Nonlinear traveling waves in a compressible Mooney-Rivlin rod I. Long finite-amplitude waves
Nonlinear traveling waves in a compressible Mooney-Rivlin rod I. Long finite-amplitude waves
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DOI：
10.1007/bf02489382
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发表时间：
2004-08
影响因子：
3.5
通讯作者：
Dai Huihui;L. Zengrong
中科院分区：
文献类型：
--
作者：
Dai Huihui;L. Zengrong
在文献中，弹性圆杆中的非线性行波仅基于单偏微分方程（pde）模型进行研究，这里我们使用更精确的耦合pde模型来考虑这样的问题。我们从长有限幅波近似的模型方程中推导了哈密顿量，分析了系统奇异点的数量随参数的变化，并定性地研究了这些奇异点的特征。还讨论了各种物理上可接受的非线性行波，并给出了相应的例子。特别是，我们发现某些单方程模型无法计算的波可能会出现。
In literature, nonlinear traveling waves in elastic circular rods have only been studied based on single partial differential equation (pde) models, and here we consider such a problem by using a more accurate coupled-pde model. We derive the Hamiltonian from the model equations for the long finite-amplitude wave approximation, analyze how the number of singular points of the system changes with the parameters, and study the features of these singular points qualitatively. Various physically acceptable nonlinear traveling waves are also discussed, and corresponding examples are given. In particular, we find that certain waves, which cannot be counted by the single-equation model, can arise.