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学者姓名：赵密
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Abstract ：
With the development of the Chinese economy and society, the height and density of urban buildings are increasing, and large underground transportation hubs have been constructed in many places to alleviate the pressure of transportation. Commercial buildings are usually developed above the large underground transportation hubs, so the underground structures may have very shallow depths or no soil cover. The seismic response and damage mechanisms of such underground structures still need to be studied. In this paper, an example of a project in China is taken as an object to analyze the seismic response and damage mechanism of the structure after simplification. The spatial distribution of deformations and internal forces of such structures and the location of the maximum internal forces are obtained, and the effect of the frequency of seismic motions on the structural response is obtained. Finally, an elastoplastic analysis of such structures is carried out to assess the damage location and the damage evolution process.
Keyword ：
damage mechanisms damage mechanisms seismic structure-soil structure interaction seismic structure-soil structure interaction large underground frame structures large underground frame structures dynamic analysis dynamic analysis finite element simulation finite element simulation
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| GB/T 7714 | Ding, Qingpeng , Zhao, Mi , Shen, Jiaxu . Seismic Response and Damage Analysis of Large Underground Frame Structures without Overburden [J]. | APPLIED SCIENCES-BASEL , 2024 , 14 (11) . |
| MLA | Ding, Qingpeng 等. "Seismic Response and Damage Analysis of Large Underground Frame Structures without Overburden" . | APPLIED SCIENCES-BASEL 14 . 11 (2024) . |
| APA | Ding, Qingpeng , Zhao, Mi , Shen, Jiaxu . Seismic Response and Damage Analysis of Large Underground Frame Structures without Overburden . | APPLIED SCIENCES-BASEL , 2024 , 14 (11) . |
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Abstract ：
The development of multifunctional, multipurpose small modular next generation nuclear reactors has become a trend in designing small-scale nuclear power stations. In this study, taking a new next-generation buried nuclear power structure as the target structure, a 3D finite element model of the site-nuclear power plant structure system was established, and its response at different sites was studied. Using the internal substructure method, this study initially explored the impact of earthquake input and artificial boundary locations on the structural response. The results indicate that the internal substructure method enhances computational efficiency without compromising accuracy. For this model, it is recommended to input earthquake motion close to the structure, set the lateral boundary location to three times the width of the structure, and set the bottom boundary location to two times the depth of the structure. Subsequently, an investigation into the response of the structure at varying site wave velocities is conducted. The results show that as the wave velocity increases, the acceleration response intensifies, while the displacement response diminishes. However, the relationship is nonlinear; the response exhibits less variation with increasing site wave velocity. The seismic response of a structure is profoundly influenced by site conditions, emphasizing the imperative need for careful consideration of specific site characteristics in seismic analyses. In addition, the response pattern of the overall structure is significantly different from that of conventional large surface-sited nuclear power plants, and further research should be conducted on the seismic response characteristics of buried nuclear power plants.
Keyword ：
Dynamic soil-structure interaction Dynamic soil-structure interaction Internal substructure method Internal substructure method Nuclear structure Nuclear structure Structural seismic response Structural seismic response
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| GB/T 7714 | Wang, Xin , Zhao, Mi , Guan, Jiacheng et al. Site effect on seismic response of buried nuclear power plant structure [J]. | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING , 2024 , 183 . |
| MLA | Wang, Xin et al. "Site effect on seismic response of buried nuclear power plant structure" . | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING 183 (2024) . |
| APA | Wang, Xin , Zhao, Mi , Guan, Jiacheng , Yang, Jie , Du, Xiuli , Zhao, Xu . Site effect on seismic response of buried nuclear power plant structure . | SOIL DYNAMICS AND EARTHQUAKE ENGINEERING , 2024 , 183 . |
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Abstract ：
The physics-informed neural network (PINN) is an effective alternative method for solving differential equations that do not require grid partitioning, making it easy to implement. In this study, using automatic differentiation techniques, the PINN method is employed to solve differential equations by embedding prior physical information, such as boundary and initial conditions, into the loss function. The differential equation solution is obtained by minimizing the loss function. The PINN method is trained using the Adam algorithm, taking the differential equations of motion in structural dynamics as an example. The time sample set generated by the Sobol sequence is used as the input, while the displacement is considered the output. The initial conditions are incorporated into the loss function as penalty terms using automatic differentiation techniques. The effectiveness of the proposed method is validated through the numerical analysis of a two-degree-of-freedom system, a four-story frame structure, and a cantilever beam. The study also explores the impact of the input samples, the activation functions, the weight coefficients of the loss function, and the width and depth of the neural network on the PINN predictions. The results demonstrate that the PINN method effectively solves the differential equations of motion of damped systems. It is a general approach for solving differential equations of motion.
Keyword ：
loss function loss function differential equations of motion differential equations of motion multiple degrees of freedom multiple degrees of freedom activation function activation function physics-informed neural networks physics-informed neural networks
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| GB/T 7714 | Zhang, Wenhao , Ni, Pinghe , Zhao, Mi et al. A General Method for Solving Differential Equations of Motion Using Physics-Informed Neural Networks [J]. | APPLIED SCIENCES-BASEL , 2024 , 14 (17) . |
| MLA | Zhang, Wenhao et al. "A General Method for Solving Differential Equations of Motion Using Physics-Informed Neural Networks" . | APPLIED SCIENCES-BASEL 14 . 17 (2024) . |
| APA | Zhang, Wenhao , Ni, Pinghe , Zhao, Mi , Du, Xiuli . A General Method for Solving Differential Equations of Motion Using Physics-Informed Neural Networks . | APPLIED SCIENCES-BASEL , 2024 , 14 (17) . |
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Abstract ：
The Winkler foundation modulus is key to evaluating the response of underground structures using the elastic foundation beam model. In this paper, an improved formula of the Winkler foundation modulus for a beam embedded in a full space is proposed to overcome the limitation of inconsistent assumptions in previous studies. To achieve this goal, the bending responses of the beam are obtained using the elastic foundation beam model and three-dimensional elastic continuum model, respectively, wherein a consistent assumption is proposed that tangential interactions at the beam-ground interface are ignored in the two models. In addition, as deformation of the site is an important source of the underground structure response, the beam is applied to standard soil displacement of the free field on the Winkler foundation to improve the accuracy of the Winkler modulus obtained by fitting solutions based on the concentrated force on the beam. The formula for the Winkler foundation is obtained by equating the first zero of the bending moment in the two models. The Winkler foundation modulus is verified by comparing the results with numerical solutions and previous studies.
Keyword ：
full space full space underground structures underground structures elastic foundation beam model elastic foundation beam model Winkler foundation modulus Winkler foundation modulus
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| GB/T 7714 | Xu, Lihui , Zhao, Mi , Huang, Jingqi et al. An Improved Winkler Foundation Modulus for a Beam in a Full Space [J]. | APPLIED SCIENCES-BASEL , 2024 , 14 (6) . |
| MLA | Xu, Lihui et al. "An Improved Winkler Foundation Modulus for a Beam in a Full Space" . | APPLIED SCIENCES-BASEL 14 . 6 (2024) . |
| APA | Xu, Lihui , Zhao, Mi , Huang, Jingqi , Li, Huifang , Du, Xiuli , Zhao, Xu et al. An Improved Winkler Foundation Modulus for a Beam in a Full Space . | APPLIED SCIENCES-BASEL , 2024 , 14 (6) . |
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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 ：
近年来, 物理先验融合数据的深度学习方法求解以偏微分方程为理论基础的正反演问题已成为交叉学科热点. 针对地震工程波动数值模拟, 本文阐明了物理驱动深度学习方法PINN的数学概念及实现方式, 以无源项一维波动为例, 开展了相关理论模型构建, 并与解析解及有限差分方法进行对比, 分析了PINN方法与其他数值算法模拟波场的相对范数误差, 验证了物理驱动深度学习方法求解波动问题的可行性. 采用物理驱动深度学习方法并结合谱元法形成的稀疏初始波场数据, 开展了二维波动数值模拟, 实现了自由边界条件及起伏地表等典型工况的模拟, 并给出了时序波场分布特性. 更换不同的初始条件, 测试了神经网络的泛化精度, 提出可显著提高网络训练效率的迁移学习方法. 通过与谱元法的结果对比, 验证了本文方法模拟均质场地、空间不均匀及复杂地形场地波动问题的可靠性. 结果表明, 物理驱动深度学习方法具备无网格、精细化模拟等优势, 并可实现自由地表及侧边界波场透射等数值模拟条件.
Keyword ：
神经网络 神经网络 物理信息深度学习 物理信息深度学习 内源波动 内源波动 边界条件 边界条件 波动数值模拟 波动数值模拟
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| GB/T 7714 | 陈苏 , 丁毅 , 孙浩 et al. 物理驱动深度学习波动数值模拟方法及应用 [J]. | 力学学报 , 2023 , 55 (1) : 272-282 . |
| MLA | 陈苏 et al. "物理驱动深度学习波动数值模拟方法及应用" . | 力学学报 55 . 1 (2023) : 272-282 . |
| APA | 陈苏 , 丁毅 , 孙浩 , 赵密 , 王进廷 , 李小军 . 物理驱动深度学习波动数值模拟方法及应用 . | 力学学报 , 2023 , 55 (1) , 272-282 . |
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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 ：
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 ：
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 ：
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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