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学者姓名：赵密
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Abstract ：
Response spectrum method (RSM) has been applied in seismic analysis of underground structures. However, the RSM is computationally low efficient for processing large soil domains. In this paper, the dynamic characteristics of underground structures are first investigated through three rectangular subway station structures. The results show that only a small number of effective frequencies and modes of soil-structure interaction (SSI) system significantly affect the seismic response of underground structure. These effective frequencies and modes are related to the natural vibration characteristics of site. An effective method is then developed to obtain the effective natural frequencies and modes of the SSI system. Subsequently, the effective modal superposition response spectrum method (ERSM) for seismic analysis of underground structure is developed by only combining the effective natural frequencies and modes of the SSI system to improve efficiency. Finally, the accuracy of ERSM is investigated through seismic response analysis of subway station structures. Numerical examples show that the ERSM can be used for seismic analysis of underground structures considering 3D SSI.
Keyword ：
Underground structure Underground structure Dynamic characteristics Dynamic characteristics Response spectrum method Response spectrum method Effective frequencies and modes Effective frequencies and modes
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| GB/T 7714 | Gao, Zhidong , Zhao, Mi , Du, Xiuli et al. Effective-mode superposition response spectrum method for three dimensional seismic response analysis of underground structures [J]. | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING , 2023 , 174 . |
| MLA | Gao, Zhidong et al. "Effective-mode superposition response spectrum method for three dimensional seismic response analysis of underground structures" . | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING 174 (2023) . |
| APA | Gao, Zhidong , Zhao, Mi , Du, Xiuli , Wang, Jinting . Effective-mode superposition response spectrum method for three dimensional seismic response analysis of underground structures . | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING , 2023 , 174 . |
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Abstract ：
基于高轴压比下中柱侧向变形能力不足导致含内柱框架式地铁车站结构地震破坏的机理认识，部分研究者在保证中柱竖向承载力不变的前提下，提出了分体柱、叠层夹芯柱、截断柱等几种新型功能柱以提高中柱侧向变形能力，进而提高车站结构抗震性能。当前对新型功能柱在地震作用下的力学行为已开展了大量研究，但对不同柱体形式对车站结构整体抗震性能提升效果并未开展系统评价，且缺乏直接对比研究。首先，针对某单层双跨地铁车站结构建立整体三维非线性数值分析模型，开展不同地震波及不同地震强度下传统方柱、分体柱、叠层夹芯柱、截断柱等4种中柱形式下的地震响应计算，从车站层间变形、整体损伤及关键构件内力响应等方面对新型功能柱的减震效果进行对比评价。研究结果表明：在降低车站结构混凝土损伤方面，截断柱效果最佳，叠层夹芯柱次之，分体柱最弱；3种新型功能柱在提高结构中柱延性方面，叠层夹芯柱效果最佳，截断柱次之，分体柱最弱；在降低结构中柱内力响应方面，叠层夹芯柱最佳，分体柱次之，截断柱最弱。相关研究结果可为含内柱框架式地铁车站结构减震设计提供理论指导。
Keyword ：
抗震性能 抗震性能 地震响应 地震响应 数值分析 数值分析 新型功能柱 新型功能柱 地铁车站结构 地铁车站结构
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| GB/T 7714 | 杜修力 , 潘颖超 , 赵密 et al. 采用不同新型功能柱的地下车站结构抗震性能对比研究 [J]. | 工程抗震与加固改造 , 2023 , 45 (03) : 91-101 . |
| MLA | 杜修力 et al. "采用不同新型功能柱的地下车站结构抗震性能对比研究" . | 工程抗震与加固改造 45 . 03 (2023) : 91-101 . |
| APA | 杜修力 , 潘颖超 , 赵密 , 黄景琦 . 采用不同新型功能柱的地下车站结构抗震性能对比研究 . | 工程抗震与加固改造 , 2023 , 45 (03) , 91-101 . |
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Abstract ：
为研究浅基岩场地条件下地下结构抗震分析简化方法计算精度，采用反应加速度法和反应谱法计算2层3跨和2层2跨矩形地铁车站结构在均质场地和浅基岩场地条件下的地震响应，将动力时程分析法结果作为参考解，对比分析反应加速度法和反应谱法在不同场地条件下的计算精度。研究结果表明，在均质场地条件下，反应加速度法最大误差约18%，反应谱法最大误差约9%；在浅基岩场地条件下，反应加速度法最大误差约33%，反应谱法最大误差约16%；反应谱法和反应加速度法在浅基岩场地条件下的计算精度均小于均质场地条件，且反应谱法计算精度受场地条件的影响较小。
Keyword ：
反应加速度法 反应加速度法 反应谱法 反应谱法 浅基岩场地 浅基岩场地 地下结构 地下结构 抗震简化分析方法 抗震简化分析方法
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| GB/T 7714 | 赵密 , 李铭博 , 高志懂 et al. 浅基岩场地条件下地下结构抗震分析简化方法计算精度研究 [J]. | 震灾防御技术 , 2023 , 18 (01) : 13-19 . |
| MLA | 赵密 et al. "浅基岩场地条件下地下结构抗震分析简化方法计算精度研究" . | 震灾防御技术 18 . 01 (2023) : 13-19 . |
| APA | 赵密 , 李铭博 , 高志懂 , 杜修力 . 浅基岩场地条件下地下结构抗震分析简化方法计算精度研究 . | 震灾防御技术 , 2023 , 18 (01) , 13-19 . |
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Abstract ：
地铁车站多采用基于地下连续墙(简称:地连墙)的明挖施工方法,施工后地连墙作为永久结构与车站共同受力.在车站结构抗震分析中,考虑到地连墙可能对结构抗震的有利作用,出于安全储备考虑通常忽略地连墙的存在,但地连墙对车站结构地震响应的影响规律和机理仍有待深入研究.以某典型两层三跨地铁车站结构为对象,基于近场波动有限元方法并结合黏弹性人工边界条件,开展有无地连墙情况车站结构地震响应特性对比研究,揭示不同场地条件下地连墙对车站结构地震响应的影响规律,阐明地连墙的影响机理.研究结果表明:地连墙具有减小车站结构总体层间位移效应,有利于侧墙和底层中柱抗震,但同时放大了顶底板与侧墙连接处的弯矩和正应力;地连墙对结构顶层中柱端部及中跨中板板端的内力和正应力的影响与场地条件相关,坚硬和中硬场地条件下具有减小效应,软弱场地下略有增大作用.上述结构响应规律的原因可归结为地连墙增加了结构侧墙刚度,降低了结构整体侧向变形,但限制了侧墙的弯曲变形,导致结构顶底板与侧墙交接处的弯曲变形和内力增大.
Keyword ：
地连墙 地连墙 地震响应 地震响应 不同场地条件 不同场地条件 土-结构动力相互作用 土-结构动力相互作用 车站结构 车站结构
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| GB/T 7714 | 赵密 , 贾智富 , 昝子卉 et al. 不同场地条件下地连墙对地铁车站结构地震动力响应的影响 [J]. | 地震工程学报 , 2023 , 45 (2) : 270-278,295 . |
| MLA | 赵密 et al. "不同场地条件下地连墙对地铁车站结构地震动力响应的影响" . | 地震工程学报 45 . 2 (2023) : 270-278,295 . |
| APA | 赵密 , 贾智富 , 昝子卉 , 黄景琦 , 杜修力 . 不同场地条件下地连墙对地铁车站结构地震动力响应的影响 . | 地震工程学报 , 2023 , 45 (2) , 270-278,295 . |
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Abstract ：
In this paper, the seismic reduction and isolation measures are first proposed by setting a segmented isolation layer between the diaphragm wall and the side wall of the station structure. Although the segmented isolation layer can effectively improve the stress state of the side wall and slabs, the seismic reduction effect of the middle column is not obvious. In order to improve the overall seismic performance of the station structure, the reduction measures by combining the segmented isolation layer and new type bearing of the middle column are then proposed. At the same time of inserting the isolation layer between the diaphragm wall and the structure, the sliding bearing at the top of the column is set up to reduce the vibration. The results show that the segmented isolation layer can significantly reduce the internal force and damage at the top, bottom and side wall joints. In addition, the combined measures of segmented isolation layer and sliding bearing at the top of the column can effectively reduce the seismic damage of the middle column. The damage of the connection between the top plate, the middle plate and the middle column can be significantly decreased.
Keyword ：
finite element analysis finite element analysis seismic reduction measures seismic reduction measures segmented isolation layer segmented isolation layer diaphragm wall diaphragm wall underground structure underground structure
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| GB/T 7714 | Zhang, Qi , Zhao, Mi , Huang, Jingqi et al. Study on Seismic Reduction Measures of a Diaphragm Wall-Underground Structure System [J]. | APPLIED SCIENCES-BASEL , 2023 , 13 (12) . |
| MLA | Zhang, Qi et al. "Study on Seismic Reduction Measures of a Diaphragm Wall-Underground Structure System" . | APPLIED SCIENCES-BASEL 13 . 12 (2023) . |
| APA | Zhang, Qi , Zhao, Mi , Huang, Jingqi , Gao, Zhidong . Study on Seismic Reduction Measures of a Diaphragm Wall-Underground Structure System . | APPLIED SCIENCES-BASEL , 2023 , 13 (12) . |
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Abstract ：
A novel artificial boundary method called the scaled boundary perfectly matched layer (SBPML) is proposed for the transient analysis of elastic wave propagation in unbounded domains. This method constructs a generalized perfectly matched layer (PML) around the finite interior subdomain based on a coordinate transformation inspired by the scaled boundary finite element method (SBFEM). It can model the infinite exterior subdomains of heterogeneous materials, featuring both parallel and radial straight-line physical surfaces and interfaces. In addition, generally-shaped (even nonconvex-shape) artificial boundaries can be used to provide high flexibility in choosing the geometry of the finite interior subdomain. Two coordinate mapping technologies, namely the modified scaled boundary coordinate transformation from the SBFEM and the complex coordinate stretching from the PML, are successively utilized to construct the proposed method. By introducing the integral of stress as an auxiliary variable, the resulting SBPML subdomain is represented in the time domain using a mixed displacement-stress unsplit-field formulation. This has the added benefit of allowing for easy incorporation into standard dynamic finite element methods. The performance of the SBPML is demonstrated through several numerical examples, including P-SV and SH wave propagation problems occurring in unbounded domains with complex geometries and heterogeneous material properties. The numerical results are evaluated in comparison to both reference solution and existing artificial boundary methods, ultimately demonstrating the flexibility, robustness, accuracy, and stability of the proposed approach.
Keyword ：
scaled boundary finite element method scaled boundary finite element method perfectly matched layer perfectly matched layer artificial boundary condition artificial boundary condition wave propagation wave propagation unbounded domain unbounded domain
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| GB/T 7714 | Zhang, Guoliang , Zhao, Mi , Du, Xiuli et al. Time-domain scaled boundary perfectly matched layer for elastic wave propagation [J]. | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING , 2023 , 124 (18) : 3906-3934 . |
| MLA | Zhang, Guoliang et al. "Time-domain scaled boundary perfectly matched layer for elastic wave propagation" . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 124 . 18 (2023) : 3906-3934 . |
| APA | Zhang, Guoliang , Zhao, Mi , Du, Xiuli , Zhang, Junqi . Time-domain scaled boundary perfectly matched layer for elastic wave propagation . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING , 2023 , 124 (18) , 3906-3934 . |
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Abstract ：
考虑地震强度的空间变异性,本文提出一种以震后通行能力为目标的地震作用下地铁系统连通可靠性评价方法.首先,根据历史地震资料和地震烈度衰减关系,开展目标区域地震危险性分析,生成具有空间变异性的地震动峰值加速度场;其次,采用图论建模方法构建地铁网络拓扑模型,并将地震动场输入网络;再次,结合结构地震易损性模型计算地铁车站、区间隧道的地震失效概率,并模拟地铁网络的震后状态;最后,引入有效连通的概念建立了3种指标:网络连通可靠度、车站连通可靠度和运营线路故障率,基于Monte Carlo模拟方法从不同角度对地铁系统的抗震连通可靠性进行分析.基于上述流程以北京市城六区地铁系统为例进行抗震连通可靠性分析.结果表明:地震强度的空间变异性对系统连通可靠度的影响显著;在50年超越概率为10%的地震作用下该地铁系统中88%的车站之间能够实现有效连通;运营线路之间相互交错形成闭环能有效提高系统的连通可靠度.
Keyword ：
地铁系统 地铁系统 地震动峰值加速度 地震动峰值加速度 Monte Carlo模拟 Monte Carlo模拟 有效连通 有效连通 连通可靠性 连通可靠性 城市交通 城市交通
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| GB/T 7714 | 赵密 , 宋军 , 缪惠全 et al. 考虑地震强度空间变异性的地铁系统连通可靠性分析 [J]. | 交通运输系统工程与信息 , 2023 , 23 (4) : 203-210 . |
| MLA | 赵密 et al. "考虑地震强度空间变异性的地铁系统连通可靠性分析" . | 交通运输系统工程与信息 23 . 4 (2023) : 203-210 . |
| APA | 赵密 , 宋军 , 缪惠全 , 钟紫蓝 , 杜修力 . 考虑地震强度空间变异性的地铁系统连通可靠性分析 . | 交通运输系统工程与信息 , 2023 , 23 (4) , 203-210 . |
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Abstract ：
Artificial boundary method is widely used in the numerical modeling of unbounded wave problem. However, the accurate modeling of truncated infinite domain with general geometry and heterogeneous materials is still a challenging task, especially for direct time-domain analysis in three dimensions (3D). In this paper, a novel 3D time-domain artificial boundary method, called Scaled Boundary Perfectly Matched Layer (SBPML), is proposed. This method is a generalization of the Perfectly Matched Layer (PML) based on a scaled boundary coordinates transformation inspired by the Scaled Boundary Finite Element Method (SBFEM), which is capable of using artificial boundary of general geometry (not necessarily convex) and considering plane physical surfaces and interfaces extending to infinity in the truncated infinite domain. Local scaled boundary coordinates are firstly introduced on the element-level into the truncated infinite domain to describe general geometry properties of the infinite domain. Then, a complex stretching function from PML is applied to radial direction of the local scaled boundary coordinates to map the physical space onto the complex space, resulting in a SBPML domain. The spatial discretization of the SBPML domain produces semi-discrete mixed displacement-stress unsplit-field formulations of third orders in time. The order of the obtained formulation can be reduced by one, enabling a seamless coupling with the standard displacementbased finite element formulation of the interior domain. The coupled system can be solved by an explicit time integration algorithm efficiently. The validation of the SBPML is demonstrated through several benchmark tests, including wave problems in unbounded domains with general geometries and heterogeneous material properties. Furthermore, the application of the SBPML in dynamic soil-structure interaction (SSI) is demonstrated using two engineering problems, including an impact analysis of soft rock-nuclear island system and a vibration analysis of soil-lined tunnel system. (c) 2022 Elsevier B.V. All rights reserved.
Keyword ：
Perfectly matched layer (PML) Perfectly matched layer (PML) Unbounded domain Unbounded domain Artificial boundary method Artificial boundary method Scaled boundary finite element method (SBFEM) Scaled boundary finite element method (SBFEM) Dynamic soil-structure interaction Dynamic soil-structure interaction Explicit finite element method Explicit finite element method
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| GB/T 7714 | Zhang, Guoliang , Zhao, Mi , Zhang, Junqi et al. Scaled Boundary Perfectly Matched Layer (SBPML): A novel 3D time-domain artificial boundary method for wave problem in general-shaped and heterogeneous infinite domain [J]. | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , 2023 , 403 . |
| MLA | Zhang, Guoliang et al. "Scaled Boundary Perfectly Matched Layer (SBPML): A novel 3D time-domain artificial boundary method for wave problem in general-shaped and heterogeneous infinite domain" . | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 403 (2023) . |
| APA | Zhang, Guoliang , Zhao, Mi , Zhang, Junqi , Du, Xiuli . Scaled Boundary Perfectly Matched Layer (SBPML): A novel 3D time-domain artificial boundary method for wave problem in general-shaped and heterogeneous infinite domain . | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , 2023 , 403 . |
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Abstract ：
Pushover analysis as an efficient nonlinear static analysis method has been widely applied to the seismic inelastic performance evaluation of above-ground structures. Although it has the main advantage of high computational efficiency compared to nonlinear dynamic time-history analysis (THA), the assumption that the fundamental mode dominates structural response limits its application to long-period structures. Improved pushover analysis has been developed to consider the higher mode effect, named modal pushover analysis (MPA), but all research mainly focused on buildings and bridges. Since the mechanical behaviors of the underground structures and above-ground structures under seismic exaction are not exactly the same, so far, MPA suitable for seismic performance assessment of underground structures still has not been developed. Therefore, the aim of this investigation is to develop MPA for the seismic performance assessment of underground structures. A prototype subway station structure and a soft site are used to study the applicability of the developed MPA and compare it with the traditional pushover analysis procedure and nonlinear THA. Numerical analysis results of the subway station illustrate the applicability and potential of the developed MPA for underground structures.
Keyword ：
modal pushover analysis modal pushover analysis nonlinear response nonlinear response Underground structure Underground structure effective mode effective mode earthquake demand earthquake demand
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| GB/T 7714 | Gao, Zhidong , Zhao, Mi , Du, Xiuli . Modal Pushover Analysis for Seismic Performance Assessment of Underground Structures [J]. | JOURNAL OF EARTHQUAKE ENGINEERING , 2022 , 27 (5) : 1196-1214 . |
| MLA | Gao, Zhidong et al. "Modal Pushover Analysis for Seismic Performance Assessment of Underground Structures" . | JOURNAL OF EARTHQUAKE ENGINEERING 27 . 5 (2022) : 1196-1214 . |
| APA | Gao, Zhidong , Zhao, Mi , Du, Xiuli . Modal Pushover Analysis for Seismic Performance Assessment of Underground Structures . | JOURNAL OF EARTHQUAKE ENGINEERING , 2022 , 27 (5) , 1196-1214 . |
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Abstract ：
The seismic response of offshore structures is generally influenced by water-structure interaction. This study focuses on the earthquake-induced hydrodynamic forces on axisymmetric offshore structures. Based on the finite element method, an accurate and efficient time-domain numerical model for simulating water-axisymmetric structures subjected to horizontal earthquakes is developed. First, according to interface boundary condition and using the method of separation of variables, the three-dimensional (3D) wave equation governing the compressible water is transformed into a two-dimensional (2D) governing equation in the vertical and radial directions, where the solution in the circumferential direction is analytical. Secondly, an exact artificial boundary condition (ABC) in frequency domain is developed by using the separation of variables method. Third, a high-accuracy ABC that is local in time but global in space is obtained by applying the temporal localization method. Furthermore, the high-accuracy artificial boundary condition is discretized and coupled with the finite element equation of the near field, leading to a symmetric second-order ordinary differential equations. Finally, the coupled finite element equation for the water-axisymmetric cylinder is presented. The proposed method is used to study the effect of water compressibility on the seismic response of and evaluate the seismic responses of a composite bucket foundation.
Keyword ：
Artificial boundary condition Artificial boundary condition Finite element Finite element Earthquake Earthquake Hydrodynamic force Hydrodynamic force Axisymmetric structure Axisymmetric structure
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| GB/T 7714 | Wang, Piguang , Zhang, Chao , Wang, Xiaojing et al. An accurate and efficient time-domain numerical model for simulating water-axisymmetric structure subjected to horizontal earthquakes [J]. | MARINE STRUCTURES , 2022 , 85 . |
| MLA | Wang, Piguang et al. "An accurate and efficient time-domain numerical model for simulating water-axisymmetric structure subjected to horizontal earthquakes" . | MARINE STRUCTURES 85 (2022) . |
| APA | Wang, Piguang , Zhang, Chao , Wang, Xiaojing , Zhao, Mi , Du, Xiuli . An accurate and efficient time-domain numerical model for simulating water-axisymmetric structure subjected to horizontal earthquakes . | MARINE STRUCTURES , 2022 , 85 . |
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