群桩垂向粘弹性动力分析的拉普拉斯数值反演法

应用担普拉斯数值反演方法分析了群桩垂向粘弹性动力反应。利用弹性和粘弹性间比拟关系及Novak平面应变假设,在拉普拉斯空间获得了单桩和两桩体系垂向粘弹性振动的正确解。根据两桩间两两相互作用关系提出了群桩垂向粘弹性动力分析的方法。最后应用拉普斯数值反演技术就可获得时间域的解。本文的计算结果对群桩分析中所作的假设进行了验证并对弹性解和粘弹性解进行了比较。

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

This paper presents the analysis of the vertical viscoelastic dynamic responses of pipe group by Laplace numerical inversion method. The use of the relationship of elastic-viscoelastic analogy and Novak's plane strain assumption facilitate the acquisition of exact solutions of vertical viscoelastic vibrations for both single pile and two-pile systems in Laplace space. According to the interaction between every two piles, a method of vertical viscoelastic dynamic analysis of pile group is proposed. Finally, using Laplace numerical inversion technique the solutions in time domain can be obtained. The assumptions made in analysing pile group are examined and the elastic and viscoelastic solutions are compared by calculation results in this paper.