中文摘要：

采用谱单元法模拟弹性水平成层场地的一维稳态波动反应。在空间域采用谱单元离散，在时间域采用逐步微分求积法（DQ法），形成整体的空间域一时域计算格式，导出了计算表达式，并进行了数值实验。数值实验表明，采用谱单元法模拟弹性水平成层场地的一维稳态波动反应问题具有较高的计算精度。在控制精度的前提下，可以通过适当放宽空间以及时间网格的尺度来达到提高计算效率的目的。谱单元法提供了有限元方法以外的另一条解决问题途径，可望满足工程场地地震动模拟对于计算精度和计算效率的需求。

英文摘要：

One-dimensional steady-state wave motion in the horizontal layer site was numerically simulated using spectral element method （SEM）. The site was discreted in space domain by spectral elements, and the time-strepping procedure established on the basis of differential quadrature （DQ） rule was employed for the solution of dynamic equation. The corresponding formula were deduced. The results from numerical tests showed that the suggested procedure could gain higher aeeuraey for analysis of the wave propagation in the horizontal layer site. So the computational effects would be decreased by properly enlarging the element scales in space or time domain.