黏弹性地基中埋置刚性圆柱状基础水平振动问题  

Horizontal vibration of an embedded rigid cylindrical foundation in viscoelastic soil

作　　者：郑长杰 何育泽 甘世顺 栾鲁宝 Zheng Changjie;He Yuze;Gan Shishun;Luan Lubao(Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering,Fujian University of Technology,Fuzhou 350118,China;School of Civil Engineering,Fujian University of Technology,Fuzhou 350118,China;Power China Huadong Engineering Co.,Ltd.,Hangzhou 311122,China;Ocean University of China,Qingdao 266100,China)

机构地区：[1]福建理工大学福建省土木工程新技术与信息化重点实验室,福建福州350118 [2]福建理工大学土木工程学院,福建福州350118 [3]中国电建集团华东勘测设计研究院有限公司,浙江杭州311122 [4]中国海洋大学,山东青岛266100

出　　处：《土木工程学报》2023年第11期155-164,共10页China Civil Engineering Journal

基　　金：国家自然科学基金(52178318);福建省自然科学基金(2021J011056);中国科协青年人才托举工程项目(2021QNRC001)。

摘　　要：考虑埋置基础侧面土体作用,对黏弹性半空间中埋置刚性圆柱状基础在水平简谐荷载作用下的动力响应特性进行了理论研究。基于弹性动力学理论,建立黏弹性土和基础的动力控制方程,并结合混合边值条件,使用Hankel积分变换得到基础水平动力放大系数和动力刚度表达式。将所得理论解与已知经典解对比以验证其正确性,并通过数值计算分析刚性基础和地基土的主要参数对动力放大系数和动力刚度的影响。分析结果表明:基础埋深比及侧面土体相对刚度可显著影响基础水平动力刚度和动力放大系数,且基础侧面土体作用对基础动力刚度的贡献占比随之增大而愈加突出。地基土体阻尼比和泊松比对基础刚度系数的影响较大,阻尼比对其影响随激振频率增大更趋明显,泊松比对其影响在低频和高频范围内得到相反的规律。Considering the dynamic interaction between the side of embedded foundation and the subsoil,the horizontal vibration characteristics of a rigid cylindrical foundation embedded in viscoelastic half space are theoretically investigated.Based on the elastodynamic theory,the governing equations of the viscoelastic soil and foundation are established,then the analytical solution for the horizontal dynamic response factor and dynamic impedance of the rigid foundation are obtained by employing Hankel integral transformations and considering the mixed boundary value conditions.The proposed solution is compared with the existing solutions to verify its rationality,then a parametric study is presented to investigate the influence of relevant parameters on the horizontal dynamic response factor and dynamic impedance.The numerical results show that:the horizontal dynamic response factor and impedance are obviously affected by the embedment ratio of the foundation and relative stiffness of the soil,while the contribution ratio of the side soil impedance to the total dynamic impedance becomes more prominent.The damping ratio and Poisson's ratio of soil have significant effects on the stiffness coefficient of foundation.The influence of damping ratio increases with the dimensionless frequency of the excitation,while the influence of Poisson's ratio decreases in the low and high frequency range.

关 键 词：刚性基础 水平荷载 动力放大系数 黏弹性半空间 

分 类 号：TU470[建筑科学—结构工程]