水利学报2012，Vol.43Issue(7)：796-802,7.
基于积分型分数导数本构方程的黏弹性土层中单桩的竖向复刚度与导纳研究
Study on vertical complex stiffness and admittance of single pile in soil based on constitutive equation with integral fractional derivatives
摘要
Abstract
Differential equations for the vertical vibration of single piles in viscoelastic soil were established based on the three dimensional and integral constitutive equations. The stress-strain relationship of soil was described by the three dimensional fractional derivatives for Kelvin viscoelastic constitutive relationship. The vertical vibration of fractional derivative viscoelastic soil was solved by potential functions and method of separation variables in frequency range by considering the properties of Fourier transform of fractional deriva- tive and convolution integral. The influence of constitutive model parameters on complex stiffness and admit- tance at pile head was investigated, the research indicated that the order of fractional derivative has great effect on the complex stiffness and admittance at pile head, and the influence of viscosity coefficient of soil on the real part of complex stiffness and admittance at pile head was greater, but the effect of viscosi- ty coefficient of soil on the image part of complex stiffness was relatively minor.关键词
本构方程/黏弹性/竖直振动/Fourier变换/复刚度Key words
constitutive equations/viscoelastic/vertical vibration/Fourier transform/complex stiffness分类
建筑与水利引用本文复制引用
刘林超,姚庆钊,闫启方,余萍..基于积分型分数导数本构方程的黏弹性土层中单桩的竖向复刚度与导纳研究[J].水利学报,2012,43(7):796-802,7.基金项目
基金项目：河南省科技发展计划项目 （）
河南省教育厅自然科学研究计划项目 （）
信阳师范学院青年骨干教师资助计划 （）
