  The problem of partially hinged and partially free rectangular plate that
aims to represent a suspension bridge subject to some external forces (for
example the wind) is considered in order to model and simulate the unstable end
behavior.
  Such a problem can be modeled by a plate evolution equation, which is
nonlinear with a nonlocal stretching effect in the spanwise direction.
  The external forces are periodic in time and cause the vortex shedding on the
structure (on the surface of the plate) and thus it may cause damage to the
material.
  Numerical study of the behavior of steady state solutions for different
values of the force velocity are provided with two finite element methods of
different type.
