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Effects of the long-term degradation of fiber reinforced cementitious matrix (FRCM) systems on the seismic retrofitting of historical masonry structures 纤维增强胶凝基质(FRCM)体系长期退化对历史砌体结构抗震加固的影响
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-02-02 DOI: 10.1016/j.soildyn.2026.110129
R. Labernarda, F. Mazza
Fiber Reinforced Cementitious Matrix (FRCM) systems are emerging as a reliable seismic retrofitting solution for historical structures, due to their mechanical compatibility with the masonry substrate. However, long-term durability remains a critical issue, since FRCM performance can undergo significant degradation under temperature variations and long-time exposure to aggressive environments. Specifically, whereas the strength degradation of FRCM composites is due to the effect of temperature variations on the mortar, the integrity of the fibrous reinforcements is compromised by chemical interactions with the surrounding alkaline lime-based matrix. In the present work, the long-term seismic performance of FRCM systems is analysed with reference to lime-based mortar reinforcements, with basalt (B-FRCM) and E-glass (G-FRCM) fibres. To this end, an extensive numerical investigation is carried out considering the seismic retrofitting with FRCM systems of the unreinforced masonry (URM) walls of historical buildings, characterised by different thickness and inter-storey height, interior and exterior in-plan position, and symmetric and asymmetric in-elevation distribution of openings. The FRCM systems are first designed for shear and flexural strengthening, in line with the provisions of CNR-DT 215/2018. The URM walls are discretised according to the equivalent frame model proposed in the TREMURI software, considering piers and spandrels as structural elements. Degradation of the mechanical properties of B-FRCM and G-FRCM systems resulting from experimental results available in the literature are analysed with reference to two environmental conditions: i.e. temperature variations, ranging from a reference (e.g. 23 °C) up to a maximum (e.g. 80 °C) ambient value corresponding to intense solar radiation; accelerated ageing times, varying from 7 to 180 days. In the end, nonlinear static analyses of the unreinforced (URM) and retrofitted (RM) structures are carried out to assess the influence of such degradation phenomena on the overall effectiveness of the B-FRCM and G-FRCM systems against in-plane failure mechanisms of masonry panels.
纤维增强水泥基质(FRCM)系统由于其与砌体基板的力学相容性,正成为历史建筑可靠的抗震加固解决方案。然而,长期耐久性仍然是一个关键问题,因为FRCM的性能在温度变化和长时间暴露于恶劣环境下会显著下降。具体来说,FRCM复合材料的强度退化是由于温度变化对砂浆的影响,而纤维增强材料的完整性则受到与周围碱性石灰基基质的化学相互作用的损害。在目前的工作中,参考石灰基砂浆增强,玄武岩(B-FRCM)和e-玻璃(G-FRCM)纤维,分析了FRCM体系的长期抗震性能。为此,对历史建筑的无筋砌体(URM)墙体进行了广泛的数值研究,考虑了FRCM系统的抗震改造,其特点是不同的厚度和层间高度,内部和外部平面位置,以及对称和不对称的立面开口分布。FRCM系统首先设计用于剪切和弯曲加固,符合CNR-DT 215/2018的规定。根据TREMURI软件中提出的等效框架模型,将桥墩和桁梁作为结构单元,对URM墙体进行离散。参考两种环境条件分析了B-FRCM和G-FRCM系统的机械性能退化,这些退化是由文献中可用的实验结果引起的:即温度变化,范围从参考(例如23°C)到最大(例如80°C)环境值,对应于强烈的太阳辐射;加速老化时间,从7天到180天不等。最后,对未加固(URM)和加固(RM)结构进行了非线性静力分析,以评估这种退化现象对B-FRCM和G-FRCM体系对砌体面板面内破坏机制的整体有效性的影响。
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引用次数: 0
Attenuation mechanisms of ultralow-frequency seismic metamaterials via complex band structure analysis 基于复带结构分析的超低频地震超材料衰减机理
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-31 DOI: 10.1016/j.soildyn.2026.110140
Weiwei Wang , Chao Zhang , Yan Zhou , Wei Guan
Complex band structures provide a robust framework for explaining energy dissipation and bandgap formation in periodic structures, enabling more effective optimization of wave manipulation. However, research on the complex band structures of surface waves and their use in attenuation analysis of ultralow-frequency seismic metamaterials (SMs) remains limited. In this study, complex band structure analysis is used to examine the attenuation mechanisms of ultralow-frequency SMs. The results indicate that, unlike conventional pile-type SMs whose bandgaps are dominated by a single dissipative mode, zero-frequency-starting surface wave bandgaps (ultralow-frequency surface wave bandgaps) result from the combined contribution of multiple dissipative modes, thereby producing stronger and broader ultralow-frequency attenuation. In addition, the effects of material viscoelasticity and soil stratification are interpreted within the complex band structure framework. Viscoelasticity facilitates the conversion of non-dissipative surface wave modes into dissipative modes, whereas soil layering primarily influences bulk wave interference without changing the intrinsic zero-frequency bandgap mechanism. These findings deepen the physical understanding of ultralow-frequency SMs and highlight the importance of complex band structure analysis for interpreting and designing ultralow-frequency surface wave bandgaps.
复杂的能带结构为解释周期结构中的能量耗散和带隙形成提供了一个强大的框架,使波操纵更有效地优化。然而,对表面波的复杂带结构及其在超低频地震超材料(SMs)衰减分析中的应用研究仍然有限。在本研究中,采用复带结构分析来研究超低频短信号的衰减机制。研究结果表明,与传统桩式短波带隙由单一耗散模式主导不同,零频率启动表面波带隙(即超低频表面波带隙)是由多个耗散模式共同贡献的结果,从而产生更强、更宽的超低频衰减。此外,在复杂的带状结构框架内解释了材料粘弹性和土壤分层的影响。粘弹性有助于非耗散表面波模式向耗散模式的转换,而分层主要影响体波干扰,而不会改变固有的零频带隙机制。这些发现加深了对低频短波的物理认识,并强调了复杂带结构分析对解释和设计低频表面波带隙的重要性。
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引用次数: 0
Enhancing seismic resilience of precast segmental piers using external replaceable ring energy dissipator (ERRED) 外可更换环形消能器增强预制节段墩抗震性能研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-30 DOI: 10.1016/j.soildyn.2026.110133
Rashad Al-Shaebi , Xiaolei Jiao , Ning Li
Precast segmental piers (PSPs) are growing popular in modern bridge construction due to their rapid assembly and efficiency, yet their limited energy dissipation (ED) capacity and seismic resilience restrict deployment in high seismic regions. This study proposes a novel external replaceable ring energy dissipator (ERRED) integrated with PSP (PSP-ERRED) to enhance seismic resilience, enable rapid post-earthquake repair, and provide controlled ED and self-centering performance. Quasi-static cyclic loading tests were conducted on three PSP specimens: one conventional PSP without ERRED (P-NED) and two PSP-ERREDs (P-ERRED-1 and P-ERRED-2, with different steel band connections). The tests evaluated lateral capacity, ED, stiffness, residual displacement, and failure modes. Key results demonstrated that PSP-ERREDs increased lateral load capacity by 35.6–46.7%, ED by 54–78%, and stiffness by 35.5–46.7%, while reducing residual displacement by 74.5–83.2% compared to P-NED at 6% drift ratio. Bolted and unbolted steel band connections exhibited effective and robust mechanical performance in PSP-ERREDs. The ERRED design facilitates structural damage control and post-earthquake repairs, offering a practical and cost-effective solution for resilient bridge infrastructure in seismic zones.
预制节段墩由于其快速组装和高效,在现代桥梁建设中越来越受欢迎,但其有限的耗能能力和抗震弹性限制了在高震区的部署。本研究提出了一种新型的外可更换环形能量耗散器(ERRED)与PSP (PSP-ERRED)集成,以增强地震恢复能力,实现震后快速修复,并提供可控的ED和自定心性能。对3个PSP试件进行了准静态循环加载试验:1个不带ERRED的常规PSP试件(P-NED)和2个PSP-ERRED试件(P-ERRED-1和P-ERRED-2,不同钢带连接方式)。测试评估了横向承载力、ED、刚度、残余位移和破坏模式。关键结果表明,在6%漂移比下,与P-NED相比,psp - erred的横向承载能力提高了35.6% - 46.7%,ED提高了54-78%,刚度提高了35.5-46.7%,剩余位移减少了74.5-83.2%。螺栓连接和非螺栓连接的钢带连接在psp - erred中表现出有效和稳健的力学性能。ERRED设计有助于结构损伤控制和震后修复,为震区弹性桥梁基础设施提供实用且经济的解决方案。
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引用次数: 0
Semi-active impact damper with genetic algorithm-optimized fuzzy control for structural vibration reduction under various excitations 基于遗传算法优化模糊控制的半主动冲击阻尼器在各种激励下的结构减振
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-30 DOI: 10.1016/j.soildyn.2026.110146
Zheng Lu , Tianyi Lou , Mengyao Zhou , Dianchao Wang , Jundong Fu
Conventional control strategies for semi-active impact dampers (SAIDs) rely on the precise prediction of the structure's return to static equilibrium position, limiting their applicability under complex excitations. To address these limitations, this study proposes a fuzzy control-enhanced SAID (FSAID) with a relay genetic algorithm (GA) optimized fuzzy controller. The efficacy of the proposed control strategy and its GA-based optimization is validated. This method introduces a novel fuzzy control strategy for the SAID system which operates independently of physical models. The damping performance of the FSAID and SAID is systematically compared in structures subjected to seismic and wind excitations. Under seismic waves, the FSAID achieves improvements up to 41.76 % and 30.28 % in peak and root mean square displacement reduction compared to the conventional SAID, respectively. Under wind loads, both the FSAID and SAID exhibit a decrease in the mass block's impact frequency compared to seismic scenarios. The SAID exhibits significantly reduced or nearly loss of its effectiveness, while the FSAID system maintains superior control performance of 14 %–22 % in displacement reduction. These results demonstrate the stronger robustness and adaptability of FSAID system in mitigating structural vibrations under diverse excitations.
传统的半主动冲击阻尼器控制策略依赖于对结构返回静力平衡位置的精确预测,限制了其在复杂激励下的适用性。为了解决这些限制,本研究提出了一种模糊控制增强型模糊控制器(FSAID),并采用继电器遗传算法(GA)优化模糊控制器。验证了所提控制策略及其基于遗传算法的优化的有效性。该方法引入了一种新的模糊控制策略,使该系统独立于物理模型运行。系统比较了两种结构在地震和风作用下的阻尼性能。在地震波作用下,FSAID与常规SAID相比,峰值和均方根位移分别减少了41.76%和30.28%。在风荷载作用下,与地震情景相比,FSAID和SAID均表现出质量块体撞击频率的降低。该系统的驱替效果显著降低或几乎丧失,而FSAID系统的驱替效果保持在14% - 22%的优异水平。结果表明,FSAID系统在多种激励下具有较强的鲁棒性和适应性。
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引用次数: 0
Probabilistic active control of a seismically excited building using probabilistic fuzzy logic controller 基于概率模糊控制器的地震激励建筑物概率主动控制
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-30 DOI: 10.1016/j.soildyn.2026.110131
Azadeh Jalali , Hashem Shariatmadar , Siamak Golnargesi
Due to the linguistic and probabilistic uncertainties in real-world structures, probabilistic active vibration control of buildings has been an issue of research interest in recent years. In this study, a probabilistic fuzzy logic controller (PFLC) was proposed as a novel probabilistic active control system, in which the fuzzy logic and probability theory were integrated simultaneously. The proposed approach was applied to a 20-story benchmark building with uncertain specifications under strong seismic excitation. The uncertain parameters were random samples with a Gaussian distribution by a 10 % dispersion coefficient. The findings of the PFLC have been compared with those of a linear quadratic Gaussian (LQG) controller, interval type-2 fuzzy (IT2F) controller and an uncontrolled structural model. The control algorithms were tested on pre-earthquake and post-earthquake evaluation models. The capability of the control techniques in reducing the outcomes of the evaluation models was determined from several evaluation criteria. The analysis results showed that the PFLC was more accurate than the LQG and IT2F controllers and performed better in reducing the evaluation criteria responses due to its consideration of random variability.
由于现实结构中存在语言和概率的不确定性,建筑物的概率主动振动控制成为近年来研究的热点问题。本文提出了一种将模糊逻辑和概率论相结合的新型概率主动控制系统——概率模糊控制器。将所提出的方法应用于一个规格不确定的20层基准建筑在强地震激励下。不确定参数为随机样本,离散系数为10%,呈高斯分布。将PFLC的结果与线性二次高斯(LQG)控制器、区间2型模糊(IT2F)控制器和非受控结构模型的结果进行了比较。在地震前和地震后评价模型上对控制算法进行了验证。控制技术在降低评价模型结果方面的能力是由几个评价标准决定的。分析结果表明,PFLC由于考虑了随机变异性,比LQG和IT2F控制器更精确,在减少评价标准响应方面表现更好。
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引用次数: 0
Rapid structural seismic response prediction using physics-informed inputs and scientific training strategies 使用物理信息输入和科学训练策略的快速结构地震反应预测
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-30 DOI: 10.1016/j.soildyn.2026.110152
Yang Liu , Jiaqi Feng , Youshui Miao , Wei Hou
Rapid and accurate prediction of structural seismic responses is essential for effective earthquake hazard mitigation. Traditional nonlinear time-history analysis methods, while highly accurate, incur substantial computational costs. Conversely, simplified structural models and analyses enhance computational efficiency but compromise predictive accuracy. Recent machine learning (ML) approaches have emerged as promising alternatives; however, their effectiveness often remains constrained by insufficient training data and limited generalization capability. To overcome these limitations, this study proposes a novel deep learning method that integrates physics-informed input representations with scientifical training strategies. Specifically, response diagrams in the time domain, depicting linear response histories of single-degree-of-freedom systems, are introduced as model inputs. These diagrams effectively encode both the time and frequency characteristics of ground motions, as well as efficiently represent the solutions to the equations of motion. Leveraging these physics-informed features, several state-of-the-art deep learning architectures adapted from the image classification domain are systematically evaluated for their ability to predict nonlinear structural seismic responses. Additionally, the study investigates the influence of various optimizers and learning rate scheduling policies on model training and predictive performance, ensuring adherence to scientifically training strategies. Furthermore, a hybrid transfer-learning framework is developed, enabling effective fine-tuning of models for different structural systems using limited datasets. By combining physical insights with advanced ML techniques, the proposed approach significantly enhances computational efficiency, prediction accuracy, and generalization capability. Through its innovative incorporation of prior physics knowledge, this work offers a robust and efficient solution for rapid seismic response prediction.
快速准确地预测结构地震反应是有效减轻地震危害的必要条件。传统的非线性时程分析方法虽然精度高,但计算量大。相反,简化的结构模型和分析提高了计算效率,但损害了预测的准确性。最近的机器学习(ML)方法已经成为有前途的替代方案;然而,它们的有效性往往受到训练数据不足和泛化能力有限的限制。为了克服这些限制,本研究提出了一种新的深度学习方法,该方法将物理信息输入表示与科学训练策略相结合。具体来说,时域响应图描述了单自由度系统的线性响应历史,作为模型输入被引入。这些图有效地编码了地面运动的时间和频率特征,并有效地表示了运动方程的解。利用这些物理信息特征,从图像分类领域改编的几种最先进的深度学习架构被系统地评估了它们预测非线性结构地震反应的能力。此外,研究还考察了各种优化器和学习率调度策略对模型训练和预测性能的影响,以确保遵循科学的训练策略。此外,开发了一个混合迁移学习框架,能够使用有限的数据集对不同结构系统的模型进行有效的微调。通过将物理洞察与先进的机器学习技术相结合,该方法显著提高了计算效率、预测精度和泛化能力。通过创新地结合先前的物理知识,这项工作为快速地震反应预测提供了一个强大而有效的解决方案。
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引用次数: 0
Spatiotemporal evolution of deep fault slip and its coupled dynamic loading influence zone 深断层滑动时空演化及其耦合动载影响带
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-30 DOI: 10.1016/j.soildyn.2025.110021
Bo Zhang , Hongbao Zhao , Guang Yang , Xuebing Wang , Lu Gao , Dongliang Ji
Deep mining can induce fault slip, leading to significant dynamic loading effects. This study presents a comprehensive analysis to elucidate the mechanical mechanisms driving deep fault activation caused by mining-induced disturbances and to delineate the mutual feedback influence zone between mining activities and fault activation. The bottom extraction roadway in the Third Eastern mining area of the Dashuitou mine serves as the engineering case study. This roadway experiences dynamic loading effects from both upper coal seam mining and fault activation during excavation and subsequent reuse. An elastic mechanical model of the fault and surrounding rock under mining-induced stress is developed to reveal the mechanism by which mining stresses trigger fault activation. Additionally, an evaluation model for fault slip is proposed, based on the changes in the mechanical state of fault elements before and after unloading. A FLAC3D numerical model incorporating a fault is constructed to assess fault slip in relation to mining progress and spatial stress variations within the fault. Results indicate that as mining approaches the fault, the likelihood of slip increases significantly, with the fault slip index exhibiting an oscillatory wave pattern. Fault-type rockbursts result from the combined effects of high static loading on fault coal pillars, dynamic loading induced by mining stresses, and dynamic loading from fault activation. Numerical simulations, corroborated by in situ microseismic monitoring, establish the mutual feedback influence range between mining and fault activation as approximately 150 m. Accordingly, enhanced support measures are implemented within this coupled dynamic load influence zone to ensure the stability of the bottom extraction roadway. These findings offer valuable insights for assessing fault activation in working faces with similar geological settings.
深部开采可诱发断层滑动,导致显著的动加载效应。本文综合分析了采动扰动诱发深部断层活化的力学机制,并圈定了采动与断层活化的相互反馈影响带。以大水头矿东三采区底采巷道为工程实例。该巷道在开挖及回用过程中既有上煤层开采的动荷载作用,也有断层活化的动荷载作用。建立了采动应力作用下断层及围岩的弹性力学模型,揭示了采动应力触发断层活化的机理。在此基础上,提出了基于卸荷前后断层单元力学状态变化的断层滑动评价模型。构建了包含断层的FLAC3D数值模型,以评估断层滑动与采矿进度和断层内空间应力变化的关系。结果表明,随着采矿向断层靠近,断层滑动的可能性显著增加,断层滑动指数呈现振荡波型。断层型地压是断层煤柱高静载荷、采动应力诱发动载荷和断层活化动载荷共同作用的结果。数值模拟结果与现场微震监测结果相吻合,确定采动与断层活化的相互反馈影响范围约为150 m。据此,在该耦合动荷载影响区内实施强化支护措施,保证底部抽采巷道的稳定。这些发现为评估具有类似地质背景的工作面断层活化提供了有价值的见解。
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引用次数: 0
A locally resonant seismic metamaterial with a low-frequency broadband bandgap 具有低频宽带带隙的局部共振地震超材料
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-28 DOI: 10.1016/j.soildyn.2026.110142
Hongyang Sun , Hong Hai , Wei Wang , Weikai Xu , Shasha Yuan
Earthquakes pose significant risks due to their unpredictability, causing extensive damage to human life, socio-economic structures, and the environment. This has led to the development of earthquake-resistant and mitigation technologies aimed at minimizing structural damage. However, traditional seismic isolation technologies often fall short of meeting seismic resistance standards due to inherent limitations, underscoring the need for innovative seismic solutions. This paper introduces a new seismic metamaterial characterized by locally resonant zero-frequency band gaps. The material consists of a number of steel box-type components buried regularly in the soil with internal oscillators. Through analytical derivation and finite element analysis, it has been established that the upper limit of the seismic metamaterial's zero-frequency band gap coincides with the fundamental frequency of the plate. Additionally, the attenuation of elastic waves in a harmonic state as they pass through the metamaterial is elucidated. Further investigation reveals the band gap generation mechanism and examines the influence of geometric parameters on the metamaterial's band gap. Comprehensive frequency and time domain analyses validate the band gap of this innovative seismic metamaterial. Findings suggest that the metamaterial demonstrates superior performance in creating low-frequency band gaps. Employing straightforward configurations and practical placement strategies, it is possible to achieve extremely low-frequency band gaps within the range of earthquake frequencies.
地震由于其不可预测性而构成重大风险,对人类生活、社会经济结构和环境造成广泛破坏。这导致了旨在尽量减少结构破坏的抗震和减灾技术的发展。然而,由于固有的局限性,传统的隔震技术往往达不到抗震标准,因此需要创新的抗震解决方案。介绍了一种以局部共振零频带隙为特征的新型地震超材料。该材料由许多带内部振荡器的钢盒型组件定期埋在土壤中组成。通过解析推导和有限元分析,确定了地震超材料的零频带隙上限与板的基频重合。此外,还解释了弹性波在谐波状态下通过超材料时的衰减。进一步研究揭示了带隙的产生机理,并考察了几何参数对材料带隙的影响。综合频域和时域分析验证了这种创新的地震超材料的带隙。研究结果表明,该超材料在制造低频带隙方面表现出优异的性能。采用简单的配置和实用的放置策略,可以在地震频率范围内实现极低频带隙。
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引用次数: 0
Cyclic response analysis of air-injected calcareous sand: An experimental study on excess pore water pressure development and volumetric strain changes 注气钙质砂的循环响应分析——超孔隙水压力发展与体积应变变化的实验研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-28 DOI: 10.1016/j.soildyn.2026.110143
Saeed Sarajpoor , Yumin Chen , Zijun Wang , Sina Akhyani , Runze Chen
Liquefaction in sandy soils poses significant threats during seismic events, necessitating effective mitigation strategies. This study investigates the performance of the Induced Partial Saturation (IPS) technique in mitigating liquefaction by reducing the generated excess pore water pressure and volumetric strain in calcareous sand under cyclic loading. A series of 35 cyclic shear tests was performed on saturated and partially saturated samples. The air injection method was used as an IPS technique for preparing partially saturated samples, with a maximum volumetric strain of 0–4 %. The results demonstrated that increasing the maximum volumetric strain considerably reduced excess pore water pressure generation and volumetric strain during cyclic loading. The sample volume change was observed in three stages: air injection, undrained cyclic loading, and pore water pressure dissipation. Air injection caused negligible volume change, while significant volume changes occurred during the cyclic loading and pore water pressure dissipation stages. Moreover, predictive equations were proposed to estimate excess pore water pressure generation and volumetric strain during seismic events to further contribute to geotechnical engineering practices. Finally, to assess the durability of the air injection method as a liquefaction mitigation technique, the influence of applied cyclic loading on the maximum volumetric strain changes before and after the cyclic loading was evaluated.
沙质土壤的液化在地震事件中构成重大威胁,需要有效的缓解策略。研究了在循环荷载作用下,诱导部分饱和(IPS)技术通过降低钙质砂产生的超孔隙水压力和体积应变来缓解液化的性能。对饱和和部分饱和试样进行了35次循环剪切试验。采用空气注入法制备部分饱和样品,最大体积应变为0 ~ 4%。结果表明,增大最大体积应变可显著降低循环加载过程中产生的超孔隙水压力和体积应变。试样的体积变化分为注气、不排水循环加载和孔隙水压力耗散三个阶段。注入空气对体积变化的影响可以忽略不计,而在循环加载和孔隙水压力消散阶段,体积变化显著。此外,还提出了地震过程中超孔隙水压力产生和体应变的预测方程,以进一步促进岩土工程实践。最后,为了评估空气喷射作为液化缓解技术的耐久性,评估了施加循环加载对循环加载前后最大体积应变变化的影响。
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引用次数: 0
A comprehensive framework for assessing critical behavior of lead rubber bearings under Multiaxial-Loading: Numerical, theoretical, collapse probability, and seismic analysis 评估铅橡胶支座在多轴载荷下临界行为的综合框架:数值、理论、倒塌概率和地震分析
IF 4.6 2区 工程技术 Q1 ENGINEERING, GEOLOGICAL Pub Date : 2026-01-27 DOI: 10.1016/j.soildyn.2026.110141
Ying Zhou , Mohammed Samier Sebaq
This study proposes a standardized and reusable finite element (FE)-based framework to evaluate the critical behavior of lead rubber bearings (LRBs) under multiaxial loading (bidirectional shear deformation and axial pressure) in comparison with biaxial loading (unidirectional shear and axial pressure). The objectives of this study are: 1) to develop an advanced ABAQUS-based FE model capable of capturing the critical response of LRBs under both biaxial- and multiaxial-loading; 2) to investigate the critical behavior of LRBs under multiaxial-loading paths, including circular, box, and figure-eight orbits with varying the first and second shape factors; 3) to derive empirical formulations for predicting the normalized critical load under biaxial- and multiaxial-loading; 4) to develop collapse probabilities of LRBs as functions of shear-strain; and 5) to assess the influence of LRBs' multiaxial behavior on the seismic response of a three-dimensional, four-story steel-building subjected to 88-ground-motions. The results demonstrate that the critical shear strain of LRBs under multiaxial loading is defined as the maximum of the X- and Y-direction values, ensuring consistent and meaningful comparisons across varying loading paths. The figure-eight loading orbit significantly reduces the critical deformation capacity of LRBs and increases the probability of collapse compared to biaxial loading. Furthermore, the multiaxial behavior of LRBs leads to increased deformation, acceleration, and base shear of steel-building by 22.0 %, 22.3 %, and 27.2 % in the X-direction, and by 29.0 %, 22.6 %, and 30.3 % in the Y-direction, respectively, relative to the biaxial behavior. The findings support performance-based design tools by enabling data-driven and modeling framework of LRBs under multiaxial-loading.
本研究提出了一个标准化和可重复使用的基于有限元(FE)的框架来评估铅橡胶支座(LRBs)在多轴载荷(双向剪切变形和轴压)下与双向载荷(单向剪切和轴压)下的临界行为。本研究的目标是:1)开发一种先进的基于abaqus的有限元模型,该模型能够捕获LRBs在双轴和多轴载荷下的临界响应;2)研究了LRBs在不同第一和第二形状因子的多轴加载路径下的临界行为,包括圆形、箱形和8字形轨道;3)推导双轴和多轴载荷下归一化临界荷载的经验公式;4)建立了随剪切应变变化的LRBs倒塌概率;5)评价了LRBs的多轴特性对88次地震动作用下三维四层钢结构建筑地震响应的影响。结果表明,多轴加载下LRBs的临界剪切应变定义为X和y方向值的最大值,确保了不同加载路径下的一致性和有意义的比较。与双轴加载相比,8字形加载轨道显著降低了LRBs的临界变形能力,增加了LRBs坍塌的概率。此外,与双轴行为相比,LRBs的多轴行为导致钢结构在x方向上的变形、加速度和基础剪力分别增加22.0%、22.3%和27.2%,在y方向上分别增加29.0%、22.6%和30.3%。研究结果支持基于性能的设计工具,支持数据驱动和多轴加载下LRBs建模框架。
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Soil Dynamics and Earthquake Engineering
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