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本文首先将半无限弹性层状体系在空间上离散化,划分为若干个有限单元和无限单元的耦合,并推导了无限元的计算公式;进而又将动力问题在时间上加以离散,提出了逐步求解弹性系统运动方程的算法;最后利用编制的程序对半波正弦荷载作用下层状体系的动力响应进行了计算和分析.结果表明,文中所提出的方法计算精度高,稳定性好,运行速度快,是一种有效的计算弹性层状体系动力响应分析的实用方法.
In this paper, the semi-infinite elastic layered system is discretized in space and divided into a number of finite elements and infinite elements of the coupling, and derived the calculation formula of the infinite element; and then the dynamic problem in time to be discrete, put forward a gradual Finally, the dynamic response of the layered system under half sine wave sinusoidal load is calculated and analyzed using the programmed program. The results show that the proposed method has high accuracy, good stability and high speed It is an effective method to calculate the dynamic response of elastic layered system.