Numerical Analysis of Nonlinear Wave Propagation in a Pantographic Sheet

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.