摘要
考虑土颗粒间库仑摩擦消耗的能量,采用弱非弹性介质模型研究饱和土中球形空腔的动力响应.基于Yamamoto模型,建立了具有球空腔饱和土体稳态振动的控制方程;通过引入势函数,分别得到了边界透水和不透水条件下饱和土体的位移、应力和孔隙水压力等解析表达式;利用界面连续性条件,确定了待定系数的具体表达式.以饱和砂土和粉土为例,分析了Biot两相饱和介质和Yamamoto两种土模型下饱和土中球形空腔动力响应的差异.在此基础上,分析了界面处具有球形空腔饱和砂土和粉土的径向位移、孔隙水压力和环向应力幅值随外荷载激振频率、空腔半径的影响.结果表明:在共振频率处,Yamamoto土模型下饱和土体的动力响应小于Biot土模型下饱和土体的动力响应;能量损失比对饱和土中球形空腔的动力响应有显著的影响.
Consider energy consumption of Coulomb friction among soil particles, the dynamic response of spherical cavity in saturated soil is investigated by the weak non-elastic medium model. Based on Yamamoto model, the governing equations of the steady state vibration of the saturated soil with a spherical cavity are established; With the help of potential functions, the analytical expressions of displacement, stress and pore water pressure of the saturated soil are respectively obtained for permeable and impermeable conditions at the boundary. By utilizing the continuity conditions, the specific expressions of undetermined coefficients are determined. By taking the saturated sands and silt soil for example, the differences of the dynamic response of spherical cavity in saturated soil between Biot and Yamamoto model are analyzed. On this basis, the influences of the amplitudes of radial displacement, pore water pressure and hoop stress of saturated sands and silt soils with a spherical cavity against the frequency and radius at the interface are analyzed. It is shown that the dynamic response of saturated soil for the Yamamoto model is less than one for Blot model at the resonance frequency. The influence of energy loss ratio on the dynamic response of spherical cavity in saturated soil is much greater.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2014年第5期614-619,共6页
Journal of Henan University:Natural Science
基金
河南省软科学研究计划项目(122400450336)
河南省基础与前沿研究项目(122300410310)
信阳师范学院青年基金项目(2012-23)
关键词
饱和土
弱非弹性介质模型
球空腔
库仑摩擦
动力响应
saturated soil, weak non-elastic medium model
spherical cavity
Coulomb friction
dynamic response
作者简介
余萍（1975-），女，河南信阳人，讲师，硕士，研究方向：结构力学．E-mail：yupingl@163．com．
