Dynamics of 1D nonlinear pantographic continua

作者：Giorgio Ivan^*; Della Corte Alessandro; dell'Isola Francesco

来源：Nonlinear Dynamics, 2017, 88(1): 21-31.

DOI：10.1007/s11071-016-3228-9

• Discrete mechanical systems
• Nonlocal continua
• Nonlinear springs
• Traveling waves
• Quasi-soliton solutions

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.

• 出版日期2017-4