  The properties of a semiflexible polymer with fixed ends exposed to
oscillatory shear flow are investigated by simulations. The two-dimensionally
confined polymer is modeled as a linear bead-spring chain, and the interaction
with the fluid is described by the Brownian multiparticle collision dynamics
approach. For small shear rates, the tethering of the ends leads to a
more-or-less linear oscillatory response. However, at high shear rates, we
found a strongly nonlinear reaction, with a polymer (partially) wrapped around
the fixation points. This leads to an overall shrinkage of the polymer.
Dynamically, the location probability of the polymer center-of-mass position is
largest on a spatial curve resembling a lima\c{c}on, although with an
inhomogeneous distribution. We found shear-induced modifications of the
normal-mode correlation functions, with a frequency doubling at high shear
rates. Interestingly, an even-odd asymmetry for the Cartesian components of the
correlation functions appears, with rather similar spectra for odd $x$- and
even $y$-modes and vice versa. Overall, our simulations yielded an intriguing
nonlinear behavior of tethered semiflexible polymers under oscillatory shear
flow.
