AXISYMMETRICAL TIME-DOMAIN TRANSMITTING BOUNDARIES
AXISYMMETRICAL TIME-DOMAIN TRANSMITTING BOUNDARIES
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DOI：
10.1061/(asce)0733-9399(1994)120:1(25
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发表时间：
1994-01-01
期刊：
影响因子：
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通讯作者：
RANDOLPH, MF
中科院分区：
文献类型：
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作者：
DEEKS, AJ;RANDOLPH, MF
动力基础问题的有限元分析需要使用传输边界来模拟波从有限元网格到远场的辐射。涉及近场土的非弹性行为的问题最容易在时间域中解决。在这种情况下，标准粘性边界被广泛使用。然而，在轴对称的情况下，这种边界是不合适的。本文基于向外行波形式的近似，建立了轴对称剪切波和伸缩波的平面应变边界方程。这些边界方程等价于具有频率无关分量的力学系统。将新边界的复刚度与等效的粘性边界和平面应变边界的刚度进行了比较，发现新边界与平面应变边界非常接近。计算了扩张轴对称有限元网格在桩锤作用下的响应，并与截断不同传输边界的相同网格的响应进行了比较。
Finite element analysis of dynamic foundation problems requires the use of transmitting boundaries to model the radiation of waves from the finite element mesh into the far field. Problems involving inelastic behavior of the soil in the near field are most readily solved in the time domain. The standard viscous boundary is widely used in such situations. However, in axisymmetric situations this boundary is inappropriate. This paper develops plane strain boundary equations for axisymmetric shear and dilation waves based on an approximation of the form of the outward traveling waves. These boundary equations are shown to be equivalent to mechanical systems with frequency independent components. The complex stiffnesses of the new boundaries are compared with the equivalent viscous and plane strain boundary stiffnesses, and the new boundaries are found to agree closely with the plane strain boundaries. The response of an extended axisymmetric finite element mesh subjected to a transient force of the type generated by pile hammers is computed and compared to the responses of the same mesh truncated with various transmitting boundaries.