考虑桩底土层波动效应的饱和黏弹性半空间中摩擦桩竖向振动  

Vertical vibration of floating piles in saturated viscoelastic half-space considering wave effect of subsoil under pile bottom

作　　者：崔春义[1,2] 张石平[1] 杨刚[1] 李晓飞[1] 

机构地区：[1]大连海事大学土木工程系,辽宁大连116026 [2]北京工业大学建筑工程学院,北京100022

出　　处：《岩土工程学报》2015年第5期878-892,共15页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(50809009);辽宁省教育厅一般项目(L2013305);中央高校基本科研业务费专项资金项目(3132014326;3132014072);北京市博士后基金项目A类(2014ZZ-49)

摘　　要：为深化对饱和黏弹性半空间地基中摩擦桩竖向振动特性的认识,基于Boer多孔介质动力控制方程组,考虑桩底土层波动效应,采用Hankel积分变换和微分算子分解理论求解相关方程得到桩底、桩侧反力,进而建立饱和土中桩基竖向振动偏微分方程,结合桩土接触面混合边值条件推导得出了饱和黏弹性半空间地基中摩擦桩桩顶竖向动力阻抗解析表达式。并在此基础上进一步通过数值算例对比分析探讨了液固耦合系数、桩长径比、桩土模量比、地基土黏滞阻尼系数这些重要因素对所得桩顶动力阻抗的影响规律,得到了一些对工程实践有意义的结论。Considering the waves effect of soil under pile bottom, an axisymmetrical analytical solution is presented to investigate the vertical vibration of a floating pile embedded in a saturated viscoelastic half-space. By employing the Hankel's integral transformation and the decomposition theory of differential operator and considering the mixed boundary condition of pile-soil interfaces to solve the Boer's dynamic governing equations for the soil, the dynamic impedance of the pile head is obtained. Furthermore, the effects of liquid-solid coupled coefficient, length-radius ratio of piles, modulus ratio of pile-soil and viscous damping coefficient of soil on the obtained impedance are discussed through parametric comparative analyses. Some significant conclusions are drawn. This study may provide technical reference and theoretical support for the related engineering practices to some extent.

关 键 词：摩擦桩 竖向振动 饱和黏弹性半空间 Boer多孔介质动力控制方程 Hankel积分变换 微分算子分解理论 

分 类 号：TU473.1[建筑科学—结构工程]