论文标题
在双线性弹性基材上绷紧的电缆中的周期性行进波
Periodic traveling waves in a taut cable on a bilinear elastic substrate
论文作者
论文摘要
研究了在双线性底物上的绷紧电缆上的波传播问题，没有分布横向负载，并没有分布。该问题的分段性质提供了一种足够简单的非线性，以允许波相速度和波形形式的封闭形式解决方案。我们表明该溶液仅取决于两个土壤刚度之间的比率，并且如果底物的一侧是刚性的，则不会传播波。进行一些基于有限差异方法的数值模拟以确认分析结果。在分析和数值上讨论了提出的波的稳定性。
The wave propagation problem on a taut cable resting on a bilinear substrate is investigated, without and with a distribute transversal load. The piecewise nature of the problem offers a sufficiently simple kind of nonlinearity as to permit a closed form solution both for the wave phase velocity and the wave form. We show that the solution depends only on the ratio between the two soil stiffnesses, and that no waves propagate if one side of the substrate is rigid. Some numerical simulations, based on a finite difference method, are performed to confirm the analytical findings. The stability of the proposed waves is discussed analytically and numerically.
