有限元畸变单元离散模型中的SH波动

本文采用晶格动力学分析方法,研究了有限元畸变单元离散模型中的SH波的传播规律。结果表明单元畸变对波动规律影响显著,当单元畸变较小时,单元畸变对波动传播并不产生明显的不利影响,当单元畸变较大时,这一影响不可忽略。通过详细分析和对比集中质量、混合质量和一致质量模型中的波动规律,评价了不同有限元模型的抗畸变能力。文中还讨论了时域离散化与单元畸变联合作用对波动传播的影响。

SH WAVE MOTION IN DISTORTIONAL FINITE ELEMENT DISCRETE MODELS

Characteristics of SH wave propagation in finite element discrete models whose element shapes are distorted are studied by making use of the lattice dynamics analysis method in this paper. It is shown that the effects of the distortion of finite elements on wave motion are significant , great distortions of the element shapes will cause a complete distortion in the simulation of wave motion, the velocity of wave propagation in lumped-mass finite element discrete models is not always less than that in continuous models. The abilities of resisting distortion of different finite element models are evaluated by comparing the characteristics of wave motion in lumped-mass, hybrid-mass and consistent-mass models. The joint effects of time domain discretezation and the element shape distortion on wave propagation are also discussed.