岩土力学2011，Vol.32Issue(2)：526-532,7.
分数导数模型描述的饱和土桩纵向振动分析
Analysis of vertical vibrations of a pile in saturated soil described by fractional derivative model
摘要
Abstract
As we know, the soil has viscoelastic characteristic, the control equations of saturated soil described by fractional derivative model are established based on the theories of porous media and theories of fractional derivatives, in which the soil is regarded as porous medium filled with water; and the stress-strain relationship is described by fractional derivative viscoelastic model for considering the viscoelastic properties of soil skeleton.The vertical coupled vibration of a pile in a saturated soil described by fractional derivative model is investigated by introducing the potential functions and separation of variables method under the three-dimensional axisymmetric condition; and the influences of the model parameters on the vertical vibration of a pile in saturated soil is analyzed.The results indicate that the control equations of the saturated soil described by fractional derivative model has a wider application; and the model parameters has great influences on the vertical vibration of a pile in saturated soil.关键词
分数导数/多孔介质/饱和土/纵向振动分类
建筑与水利引用本文复制引用
刘林超,杨骁..分数导数模型描述的饱和土桩纵向振动分析[J].岩土力学,2011,32(2):526-532,7.基金项目
国家自然基金项目(No.10872124) （No.10872124）
上海市重点学科建设项目(No.Y0103) （No.Y0103）
上海市自然科学基金(No.06ZR14037) （No.06ZR14037）
河南省教育厅自然科学研究计划项目(No.2011A1301001). （No.2011A1301001）
