  In the present paper we consider a 2D pantographic structure composed by two
orthogonal families of Euler beams. Pantographic rectangular 'long' waveguides
are considered in which imposed boundary displacements can induce the onset of
traveling (possibly non-linear) waves. We performed numerical simulations
concerning a set of dynamically interesting cases. The system undergoes large
rotations which may involve geometrical non-linearities, possibly opening the
path to appealing phenomena such as propagation of solitary waves. Boundary
conditions dramatically influence the transmission of the considered waves at
discontinuity surfaces. The theoretical study of this kind of objects looks
critical, as the concept of pantographic 2D sheets seems to have promising
possible applications in a number of fields, e.g. acoustic filters, vascular
prostheses and aeronautic/aerospace panels.
