Numerical analysis of nonlinear wave propagation in a pantographic sheet

18. Februar 2022

Mathematics and Mechanics of Complex Systems, Vol. 9(3), pp. 293-310, 2021.

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.


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