Two-link follower-force filament model

A two-link follower-force model replaces a filament by two rigid links with torsional springs and point drags. The nonsymmetric linearized stiffness can produce a Hopf bifurcation even without inertia.

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- Dimensionless follower load Two-link follower-force filament model

Dimensionless follower load ( $Σ = Γ ℓ / k$ )

The dimensionless follower load compares the moment scale

Γ ℓ

of a tangential tip force with a torsional spring constant

k

. In the equal-link two-degree-of-freedom model, straight motion loses stability through a Hopf bifurcation at

Σ = 3

.

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