SV波超临界角斜入射时层状地基地震动输入在ABAQUS中的实现  

REALIZATION OF GROUND MOTION INPUT IN ABAQUS FOR LAYERED FOUNDATION UNDER SV WAVE OF OBLIQUE INCIDENCE OVER CRITICAL ANGLE

作　　者：张季[1] 谭灿星 叶国涛 巴振宁[2] 梁建文[2] ZHANG Ji;TAN Can-xing;YE Guo-tao;BA Zhen-ning;LIANG Jian-wen(School of Civil Engineering and Architecture,East China Jiao-tong University,Nanchang,Jiangxi 330013,China;School of Civil Engineering,Tianjin University,Tianjin 300354,China)

机构地区：[1]华东交通大学土木建筑学院,江西南昌330013 [2]天津大学建筑工程学院,天津300354

出　　处：《工程力学》2021年第4期200-210,共11页Engineering Mechanics

基　　金：国家自然科学青年基金项目(52008170);国家自然科学基金面上项目(51778413);江西省自然科学基金项目(20171BAB216049)。

摘　　要：有限元数值模拟中,超临界角斜入射SV波作用下层状地基的地震动输入是一个亟待解决的问题。该文采用层状地基频域内精确的动力刚度矩阵(即频域刚度矩阵法)推导了SV波任意角度斜入射下的地震动输入等效节点力计算公式,通过ABAQUS有限元软件模拟SV波斜入射下均匀半空间、层状地基的地震波场,探讨了基于频域刚度矩阵法的层状地基任意角度斜入射地震动输入应用于ABAQUS有限元软件的有效性和准确性。结果表明,采用频域刚度矩阵法可以在ABAQUS中实现层状地基任意角度斜入射SV波地震动输入,且方法具有很高的计算精度,尤其对于SV波超临界角入射情况,有限元数值模拟很好地再现了均匀半空间地表质点的椭圆型运动轨迹和层状地基的行波特点。在此基础上进一步将频域刚度矩阵法与等效线性化方法相结合,解决了考虑土体非线性的层状地基在任意角度平面波入射条件下的地震动输入问题。In the finite element numerical simulation,it is an urgent challenge to determine the ground motion input for the layered foundation under SV wave of oblique incidence over critical angle.Exact dynamic stiffness matrix in the frequency domain(i.e.,frequency domain stiffness matrix method)of layered foundation is used to derive the formula for calculating the equivalent node force of ground motion input under arbitrary angular oblique incidence of SV wave,and the validity and accuracy of the ground motion input applied to ABAQUS numerical simulation are demonstrated by simulating seismic wave field of homogeneous half-space and layered foundation under oblique incidence of SV wave through ABAQUS software.It is shown that the inclined SV wave incidence with an arbitrary angle can be realized through ABAQUS simulation by means of stiffness matrix method,and the method is of high accuracy,especially in the case of SV wave incidence with an inclined angle greater than the critical one.The oval like motion trails of surface particles in uniform half space and the wave motion characteristics of layered half space are simulated commendably by finite element numerical modelling.On the above basis,the frequency domain stiffness matrix method is further combined with equivalent linearization method,which solves the ground motion input problem of two-dimensional layered half space considering soil nonlinearity for the inclined incidence with arbitrary angle.

关 键 词：频域刚度矩阵法 地震波斜入射 地震动输入 SV波临界角 等效线性化方法 

分 类 号：TU435[建筑科学—岩土工程]