  We present a detailed study of a clamped ribbon-like filament under a
compressive active force using Brownian dynamics simulations. We show that a
clamped ribbon-like filament is able to capture beating as well as a rotational
motion under the compressive force. The nature of oscillation is governed by
the torsional rigidity of the filament. The frequency of oscillation is almost
independent of the torsional rigidity. The beating of the filament gives
butterfly shape trajectory of the free-end monomer, whereas rotational motion
yields a circular trajectory on a plane. The binormal correlation and the
principal component analysis reveal the butterfly, elliptical, and circular
trajectories of the free end monomer. We present a phase diagram for different
kinds of motion in the parameter regime of compressive force and torsional
rigidity.
