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Publication# Wave propagation in periodic buckled beams. Part I: Analytical models and numerical simulations

Abstract

Periodic buckled beams possess a geometrically nonlinear, load-deformation relationship and intrinsic length scales such that stable, nonlinear waves are possible. Modeling buckled beams as a chain of masses and nonlinear springs which account for transverse and coupling effects, homogenization of the discretized system leads to the Boussinesq equation. Since the sign of the dispersive and nonlinear terms depends on the level of buckling and support type (guided or pinned), compressive supersonic, rarefaction supersonic, compressive subsonic and rarefaction subsonic solitary waves are predicted, and their existence is validated using finite element simulations of the structure. Large dynamic deformations, which cannot be approximated with a polynomial of degree two, lead to strongly nonlinear equations for which closed-form solutions are proposed. (C) 2016 Elsevier B.V. All rights reserved.

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Alessandro Spadoni, Florian Paul Robert Maurin

Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has bee

Alessandro Spadoni, Florian Paul Robert Maurin

Nonlinear wave propagation in solids and material structures provides a physical basis to derive nonlinear canonical equations which govern disparate phenomena such as vortex filaments, plasma waves,