Dynamics of 1D nonlinear pantographic continua
Résumé
In this paper a mechanical system consisting of a chain of masses connected by nonlinear springs and a pantographic microstructure is studied. A homogenized form of the energy is justified through a standard passage from finite differences involving the characteristic length to partial derivatives. The corresponding continuous motion equation, which is a nonlinear fourth-order PDE, is investigated. Traveling wave solutions are imposed and quasi-soliton solutions are found and numerically compared with the motion of the system resulting from a generic perturbation.
Domaines
Génie mécanique [physics.class-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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