Interaction of high nonlinear solitary waves with Viscoelastic infinite plate

Abstract

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.