群桩弯曲粘弹性动力分析的LAPLACE数值反演法

LAPLACE NUMERICAL INVERSION METHOD FOR BENDING VISCOELASTIC DYNAMIC ANALYSIS OF PILE GROUP

应用拉普拉斯数值反演法分析了群桩弯曲粘弹性动力反应。在拉普拉斯空间获得单桩和两桩体系弯曲粘弹性振动的正确解。根据桩间两两相互作用关系给出了群桩弯曲粘弹性动力分析的桩头柔度矩阵。最后应用拉普拉斯数值反演技术得到时间域的解。本文计算结果对群桩弯曲振动分析中所作的假设进行了验证并对群桩的弹性解和粘弹性解作了比较。

In this paper, the bending viscoelastic dynamic responses of pile groups are analysed by Laplace numerical inversion method. The exact solutions of bendiog viscoelastic vibrations of the single pile and two-pile systems are obtained in Laplace space. According to the interaction between every two piles, the pile-head flexible matrix of the bending viscoelastic dynamic analysis of pile groups is given. Finally, by applying Laplace numerical inversion technique the solutions in time domain can be obtained. The assumptions made in the bending vibration analysis of pile groups are examined and the elastic solutions and viscoelastic solutions of pile groups are compared by calculation results in this paper.