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Search Results (324)

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Keywords = nonlinear buckling

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20 pages, 5965 KB  
Article
Structural and Computational Validation of a Novel Titanium Scleral Buckle Implant for Posterior Pole Retinal Detachment
by Ahmet Turer, Tugce Ilayda Turer and Levent Akduman
J. Clin. Transl. Ophthalmol. 2026, 4(2), 11; https://doi.org/10.3390/jcto4020011 - 17 Apr 2026
Viewed by 71
Abstract
Background: A novel titanium scleral buckle implant (TSBI) was developed for the treatment of posterior pole retinal detachments, analytically modeled and structurally tested as part of preclinical approval studies. The strength and stiffness requirements to apply pressure for retinal reattachment also suggested potential [...] Read more.
Background: A novel titanium scleral buckle implant (TSBI) was developed for the treatment of posterior pole retinal detachments, analytically modeled and structurally tested as part of preclinical approval studies. The strength and stiffness requirements to apply pressure for retinal reattachment also suggested potential benefits for correcting high myopia greater than 8 diopters. Methods: Laboratory load testing and analytical calculations were complemented by nonlinear finite element modeling (FEM), applied for the first time to capture the interaction between the highly deformed myopic eye and the TSBI. Simulations were used to visualize posterior pole indentation and force distribution across anatomical regions. Seven TSBI units were tested in the transverse direction and six in the longitudinal direction. Results: The simulations confirmed that stable indentation is maintained even in areas distant from the sutures. The TSBI’s minimum midspan bending capacity was 40 N at yield and 60 N at ultimate. These values, together with FEM predictions, demonstrated a very large safety margin and showed that the implant deforms insignificantly under high intraocular pressure changes. Conclusions: The TSBI withstands ocular forces, cushions the sclera safely, and retains its geometry, a behavior that may differ from softer buckle materials, which can exhibit time-dependent deformation under sustained loading. Early controlled clinical applications outside the USA, followed for over three years, further validate its safety and potential effectiveness. Full article
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24 pages, 6997 KB  
Article
Axial Load–Bending Moment Interaction Diagram of Double Curvature Slender Columns Exposed to High Temperatures
by Bara’a R. Alnemrawi, Rajai Z. Al-Rousan and Osama K. Nusier
Buildings 2026, 16(8), 1525; https://doi.org/10.3390/buildings16081525 - 14 Apr 2026
Viewed by 255
Abstract
The behavior of Reinforced Concrete (RC) rectangular, slender columns is examined in this study upon exposure to heat-damage effects and fully confined by Carbon Fiber Reinforced Polymer (CFRP) wraps, where a new interaction diagram is proposed. The Nonlinear Finite Element Analysis (NLFEA) method [...] Read more.
The behavior of Reinforced Concrete (RC) rectangular, slender columns is examined in this study upon exposure to heat-damage effects and fully confined by Carbon Fiber Reinforced Polymer (CFRP) wraps, where a new interaction diagram is proposed. The Nonlinear Finite Element Analysis (NLFEA) method is adopted to comprehensively understand the behavior of the RC columns, where a validation process takes place, followed by a wide parametric study. The studied parameters include the effect of different temperatures (23 °C (room temperature), 200 °C, 400 °C, 600 °C, and 800 °C) and nine eccentricity-to-height ratios where biaxial moments exist (0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8). It has been found that the deformation, toughness, and the axial column’s strength are significantly improved by providing one layer of CFRP sheets for heat-damaged RC columns, while the stiffness behavior is only marginally affected. In addition, increasing the temperature reduces the energy absorption capacity and the ultimate strength of the columns while these are reduced by increasing the loading eccentricity value. However, columns experience a sudden and brittle failure when subjected to combined bending and axial loadings that might be accompanied by steel yielding or buckling of the column’s cross-section. Finally, the interaction diagram between the load and bending actions was constructed by addressing the results of the simulated columns. Full article
(This article belongs to the Section Building Structures)
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14 pages, 2925 KB  
Review
Optimal Outrigger Placement with BRB for Improved Seismic Performance in Super-Tall Buildings
by Hamid Nikzad and Shinta Yoshitomi
CivilEng 2026, 7(2), 23; https://doi.org/10.3390/civileng7020023 - 8 Apr 2026
Viewed by 212
Abstract
This paper proposes a power-based optimization procedure to identify the optimal number and vertical placement of buckling restrained brace (BRB) outrigger systems for enhancing the seismic performance of core-wall-dominated benchmark model. The proposed method is validated using a nine-zone numerical model subjected to [...] Read more.
This paper proposes a power-based optimization procedure to identify the optimal number and vertical placement of buckling restrained brace (BRB) outrigger systems for enhancing the seismic performance of core-wall-dominated benchmark model. The proposed method is validated using a nine-zone numerical model subjected to nonlinear time-history analysis implemented in MATLAB R2025.a (25.1.0.2943329). The optimization variables include the number and locations of outriggers as well as the stiffness of the BRBs, while the objective function is defined as the minimization of the maximum inter-story drift response. Outriggers are installed between zones 2 and 9, with each zone subdivided into five potential outrigger levels located 150 mm above the floor level, resulting in 40 potential outrigger placement scenarios. The total number of outriggers is constrained to range from one to eight, with at most one outrigger allowed per zone. Optimal outrigger–BRB configurations are identified by incrementally distributing BRB stiffness at the perimeter column-outrigger connection regions using a power-based allocation strategy. At each optimization step, the proposed framework evaluates only one candidate configuration per eligible story and outrigger level, resulting in several nonlinear time-history analysis grows linearly with the number of candidate locations. This contrasts with the combinatorial growth in computational demand typically associated with exhaustive or evolutionary optimization methods and leads to a significant reduction in overall computational efforts. Full article
(This article belongs to the Topic Advances on Structural Engineering, 3rd Edition)
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18 pages, 4212 KB  
Article
Finite Element Study of Lightweight-Concrete-Filled Hollow-Flanged Cold-Formed Steel Beams Under Bending–Shear Interaction
by Mohamed Sifan, Kasim Smith, Keerthan Poologanathan and Thushanthan Kannan
Buildings 2026, 16(7), 1370; https://doi.org/10.3390/buildings16071370 - 30 Mar 2026
Viewed by 349
Abstract
This study presents a comprehensive numerical investigation into the combined bending–shear behaviour of hollow-flanged cold-formed steel (HFCFS) beams filled with lightweight concrete (LWC). Although previous research has independently examined the pure bending and pure shear responses of these composite members, their structural performance [...] Read more.
This study presents a comprehensive numerical investigation into the combined bending–shear behaviour of hollow-flanged cold-formed steel (HFCFS) beams filled with lightweight concrete (LWC). Although previous research has independently examined the pure bending and pure shear responses of these composite members, their structural performance under simultaneous bending and shear remains unexplored. In this work, advanced three-dimensional finite element (FE) models were developed in ABAQUS to simulate the nonlinear behaviour of LWC-filled HFCFS beams subjected to various shear-span ratios. The modelling approach was validated using published experimental data and extended through a systematic parametric study that considered three beam geometries, two steel yield strengths (350 MPa and 450 MPa), two lightweight-concrete strengths (30 MPa and 50 MPa), and aspect ratios ranging from 1.5 to 3.5. The results demonstrated a clear progression of governing failure modes, from web shear buckling at low aspect ratios to combined shear–flexure interaction at intermediate spans and flexural-dominated failure at larger spans. Normalised shear and bending demand–capacity ratios (V/Vu and M/Mu) were used to identify the dominant limit state, revealing a predictable transition from shear-controlled to flexure-controlled behaviour. The findings enhance the understanding of composite thin-walled steel–concrete systems under combined actions and highlight the need for dedicated design rules for CF-HFCFS beams operating within the bending–shear interaction domain. Full article
(This article belongs to the Collection Advanced Concrete Materials in Construction)
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19 pages, 6836 KB  
Article
Thermoelastic Vibration of Functionally Graded Porous Euler–Bernoulli Beams Using the Differential Transformation Method
by Selin Kaptan and İbrahim Özkol
Appl. Sci. 2026, 16(7), 3271; https://doi.org/10.3390/app16073271 - 27 Mar 2026
Viewed by 273
Abstract
Functionally graded porous beams are increasingly used in lightweight engineering structures, where thermal effects and material inhomogeneity significantly influence vibration behavior. In this study, the thermoelastic free vibration of functionally graded porous Euler–Bernoulli beams with temperature-dependent material properties is investigated by considering uniform [...] Read more.
Functionally graded porous beams are increasingly used in lightweight engineering structures, where thermal effects and material inhomogeneity significantly influence vibration behavior. In this study, the thermoelastic free vibration of functionally graded porous Euler–Bernoulli beams with temperature-dependent material properties is investigated by considering uniform and symmetric porosity distributions, together with uniform, linear, and nonlinear temperature fields. The governing equations are derived based on classical Euler–Bernoulli beam theory and solved using the Differential Transformation Method, while the accuracy of the semi-analytical formulation is verified through a Hermite-based finite element model. The results show that increasing temperature reduces the bending stiffness due to thermal axial forces and leads to a rapid decrease in natural frequency as the critical buckling temperature is approached. Increasing porosity generally decreases the natural frequency, although a slight increase may occur in symmetric distributions because of the accompanying reduction in mass density. The present study provides a computational framework for the thermo-vibration analysis of functionally graded porous beams in lightweight structural applications. Full article
(This article belongs to the Section Acoustics and Vibrations)
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27 pages, 9906 KB  
Article
Structural Behavior and Performance Assessment of a Prestressed Aluminum Alloy Formwork System for Large-Span Concrete Domes
by Lingling Ren, Yuan Liu, Xingpeng Ma, Zehao Li and Dongsheng Lei
Coatings 2026, 16(3), 374; https://doi.org/10.3390/coatings16030374 - 17 Mar 2026
Viewed by 401
Abstract
To overcome the limitations of conventional steel support systems in large-span concrete dome construction, this study proposes a novel prestressed modular aluminum alloy formwork system based on a radial–circumferential spatial truss configuration. A refined finite element model was established to simulate the staged [...] Read more.
To overcome the limitations of conventional steel support systems in large-span concrete dome construction, this study proposes a novel prestressed modular aluminum alloy formwork system based on a radial–circumferential spatial truss configuration. A refined finite element model was established to simulate the staged construction process under the most unfavorable load combination (1.3G + 1.5Q), and the influences of prestress levels and concrete pouring sequences were systematically investigated. Results indicate that external prestressing significantly enhances structural stiffness and deformation control. Increasing the prestress level from 0.3fptk to 0.5fptk reduces the maximum vertical displacement by approximately 18%, while a prestress of 0.7fptk achieves a total reduction of about 31%. Radial support displacement decreases by up to 48%, demonstrating improved global stability. Considering both deformation control and material utilization efficiency, 0.5fptk is recommended as the optimal prestress level. Comparative analysis of construction schemes shows that the layered pouring method reduces maximum vertical displacement by approximately 15% compared with ring casting. Buckling analyses further confirm adequate stability reserve beyond code-required safety coefficients. These findings verify the feasibility and deformation control effectiveness of the proposed prestressed aluminum alloy dome formwork system for large-span construction applications. Full article
(This article belongs to the Special Issue Latest Insights in Metal Fatigue, Failure, and Fracture)
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36 pages, 8397 KB  
Article
Intelligent Predictive Analysis of Lateral Torsional Buckling in Pre-Stressed Thin-Walled Steel Beams with Un-Bonded Deviators Under Non-Uniform Bending
by Ali Turab Asad, Moon-Young Kim, Imdad Ullah Khan and Agha Intizar Mehdi
Buildings 2026, 16(6), 1153; https://doi.org/10.3390/buildings16061153 - 14 Mar 2026
Viewed by 365
Abstract
This study presents a newly conducted comprehensive investigation into the lateral torsional buckling (LTB) behavior of un-bonded pre-stressed (PS) thin-walled steel I-beams subjected to non-uniform bending moments, combining a numerical study with a machine learning (ML) approach and experimental validation. Despite extensive prior [...] Read more.
This study presents a newly conducted comprehensive investigation into the lateral torsional buckling (LTB) behavior of un-bonded pre-stressed (PS) thin-walled steel I-beams subjected to non-uniform bending moments, combining a numerical study with a machine learning (ML) approach and experimental validation. Despite extensive prior work, no exact analytical solution exists particularly for non-uniform bending or can be extremely complicated, as the resulting differential equations contain variable coefficients particularly under non-uniform bending due to the complexity of the PS system. To overcome this limitation, a numerical study using finite element (FE) analysis is first conducted with emphasis on the key geometric and pre-stressing parameters, including unbraced beam length, tendon eccentricity, deviators configurations, and pre-stressing force, to evaluate the LTB behavior. The FE modeling was then validated against experimental testing to ensure the accuracy and reliability of the FE solutions. Subsequently, a comprehensive dataset is generated using FE simulations to train the ML models aimed at predicting the LTB resistance of the PS system. This study presents three ML approaches, including support vector regression (SVR), random forest (RF) and least-square boosting (LSBoost), and their optimal hyperparameters are determined using Bayesian optimization (BO) to enhance the prediction performance. The results indicate that the LTB capacity predicted by the Bayesian-optimized ML models achieve high predictive accuracy and are in close agreement with numerical FE simulations, thereby highlighting their potential in capturing the complex, underlying non-linear interactions influencing the buckling behavior of the PS structural system. Accordingly, the proposed framework offers a robust and effective predictive tool for evaluating LTB resistance, particularly under non-uniform bending where exact analytical solutions are not available, and for supporting the design and assessment of PS steel structures. Full article
(This article belongs to the Section Building Structures)
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24 pages, 6248 KB  
Article
Structural Performance and Weight-Efficiency Trade-Offs of Bulb and Angle Stiffeners in Imperfection-Sensitive Plate Buckling and Collapse
by Myung-Su Yi, Da-Bin Jung and Joo-Shin Park
J. Mar. Sci. Eng. 2026, 14(5), 515; https://doi.org/10.3390/jmse14050515 - 9 Mar 2026
Viewed by 329
Abstract
This study presents a mechanics-based comparison of the buckling and ultimate strength behavior of stiffened plates reinforced with bulb-type and built-in angle stiffeners, with particular emphasis on the trade-off between structural performance and weight efficiency. Although these stiffener types are commonly treated as [...] Read more.
This study presents a mechanics-based comparison of the buckling and ultimate strength behavior of stiffened plates reinforced with bulb-type and built-in angle stiffeners, with particular emphasis on the trade-off between structural performance and weight efficiency. Although these stiffener types are commonly treated as equivalent when designed to provide the same sectional moment of inertia, their nonlinear collapse behavior under realistic loading conditions has not been sufficiently quantified. To address this gap, a two-stage finite element framework is employed, consisting of linear eigenvalue buckling analysis to identify imperfection-sensitive modes, followed by geometrically and materially nonlinear imperfection analysis (GMNIA) to capture post-buckling behavior and ultimate strength. High-fidelity three-dimensional solid models incorporating classification-society-based material properties are used to simulate axially compressed stiffened plates representative of jack-up rig Living Quarter structures. The results demonstrate that, while both stiffener types exhibit comparable elastic buckling resistance, their nonlinear responses differ in terms of stiffness degradation, stress redistribution, and collapse localization. Importantly, the angle stiffener achieves an ultimate strength comparable to that of the elastically equivalent bulb stiffener while requiring less material, thereby exhibiting superior weight efficiency. These findings indicate that elastic equivalence alone is insufficient for optimal stiffener selection and highlight the necessity of nonlinear, imperfection-sensitive assessment in the design of lightweight and high-performance marine structures. Full article
(This article belongs to the Special Issue Advanced Analysis of Ship and Offshore Structures)
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32 pages, 12219 KB  
Article
Stochastic Mechanical Response and Failure Mode Transition of Corroded Buried Pipelines Subjected to Reverse Faulting
by Tianchong Li, Kaihua Yu, Yachao Hu, Ruobing Wu, Yuchao Yang and Feng Liu
Materials 2026, 19(5), 1033; https://doi.org/10.3390/ma19051033 - 8 Mar 2026
Viewed by 297
Abstract
Buried oil and gas pipelines, the critical arteries of global energy infrastructure, are increasingly vulnerable to severe geological hazards such as reverse faulting, yet their structural integrity is often pre-compromised by stochastic corrosion damage accumulated during service. However, quantifying the coupled impact of [...] Read more.
Buried oil and gas pipelines, the critical arteries of global energy infrastructure, are increasingly vulnerable to severe geological hazards such as reverse faulting, yet their structural integrity is often pre-compromised by stochastic corrosion damage accumulated during service. However, quantifying the coupled impact of spatial corrosion heterogeneity and large ground deformation remains a formidable challenge due to the complex nonlinearities involved in soil–structure interactions and wall thinning. This study establishes a probabilistic assessment framework integrating random field theory, nonlinear finite element analysis, and a generative conditional diffusion model to characterize realistic 2D non-Gaussian corrosion morphologies. The numerical results reveal a significant geometric stiffening effect induced by internal pressure, where moderate operating levels effectively suppress cross-sectional distortion by counteracting the Brazier effect. Consequently, this mechanism facilitates a fundamental transition in failure modes from localized tensile rupture to ductile buckling, significantly extending the critical fault displacement threshold. Furthermore, probabilistic fragility analysis demonstrates that the spatial dispersion of pitting, rather than just average wall thinning, governs the initiation of premature failure. Mechanistic analysis indicates that high internal pressure, while providing pneumatic support, exacerbates tensile strain localization at corrosion pits, leading to a heightened probability of premature rupture under minor fault deformations, a critical hazard that traditional deterministic models significantly underestimate. These findings provide a quantitative theoretical foundation for the reliability-based design and maintenance of energy lifelines traversing active tectonic zones. Full article
(This article belongs to the Section Materials Simulation and Design)
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32 pages, 7818 KB  
Article
Analysis of Mechanical Properties of Steel Tube Crossing Frame for Power Transmission Project
by Shuang Wang, Zhenghai Guo, Guanmin Zhu, Pengcheng Zhang, Qiyun Han and Bo Tang
Metals 2026, 16(3), 299; https://doi.org/10.3390/met16030299 - 7 Mar 2026
Viewed by 416
Abstract
In this study, compared with traditional scaffolds, the arrangement and structural dimensions of steel tubular crossing frames used in transmission engineering are significantly different, making it difficult to efficiently and accurately evaluate their structural stability using existing specifications and conventional methods. Therefore, a [...] Read more.
In this study, compared with traditional scaffolds, the arrangement and structural dimensions of steel tubular crossing frames used in transmission engineering are significantly different, making it difficult to efficiently and accurately evaluate their structural stability using existing specifications and conventional methods. Therefore, a finite element model of a steel tubular crossing frame considering the semi-rigid characteristics of joints was established, and the influence of frame parameters on structural stability and the effective length factor (μ) of the vertical members was analyzed. On this basis, the main factors affecting the effective length factor μ were identified using orthogonal testing and multiple linear regression, and a predictive formula was obtained through curve fitting. The results show that the step distance and number of steps of the horizontal members are the primary factors influencing the bearing capacity and μ value of the crossing frame, followed by the spacing of vertical members, the number of spans, and the number of rows. The height of the bottom sweeping member has a weak influence within the range of 0.1–0.6 m but becomes significantly more influential when it exceeds 0.7 m. The installation of peripheral cross bracing increases the bearing capacity of the crossing frame by at least 20%. The accuracy of the proposed formula was verified by comparing the stresses of the vertical members calculated using the formula, the specifications JGJ130-2019 and BS5975-2019, and the finite element analysis results. The findings provide a useful reference for the stability assessment and erection scheme design of steel tubular crossing frames in transmission engineering. Full article
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13 pages, 3912 KB  
Article
Influences of Inclination Angles and Loading Scenarios on the Elasto-Plastic Stability of a Steel Basket-Handle Arch Structure
by Zijing Zhang, Zhanfei Wang, Qiang Zhang and Jia Chen
Buildings 2026, 16(5), 1013; https://doi.org/10.3390/buildings16051013 - 4 Mar 2026
Viewed by 278
Abstract
This study investigates the effects of an arch rib inclination angle and loading scenario on the elasto-plastic stability of steel basket-handle arches to support bridge design. A parametric finite element analysis was performed on 48 models, with inclination angles ranging from 0° to [...] Read more.
This study investigates the effects of an arch rib inclination angle and loading scenario on the elasto-plastic stability of steel basket-handle arches to support bridge design. A parametric finite element analysis was performed on 48 models, with inclination angles ranging from 0° to 15° under three vertical loading conditions: uniformly distributed (V), transversely eccentric (V1), and longitudinally eccentric (V2). A nonlinear analysis was conducted using the arc-length method. The results indicate that the ultimate bearing capacity is highest under loading V, followed by V1 and V2, irrespective of the inclination angle. The initial stiffness increases monotonically with inclination in all cases. Under V, the capacity peaks at a 10° inclination before declining, with a corresponding transition from out-of-plane to in-plane buckling at this critical angle. Under V1, out-of-plane buckling dominates, and the capacity fluctuates slightly before increasing with the inclination. Under V2, in-plane antisymmetric buckling prevails, and the capacity decreases gradually as the inclination increases. Eccentric loading induces severe stress concentration and local buckling at the arch feet, accelerating global failure. It is concluded that an inclination angle up to 10° enhances elasto-plastic stability under symmetric vertical loading, whereas eccentric loading substantially reduces the capacity; therefore, symmetric and simultaneous loading on both arches is recommended during construction. Full article
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13 pages, 1558 KB  
Technical Note
Optimized Fiber Element Modeling Strategy for Concrete-Encased Steel Composite Columns: Focusing on Material Nonlinearity and Confinement Effects
by Seongjin Ha
Buildings 2026, 16(5), 999; https://doi.org/10.3390/buildings16050999 - 4 Mar 2026
Viewed by 322
Abstract
Reliable numerical simulation of concrete-encased steel (CES) composite columns remains challenging, and practical fiber-element modeling can be sensitive to confinement representation and to discretization and integration choices. Although CES columns offer superior structural performance, accurate simulation is difficult due to the complex interaction [...] Read more.
Reliable numerical simulation of concrete-encased steel (CES) composite columns remains challenging, and practical fiber-element modeling can be sensitive to confinement representation and to discretization and integration choices. Although CES columns offer superior structural performance, accurate simulation is difficult due to the complex interaction between steel and concrete under cyclic loading. Current seismic design codes, such as ASCE/SEI 41-17, often simplify modeling parameters by underestimating composite action, which can lead to uneconomical and overly conservative assessments that do not fully reflect the confining effect of the concrete encasement and the buckling restraint of the steel core. This study proposes a practical guideline for constructing an accurate analytical model for CES columns using nonlinear fiber-element analysis, with a specific focus on material constitutive laws. To validate the proposed strategy, nonlinear analyses were conducted and compared against a comprehensive database of 79 experimental specimens compiled from previous studies. The predicted-to-test peak strength ratio shows a mean of 1.02 (standard deviation of 0.058). Sensitivity studies indicate that responses stabilize beyond ~23 fibers (<1.5% error), reducing computation time by ~40% on average (from 52 to 23 fibers) compared with dense discretization while maintaining reliable hysteretic response prediction. Full article
(This article belongs to the Special Issue Analysis of Structural and Seismic Performance of Building Structures)
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25 pages, 16414 KB  
Article
Seismic Performance of Concentrically Braced Steel Frames Equipped with Novel Self-Centering Dual-Stage Yielding Buckling-Restrained Braces
by Qianzhan Cheng, Yan Shi, Hongguo Qin and Yu Ding
Buildings 2026, 16(5), 960; https://doi.org/10.3390/buildings16050960 - 28 Feb 2026
Viewed by 342
Abstract
Conventional buckling-restrained braces provide stable and efficient hysteretic energy dissipation but lack a recentering mechanism and adequate deformation capacity, which may result in significant residual deformations after strong earthquakes. Conventional self-centering braces reduce residual deformation but often provide limited energy dissipation under large [...] Read more.
Conventional buckling-restrained braces provide stable and efficient hysteretic energy dissipation but lack a recentering mechanism and adequate deformation capacity, which may result in significant residual deformations after strong earthquakes. Conventional self-centering braces reduce residual deformation but often provide limited energy dissipation under large seismic demands. To address these complementary limitations, a novel self-centering dual-stage yielding buckling-restrained braces is proposed. The device uses a two-stage core. A shape memory alloy first-stage core provides recentering. A low-yield-point steel second-stage core provides supplemental energy dissipation. An activation-displacement mechanism controls staged engagement of the two cores. Experimental tests validate the feasibility of the proposed configuration and confirm its stable hysteretic behavior and reliable recentering performance. A six-story concentrically braced steel frame is subsequently modeled in OpenSees, and nonlinear time-history analyses are performed to evaluate the seismic response of the system. Under an equal initial-stiffness design criterion, the seismic performance of frames equipped with the proposed brace is systematically compared with those incorporating a conventional self-centering brace and a conventional buckling-restrained brace. The numerical results indicate that the proposed system achieves enhanced control of interstory drift, mitigates weak-story behavior, and effectively reduces residual deformation under different seismic hazard levels while promoting a more uniform distribution of deformation along the structural height. Furthermore, a comprehensive parametric study is carried out to clarify the influence of key design parameters on displacement response and recentering performance, providing practical guidance for the seismic design and engineering application of the proposed brace. Full article
(This article belongs to the Section Building Structures)
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23 pages, 2455 KB  
Article
Evaluation of the Critical Buckling Load Factor in Predesign of Natural-Draft Cooling Towers Considering Finite-Element Discretization Uncertainty and Geometric Imperfections
by Antonio Tomás, Lorena Yepes-Bellver and Joaquín María Barquero
Buildings 2026, 16(5), 952; https://doi.org/10.3390/buildings16050952 - 28 Feb 2026
Viewed by 273
Abstract
The critical buckling load factor λcr is routinely used as predesign indicator for natural-draft cooling towers, yet its safety meaning is often opaque because imperfection sensitivity and modelling options are embedded implicitly. In this study, λcr is formalised as a product [...] Read more.
The critical buckling load factor λcr is routinely used as predesign indicator for natural-draft cooling towers, yet its safety meaning is often opaque because imperfection sensitivity and modelling options are embedded implicitly. In this study, λcr is formalised as a product of partial contributions within a screening-level predesign framework—?not a normative limit-state format—and the contributions associated with geometric imperfections and FE discretization are calibrated explicitly. Eigenvalue analyses on representative tower geometries under combined self-weight and wind actions are complemented by imperfection-sensitivity curves and a systematic mesh/element-type study. The numerical implementation is additionally verified against published benchmark towers to provide a traceable reference before the parametric analyses. The results show that admissible modelling options can produce non-negligible scatter in λcr, while realistic geometric imperfections lead to a comparatively stable range. By separating actions, material, brittle failure, imperfection and discretization contributions, λcr can be interpreted consistently as a predesign global stability factor of the order of four for typical cooling-tower configurations, with the discretization-related term interpreted as a framework-dependent epistemic contribution, providing a transparent bridge between linear indicators and nonlinear verification. Full article
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16 pages, 1382 KB  
Article
Deep-Neural-Network-Based Optimal Design of Cylinder Structures Under Hydrostatic Pressure
by Sang-Hyun Park and Sung-Ju Park
Appl. Sci. 2026, 16(5), 2229; https://doi.org/10.3390/app16052229 - 26 Feb 2026
Viewed by 333
Abstract
The structural design of unstiffened cylindrical shells under external hydrostatic pressure is critical for the safety of marine structures, such as submarine hulls and pressure vessels. Accurately assessing nonlinear buckling and collapse failure modes traditionally requires computationally intensive Finite Element Analysis (FEA), which [...] Read more.
The structural design of unstiffened cylindrical shells under external hydrostatic pressure is critical for the safety of marine structures, such as submarine hulls and pressure vessels. Accurately assessing nonlinear buckling and collapse failure modes traditionally requires computationally intensive Finite Element Analysis (FEA), which creates a bottleneck in iterative design optimization. To address this, our research leverages a robust Deep Neural Network (DNN) model specifically trained and validated for AL-6061 aluminum alloy cylinders. This predictive model, focusing on unstiffened cylindrical shells within a valid domain (2L/D15 and 20D/t150), integrates a high-speed surrogate model with a Differential Evolution (DE) algorithm. This predictive model was trained on a large-scale dataset of 46,060 points generated through FEA simulations and rigorously validated against 28 physical experimental data points. Building upon this foundation, the present study implements a novel optimization framework that integrates the pre-trained DNN as a high-speed surrogate model with a Differential Evolution (DE) algorithm for global optimization. The primary objective is to minimize structural weight while strictly satisfying collapse strength requirements. Additionally, a grid search component is incorporated to provide designers with multiple feasible design candidates almost instantaneously. Validation against independent FEA results confirms high fidelity, with error rates of less than 2%. This methodology transforms the design cycle from days to mere minutes, establishing a reusable digital asset that significantly enhances efficiency and structural safety in marine engineering. Full article
(This article belongs to the Section Marine Science and Engineering)
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