垫层隔震基础动力阻抗薄层法求解及参数分析  

Thin-layer method for dynamic impedance of isolated foundation with cushions and its parameter analysis

作　　者：梁发云[1,2] 李通达 贾亚杰[1,2] 张浩[1] LIANG Fayun;LI Tongda;JIA Yajie;ZHANG Hao(Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China;Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学岩土及地下工程教育部重点实验室,上海200092 [2]同济大学地下建筑与工程系,上海200092

出　　处：《岩土工程学报》2023年第5期883-892,共10页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(51878487)。

摘　　要：基于半无限弹性地基模型,引入薄层法,推导出层状地基中垫层隔震基础的动力阻抗解答,与黏弹性边界有限元模型进行对比,验证了方法的合理性。针对垫层隔震基础的水平和摇摆动力阻抗,开展了系统的参数分析。模型的计算结果表明:在0~10Hz,垫层厚度、桩数对摇摆阻抗均有着明显的影响,垫层厚度越大,垫层隔震基础的摇摆阻抗越小;桩数越多,垫层隔震基础的摇摆阻抗越大。此外,相同条件下,桩长越大,垫层隔震基础摇摆阻抗实部越大;垫层剪切波速对基础的水平和摇摆阻抗都有着一定的影响。该方法可用于分析垫层隔震基础在地震荷载作用下的动力特性。Based on the semi-infinite elastic foundation model,the dynamic impedance solution of the isolated foundation with cushions in layered soils is deduced by introducing the thin-layer method.The proposed method is verified by the viscoelastic boundary finite element model.A systematic parameter analysis is carried out for the horizontal and rocking dynamic impedances of the isolated foundation with cushions.The calculated results by the model show that within the range of 0~10 Hz,the thickness of the cushions and the number of piles have obvious effects on the rocking impedances:the greater the thickness of the cushions,the smaller the rocking impedance of the isolated foundation with cushions;the more the piles,the greater the rocking impedance of the isolated foundation with cushions.In addition,under the same conditions,the greater the pile length,the greater the real part of the swing impedance of the cushion isolation foundation.The shear wave velocity of the cushion has a certain influence on the horizontal and rocking impedances of the foundation.The proposed method is suitable for analyzing the dynamic characteristics of the isolated foundation with cushions under earthquake loads.

关 键 词：动力刚度 阻抗函数 垫层隔震基础 层状地基 薄层法 

分 类 号：TU473[建筑科学—结构工程]