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Search Results (520)

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Keywords = assembling deformation

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19 pages, 3967 KB  
Article
Innovative Seismic Solutions for Precast Structures: Experimental and Numerical Studies on Beam–Column Joints
by Roberto Nascimbene and Davide Bellotti
Materials 2025, 18(21), 5049; https://doi.org/10.3390/ma18215049 - 6 Nov 2025
Abstract
This study presents a novel structural framing solution designed to improve seismic energy dissipation and limit displacements, aiming to serve as an effective alternative to traditional precast systems employing pendulum-based isolation. While pendulum mechanisms mitigate seismic forces by decoupling the superstructure from ground [...] Read more.
This study presents a novel structural framing solution designed to improve seismic energy dissipation and limit displacements, aiming to serve as an effective alternative to traditional precast systems employing pendulum-based isolation. While pendulum mechanisms mitigate seismic forces by decoupling the superstructure from ground motion, they are typically characterized by high implementation costs, mechanical complexity, and post-event maintenance challenges. In contrast, the proposed approach integrates seismic performance enhancements within the structural frame itself, removing the dependency on external isolation components. The system leverages a combination of pinned and semi-rigid beam-to-column joints that are tailored for use within dry precast construction technologies. These connection types not only support rapid and labor-efficient assembly but also, when properly detailed, offer robust hysteretic behavior and deformation control under dynamic loading. The research includes both experimental testing and numerical simulations focused on the cyclic response of these connections, enabling a comprehensive understanding of their role in dissipating energy and delaying damage progression. Recognizing the industry’s frequent emphasis on construction speed and upfront cost-efficiency, often at the cost of long-term reparability, this work introduces an alternative framework that emphasizes resilience without compromising construction practicality. The resulting system demonstrates improved post-earthquake functionality and reduced downtime, making it a promising and economically viable option for seismic applications in precast construction. This advancement supports current trends toward performance-based design and enhances the structural reliability of dry-assembled systems in seismic regions. Full article
(This article belongs to the Special Issue Study on Mechanical Properties of Concrete Structures and RC Beams)
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17 pages, 3405 KB  
Article
Design of a Semi-Robotic Knee Arthroscopy Support System Utilizing a Novel Ball Joint Braking Mechanism
by Thai Hua, Yuanli Bai, Anthony Quear, Siddhartha Aryal and Sang-Eun Song
Machines 2025, 13(11), 1014; https://doi.org/10.3390/machines13111014 - 3 Nov 2025
Viewed by 159
Abstract
To alleviate the poor ergonomics which surgeons suffer during knee arthroscopy, a semi-robotic device with a novel ball joint braking mechanism was designed for intra-operative assistance. A slit ball joint assembly was developed to transmit the clamping force to the arthroscope inside, and [...] Read more.
To alleviate the poor ergonomics which surgeons suffer during knee arthroscopy, a semi-robotic device with a novel ball joint braking mechanism was designed for intra-operative assistance. A slit ball joint assembly was developed to transmit the clamping force to the arthroscope inside, and the ball deformation and stress at various angles in relation to the vertical and clamping forces were recorded through finite element analysis (FEA) using Abaqus 2017. The contact forces between the scope and inner surfaces of the ball joint were computed at different clamping forces, and the von Mises stress occurring in the ball joint was found to be under the yield stress limit for polyethylene, with noticeable force preventing the scope from sliding along the ball through-hole under clamping. The ball joint braking mechanism was tested as part of a semi-robotic knee arthroscopy support system, and FEA simulation demonstrated that the maximum von Mises stress and the magnitude of contact forces positively correlated with the clamping force, while the stress incurred remained within the elastic range of the polyethylene prototype. Full article
(This article belongs to the Special Issue Design and Control of Surgical Robots)
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12 pages, 4083 KB  
Article
Development of Truss-Type Deployable Mesh Reflector Antenna, Part 1: 1.5 m-Scale Mesh Antenna
by ChulHyung Lee, DongGeon Kim, RyoonHo Do, SeungHyun Kim, GyeongHun Bae, KyungRae Koo, YoonPyo Lee and InO Jung
Appl. Sci. 2025, 15(21), 11529; https://doi.org/10.3390/app152111529 - 28 Oct 2025
Viewed by 239
Abstract
This study is an initial study for the development of a large truss-type deployable mesh antenna, and it involved the development process of a 1.5 m-scale deployable mesh antenna. The geometric characteristics of the reflector were considered for the initial net design. Based [...] Read more.
This study is an initial study for the development of a large truss-type deployable mesh antenna, and it involved the development process of a 1.5 m-scale deployable mesh antenna. The geometric characteristics of the reflector were considered for the initial net design. Based on the antenna’s operating frequency, the L-band, the surface root mean square (RMS) error and focal length/diameter (F/D) ratio of the reflector were calculated. Design requirements for the antenna’s weight, stowed/deployed dimensions, and fundamental frequency were established. The material properties of each component were applied to the design model, and the geometric dimensions were verified to ensure that the weight and stowed/deployed design were fulfilled. The fundamental frequency requirements under stowed/deployed conditions were verified through modal analysis, and the structural deformation of the ring truss was confirmed through load analysis. The reflector antenna was assembled to the ring truss with the net and mesh, according to the assembly procedure. The curvature of the reflector surface was shaped by adjusting the bolt length of the tension control device. Using V-Stars, a specialized surface error measurement device, the surface RMS error requirements for the reflector were confirmed to be satisfied. Finally, the development verification of the antenna was completed by performing repeated deployment and a thermal vacuum test. Full article
(This article belongs to the Section Aerospace Science and Engineering)
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25 pages, 3706 KB  
Article
Suction-Driven Installation of a 20 m-Diameter Circular Steel Cofferdam: A Full-Scale Field Test in Jebudo, Republic of Korea
by Ju-Hyung Lee, Zhen-Hua Xin and Seongho Hong
J. Mar. Sci. Eng. 2025, 13(11), 2032; https://doi.org/10.3390/jmse13112032 - 23 Oct 2025
Viewed by 281
Abstract
Cofferdams provide dry, stable working conditions for construction in marine environments. However, conventional methods often require significant time and cost for installation and removal, and are prone to leakage. This study proposes a novel method for the rapid and efficient construction of a [...] Read more.
Cofferdams provide dry, stable working conditions for construction in marine environments. However, conventional methods often require significant time and cost for installation and removal, and are prone to leakage. This study proposes a novel method for the rapid and efficient construction of a large-diameter circular cofferdam using suction-driven installation and extraction. As opposed to conventional suction bucket foundations, the upper part of the cofferdam remains exposed above the water surface, and several prefabricated segments are assembled to form a single suction unit. A full-scale field test was conducted in Jebudo, Republic of Korea, using a 20 m-diameter, 13 m-high circular steel cofferdam. The test program included the design and fabrication of a suction cover and an optimized piping system. The key measurements during installation included the suction pressure variation with the penetration depth, leakage at the segmental joints, structural deformations, and inclination. The cofferdam successfully penetrated to a target embedment depth of 5 m at an average rate of 1.83 m/h and was safely removed using reverse suction. Although suction technology has been widely applied to offshore foundations and anchors, this study is the first to demonstrate its feasibility for large cofferdams. These results provide a foundation for future offshore applications of suction-driven cofferdam installations. Full article
(This article belongs to the Section Ocean Engineering)
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11 pages, 2858 KB  
Article
Optimization Design of High-Performance Powder-Spreading Arm for Metal 3D Printers
by Guoqing Zhang, Junxin Li, Xiaoyu Zhou, Yongsheng Zhou, Juanjuan Xie and Yuchao Bai
Micromachines 2025, 16(11), 1194; https://doi.org/10.3390/mi16111194 - 22 Oct 2025
Viewed by 254
Abstract
The powder-laying arm of a metal 3D printer is heavy, which can easily cause long-term damage to the powder-laying servomotor or belt, so it is necessary to design a lightweight powder-laying arm. To this end, we first use 3D modeling Rhino software to [...] Read more.
The powder-laying arm of a metal 3D printer is heavy, which can easily cause long-term damage to the powder-laying servomotor or belt, so it is necessary to design a lightweight powder-laying arm. To this end, we first use 3D modeling Rhino software to rebuild the powder-laying arm, and then, we carry out topology optimization design on the rebuilt powder-laying arm in Altair Inspire software. Finally, we use the Aurora Elva 3D printer to complete manufacturing and assembly to verify compatibility. The results show that the maximum displacement of the original powder-spreading arm is concentrated in the lower right corner at 4.319 × 10−5 mm; the maximum stress is concentrated in the middle transition part, decreasing toward the ends; the maximum stress is 3.843 × 10−2 MPa; the stress concentration and deformation of the powder-spreading arm when spreading powder is small, which provides a large optimization space. The topology-optimized powder-spreading arm, with a 25% quality objective, maintains the integrity of the connection with the fixing hole while having a large mass reduction. The surface of the parts of the completed 3D-printed powder arm is bright, with low roughness, and there is no obvious warping and deformation or other defects; the completed 3D-printed powder-spreading arm and the assembly of the wall are closely coordinated with each other, and the location of the screw holes is appropriate, having no obvious assembly conflicts between the parts, which lays the foundation for the mass production of the powder-spreading arm of high-performance metal 3D printers. Full article
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22 pages, 6207 KB  
Article
Structural Analysis Methods and Key Influencing Factors on the Performance of Segmented Steel–Concrete Hybrid Wind Turbine Towers
by Yifan Dong, Minjuan He, Kun Zeng, Haiyan Fu, Zhongxiang Tu, Wenbing Peng and Ziwei Wang
Buildings 2025, 15(20), 3786; https://doi.org/10.3390/buildings15203786 - 20 Oct 2025
Viewed by 424
Abstract
The development of wind power aligns with the strategy of low-carbon development and plays a crucial role in the global transition to a green economy. The segmented steel–concrete wind turbine tower offers advantages such as modular fragment prefabrication, prestressed structural enhancement, and integrated [...] Read more.
The development of wind power aligns with the strategy of low-carbon development and plays a crucial role in the global transition to a green economy. The segmented steel–concrete wind turbine tower offers advantages such as modular fragment prefabrication, prestressed structural enhancement, and integrated intelligent construction. To investigate the structural performance of such towers, this paper established a numerical model based on an existing project. The model was validated against previous experiments and used for parametric analysis. A numerical model of a segmented steel–concrete wind turbine tower was developed to evaluate its overall deformation, stress distribution, and vertical and horizontal joint separation under various conditions. The concrete segment of the tower was numerically simplified, and a comparative analysis of structural performance was conducted between the detailed and simplified models. Based on the simplified model, the effects of the friction coefficient, prestress loss, and contact area on the anti-slip performance of the transition section of the towers were investigated and analyzed. The results indicated that the validity of the modeling approach was confirmed through the existing experimental results. The top displacement of the model incorporating vertical and horizontal joints (Model 1) did not exceed the limit of 1/100 under the safety factor considerations, indicating that the structure could ensure safety. The simplified model (Model 2) showed consistent behavior with Model 1, thereby providing a reliable basis for parametric studies. A reduction in the steel-to-steel friction coefficient, steel strand prestress, and contact area between the steel transition section and the embedded anchor plate resulted in an increase in the horizontal relative displacement between the steel transition section and the embedded anchor plate to varying extents. Notably, a more pronounced increase in displacement was observed under higher loading conditions. Overall, the horizontal relative displacement between the steel transition section and embedded anchor plate under single-loading conditions was below one millimeter in most of the studied conditions, which was relatively small compared to the assembly tolerance of the structure. Full article
(This article belongs to the Section Building Structures)
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15 pages, 6721 KB  
Article
Mechanical Behaviors of Copper Nanoparticle Superlattices: Role of Lattice Structure
by Jianjun Bian and Liang Yang
Crystals 2025, 15(10), 884; https://doi.org/10.3390/cryst15100884 - 13 Oct 2025
Viewed by 289
Abstract
Nanoparticle superlattices, periodic assemblies of nanoscale building blocks, offer opportunities to tailor mechanical behavior through controlled lattice geometry and interparticle interactions. Here, classical molecular dynamics simulations were performed to investigate the compressive responses of copper nanoparticle superlattices with face-centered cubic (FCC), hexagonal close-packed [...] Read more.
Nanoparticle superlattices, periodic assemblies of nanoscale building blocks, offer opportunities to tailor mechanical behavior through controlled lattice geometry and interparticle interactions. Here, classical molecular dynamics simulations were performed to investigate the compressive responses of copper nanoparticle superlattices with face-centered cubic (FCC), hexagonal close-packed (HCP), body-centered cubic (BCC), and simple cubic (SC) arrangements, as well as disordered assemblies. The flow stresses span 0.5–1.5 GPa. Among the studied configurations, the FCC and HCP superlattices exhibit the highest strengths (~1.5 GPa), followed by the disordered assembly (~1.0 GPa) and the SC structure (~0.8 GPa), while the BCC superlattice exhibits the lowest strength (~0.5 GPa), characterized by pronounced stress drops and recoveries resulting from interfacial sliding. Atomic-scale analyses reveal that plastic deformation is governed by two coupled geometric factors: (i) the number of interparticle contact patches, controlling the density of dislocation sources, and (ii) their orientation relative to the loading axis, which dictates stress transmission and slip activation. A combined parameter integrating particle coordination number and contact orientation is proposed to rationalize the structure-dependent strength, providing mechanistic insight into the deformation physics of metallic nanoparticle assemblies. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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18 pages, 2859 KB  
Article
Research on Quasi-Static Transmission Error Measurement of Spur Gears Based on the Acceleration Method
by Chengcheng Ji, Jian Zhang, Jiaxin Jian, Chuanmao Lv and Zhengminqing Li
Machines 2025, 13(10), 941; https://doi.org/10.3390/machines13100941 - 13 Oct 2025
Viewed by 291
Abstract
Transmission error (TE) is an important parameter in gear dynamics that has a direct impact on the vibration and noise of gears. Under quasi-static conditions, gear elastic deformation and assembly errors amplify with increasing load, potentially contributing to noise and vibration. This paper [...] Read more.
Transmission error (TE) is an important parameter in gear dynamics that has a direct impact on the vibration and noise of gears. Under quasi-static conditions, gear elastic deformation and assembly errors amplify with increasing load, potentially contributing to noise and vibration. This paper presents a novel method for measuring the quasi-static transmission error (QSTE) of spur gears under quasi-static conditions. In particular, the study investigates the relationship between quasi-static transmission error, elastic deformation transmission error, and gear tangential acceleration. Gear elastic deformation transmission error was calculated from experimental data obtained with single-point, symmetrical dual-point, and orthogonal four-point configurations of tangential acceleration sensors. The orthogonal four-point sensor configuration greatly improves measurement accuracy when compared to theoretical values derived from material mechanics calculations. A dedicated on-machine acquisition system for spur gear tangential acceleration was constructed. Tangential acceleration tests were conducted across varying loads and rotational speeds. The acquired data underwent filtering and integration processing in order to obtain gear elastic deformation and quasi-static transmission error. The feasibility of the acceleration approach for measuring both gear elastic deformation and quasi-static transmission error is confirmed by a comparative analysis of the acceleration method results with transmission errors obtained via material mechanics calculations and magnetic grating detection. Full article
(This article belongs to the Section Machine Design and Theory)
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15 pages, 9549 KB  
Article
Failure Analysis of a Novel Ceramic-Coated Floating Oil Seal Considering O-Ring Initial Assembly Deformation
by Yuehao Zhang, Fengsen Wang, Zhumin Li, Bozhao Sun, Tianci Chen and Jiao Wang
Materials 2025, 18(19), 4592; https://doi.org/10.3390/ma18194592 - 3 Oct 2025
Viewed by 425
Abstract
The floating oil seal (FOS) is a critical component in coal mining machinery, where frictional wear and high stress on the O-ring can lead to oil leakage and eventual FOS failure, significantly impairing equipment performance. To address this issue, this study proposes a [...] Read more.
The floating oil seal (FOS) is a critical component in coal mining machinery, where frictional wear and high stress on the O-ring can lead to oil leakage and eventual FOS failure, significantly impairing equipment performance. To address this issue, this study proposes a novel ceramic-coated floating oil seal (NCCFOS) composite structure that enhances wear resistance without modifying the existing sealing cavity configuration. A two-dimensional axisymmetric finite element model of the NCCFOS was developed based on the Mooney–Rivlin constitutive model, considering the O-ring assembly process for improved accuracy. The model was analyzed under oil pressure loading, with parametric studies examining the influence of oil pressure, assembly clearance, and material hardness on O-ring stress, contact pressure, and frictional stress distribution in the floating seal ring. The results demonstrate that accounting for the assembly process yielded more realistic stress predictions compared to conventional modeling approaches. The NCCFOS design effectively mitigated stress concentrations, reduced O-ring wear, and extended fatigue life, offering a practical solution for enhancing the reliability of coal mining machinery seals. Full article
(This article belongs to the Section Materials Simulation and Design)
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15 pages, 1820 KB  
Article
Design of a Pneumatic Muscle-Actuated Compliant Gripper System with a Single Mobile Jaw
by Andrea Deaconescu and Tudor Deaconescu
J. Manuf. Mater. Process. 2025, 9(10), 326; https://doi.org/10.3390/jmmp9100326 - 2 Oct 2025
Viewed by 632
Abstract
The paper presents an innovative theoretical concept of a bio-inspired soft gripper system with two parallel jaws, a fixed and a mobile one. It is conceived for gripping fragile or soft objects with complex, irregular shapes that are easily deformable. This novel gripper [...] Read more.
The paper presents an innovative theoretical concept of a bio-inspired soft gripper system with two parallel jaws, a fixed and a mobile one. It is conceived for gripping fragile or soft objects with complex, irregular shapes that are easily deformable. This novel gripper is designed for handling small objects of masses up to 0.5 kg. The maximum gripping stroke of the mobile jaw is 13.5 mm. The driving motor is a pneumatic muscle, an actuator with inherently compliant, spring-like behavior. Compliance is the feature responsible for the soft character of the gripper system, ensuring its passive adaptability to the nature of the object to be gripped. The paper presents the structural, kinematic, static, and dynamic models of the novel gripper system and describes the compliant behavior of the entire assembly. The results of the dynamic simulation of the gripper have confirmed the attaining of the imposed motion-related performance. Full article
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30 pages, 25126 KB  
Article
Study on Seismic Performance of Asymmetric Rectangular Prefabricated Subway Station Structures in Soft Soil
by Yi Zhang, Tongwei Zhang, Shudong Zhou, Tao Du, Jinsheng Huang, Ming Zhang and Xun Cheng
Buildings 2025, 15(19), 3537; https://doi.org/10.3390/buildings15193537 - 1 Oct 2025
Viewed by 295
Abstract
With the continuous improvement of the prefabricated modular technology system, the prefabricated subway station structures are widely used in underground engineering projects. However, prefabricated subway stations in soft soil can suffer significant adverse effects under seismic action. In order to study the seismic [...] Read more.
With the continuous improvement of the prefabricated modular technology system, the prefabricated subway station structures are widely used in underground engineering projects. However, prefabricated subway stations in soft soil can suffer significant adverse effects under seismic action. In order to study the seismic performance of a prefabricated subway station, this work is based on an actual project of a subway station in soft soil. And the nonlinear static and dynamic coupling two-dimensional finite element models of cast-in-place structures (CIPs), assembly splicing structures (ASSs), and assembly monolithic structures (AMSs) are established, respectively. The soil-structure interaction is considered, and different peak ground accelerations (PGA) are selected for incremental dynamic analysis. The displacement response, internal force characteristics, and structural damage distribution for three structural forms are compared. The research results show that the inter-story displacement of the AMS is slightly greater than that of the CIP, while the inter-story displacement of the ASS is the largest. The CIP has the highest internal force in the middle column, the ASS has the lowest internal force in the middle column, and the AMS is between the two. The damage to the CIP is concentrated at the bottom of the middle column and sidewall. The AMS compression damage moves upward, but the tensile damage mode is similar to the CIP. The ASS can effectively reduce damage to the middle column and achieve redistribution of internal force. Further analysis shows that the joint splicing interface between cast-in-place and prefabricated components is the key to controlling the overall deformation and seismic performance of the structure. The research results can provide a theoretical basis for the seismic design optimization of subway stations in earthquake-prone areas. Full article
(This article belongs to the Section Building Structures)
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27 pages, 10626 KB  
Article
Meshless Time–Frequency Stochastic Dynamic Analysis for Sandwich Trapezoidal Plate–Shell Coupled Systems in Supersonic Airflow
by Ningze Sun, Guohua Gao, Dong Shao and Weige Liang
Aerospace 2025, 12(10), 880; https://doi.org/10.3390/aerospace12100880 - 29 Sep 2025
Viewed by 209
Abstract
In this paper, a full-domain stochastic response analysis is performed based on the meshless method to reveal the time–frequency dynamic characteristics, including the power spectral density (PSD) responses in the frequency domain and the evolving PSD distribution in the time domain for a [...] Read more.
In this paper, a full-domain stochastic response analysis is performed based on the meshless method to reveal the time–frequency dynamic characteristics, including the power spectral density (PSD) responses in the frequency domain and the evolving PSD distribution in the time domain for a sandwich trapezoidal plate–shell coupled system. The general governing equations are derived based on the first-order shear deformation theory (FSDT), linear piston theory and Hamilton’s principle, and the stochastic excitation is integrated into the meshless framework based on the pseudo-excitation method (PEM). By constructing the meshless shape function covering the entire structural domain from Chebyshev polynomials and discretizing the continuous domain into a series of nodes within a square definition domain, the points are assembled according to the sequence number and the equilibrium relationship on the coupling edge to obtain the overall vibration equations. The validity is demonstrated by matching the mode shapes, PSD responses, time history displacement and critical flutter boundaries with FEM simulation and reported data. Finally, the time–frequency characteristics of each substructure under global and single stochastic excitation, and the effect of aerodynamic pressure on full-domain stochastic vibration, are revealed. Full article
(This article belongs to the Section Aeronautics)
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21 pages, 8981 KB  
Article
Curing Deformation Prediction and Compensation Methods for Large-Sized CFRP Components
by Tiantengzi Cao, Chao Li, Lichao Wan, Zhongqi Wang and Yang Zhao
Machines 2025, 13(10), 890; https://doi.org/10.3390/machines13100890 - 29 Sep 2025
Viewed by 383
Abstract
The residual stresses induced by the curing process for carbon fiber-reinforced polymers (CFRPs) lead to inevitable deformation, which seriously affects manufacturing accuracy, especially for large-sized CFRP components. Furthermore, deformation may cause damage or failure of components during subsequent assembly. More attention needs to [...] Read more.
The residual stresses induced by the curing process for carbon fiber-reinforced polymers (CFRPs) lead to inevitable deformation, which seriously affects manufacturing accuracy, especially for large-sized CFRP components. Furthermore, deformation may cause damage or failure of components during subsequent assembly. More attention needs to be paid to improving the curing accuracy for large-sized CFRP components. In this study, a normal direction compensation algorithm based on node deformation is proposed based on the mold profile. Firstly, a finite element model was constructed to simulate the curing process of CFRPs and validated with a small-sized test piece. The results showed the effectiveness of the simulated and compensation methods. Secondly, to meet the precision requirements of large-sized CFRP components, a neural network was used to establish a mapping between curing process parameters and curing deformation, and the parameters were then optimized with a genetic algorithm for subsequent analysis. Finaly, a 15 m CFRP component was used to explore the effect of compensation methods in reducing curing deformation of large-sized CFRP components. The verified results showed that the maximum deformation after compensation was 0.99 mm in the normal direction, which was superior to the 1.258 mm compensation in the connecting direction. Full article
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27 pages, 11735 KB  
Article
Geometric Analysis and Experimental Studies of Hexachiral Structures
by Julian Plewa, Małgorzata Płońska, Kamil Feliksik and Grzegorz Junak
Materials 2025, 18(18), 4344; https://doi.org/10.3390/ma18184344 - 17 Sep 2025
Viewed by 465
Abstract
Chiral metamaterial structures exhibit auxetic properties—when subjected to stress, they either contract or expand in the given direction, while maintaining an asymmetric geometric effect—they cannot overlap with their mirror image. The unit cells of hexachiral structures take the form of cylindrical nodes with [...] Read more.
Chiral metamaterial structures exhibit auxetic properties—when subjected to stress, they either contract or expand in the given direction, while maintaining an asymmetric geometric effect—they cannot overlap with their mirror image. The unit cells of hexachiral structures take the form of cylindrical nodes with ligaments attached to them. Under the action of external compressive forces, the ligaments bend and coil around the nodes. This is accompanied by a negative Poisson’s ratio approaching minus one. In this case, it has been demonstrated both theoretically and experimentally that this value is independent of the degree of compression. In the course of geometric analysis, the value of Poisson’s ratio has been shown to depend on the number of unit cells in the structure, and with a large number of unit cells, it reaches the theoretical value of minus one. The experiments were conducted on structures assembled from printed nodes and ligaments. It has been demonstrated that, as a result of uniaxial compression, various parts of the structure undergo distinct deformations. However, structures subjected to multi-directional compression—as elastic energy reservoirs—also exhibited negative Poisson’s ratio values close to minus one, with their magnitude dependent on the degree of compression. Full article
(This article belongs to the Special Issue Modelling of Deformation Characteristics of Materials or Structures)
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26 pages, 6175 KB  
Article
Geometrically Nonlinear Analysis of Composite Beams Based Using a Space–Time Finite Element Method
by Xin Hu, Lidao Chen and Yong Liu
Aerospace 2025, 12(9), 831; https://doi.org/10.3390/aerospace12090831 - 16 Sep 2025
Viewed by 372
Abstract
In this paper, we present a transient-format time-continuous Galerkin finite element method for fully intrinsic geometrically exact beam equations that are energy-consistent. Within the grid of space and time, we derive governing equations for elements using the Galerkin method and the time finite [...] Read more.
In this paper, we present a transient-format time-continuous Galerkin finite element method for fully intrinsic geometrically exact beam equations that are energy-consistent. Within the grid of space and time, we derive governing equations for elements using the Galerkin method and the time finite element method, implement variable interpolation via Legendre functions, and establish an assembly process for space–time finite element equations. The key achievement is the realization of the free order variation of the program, which provides a basis for future research on adaptive algorithms. In particular, the variable order method reduces the quality requirements for the mesh. In regions with a higher degree of nonlinearity, it is easier to increase the variable order, and the result is smoother. Meanwhile, increasing the interpolation order effectively enhances computational accuracy. Introducing kinematical equations of rotation with Lagrange operators completely imposes the conservative loads on fully intrinsic equations. This means that loads in the inertial coordinate system, such as gravity, can also be iterated synchronously in the deformed coordinate system. Through a set of illustrative examples, our algorithm demonstrates effectiveness in addressing conservative loads, elastic coupling deformation, and dynamic response, demonstrating the ability to analyze elastically coupled dynamic problems pertaining to helicopter rotors. Full article
(This article belongs to the Section Aeronautics)
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