圆杆中弹性应力波的傅立叶弥散分析

DISPERSION ANALYSIS FOR ELASTIC WAVE IN THE CYLINDRICAL BAR BY FOURIER TRANSFORM

基于Ｐｏｃｈｈａｍｍｅｒ和Ｃｈｒｅｅ关于无限长圆杆中纵向谐波的三维弹性解析解，得到了关于圆杆中应力波弥散效应的快速傅立叶波谱分析方法和程序（ＦＦＴＤＳＰ），并利用二维轴对称动力学有限元分析程序（ＡＤＩＮＡ），论证了弥散分析方法和程序的有效性。利用这一弥散分析方法和程序（ＦＦＴＤＳＰ），研究了圆杆的物理和几何参数的变化对弹性波在圆杆中传播的弥散效应的影响。

Based on the PochhammerChrees theoretical solution about the stress wave propagation in an infinite cylindrical bar and combining the Fourier transform,a numerical approach for analyzing dispersion in the cylindrical bar is developed.The validity of the approach is checked by twodimensional axissymmetric finite element method.The program code (FFTDSP) about the numerical approach is given,and applied to study the influence of the physical parameters and geometric parameters of the bar over the dispersion for wave propagation in the cylindrical bar.