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Keywords = finite projective space

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23 pages, 6798 KB  
Article
Feasibility and Optimization Study on the Replacement of Core Rock Columns with Temporary Steel Supports in the Construction of Large-Section Subway Tunnels in Interbedded Rock Masses
by Dunwen Liu, Yupeng Zhang, Jimin Zhong and Yuhui Jin
Appl. Sci. 2025, 15(17), 9616; https://doi.org/10.3390/app15179616 - 31 Aug 2025
Viewed by 275
Abstract
With the development of subway transportation, how to excavate large-section tunnels and find more convenient and reliable support methods has become an issue that cannot be ignored. This paper addresses issues such as low construction efficiency of core rock columns during the construction [...] Read more.
With the development of subway transportation, how to excavate large-section tunnels and find more convenient and reliable support methods has become an issue that cannot be ignored. This paper addresses issues such as low construction efficiency of core rock columns during the construction of large-section subway tunnels in sandstone–mudstone interbedded geological conditions. It proposes an optimized support scheme that replaces traditional core rock columns with temporary steel supports (steel columns). Finite element analysis was used to compare the deformation of the surrounding rock when retaining the core rock columns, using temporary steel columns to replace the core rock columns, and not providing additional support. Five interlayer positions and four interlayer angles were analyzed to identify the most dangerous geological conditions. Based on this analysis, the reasonable spacing of the temporary steel columns was investigated. The results indicate that temporary steel columns and core rock columns can effectively reduce vertical deformation of the surrounding rock, with steel columns showing slightly better results. Replacing core rock columns with steel columns is feasible. To control tunnel rock mass deformation, this project should ensure that the spacing between temporary steel columns is maintained between 21.88 m and 56.80 m. However, in construction sections with good rock mass conditions, the spacing can be extended as long as safety is ensured. Full article
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33 pages, 6091 KB  
Article
Performance-Based Seismic Evaluation of Local Staggered RC Frames with Steel Tube-Reinforced Concrete Columns Under Multi-Angle Earthquakes
by Shuyun Zhang, Long Guo, Lihua Ge, En Wang and Junfu Tong
Appl. Sci. 2025, 15(16), 9092; https://doi.org/10.3390/app15169092 - 18 Aug 2025
Viewed by 454
Abstract
Staggered floor frame structures with good spatial adaptability are widely used in large-space civil buildings such as conference halls and terminal buildings. However, the short columns formed by staggered floor slabs significantly affect load transfer, which is unfavorable to the seismic performance of [...] Read more.
Staggered floor frame structures with good spatial adaptability are widely used in large-space civil buildings such as conference halls and terminal buildings. However, the short columns formed by staggered floor slabs significantly affect load transfer, which is unfavorable to the seismic performance of the structure. To address this issue, based on a practical project, this paper establishes a finite element analysis model, sets up steel-tube-reinforced concrete (ST-RC) columns at staggered floors to improve the insufficient ductility of short columns, and adopts the dynamic time–history analysis method combined with performance-based evaluation methods to study the effects of different seismic input angles (0°, 30°, 60°, 90°) on the seismic performance of local staggered floor frame structures at both the overall and member levels. The research results show that at the overall level, the fourth floor of the staggered floor frame structure is the weak floor, and the most unfavorable seismic input angle is 60°; additionally, at the member level, the damage of each member meets the performance objectives. Frame beams are more severely damaged under 0° and 90° seismic input, frame columns are more severely damaged under 30° and 60° seismic input, and the damage degree of ST-RC columns is similar in the four directions. As energy-dissipating members, frame beams have a significantly higher proportion of nonlinear strain energy than frame columns and ST-RC columns, which can effectively consume a large amount of seismic energy and enable the structure to retain more safety reserves. Therefore, for irregular buildings such as staggered floor frame structures that are prone to damage due to insufficient ductility of short columns, setting ST-RC columns at staggered floors can effectively reduce structural damage. The adoption of evaluation methods at both the overall structural and member levels enables a comprehensive understanding of the damage status of staggered floor structures. Full article
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16 pages, 4733 KB  
Article
Vibratory Pile Driving in High Viscous Soil Layers: Numerical Analysis of Penetration Resistance and Prebored Hole of CEL Method
by Caihui Li, Changkai Qiu, Xuejin Liu, Junhao Wang and Xiaofei Jing
Buildings 2025, 15(15), 2729; https://doi.org/10.3390/buildings15152729 - 2 Aug 2025
Viewed by 394
Abstract
High-viscosity stratified strata, characterized by complex geotechnical properties such as strong cohesion, low permeability, and pronounced layered structures, exhibit significant lateral friction resistance and high-end resistance during steel sheet pile installation. These factors substantially increase construction difficulty and may even cause structural damage. [...] Read more.
High-viscosity stratified strata, characterized by complex geotechnical properties such as strong cohesion, low permeability, and pronounced layered structures, exhibit significant lateral friction resistance and high-end resistance during steel sheet pile installation. These factors substantially increase construction difficulty and may even cause structural damage. This study addresses two critical mechanical challenges during vibratory pile driving in Fujian Province’s hydraulic engineering project: prolonged high-frequency driving durations, and severe U-shaped steel sheet pile head damage in high-viscosity stratified soils. Employing the Coupled Eulerian–Lagrangian (CEL) numerical method, a systematic investigation was conducted into the penetration resistance, stress distribution, and damage patterns during vibratory pile driving under varying conditions of cohesive soil layer thickness, predrilled hole spacing, and aperture dimensions. The correlation between pile stress and penetration depth was established, with the influence mechanisms of key factors on driving-induced damage in high-viscosity stratified strata under multi-factor coupling effects elucidated. Finally, the feasibility of predrilling techniques for resistance reduction was explored. This study applies the damage prediction model based on the CEL method to U-shaped sheet piles in high-viscosity stratified formations, solving the problem of mesh distortion in traditional finite element methods. The findings provide scientific guidance for steel sheet pile construction in high-viscosity stratified formations, offering significant implications for enhancing construction efficiency, ensuring operational safety, and reducing costs in such challenging geological conditions. Full article
(This article belongs to the Section Building Structures)
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25 pages, 9567 KB  
Article
Mechanical Characterization and Theoretical Study of Friction Pile Groups in Coastal Areas Based on Finite Element Analysis
by Jun Wu, Yanfeng Li, Jia Zhao, Guangzuo Feng, Yuanhui Li, Jialong Li and Jiaxu Jin
Buildings 2025, 15(14), 2556; https://doi.org/10.3390/buildings15142556 - 20 Jul 2025
Viewed by 297
Abstract
Field foundation pile loading tests were conducted in the context of an actual bridge pile foundation project. The test data were analyzed to determine the reasons for the variation in the complex geological conditions of the seashore. Moreover, finite element analysis was conducted [...] Read more.
Field foundation pile loading tests were conducted in the context of an actual bridge pile foundation project. The test data were analyzed to determine the reasons for the variation in the complex geological conditions of the seashore. Moreover, finite element analysis was conducted to evaluate the influence of pile length and diameter on the settlement of coastal friction foundation piles. Increasing the pile length from 65 m to 75 m reduced the settlement by 25.7%, while increasing the diameter from 1.5 m to 2.0 m led to a 35.9% reduction. Increasing the pile spacing reduced the amount of structural settlement. Group pile foundation pile spacings should be 2.5–3.0 D. Pile group superposition reduced the most obvious effects and the settlement reduction rate was the fastest. Under seismic conditions, the pile group foundation exhibited 5.60 times greater horizontal displacement, 3.57 times higher bending moment, and 5.30 times increased shear force relative to static loading. The formula for predicting the settlement of oversized friction pile group foundations was modified based on settlement values calculated using finite elements. The revised formula is suitable for calculating the settlement of friction pile group foundations in coastal areas. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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16 pages, 278 KB  
Article
Maximal Norms of Orthogonal Projections and Closed-Range Operators
by Salma Aljawi, Cristian Conde, Kais Feki and Shigeru Furuichi
Symmetry 2025, 17(7), 1157; https://doi.org/10.3390/sym17071157 - 19 Jul 2025
Viewed by 390
Abstract
Using the Dixmier angle between two closed subspaces of a complex Hilbert space H, we establish the necessary and sufficient conditions for the operator norm of the sum of two orthogonal projections, PW1 and PW2, onto closed [...] Read more.
Using the Dixmier angle between two closed subspaces of a complex Hilbert space H, we establish the necessary and sufficient conditions for the operator norm of the sum of two orthogonal projections, PW1 and PW2, onto closed subspaces W1 and W2, to attain its maximum, namely PW1+PW2=2. These conditions are expressed in terms of the geometric relationship and symmetry between the ranges of the projections. We apply these results to orthogonal projections associated with a closed-range operator via its Moore–Penrose inverse. Additionally, for any bounded operator T with closed range in H, we derive sufficient conditions ensuring TT+TT=2, where T denotes the Moore–Penrose inverse of T. This work highlights how symmetry between operator ranges and their algebraic structure governs norm extremality and extends a recent finite-dimensional result to the general Hilbert space setting. Full article
(This article belongs to the Special Issue Mathematics: Feature Papers 2025)
18 pages, 6111 KB  
Article
Mechanical Response Analysis of Semi-Detached Movable Roof and Optimization of Subrail Foundation Reinforcement
by Ziguang Zhang, Ankang Hu, Xiaopeng Li, Shuai Kang and Cheng Zhang
Buildings 2025, 15(13), 2217; https://doi.org/10.3390/buildings15132217 - 24 Jun 2025
Viewed by 358
Abstract
Ground-based movable roof construction offers advantages such as flexible adjustment, energy conservation, environmental protection, improved comfort, structural stability, and high space utilization. However, it faces technical challenges such as complex structure, high cost, and high maintenance expenses. This paper, based on the practical [...] Read more.
Ground-based movable roof construction offers advantages such as flexible adjustment, energy conservation, environmental protection, improved comfort, structural stability, and high space utilization. However, it faces technical challenges such as complex structure, high cost, and high maintenance expenses. This paper, based on the practical experience of the Hainan Lingshui Swimming Pool project, uses numerical calculations to analyze the mechanical characteristics of a ground-based movable roof’s track beam and roof structure. The results show that by using a two-point lifting method based on the center of gravity and structural characteristics, finite element simulations indicate that the top of the inverted L-shaped main beam deflects upward by 0.27 cm, and the cantilever end deflects downward by 2.08 cm. Under the combination of dead load + live load, the semi-ground-based roof has a mid-span deflection of 70 mm, with linear and nonlinear stability safety factors of 5.9 and 3.2, respectively. After optimizing the track beam, the deformation at 15 m did not meet the requirements, and the cost at 20 m was too high. Ultimately, a pile length of 18 m was selected. Full article
(This article belongs to the Section Building Structures)
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17 pages, 322 KB  
Review
Arcs, Caps and Generalisations in a Finite Projective Space
by James W. P. Hirschfeld and Joseph A. Thas
Mathematics 2025, 13(9), 1489; https://doi.org/10.3390/math13091489 - 30 Apr 2025
Viewed by 413
Abstract
Arcs and caps are fundamental structures in finite projective spaces. They can be generalised. Here, a survey is given of some important results on these objects, in particular on generalised ovals and generalised ovoids. This paper also contains recent results and several open [...] Read more.
Arcs and caps are fundamental structures in finite projective spaces. They can be generalised. Here, a survey is given of some important results on these objects, in particular on generalised ovals and generalised ovoids. This paper also contains recent results and several open problems. Full article
(This article belongs to the Section B: Geometry and Topology)
30 pages, 19640 KB  
Article
Analysis of Deformation of Deep and Large Foundation Pit Support Structure and Impact on Neighbouring Buildings in Complex Environments
by Chao Guo, Xiaodong Yang, Chengchao Guo and Pengfei Li
Buildings 2025, 15(9), 1435; https://doi.org/10.3390/buildings15091435 - 24 Apr 2025
Viewed by 614
Abstract
The development trend of urban underground space towards deep and large three-dimensional foundation pit projects in complex environments faces the challenges of deformation and instability of supporting structures, strong sensitivity of the surrounding environment, and significant limitations of the traditional design theory. Based [...] Read more.
The development trend of urban underground space towards deep and large three-dimensional foundation pit projects in complex environments faces the challenges of deformation and instability of supporting structures, strong sensitivity of the surrounding environment, and significant limitations of the traditional design theory. Based on the ultra-long/deep foundation pit project at the Shenzhen Airport East Station, a refined three-dimensional finite element simulation is used to systematically study the deformation mechanism of the supporting structures of deep and large foundation pits under a complex environment and investigate the influence on the neighbouring buildings. In this study, a three-dimensional finite element model is constructed considering the soil–structure coupling effect, and the mechanical response law of the foundation pit under the compliant–inverse combination method is revealed. Based on ABAQUS 6.14, a 10 m wide strip-shaped model of the central island area and an environmental risk source model including an underground station and group pile foundation are established. The analysis shows the following: the lateral shift in the ground wall is distributed in a ‘convex belly’ shape, with a maximum displacement of 29.98 mm; the pit bottom is raised in the shape of the bottom of a rebutted pot, and the settlement behind the wall has an effect ranging up to 3.8 times the depth of the excavation; the lateral shift in the side wall of the neighbouring underground station and the differential settlement of the group piles validate the predictive ability of the model on the complex-environment coupling effect. The research results can provide guidance for the design and construction of support structure projects and similar projects. Full article
(This article belongs to the Section Building Structures)
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21 pages, 375 KB  
Article
Weak Identification Robust Tests for Subvectors Using Implied Probabilities
by Marine Carrasco and Saraswata Chaudhuri
Entropy 2025, 27(4), 396; https://doi.org/10.3390/e27040396 - 8 Apr 2025
Viewed by 470
Abstract
This paper develops tests for hypotheses concerning subvectors of parameters in models defined by moment conditions. It is well known that conventional tests such as Wald, Likelihood-ratio and Score tests tend to over-reject when the identification is weak. To prevent uncontrolled size distortion [...] Read more.
This paper develops tests for hypotheses concerning subvectors of parameters in models defined by moment conditions. It is well known that conventional tests such as Wald, Likelihood-ratio and Score tests tend to over-reject when the identification is weak. To prevent uncontrolled size distortion and introduce refined finite-sample performance, we extend the projection-based test to a modified version of the score test using implied probabilities obtained by information theoretic criteria. Our test is performed in two steps, where the first step reduces the space of parameter candidates, while the second one involves the modified score test mentioned earlier. We derive the asymptotic properties of this procedure for the entire class of Generalized Empirical Likelihood implied probabilities. Simulations show that the test has very good finite-sample size and power. Finally, we apply our approach to the veteran earnings and find a negative impact of the veteran status. Full article
(This article belongs to the Special Issue Maximum Entropy Principle and Applications)
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18 pages, 8814 KB  
Article
Interaction Analysis of the Synchronous Excavations of Deep Foundation Pit and Adjacent Underground Channel
by Hai Zhong, Liqun Zheng, Bo Liu, Tao Li and Bo Cao
Buildings 2025, 15(7), 1110; https://doi.org/10.3390/buildings15071110 - 29 Mar 2025
Viewed by 411
Abstract
Based on FLAC3D finite element analysis and field measurements, this paper studies the synchronous excavation of the deep foundation pit and the adjacent underground channel in the 17th section of the Beijing Metro Line 10 Phase II project. Due to the very tight [...] Read more.
Based on FLAC3D finite element analysis and field measurements, this paper studies the synchronous excavation of the deep foundation pit and the adjacent underground channel in the 17th section of the Beijing Metro Line 10 Phase II project. Due to the very tight schedule and deadline, an underground channel has been added between the double-arch tunnel and the deep foundation pit and excavated synchronously with the deep foundation pit. The minimum distance between the two excavations is 5 m. It was found that (1) the underground channel excavation destroys the intact structure of the soil around the channel and foundation pit on a larger scale, which affects the formation of soil arch behind the retaining pile and thus increases the lateral pile displacement, and the addition of anchor cables at the north and south sides of the foundation pit is not necessary; (2) if conditions permit, it is the safest to excavate the underground channel first and then the foundation pit; (3) the primary interaction spacing between the two adjacent excavations is the same depth as that of the foundation pit, and when the spacing increases to twice the depth of the foundation pit, there is basically no interaction; (4) compared with the solid and heavy soil, the adjacent existing underground channel is like a “hollow, elastic, light” tube and more sensitive to the foundation pit excavation, whose uplift and deformation rebound could exert a force on the surrounding soil and then enlarge the lateral displacement of the retaining pile. Full article
(This article belongs to the Section Building Structures)
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24 pages, 11186 KB  
Article
Application of Simulation Methods and Image Processing Techniques in Rock Blasting and Fragmentation Optimization
by Qing Yang, Qidong Gao, Yongsheng Jia, Haixiao Zhou, Xin Gao, Wei Jiang and Xiaobo Ma
Appl. Sci. 2025, 15(6), 3365; https://doi.org/10.3390/app15063365 - 19 Mar 2025
Viewed by 769
Abstract
Rock fragmentation is a key indicator for evaluating the effects of rock blasting and directly impacts subsequent excavation efficiency. However, predicting rock fragmentation outcomes is challenging due to the complex physical and chemical processes involved in explosive detonation. In this study, a simulation [...] Read more.
Rock fragmentation is a key indicator for evaluating the effects of rock blasting and directly impacts subsequent excavation efficiency. However, predicting rock fragmentation outcomes is challenging due to the complex physical and chemical processes involved in explosive detonation. In this study, a simulation and analysis method for rock blasting fragmentation effects was developed by integrating the finite element method with image processing technology. To validate the reliability of this method, onsite blasting experiments were conducted. Furthermore, the rock blasting parameter of blast hole spacing was optimized based on this proposed method. The results showed that explosive blasting processes vary depending on the charge. Specifically, using water as a decoupling medium led to better blasting outcomes compared to air-decoupled charges. Due to the directional effects along the cylindrical charge, the explosive loading on the blast hole wall first increases and then stabilizes. The method’s feasibility is supported by the good agreement between the gradation curves of rock fragments obtained through onsite sieving tests and simulations in the 50–300 mm range. Additionally, the approach was used to optimize blasting parameters, ensuring that the fragment size distribution curve met the project requirements. Overall, this method can be used for research and analysis of rock blasting fragmentation. Full article
(This article belongs to the Section Earth Sciences)
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12 pages, 14337 KB  
Proceeding Paper
The Payload Design of the CUbesat Solar Polarimeter (CUSP), for Space Weather and Solar Flares X-Ray Polarimetry
by Giovanni Lombardi, Sergio Fabiani, Ettore Del Monte, Emanuele Di Meo, Andrea Lopez, Marco Camponeschi, Marco E. Biancolini, Daniele Brienza, Immacolata Donnarumma, Silvia Natalucci, Andrea Terracciano and Emanuele Zaccagnino
Eng. Proc. 2025, 85(1), 37; https://doi.org/10.3390/engproc2025085037 - 11 Mar 2025
Viewed by 603
Abstract
The CUbesat Solar Polarimeter (CUSP) project is a CubeSat mission orbiting the Earth aimed to measure the linear polarization of solar flares in the hard X-ray band by means of a Compton scattering polarimeter. CUSP is a project in the framework of the [...] Read more.
The CUbesat Solar Polarimeter (CUSP) project is a CubeSat mission orbiting the Earth aimed to measure the linear polarization of solar flares in the hard X-ray band by means of a Compton scattering polarimeter. CUSP is a project in the framework of the Alcor Program of the Italian Space Agency aimed to develop new CubeSat missions. It is approved for a Phase B study. In this work we describe some design solutions adopted for the most important design drivers of the payload. In particular, we report on the payload preliminary multi-physical design, including an orbital thermal environment preliminary assessment and a implementation of the static/dynamic finite element analysis. Moreover, a method for topology optimization of relevant components is discussed. Full article
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13 pages, 313 KB  
Article
Rigidity of Holomorphically Projective Mappings of Kähler and Hyperbolic Kähler Spaces with Finite Complete Geodesics
by Josef Mikeš, Irena Hinterleitner, Patrik Peška and Lenka Vítková
Geometry 2025, 2(1), 3; https://doi.org/10.3390/geometry2010003 - 10 Mar 2025
Viewed by 1162
Abstract
In the paper, we consider holomorphically projective mappings of n-dimensional pseudo-Riemannian Kähler and hyperbolic Kähler spaces. We refined the fundamental linear equations of the above problems for metrics of differentiability class C2. We have found the conditions for n complete [...] Read more.
In the paper, we consider holomorphically projective mappings of n-dimensional pseudo-Riemannian Kähler and hyperbolic Kähler spaces. We refined the fundamental linear equations of the above problems for metrics of differentiability class C2. We have found the conditions for n complete geodesics and their image that must be satisfied for the holomorphically projective mappings to be trivial, i.e., these spaces are rigid with precision to affine mappings. Full article
18 pages, 7701 KB  
Article
Shear Failure Analysis of 3D Seven-Directional Braided Composites
by Bingnan Dang, Ju Tang, Yan Shang and Deng’an Cai
Coatings 2025, 15(2), 223; https://doi.org/10.3390/coatings15020223 - 13 Feb 2025
Cited by 1 | Viewed by 815
Abstract
According to the “four-step” braiding technique, this paper analyzed the movement laws of internal space yarns in the projection plane and in space, and established a 3D seven-direction braided composite material solid finite element model by combining the observed yarn directions on the [...] Read more.
According to the “four-step” braiding technique, this paper analyzed the movement laws of internal space yarns in the projection plane and in space, and established a 3D seven-direction braided composite material solid finite element model by combining the observed yarn directions on the surface and side of the preform. Based on the 3D Hashin criterion, a progressive damage failure analysis method was adopted to study the shear failure mechanism of 3D seven-direction braided composites. The effect of braided angles on the elastic properties and crack propagation path of the fabric was discussed. The failure modes and mechanisms of 3D seven-directional braided composites were also observed and analyzed by electron microscope and scanning electron microscope. The results show that the shear failure mode is mainly caused by matrix failure, interface damage, and fiber fracture and pull-out. The fiber cross-sections at the shear fracture surface are at a certain angle, indicating that the fibers are subjected to both transverse and axial stresses during the shear process. It also can be seen that the initial damage occurs at the interface between the matrix and the fiber bundle. As the crack propagates, tensile damage occurs inside the fiber bundle, forming cracks and eventually leading to the failure of the entire structure. The accuracy of proposed method for predicting 3D seven-directional braided composites was verified by the shear experimental results. Full article
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24 pages, 21297 KB  
Article
Analysis of Mechanical Behavior of Symmetric Prefabricated Bodies and Metal Connecting Components During Hoisting and Overturning in Assembly Structures
by Kedong Wang, Min Ma, Jiabo Wang, Ran Yang, Liyu Hu and Zhaoxing Luo
Symmetry 2025, 17(2), 196; https://doi.org/10.3390/sym17020196 - 27 Jan 2025
Viewed by 811
Abstract
Prefabricated assembly structures play a pivotal role in modern building construction and underground transit developments, offering benefits such as ease of installation, rapid construction, and environmental sustainability. These prefabricated assembly structures are always symmetric and particularly prevalent in projects like subway station construction, [...] Read more.
Prefabricated assembly structures play a pivotal role in modern building construction and underground transit developments, offering benefits such as ease of installation, rapid construction, and environmental sustainability. These prefabricated assembly structures are always symmetric and particularly prevalent in projects like subway station construction, where symmetry prefabricated blocks are commonly used. The hoisting and overturning of these blocks are crucial stages in the construction sequence. Given the substantial weight (tens of tons) and size (several meters) of these prefabricated elements, the materials and structural integrity of the metal components, including bolts and steel rods, must meet strict standards during these phases. To ensure stability during overturning and safety throughout hoisting, this paper utilizes a finite element model to analyze the hoisting and overturning of three prefabricated blocks used in subway station assembly. This paper investigates the mechanical behavior of embedded components, such as lifting lugs, steel liners, and hoisting steel rods, during these processes, analyzing their stress and strain. The selection methods of different steel bars (diameter, hollow, solid, etc.) in the hoisting process were obtained, and the operation speed in the hoisting and overturning process was determined, which guided the selection of the hoisting position when the common overturning action was known. The results offer valuable guidelines for the placement and spacing of lifting lugs, as well as the optimal hoisting speed, thereby informing the selection of embedded lifting lugs and the design of operational protocols in actual assembly construction. Full article
(This article belongs to the Section Engineering and Materials)
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