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Preprints, Working Papers, ... Year : 2016

Dynamics of 1D nonlinear pantographic continua


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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hal-01400478 , version 1 (22-11-2016)


  • HAL Id : hal-01400478 , version 1


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