高非线性孤立波与粘弹性无限板的相互作用

Jie Zhao, Y. Wang, Shan-shan Dong, Miao Ruan, Hao Wu
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引用次数: 0

摘要

本文通过理论和数值计算研究了一维颗粒链和粘弹性无限板中高非线性孤立波的相互作用。采用龙格-库塔法求解完全耦合微分方程组,得到了粒子链中各粒子的速度和位移的数值解。通过比较反射波与入射波的时差和能量比,发现在一定范围内孤立波对粘弹性无限板的厚度和粘滞系数很敏感。研究结果为基于非线性孤立波的无损检测技术提供了理论依据。
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Interaction of high nonlinear solitary waves with Viscoelastic infinite plate
Theoretical and numerical calculationsare performed to study the interaction of high nonlinear solitary waves(HNSWs) in one-dimensional particle chains and viscoelastic infinite plate. We use theRunge-kutta method to solve thecompletely coupled differential equation systemand obtain the numerical solutions of velocity and displacement of each particle in the particle chains. By comparing the time difference and energy ratio of reflected wave and incident wave, it is found that solitary waves is sensitive to the thickness and viscosity coefficient of viscoelastic infinite plate in a certain range.The results provide theoretical basis for non-destructive testing(NDT) technology based on nonlinear solitary waves.
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