论文标题
粘弹性波的分散和虚假反射
Dispersion and spurious reflections of viscoelastic wave
论文作者
论文摘要
本文研究了粘弹性波方程数的数值整合中发生的粘弹性波的速度分散和伪造反射。为此，考虑了两个节点的经典有限元，并考虑了用于空间集成的一致且集团的质量模型，并且采用了两步版本的NEWMARK平均加速度方法，用于集成随着时间的推移。然后，使用复杂的符号以非限定项（波的数值解）分析差方程的结果系统。数值结果表明，即使对于精致的网格，色散和虚假反射也很重要。
This article investigates the velocity dispersion and the spurious reflection of the viscoelastic wave that occur in the numerical integration of the viscoelastic wave equation. For this purpose, the classic finite element of two nodes, with a consistent and lumped mass model for spatial integration is considered, and the Newmark average acceleration method of the two-step version for integration over time is adopted. The resulting system of the difference equation is then analytically integrated in non-finite terms (numerical solution of waves) using complex notation. The numerical results reveal that, even for a refined mesh, the dispersion and spurious reflections are significant.
