移动荷载作用下TI饱和半空间动力响应分析  

Dynamic Response Analysis of Transversely Isotropic Saturated Half-Space Under Moving Loads

作　　者：梁建文[1,2] 吴孟桃 巴振宁[1,2] LIANG Jianwen;WU Mengtao;BA Zhenning(Department of Civil Engineering,Tianjin University Tianjin,300350,China;Key Laboratory of Coast Civil Structure Safety of the Ministry of Education Tianjin,300350,China)

机构地区：[1]天津大学土木工程系,天津300350 [2]滨海土木工程结构与安全教育部重点实验室,天津300350

出　　处：《振动．测试与诊断》2020年第6期1112-1119,1231,1232,共10页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51778413,51578373);天津市研究生科研创新资助项目(2019YJSB176)。

摘　　要：列车运行产生的周围地基振动对列车运行安全以及周边环境振动有着重要的影响,其实质是移动荷载产生的应力波在地基中的传播问题。基于Biot流体饱和多孔介质模型,给出了移动荷载作用下横观各向同性(transversely isotropic,简称TI)饱和半空间动力响应的求解方法。首先,将Biot方程转换到频率-波数域中,通过坐标变换将方程解耦为平面内部分和出平面部分;其次,通过势函数方法求解平面内和平面外波动方程;最后,将移动荷载代入,其解可表示为对频率和单一波数的双重Fourier积分。与已有文献的结果进行了比较,验证了方法的正确性。开展了数值计算分析,讨论了荷载移动速度和TI介质参数等对半空间动力响应的影响,研究结论为列车荷载诱发复杂场地的振动控制技术提供了一定的理论依据。The vibration of the surrounding foundation caused by train operation has an important influence on the operational safety and ambient vibration,and its essence is the propagation problem of stress waves generated by moving loads in the foundation.Based on Boit′s theory of saturated poroelastic medium,the dynamic responses of a transversely isotropic(TI)saturated half-space under moving loads are studied.First,the Biot′s equations are transformed into the frequency-wavenumber domain,and then the transformed equations are decoupled to the in-plane part and out-of-plane part through coordinate transformation.Then,the in-plane and out-of-plane wave equations are solved individually by using the potential function method.Finally,substituting the moving loads,the fundamental solutions are expressed as the double Fourier integral with respect to angular frequency and single wavenumber.The correctness of theproposed method is verified by comparing its result with the published one.Numerical calculation and analysis are carried out to discuss the effects of load speed and TI parameters on the half-space dynamic responses.This work provides certain theoretical basis for the vibration control technology of complex site induced by train loads.

关 键 词：移动荷载 饱和多孔介质 横观各向同性 半空间 动力响应 

分 类 号：U211.3[交通运输工程—道路与铁道工程] TU435[建筑科学—岩土工程]