基于微分求积法分析粘弹性桩基的混沌效应  

Chaos effect analysis of viscoelastic pile based on differential quadrature method

作　　者：张继松[1] 琚宏昌[1] 

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《广西科技大学学报》2017年第1期53-58,共6页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51168006)资助

摘　　要：为了更好地研究预制基础桩的非线性动力特征及其它特性,考虑桩-土之间的摩擦影响,利用kelvin模型,建立在轴向荷载下粘弹性桩基的非线性振动动力学模型,通过力学模型分析得到结构的动力偏微分方程;运用微分求积法(DQM)将偏微分方程在空间域进行网格划分并离散化,进而导出粘弹性桩基的常微分动力方程;最后用matlab数值模拟得到不同桩基弹性模量下的相平面图、功率谱图、庞加莱截面图和时程曲线图.结果表明:在轴向荷载作用下粘弹性桩基会发生混沌运动,且桩基弹性模量越大桩基越容易发生混沌运动,同时更加直观形象地验证了混沌效应的基本特征.To study the nonlinear dynamic characteristics and other characteristics of prefabricated foundation piles better, considering the influence of friction between pile and soil and based on the Kelvin model, nonlinear vibration dynamic model of viscoelastic pile under axial load is established. The dynamic partial differential equation of structure is obtained by the analysis of the mechanical model, the partial differential equations are partitioned and discretized in space domain by differential quadrature method（DQM）, and the ordinary differential dynamic equations of viscoelastic foundation pile are derived. Finally, phase diagram, power spectrum, poincare section and time history curve are gained with numerical simulation of matlab. The results show that the chaotic motion can occur in the viscoelastic foundation pile under axial load; the bigger the elastic modulus of pile foundation, the more prone to chaotic motion; meanwhile, the basic features of chaotic effects are more intuitively and vividly verified.

关 键 词：粘弹性桩 KELVIN模型 微分求积法 混沌 

分 类 号：TU311.3[建筑科学—结构工程]