Dynamics of 1D nonlinear pantographic continua
Dynamics of 1D nonlinear pantographic continua
复制标题
一维非线性缩放连续体动力学
DOI：
10.1007/s11071-016-3228-9
复制
发表时间：
2017
影响因子：
5.6
通讯作者：
F. dell’Isola
中科院分区：
文献类型：
--
作者：
I. Giorgio;A. Della Corte;F. dell’Isola
本文研究了由非线性弹簧连接的质量链和缩放微结构组成的力学系统。一个均匀化形式的能量是合理的，通过一个标准的通道，从有限差分涉及的特征长度偏导数。相应的连续运动方程，这是一个非线性四阶偏微分方程，进行了研究。行波解决方案的实施和准孤子解决方案的发现和数值比较，从一个通用的扰动系统的运动。
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.