有限元离散模型中的出平面波动

采用分离变量技术,将二维出平面(Anti-Plane)波动问题的有限元运动方程化为两个联立的一维方程,获得了这一离散模型中波动的解析解,由此对有限元离散模型中出平面波动问题进行了深入的研究。分析了出平面弹性波的频散、截止频率、寄生振荡和有限元离散化引起的波传播的附加的各向异性性质等,同时讨论了时域离散化对出平面波动规律的影响。

ANTI-PLANE WAVE MOTION IN FINITE ELEMENT MODEL

In this paper, the equation of anti-plane wave motion in a two-dimensional finite element model is first separated into two one-dimensional simultaneous equations by-means of the separating variable method, analytical solutions of the above equations are ob-tained. According to the solutions, various aspects of the wave propagation in the discrete model is finally systematically studied: dispersion, cut-off frequency, parasitic oscillation and appendent anisotropic properties of wave propagation. In addition, effects of time discretization on anti-plane wave motion are studied.