基于黏弹性边界的地震波斜入射方法研究

Study on obliquely incident seismic waves based on viscous-spring boundary

地震动输入的形式的选取是计算水工建筑物地震反应的重要问题。本文在前人工作的基础上,采用工程波动理论,总结推导出基于黏弹性边界的二维P波和VS波的等效荷载计算公式,进而施加在人工边界上,实现地震波的斜输入。通过斜输入算例表明,本文的黏弹性边界地震波斜输入方法很好反映P波和VS波的斜入射情况,具有较高的精度,能够有效应用于地震斜输入过程中结构与地基的相互作用的计算中。

Selection of proper seismic input is important for seismic response analysis of hydraulic structures. Analytical formulae are derived herein for calculation of equivalent loadings for 2-D plane P waves and plane sv waves via viscous-spring boundary on the basis of previous studies and the theories of wave motion. They can be applied to an artificial boundary and model the effects of obliquely incident seismic waves. The results of numerical examples show that this method has a high accuracy for P waves or Sv waves and can be useful for computation of structure-foundation interaction under obliauely incidences of waves.