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Dynamics of 1D nonlinear pantographic continua

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01400478
Contributor : Ivan Giorgio Connect in order to contact the contributor
Submitted on : Tuesday, November 22, 2016 - 8:24:52 AM
Last modification on : Monday, October 19, 2020 - 8:26:03 PM
Long-term archiving on: : Monday, March 20, 2017 - 6:23:32 PM

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  • HAL Id : hal-01400478, version 1
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Ivan Giorgio, Alessandro Della Corte, Francesco Dell 'Isola. Dynamics of 1D nonlinear pantographic continua. 2016. ⟨hal-01400478⟩

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