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Highly nonlinear solitary waves in chains of ellipsoidal particles

机译:椭圆形粒子链中的高度非线性孤波

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摘要

We study the dynamic response of a one-dimensional chain of ellipsoidal particles excited by a single compressive impulse. We detail the Hertzian contact theory describing the interaction between two ellipsoidal particles under compression, and use it to model the dynamic response of the system. We observe the formation of highly nonlinear solitary waves in the chain, and we also study their propagation properties. We measure experimentally the traveling pulse amplitude (force), the solitary wave speed, and the solitary wave width. We compare these results with theoretical predictions in the long wavelength approximation, and with numerical results obtained with a discrete particle model and with finite element simulations. We also study the propagation of highly nonlinear solitary waves in the chain with particles arranged in different configurations to show the effects of the particle's geometry on the wave propagation characteristics and dissipation. We find very good agreement between experiment, theory, and simulations for all the ranges of impact velocity and particle arrangements investigated.
机译:我们研究了由单个压缩脉冲激发的一维椭圆形颗粒链的动态响应。我们详细描述了两个压缩状态下椭圆形粒子之间相互作用的赫兹接触理论,并用它来对系统的动态响应进行建模。我们观察了链中高度非线性的孤立波的形成,并研究了它们的传播特性。我们通过实验测量行进脉冲幅度(力),孤立波速度和孤立波宽度。我们将这些结果与长波长近似中的理论预测以及离散粒子模型和有限元模拟获得的数值结果进行比较。我们还研究了高度非线性的孤立波在链中的传播,其中粒子以不同的配置排列,以显示粒子的几何形状对波传播特性和耗散的影响。我们在所有的撞击速度和所研究的粒子排列范围的实验,理论和模拟之间找到了很好的一致性。

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