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材料及结构参数对基桩非线性纵向振动的影响
引用本文:胡春林,彭华中,程昌钧.材料及结构参数对基桩非线性纵向振动的影响[J].武汉理工大学学报,2006,28(4):71-74.
作者姓名:胡春林  彭华中  程昌钧
作者单位:1. 武汉理工大学土木工程与建筑学院,武汉,430070;上海大学上海市应用数学与力学研究所,上海,200072
2. 武汉理工大学土木工程与建筑学院,武汉,430070
3. 上海大学上海市应用数学与力学研究所,上海,200072
摘    要:假设嵌岩桩桩身材料满足非线性弹性和线性粘弹性本构关系,桩周土为有阻尼非线性弹性土体,从而导出了分析基桩非线性纵向振动的偏微分方程;用Galerkin方法对方程进行简化,对简化后的系统进行了数值模拟计算,得到了一种典型参数情形时基桩运动的时程曲线、相平面图、功率谱图、Poincare截面图及分又混沌图,考察了各种材料及结构参数对基桩非线性纵向振动的影响。

关 键 词:非线性粘弹性桩  纵向振动  Galerkin方法  混沌运动形态
文章编号:1671-4431(2006)04-0071-04
修稿时间:2005年11月1日

Effects of Material and Construction Parameters on the Nonlinear Vertical Vibration of Piles
HU Chun-lin,PENG Hua-zhong,CHENG Chang-jun.Effects of Material and Construction Parameters on the Nonlinear Vertical Vibration of Piles[J].Journal of Wuhan University of Technology,2006,28(4):71-74.
Authors:HU Chun-lin  PENG Hua-zhong  CHENG Chang-jun
Abstract:Suppose that a pile embedded in rock obeys a constitutive relations of nonlinear elasticity and linear viscoelasticity,and the soil around the pile is nonlinear elastic and linear viscoelastic constitutive relation,too.The partial differential equation analyzing the nonlinear vertical vibration of the pile was first derived.The Galerkin method was used to simplify the equation.From the methods in nonlinear systems,the time-path curves,phase-trajectory diagrams,power spectrums,Poincare sections,bifurcation and chaos diagrams for the motion of piles were all obtained and the effects of parameters on nonlinear vertical vibration of piles were consider in detail.
Keywords:nonlinear viscoelastic pile  vertical vibration  Galerkin method  complicated motion shape
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