饱和黏土地基中桩基水平振动的时域半解析法研究  

Time domain semi-analytical method for horizontal vibration of pile foundation in saturated clay foundation

作　　者：刘君 王立安 郭锋 LIU Jun;WANG Li’an;GUO Feng(College of Civil Engineering,Lanzhou Technical College,Lanzhou 730050,China;College of Railway Technology,Lanzhou Jiaotong University,Lanzhou 730070,China;Housing and Urban Rural Development Bureau of Gaolan County,Gansu Province,Gaolan 730200,China)

机构地区：[1]兰州工业学院土木工程学院,兰州730070 [2]兰州交通大学铁道技术学院,兰州730070 [3]甘肃省皋兰县住房和城乡建设局,甘肃皋兰730200

出　　处：《振动与冲击》2024年第13期90-97,共8页Journal of Vibration and Shock

基　　金：甘肃省科技计划资助项目(22JR5RA383,22JR11RA155)。

摘　　要：在Biot多孔介质理论框架下,利用分数阶Kelvin模型描述土骨架流变效应,构建饱和黏土与桩基耦合振动模型,采用Laplace变换推导控制方程的变换域解析解,再通过数值反演得出时域解。通过算例分析,研究水平振动荷载作用下桩基的位移和内力响应及参数影响。结果表明,饱和黏土地基中桩基振动的位移和内力响应都具有延迟效应,地基土的流变性越强延迟效应越明显,而且荷载频率越低,流变性对延迟效应的影响越显著;土体流变性越强,桩基振动的位移幅值越小,且荷载频率越高,位移幅值的减小幅度越大;桩身正弯矩随土体流变性增强而减小,而负弯矩随之增大;桩身正向和负向剪力均随土体流变性增强而增大,但桩顶剪力不受土体流变性影响。Here,under the framework of Biot porous media theory,the fractional order Kelvin model was used to describe rheological effect of soil skeleton,and the saturated clay-pile foundation coupled vibration model was constructed.Laplace transform was used to derive the analytical solution to the control equation in transformation domain,and then the time-domain solution was obtained with numerical inversion.By analyzing numerical examples,displacement and internal force responses as well as parameters’effects of pile foundation under horizontal vibration load were studied.The results showed that displacement and internal force responses of pile foundation vibration in saturated clay foundation have a delay effect;the stronger the rheology of foundation soil,the more obvious the delay effect,and the lower the load frequency,the more significant the affecting of rheology on delay effect;the stronger the rheology of soil body,the smaller the displacement amplitude of pile foundation vibration,and the higher the load frequency,the larger the decrease in displacement amplitude;positive bending moment of pile body decreases with increase in soil body rheology,while negative bending moment increases accordingly;positive and negative shear forces of pile body increase with increase in soil body rheology,but shear force at pile top is not affected by soil body rheology.

关 键 词：饱和黏土 桩基 水平振动 流变效应 LAPLACE变换 

分 类 号：TU470[建筑科学—结构工程]