摘要
基于线性三维弹性理论,得到了正交各向异性管道中位移表示的周向波控制方程。波动方程中的轴向位移独立于其它两个方向。即波的传播可以分解为SH波和类Lamb波。通过贝塞尔函数求得了这个周向SH波频散方程。方程中决定周向SH波特性的弹性常数有两个,一个决定了波的频率,另一个决定了波速。最后分别讨论了两个弹性常数和波数变化对周向SH波位移模式的影响。
Based on linear three-dimensional elasticity theory, the displacements expressed circumferential wave controlling equation of orthotropic hollow cylinder is obtained. The axial displacement is independent of the other two directions. And the waves can be decomposed into SH wave and Lamb-like wave. Through the Bessel functions, the dispersion equation of circumferential SH wave is obtained. There are two elastic constant determining the SH wave characteristics, one controlling the wave frequency and the other controlling the wave velocity. Finally, The influences of the two constants and the wave number on the SH wave displacement mode shapes are discussed.
出处
《声学技术》
CSCD
2009年第3期208-211,共4页
Technical Acoustics
基金
国家自然科学基金项目(10802027)
