Vol. 9, No. 3, 2021

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Numerical analysis of nonlinear wave propagation in a pantographic sheet

Simon Raphael Eugster

Vol. 9 (2021), No. 3, 293–310

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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microstructured continua, pantographic structures, wave propagation, nonlinear beam finite elements
Mathematical Subject Classification
Primary: 74J30, 74K10
Received: 3 March 2021
Revised: 14 May 2021
Accepted: 7 July 2021
Published: 8 February 2022

Communicated by Francesco dell'Isola
Simon Raphael Eugster
Institute for Nonlinear Mechanics
University of Stuttgart