investigate numerically the responses of forced
oscillation to a limit-cycle oscillation which has topological characteristics discovered in previous unforced experiments.
A devil's staircase and period-doubling cascades are presented with forcing frequency and amplitude as control parameters.
In both cases, details are provided in a bifurcation diagram. Poincaré sections, a frequency spectrum and the largest Lyapunov
exponents verify the existence of chaos in some circumstances. The thin fractal structure found in the strange attractors
is believed to be a result of high damping and low stiffness in such systems. |
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Keywords: | |
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