分层岩土介质振动响应的传递矩阵法求解  

Transfer Matrix Method for Solving Vibration Response of Layered Rock and Soil Media

作　　者：毕战歌 刘军 BI Zhange;LIU Jun(Institute of Engineering Safety and Disaster Prevention,College of Civil and Transportation Engineering,Hohai University,Nanjing 210098,China;Key Laboratory of Ministry of Education of Geomechanics and Embankment Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]河海大学土木与交通学院安全与防灾工程研究所,南京210098 [2]河海大学岩土力学与堤坝工程教育部重点实验室,南京210098

出　　处：《河南科学》2021年第2期256-265,共10页Henan Science

基　　金：国家自然科学基金资助(51874118,51174076,51044003);中央高校基本科研业务费专项资金资助(KYCX18-0567)。

摘　　要：针对地表任意方向点源脉冲荷载下分层岩土介质的振动响应问题进行了研究.首先建立了分层弹性半空间岩土介质模型,利用Laplace-Hankel联合积分变换和传递矩阵法求得了地表垂向振动位移在时域下的数值解析表达式.此外,进行了落锤冲击水泥公路试验,并用ANSYS/LS-DYNA进行数值模拟,将三种方法得到的地表垂向振动位移衰减曲线进行对比分析.结果表明,将传递矩阵法应用到分层岩土介质振动响应问题中能较好地反映任意方向脉冲激励下地面振动的衰减过程,具有数值化实施的可行性,可供相关工程计算方法参考.In this paper,the vibration response of layered rock and soil media under point source impulsive load in any direction was studied.Firstly,the layered elastic half space geotechnical model is established,and the numerical expression of the vertical vibration displacement of the ground surface in time domain was obtained by using Laplace-Hankel joint integral transformation and transfer matrix method.In addition,the drop hammer impact test of cement highway was carried out,and the numerical simulation was carried out by ANSYS/LS-DYNA.The vertical vibration displacement attenuation curves obtained by the three methods were compared and analyzed.The results show that the transfer matrix method can better reflect the attenuation process of ground vibration under impulse excitation in any direction,which is feasible for numerical implementation and can be used as a reference for related engineering calculation methods.

关 键 词：分层岩土介质 传递矩阵法 振动响应 脉冲荷载 

分 类 号：TU311.3[建筑科学—结构工程]