静动力边界转换及其合理性验证方法的研究  

Research on the static-dynamic boundary switch and its rationality verification method

作　　者：马笙杰 迟明杰[1] 陈学良[1] 陈苏[2] 陈红娟[1] 邢浩洁 Ma Shengjie;Chi Mingjie;Chen Xueliang;Chen Su;Chen Hongjuan;Xing Haojie(Division of Strong-Motion Engineering Seismology,Institute of Geophysics,China Earthquake Administration,Beijing 100081,China;College of Architecture and Civil Engineering,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]中国地震局地球物理研究所强震动地震学研究室,北京100081 [2]北京工业大学城市建设学部,北京100124

出　　处：《地震学报》2024年第1期157-171,共15页Acta Seismologica Sinica

基　　金：国家重点研发计划资助项目(2019YFC1509403);国家自然科学基金重点项目(51639006)和国家自然科学基金资助项目(51878625)共同资助。

摘　　要：繁琐复杂的静动力边界转换处理是进行静动力耦合模拟的关键步骤,为了研究黏弹性边界条件下传统静动力边界转换的合理性及其验证方法的适用性,本文首先根据弹性叠加原理提出了一种验证静动力耦合模拟分析中静动力边界转换合理性的方法(参考解法);然后基于有限元软件ABAQUS,并结合自行研发的适用于成层介质的黏弹性边界施加和等效节点力计算程序VBEA2.0,对多土层自由场静动力耦合模型和土-地下结构静动力耦合模型进行了地震反应分析,对参考解法的适用性进行了探究;最后使用本文提出的参考解法,对一种典型的未进行合理静动力边界转换的自由场模型进行了分析,探讨了静动力边界转换产生振荡的原因和机理。研究结果表明:用于验证静动力边界转换合理性的参考解法,既适用于多土层自由场静动力耦合计算模型,又适用于土-结构相互作用的静动力耦合模型;静动力边界转换后产?生的振荡是静动力耦合计算模型静力不平衡所导致,一般是因为未合理施加边界反力或单元应力。In the dynamic analysis of underground structure subjected to seismic loading,dynamic boundary(e.g.,viscous-spring boundary condition,transient wave transmission boundary,etc.) is essential to be adopted to absorb the reflected wave.Generally,the dynamic boundary is not applicable to the static analysis in the simulation of seismic response of underground structure.Taking the viscous-spring boundary condition as an example,if this dynamic boundary condition is applied during the static analysis phase the subsequent dynamic response will be significantly affected,since this operation results in incorrect input of ground motion in the numerical model.To solve this problem,the traditional approach involves employing a fixed boundary during static analysis,which is then replaced by a dynamic boundary during dynamic analysis.Specifically,the dynamic calculation is performed using a viscous-spring boundary condition based on the results obtained in the static analysis with static boundary condition.The complex process of switching between static and dynamic boundary is a significant step in the static-dynamic coupling simulation.However,oscillations occur at the onset of dynamic response when switching from a static to a dynamic boundary,affecting dynamic response of acceleration,velocity,displacement,etc.To investigate the validity of the traditional scheme for switching static-dynamic boundary condition types(from static boundary to viscous-spring boundary) and the applicability of the verification method the following works were conducted:based on the superposition principle,a method for verifying the rationality of static-dynamic boundary switch is given(reference method).Using the finite element method software ABAQUS and the self-developed VBEA2.0 program,which can automatically set viscous-spring boundary and input seismic wave,the seismic response of layered free field and soil-underground structure models(Dakai metro station) considering integral static-dynamic analysis are analyzed.Based on these results,the

关 键 词：静动力耦合模拟 静动力边界条件转换 黏弹性边界 叠加原理 地震反应 

分 类 号：P315.9[天文地球—地震学] TU435[天文地球—固体地球物理学]