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.

Automated summary

A dynamic model is proposed to study nonlinear wave propagation phenomena in pantographic sheets, utilizing interconnected planar nonlinear Euler-Bernoulli beams. Various wave propagation phenomena are analyzed by changing the type of excitation.