To study nonlinear wave propagation phenomena in pantographic sheets, we propose
a dynamic model that consists of an assembly of interconnected planar nonlinear
Euler–Bernoulli beams. The interconnections are either formulated as perfect
bilateral constraints or by one-dimensional generalized force laws. Accordingly, the
spatially discretized system is described by a differential algebraic system of
equations, which is solved with an appropriate numerical solution strategy.
We analyze various wave propagation phenomena by changing the kind of
excitation.
Keywords
microstructured continua, pantographic structures, wave
propagation, nonlinear beam finite elements
