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
Abstract

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
Mathematical Subject Classification
Primary: 74J30, 74K10
Milestones
Received: 3 March 2021
Revised: 14 May 2021
Accepted: 7 July 2021
Published: 8 February 2022

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