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Weakly nonlinear dynamics of follower-force-induced oscillations in Cosserat rods

Warda, Mohamed
arXiv (OAI Expanded) · Papers
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fluid-dynamicsmathematical-physicssoft-condensed-matter
We investigate the weakly nonlinear dynamics of the flutter instability of a planar Cosserat rod in a viscous fluid driven by a terminal follower force. Building on our previous linear stability analysis, we derive Stuart-Landau amplitude equations governing the emergence and saturation of oscillati
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