Journal
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS
Volume 9, Issue 3, Pages 293-310Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/memocs.2021.9.293
Keywords
microstructured continua; pantographic structures; wave propagation; nonlinear beam finite elements
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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.
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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