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A whole process damage constitutive model for layered sandstone under uniaxial compression based on Logistic function 基于 Logistic 函数的单轴压缩条件下层状砂岩全过程损伤构成模型
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5580-0
Dong-qiao Liu, Yun-peng Guo, Kai Ling, Jie-yu Li

Bedding structural planes significantly influence the mechanical properties and stability of engineering rock masses. This study conducts uniaxial compression tests on layered sandstone with various bedding angles (0°, 15°, 30°, 45°, 60°, 75° and 90°) to explore the impact of bedding angle on the deformational mechanical response, failure mode, and damage evolution processes of rocks. It develops a damage model based on the Logistic equation derived from the modulus’s degradation considering the combined effect of the sandstone bedding dip angle and load. This model is employed to study the damage accumulation state and its evolution within the layered rock mass. This research also introduces a piecewise constitutive model that considers the initial compaction characteristics to simulate the whole deformation process of layered sandstone under uniaxial compression. The results revealed that as the bedding angle increases from 0° to 90°, the uniaxial compressive strength and elastic modulus of layered sandstone significantly decrease, slightly increase, and then decline again. The corresponding failure modes transition from splitting tensile failure to slipping shear failure and back to splitting tensile failure. As indicated by the modulus’s degradation, the damage characteristics can be categorized into four stages: initial no damage, damage initiation, damage acceleration, and damage deceleration termination. The theoretical damage model based on the Logistic equation effectively simulates and predicts the entire damage evolution process. Moreover, the theoretical constitutive model curves closely align with the actual stress – strain curves of layered sandstone under uniaxial compression. The introduced constitutive model is concise, with fewer parameters, a straightforward parameter determination process, and a clear physical interpretation. This study offers valuable insights into the theory of layered rock mechanics and holds implications for ensuring the safety of rock engineering.

垫层结构平面对工程岩体的力学性能和稳定性有重大影响。本研究对具有不同基底倾角(0°、15°、30°、45°、60°、75°和 90°)的层状砂岩进行了单轴压缩试验,以探讨基底倾角对岩石变形力学响应、破坏模式和破坏演化过程的影响。该研究基于模量退化推导出的 Logistic 方程,并考虑到砂岩层理倾角和荷载的综合影响,建立了一个损伤模型。该模型用于研究层状岩体中的损伤累积状态及其演化过程。该研究还引入了考虑初始压实特征的片断构成模型,以模拟单轴压缩下层状砂岩的整个变形过程。研究结果表明,随着基底角从 0°增大到 90°,层状砂岩的单轴压缩强度和弹性模量明显下降,然后略有上升,最后再次下降。相应的破坏模式从劈裂拉伸破坏过渡到滑动剪切破坏,然后又回到劈裂拉伸破坏。从模量的衰减来看,破坏特征可分为四个阶段:初始无破坏、破坏开始、破坏加速和破坏减速终止。基于 Logistic 方程的理论损伤模型可有效模拟和预测整个损伤演变过程。此外,理论构成模型曲线与单轴压缩下层状砂岩的实际应力-应变曲线非常吻合。引入的构成模型简洁明了,参数较少,参数确定过程简单,物理解释清晰。这项研究为层状岩石力学理论提供了宝贵的见解,对确保岩石工程安全具有重要意义。
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引用次数: 0
Ground response and failure mechanism of gob-side entry by roof cutting with hard main roof 硬质主顶板切割鹅卵石侧进的地面响应和破坏机理
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5695-3
Heng-zhong Zhu, Lei Xu, Zhi-jie Wen

This study is the result of long-term efforts of the authors’ team to assess ground response of gob-side entry by roof cutting (GSERC) with hard main roof, aiming at scientific control for GSERC deformation. A comprehensive field measurement program was conducted to determine entry deformation, roof fracture zone, and anchor bolt (cable) loading. The results indicate that GSERC deformation presents asymmetric characteristics. The maximum convergence near roof cutting side is 458 mm during the primary use process and 1120 mm during the secondary reuse process. The entry deformation is closely associated with the primary development stage, primary use stage, and secondary reuse stage. The key block movement of roof cutting structure, a complex stress environment, and a mismatch in the supporting design scheme are the failure mechanism of GSERC. A controlling ideology for mining states, including regional and stage divisions, was proposed. Both dynamic and permanent support schemes have been implemented in the field. Engineering practice results indicate that the new support scheme can efficiently ensure long-term entry safety and could be a reliable approach for other engineering practices.

本研究是作者团队长期努力的成果,旨在评估硬质主顶板鹅卵石侧进入顶板(GSERC)的地面响应,对 GSERC 变形进行科学控制。我们开展了一项全面的实地测量计划,以确定入口变形、顶板断裂带和锚栓(缆索)荷载。结果表明,金沙江河谷地下水自动监测中心的变形呈现非对称特征。在一次使用过程中,靠近屋顶切割侧的最大汇聚量为 458 毫米,而在二次再使用过程中为 1120 毫米。入口变形与一级开发阶段、一级使用阶段和二级重复使用阶段密切相关。顶板切割结构的关键块体移动、复杂的应力环境以及支护设计方案的不匹配是 GSERC 的失效机理。提出了采矿状态的控制思想,包括区域和阶段划分。动态和永久支护方案均已在现场实施。工程实践结果表明,新的支护方案可有效确保长期进场安全,并可作为其他工程实践的可靠方法。
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引用次数: 0
Bearing mechanism of roof and rib support structure in automatically formed roadway and its support design method 自动成型巷道顶板和肋板支护结构的支承机理及其支护设计方法
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5678-4
Bei Jiang, Ming-zi Wang, Qi Wang, Zhong-xin Xin, Xue-yang Xing, Yu-song Deng, Liang-di Yao

Non-pillar mining technology with automatically formed roadway is a new mining method without coal pillar reservation and roadway excavation. The stability control of automatically formed roadway is the key to the successful application of the new method. In order to realize the stability control of the roadway surrounding rock, the mechanical model of the roof and rib support structure is established, and the influence mechanism of the automatically formed roadway parameters on the compound force is revealed. On this basis, the roof and rib support structure technology of confined lightweight concrete is proposed, and its mechanical tests under different eccentricity are carried out. The results show that the bearing capacity of confined lightweight concrete specimens is basically the same as that of ordinary confined concrete specimens. The bearing capacity of confined lightweight concrete specimens under different eccentricities is 1.95 times higher than those of U-shaped steel specimens. By comparing the test results with the theoretical calculated results of the confined concrete, the calculation method of the bearing capacity for the confined lightweight concrete structure is selected. The design method of confined lightweight concrete support structure is established, and is successfully applied in the extra-large mine, Ningtiaota Coal Mine, China.

自动成巷无煤柱开采技术是一种无煤柱预留和巷道掘进的新型开采方法。自动成型巷道的稳定性控制是新方法成功应用的关键。为实现巷道围岩的稳定性控制,建立了顶板与肋板支护结构的力学模型,揭示了自动成巷参数对复合力的影响机理。在此基础上,提出了约束轻质混凝土顶板与肋板支护结构技术,并对其进行了不同偏心率下的力学试验。结果表明,约束轻质混凝土试件的承载力与普通约束混凝土试件基本相同。不同偏心率下约束轻质混凝土试件的承载力是 U 型钢试件的 1.95 倍。通过试验结果与约束混凝土理论计算结果的对比,筛选出约束轻质混凝土结构承载力的计算方法。建立了约束轻质混凝土支护结构的设计方法,并成功应用于中国特大型矿井宁条塔煤矿。
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引用次数: 0
Blasting induced dynamic stress concentration and failure characteristics of deep-buried rock tunnel 爆破引起的动态应力集中和深埋岩石隧道的破坏特征
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5737-x
Rui Zhao, Ming Tao, Gong-liang Xiang, Shao-feng Wang, Hua-tao Zhao

In this study, the dynamic stress concentration factors (DSCF) around a straight-wall arch tunnel (SWAT) were solved analytically utilizing the complex variable function methods and Duhamel’s integral. The effects of wavelength, incident angle, and blasting rising time on the DSCF distribution were analyzed. Theoretical results pointed out dynamic disturbances resulting in compressive stress concentration in the vertical direction and tensile stress in the incident direction. As the wavelength and rising time increased, there was a tendency for the amplitude of stress concentration to initially rise and then converge. Moreover, a series of 3D FEM models were established to evaluate the effect of different initial stress states on the dynamic failure of the tunnel surrounding rock. The results indicated that the failure of the surrounding rock was significantly influenced by the direction of the static maximum principal stress and the direction of the dynamic disturbance. Under the coupling of static and blasting loading, damage around the tunnel was more prone to occur in the dynamic and static stress concentration coincidence zone. Finally, the damage modes of rock tunnel under static stress and blasting disturbance from different directions were summarized and a proposed support system was presented. The results reveal the mechanisms of deep-buried rock tunnel destruction and dynamically triggered rockburst.

本研究利用复变函数法和杜哈梅尔积分法对直墙拱隧道(SWAT)周围的动态应力集中系数(DSCF)进行了分析求解。分析了波长、入射角和爆破上升时间对 DSCF 分布的影响。理论结果表明,动态扰动导致垂直方向的压应力集中和入射方向的拉应力集中。随着波长和上升时间的增加,应力集中的振幅有先上升后收敛的趋势。此外,还建立了一系列三维有限元模型,以评估不同初始应力状态对隧道围岩动态破坏的影响。结果表明,围岩的破坏受静态最大主应力方向和动态扰动方向的显著影响。在静载荷和爆破载荷的耦合作用下,隧道周围的破坏更容易发生在动静应力集中重合区。最后,总结了岩石隧道在不同方向的静应力和爆破扰动作用下的破坏模式,并提出了一种建议的支护系统。结果揭示了深埋岩石隧道破坏和动态触发岩爆的机理。
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引用次数: 0
Effects of frothers on bubbles size and flotation performance of hydrophobic minerals 浮选剂对疏水性矿物的气泡大小和浮选性能的影响
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5685-5
Gülşah Güven, Berivan Tunç, Ş. Beste Aydin, Gülay Bulut

Frothers facilitate the reduction of bubbles size by preventing bubbles coalescence and produce more stable froths. The collision probability of the bubbles and particles substantially increases by decreasing bubble size. For the same volume system, fewer bubbles result from a distribution of large-sized bubbles, and more bubbles result from a distribution of small-sized bubbles. In this research, fundamental two-phase frother characterization parameters were aimed to link with three-phase coal and talc flotation behavior. For this purpose, the effect of single and dual frother systems on inhibiting bubble coalescence was investigated with methyl isobutyl carbinol (MIBC), isooctanol (2 ethyl hexanol), pine oil, and Dowfroth 250. Based on the results of single frothers, isooctanol at the lowest critical coalescence concentration (CCC) value of 6×10−6 achieved the smallest bubbles with Sauter mean diameter of 0.80 mm. By blending Dowfroth 250 and pine oil, the bubbles size decreased significantly, reaching 0.45 mm. While the highest recoveries in coal flotation were obtained in single and frother blends where the bubbles size was measured as the smallest in two-phase system, and such a relationship was not found for talc flotation.

发泡剂通过防止气泡凝聚来缩小气泡尺寸,并产生更稳定的泡沫。气泡尺寸减小,气泡和颗粒的碰撞概率也会大大增加。对于相同体积的体系,大气泡分布产生的气泡更少,而小气泡分布产生的气泡更多。在这项研究中,基本的两相泡沫特性参数旨在与三相煤和滑石浮选行为联系起来。为此,使用甲基异丁基甲醇(MIBC)、异辛醇(2 乙基己醇)、松油和 Dowfroth 250 研究了单泡沫剂和双泡沫剂系统对抑制气泡凝聚的影响。根据单一发泡剂的结果,异辛醇在最低临界凝聚浓度(CCC)值 6×10-6 时产生的气泡最小,萨特平均直径为 0.80 毫米。通过混合 Dowfroth 250 和松油,气泡尺寸显著减小,达到 0.45 毫米。煤炭浮选的最高回收率是在单一和混合泡沫剂中获得的,在两相系统中测量的气泡尺寸最小,而滑石浮选则没有发现这种关系。
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引用次数: 0
Performance of water-coupled charge blasting under different in-situ stresses 不同原位应力下水耦合装药爆破的性能
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5623-6
Zi-long Zhou, Zhen Wang, Rui-shan Cheng, Xin Cai, Ri-yan Lan

Water-coupled charge blasting is a promising technique to efficiently break rock masses. In this study, numerical models of double boreholes with water-coupled charge are established using LS-DYNA and are calibrated by the tests of rock masses subjected to explosion loads to examine its performance. The crack levels of rock mass induced by water-coupled charge blasting and air-coupled charge blasting are first compared. It is found that water-coupled charge blasting is more appropriate to fracture deep rock mass than air-coupled charge blasting. In addition, the effects of rock properties, water-coupled charge coefficients, and borehole connection angles on the performance of water-coupled charge blasting are investigated. The results show that rock properties and water-coupled charge coefficients can greatly influence the crack and fragmentation levels of rock mass induced by water-coupled charge blasting under uniform and non-uniform in-situ stresses. However, changing borehole-connection angles can only affect crack and fragmentation levels of rock mass under non-uniform in-situ stresses but barely affect those under uniform in-situ stresses. A formula is finally proposed by considering the above-mentioned factors to provide the design suggestion of water-coupled charge blasting to fracture rock mass with different in-situ stresses.

水耦合装药爆破是一种有效破碎岩体的可行技术。本研究利用 LS-DYNA 建立了水耦合装药双孔爆破的数值模型,并通过承受爆炸荷载的岩体试验对其性能进行了校核。首先比较了水耦合装药爆破和空气耦合装药爆破诱发岩体裂缝的程度。结果发现,水耦合装药爆破比空气耦合装药爆破更适合于深部岩体的破裂。此外,还研究了岩石性质、水耦合装药系数和钻孔连接角度对水耦合装药爆破性能的影响。结果表明,在均匀和非均匀原位应力条件下,岩石性质和水耦合装药系数对水耦合装药爆破诱发的岩体裂缝和破碎程度有很大影响。然而,改变钻孔连接角只能影响非均匀原位应力下岩体的裂缝和破碎程度,而几乎不影响均匀原位应力下岩体的裂缝和破碎程度。通过考虑上述因素,最终提出了水耦合装药爆破对不同原位应力岩体破裂的设计建议公式。
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引用次数: 0
Microstructural, wettability, and corrosion behaviour of TiO2 thin film sputtered on aluminium 铝上溅射 TiO2 薄膜的微结构、润湿性和腐蚀行为
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5703-7
Rajeev Verma, Vijay Kumar, Saurabh Kango, Amindra Khilla, Rajeev Gupta

The study investigated the application of radiofrequency (RF)-sputtered TiO2 coatings at various temperatures to enhance the hydrophobicity and corrosion resistance of Al6061 alloy. The research aimed to establish a correlation between the coating process and the resulting surface properties. Surface roughness and wettability were quantified with a surface profilometer and goniometer. Additionally, chemical boiling and salt spray corrosion tests were conducted to evaluate any topographical changes during these procedures. The analysis further involved the use of field-emission scanning electron microscopy (FESEM), energy-dispersive spectroscopy (EDS), and X-ray diffraction (XRD) techniques to characterize the deposited coatings. The findings indicated that the TiO2 coating applied at 500 °C exhibited the highest water contact angle and superior corrosion resistance compared to other temperatures. Surface characterization confirmed that this specific TiO2 coating at 500 °C effectively delays corrosion due to its hydrophobic behavior, making it durable for industrial applications.

该研究调查了在不同温度下应用射频(RF)溅射 TiO2 涂层来增强 Al6061 合金的疏水性和耐腐蚀性的情况。研究旨在建立涂层工艺与所产生的表面特性之间的相关性。使用表面轮廓仪和测角仪对表面粗糙度和润湿性进行了量化。此外,还进行了化学沸腾和盐雾腐蚀试验,以评估这些过程中的任何地形变化。分析还进一步使用了场发射扫描电子显微镜(FESEM)、能量色散光谱(EDS)和 X 射线衍射(XRD)技术来表征沉积涂层。研究结果表明,与其他温度相比,在 500 °C 下涂敷的 TiO2 涂层具有最高的水接触角和优异的耐腐蚀性。表面表征证实,这种特定的 500 °C TiO2 涂层由于具有疏水性,因此能有效延缓腐蚀,使其在工业应用中经久耐用。
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引用次数: 0
Shear mechanical properties and frictional sliding responses of rough joint surfaces under dynamic normal displacement conditions 动态法向位移条件下粗糙接合面的剪切机械特性和摩擦滑动响应
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5697-1
Qiang Zhu, Qian Yin, Zhi-gang Tao, Man-chao He, Bo-wen Zheng, Hong-wen Jing, Shu-lin Ren, Qiang Zhang, Bo Meng, Dong-feng Bai, Sai-sai Wu, Jiang-yu Wu

A comprehensive understanding of the dynamic frictional characteristics in rock joints under high normal load and strong confinement is essential for ensuring the safety of deep engineering construction and mitigating geological disasters. This study conducted shear experiments on rough rock joints under displacement-controlled dynamic normal loads, investigating the shear behaviors of joints across varying initial normal loads, normal loading frequencies, and normal loading amplitudes. Experimental results showed that the peak/valley shear force values increased with initial normal loads and normal loading frequencies but showed an initial increase followed by a decrease with normal loading amplitudes. Dynamic normal loading can either increase or decrease shear strength, while this study demonstrates that higher frequencies lead to enhanced friction. Increased initial normal loading and normal loading frequency result in a gradual decrease in joint roughness coefficient (JRC) values of joint surfaces after shearing. Positive correlations existed between frictional energy dissipation and peak shear forces, while post-shear joint surface roughness exhibited a negative correlation with peak shear forces through linear regression analysis. This study contributes to a better understanding of the sliding responses and shear mechanical characteristics of rock joints under dynamic disturbances.

全面了解高法向荷载和强约束条件下岩石节理的动态摩擦特性,对于确保深部工程施工安全和减轻地质灾害至关重要。本研究进行了位移控制动态法向载荷下粗糙岩石节理的剪切实验,研究了不同初始法向载荷、法向载荷频率和法向载荷振幅下节理的剪切行为。实验结果表明,峰值/谷值剪力值随着初始法向载荷和法向载荷频率的变化而增加,但随着法向载荷振幅的变化,峰值/谷值剪力值先增加后减小。动态法向载荷既可以增加剪切强度,也可以降低剪切强度,而本研究表明,频率越高,摩擦力越大。增加初始法向加载和法向加载频率会导致剪切后接合面的接合粗糙度系数(JRC)值逐渐降低。摩擦能量耗散与峰值剪切力之间存在正相关,而通过线性回归分析,剪切后的接合面粗糙度与峰值剪切力呈负相关。这项研究有助于更好地理解岩石节理在动态扰动下的滑动响应和剪切机械特性。
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引用次数: 0
Influencing factors analysis of hard limestone reformation and strength weakening under acidic effect 酸性作用下硬质石灰石变形和强度减弱的影响因素分析
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5735-z
Ming-xiao Hou, Bing-xiang Huang, Xing-long Zhao, Xue-jie Jiao, Chen-yang Zheng

Roof disaster has always been an important factor restricting coal mine safety production. Acidic effect can reform the rock mass structure to weaken the macroscopic strength characteristics, which is an effective way to control the hard limestone roof. In this study, the effects of various factors on the reaction characteristics and mechanical properties of limestone were analyzed. The results show that the acid with stronger hydrogen production capacity after ionization (pKa<0) has more prominent damage to the mineral grains of limestone. When pKa increases from −8.00 to 15.70, uniaxial compressive strength and elastic modulus of limestone increase by 117.22% and 75.98%. The influence of acid concentration is manifested in the dissolution behavior of mineral crystals, the crystal defects caused by large-scale acid action will lead to the deterioration of limestone strength, and the strength after 15% concentration reformation can be reduced by 59.42%. The effect of acidification time on limestone has stages and is the most obvious in the initial metathesis reaction stage (within 60 min). The key to the strength damage of acidified limestone is the participation of hydrogen ions in the reaction system. Based on the analytic hierarchy process method, the influence weights of acid type, acid concentration and acidification time on strength are 24.30%, 59.54% and 16.16%, respectively. The research results provide theoretical support for the acidification control of hard limestone roofs in coal mines.

顶板灾害一直是制约煤矿安全生产的重要因素。酸性作用可以改造岩体结构,削弱宏观强度特征,是控制石灰岩硬顶的有效途径。本研究分析了各种因素对石灰石反应特性和力学性能的影响。结果表明,电离后产氢能力较强(pKa<0)的酸对石灰石矿粒的破坏更为突出。当 pKa 从 -8.00 增加到 15.70 时,石灰石的单轴抗压强度和弹性模量分别增加了 117.22% 和 75.98%。酸浓度的影响表现在矿物晶体的溶解行为上,大规模酸作用造成的晶体缺陷会导致石灰石强度下降,15%浓度改造后强度可降低59.42%。酸化时间对石灰石的影响具有阶段性,在初始偏析反应阶段(60 min 内)最为明显。酸化石灰石强度破坏的关键在于反应体系中氢离子的参与。根据层次分析法,酸类型、酸浓度和酸化时间对强度的影响权重分别为 24.30%、59.54% 和 16.16%。研究结果为煤矿硬质石灰岩顶板的酸化控制提供了理论支持。
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引用次数: 0
A novel refined dynamic model of high-speed maglev train-bridge coupled system for random vibration and running safety assessment 用于随机振动和运行安全评估的高速磁悬浮列车-桥梁耦合系统新型精细动态模型
IF 4.4 2区 材料科学 Q1 METALLURGY & METALLURGICAL ENGINEERING Pub Date : 2024-08-13 DOI: 10.1007/s11771-024-5671-y
Jian-feng Mao, Dao-hang Li, Zhi-wu Yu, Wen-feng Cai, Wei Guo, Guang-wen Zhang

Running safety assessment and tracking irregularity parametric sensitivity analysis of high-speed maglev train-bridge system are of great concern, especially need perfect refinement models in which all properties can be well characterized based on various stochastic excitations. A three-dimensional refined spatial random vibration analysis model of high-speed maglev train-bridge coupled system is established in this paper, in which multi-source uncertainty excitation can be considered simultaneously, and the probability density evolution method (PDEM) is adopted to reveal the system-specific uncertainty dynamic characteristic. The motion equation of the maglev vehicle model is composed of multi-rigid bodies with a total 210-degrees of freedom for each vehicle, and a refined electromagnetic force-air gap model is used to account for the interaction and coupling effect between the moving train and track beam bridges, which are directly established by using finite element method. The model is proven to be applicable by comparing with Monte Carlo simulation. By applying the proposed stochastic framework to the high maglev line, the random dynamic responses of maglev vehicles running on the bridges are studied for running safety and stability assessment. Moreover, the effects of track irregularity wavelength range under different amplitude and running speeds on the coupled system are investigated. The results show that the augmentation of train speed will move backward the sensitive wavelength interval, and track irregularity amplitude influences the response remarkably in the sensitive interval.

高速磁悬浮列车-桥梁系统的运行安全评估和轨迹不规则性参数敏感性分析备受关注,尤其需要基于各种随机激励的完善的细化模型,以充分表征其各项特性。本文建立了高速磁悬浮列车-桥梁耦合系统的三维精细化空间随机振动分析模型,可同时考虑多源不确定性激励,并采用概率密度演化法(PDEM)揭示系统特有的不确定性动态特性。磁悬浮列车模型的运动方程由多刚体组成,每辆车共有 210 个自由度,并采用细化的电磁力-空气间隙模型来考虑动车组与轨道梁桥之间的相互作用和耦合效应,直接用有限元方法建立。通过与蒙特卡罗模拟进行比较,证明了该模型的适用性。通过将所提出的随机框架应用于高架磁悬浮线路,研究了磁悬浮列车在桥梁上运行的随机动态响应,以进行运行安全性和稳定性评估。此外,还研究了不同振幅和运行速度下轨道不规则波长范围对耦合系统的影响。结果表明,列车速度的增加会使敏感波长区间后移,轨道不规则振幅对敏感区间内的响应影响显著。
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