基于Graf加法定律的竖向受荷双桩动力响应解析研究  

Dynamic response of two vertically loaded piles based on the Graf's addition theorem

作　　者：王敏 刘齐建[1,2] 刘欢 王剑波 WANG Min;LIU Qijian;LIU Huan;WANG Jianbo(College of Civil Engineering,Hunan University,Changsha 410082,China;Key Laboratory of Building Safety and Energy Efficiency of the Ministry of Education,Hunan University,Changsha 410082,China)

机构地区：[1]湖南大学土木工程学院,湖南长沙410082 [2]湖南大学建筑安全与节能教育部重点实验室,湖南长沙410082

出　　处：《铁道科学与工程学报》2020年第10期2532-2539,共8页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(51878265);湖南省自然科学基金资助项目(2018JJ2049)。

摘　　要：基于桩土耦合作用,建立竖向受荷嵌岩双桩动力响应的解析计算模型。通过分离变量法,求解桩周土的动力响应,将桩基础的动位移用不同的局部坐标系表示。考虑桩土相互作用,利用Graf加法定理实现不同桩体局部坐标系的转换,得到双桩位移场的解析解,并将其推广至群桩的竖向振动分析。在验证本文方法正确性基础上进行参数分析。研究结果表明:双桩间距增加,桩间相互作用系数减小。桩的长细比越大,双桩桩间相互作用系数越大。桩周土刚度越大,双桩桩间相互作用系数越大。群桩基础中,随着桩间距增大,桩间相互作用系数逐渐减小;角桩相互作用系数最小,中间桩最大。Based on the soil-pile interaction,an analytical method is proposed for dynamic response of vertically loaded end-bearing double piles.In terms of the separate variable method,the vibration of the surrounding soils was determined.Then,dynamic displacements of the respective piles were expressed in the light of different local coordinate systems.In order to obtain the expressions of the pile displacements in the same unified coordinate system,Graf addition theorem was adopted to transfer one kind of local coordinate system to the other.By considering the continuity along the soil-pile interface,the displacements of two piles were determined.The present solution was extended to the dynamic response of pile groups under the vertically loaded vibrations.The proposed method was verified by comparison of the present solution results with those by the available methods.Parametric study shows that with the increasing of the pile space distance,the interaction coefficient decreases.With the increasing of the pile slenderness ration and the stiffness of the surrounding soil,the interaction coefficient increases.For pile groups,the pile interaction coefficient decreases gradually with the increasing of the spacing ration of piles.The interaction coefficient of the pile on the corner is the minimum,while that of the pile at the center is the maximum.

关 键 词：双桩 Graf加法定理 桩土相互作用 动力响应 

分 类 号：TU473[建筑科学—结构工程]