摘要
研究了内充预压流体的弹性管中孤立波的传播。在长波近似条件下,流体流速和压力变化沿半径方向进行平均,流体运动是沿管轴方向的一维流动。管壁处于二维应力状态,在现时构形上建立了其非线性运动方程,管壁材料为不可压超弹性材料,其本构描述采用二维情况下Fung型的应变能函数。借助约化摄动法由管壁与流体耦合作用的非线性方程组导出了KdV方程,表征着系统有孤立波解。最后讨论了系统的参数对孤立波传播特征的影响。
In present work the propagation of solitary wave in a pressurized fluid-filled elastic tube is studied.In the long-wave approximation,fluid velocity and pressure variation are averaged in radial direction,and fluid motion is one-dimensional flow along tube axis.Tube wall is at two-dimensional plane stress state and its nonlinear equation of motion is established in the current configuration.Tube wall is made of incompressible hyperelastic material,whose constitutive relation is described by Fung-type strain energy function in two-dimension. With the use of reductive perturbation method the KdV equation is derived from nonlinear motion equations. It is shown that the system admits a solitary wave solution. Finally the effects of system parameters on the propagation characteristics of solitary wave are discussed.
出处
《太原理工大学学报》
CAS
北大核心
2009年第5期453-457,共5页
Journal of Taiyuan University of Technology
基金
国家自然科学基金资助项目(10772129)
关键词
理想流体
超弹性圆管
约化摄动法
孤立波解
inviscid fluid
hyperelastic circular tube
reductive perturbation method
solitary wave solutions
