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Physics-informed neural networks framework for functionally graded cylinder: Forward analysis, inverse material identification, and stress-driven optimization 物理信息神经网络框架的功能梯度圆柱体:正向分析,逆向材料识别,和应力驱动的优化
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-02-05 DOI: 10.1016/j.engstruct.2026.122224
Jun Xie , Hui Li , Yongqiang Ye , WenShuai Wang , Xiaofan Gou , Pengpeng Shi
Recent advances in artificial intelligence have established physics-informed neural networks (PINNs) as a transformative paradigm for solving complex mechanics problems. This paper presents a unified PINN framework that comprehensively addresses three fundamental problems in functionally graded materials (FGMs) cylinder analysis: forward prediction, inverse identification, and stress optimization. The proposed methodology embeds physical laws including constitutive relations and equilibrium equations into a deep learning architecture, yielding a meshless solution with rigorous mechanical consistency. For forward problems, the framework accurately predicts displacement and stress fields under arbitrary material gradations. The inverse solution enables simultaneous identification of gradient parameters and Young's modulus with high precision. For optimization challenges, the architecture introduces coupled displacement-material networks with exact boundary condition enforcement and a multi-objective loss function that achieves stress minimization while maintaining mechanical equilibrium. Numerical results demonstrate three key capabilities: (1) PINN achieves excellent agreement with reference solutions in forward analysis of FGMs cylinders arbitrarily varying material properties, (2) the inverse problem yields accurate identification of both the gradient parameter and the varying Young’s modulus, even under measurement noise, and (3) the optimization problem outperforms conventional power-law distributions by reducing peak von Mises stress while preserving exact mechanical consistency. The integrated framework combines the computational efficiency of parametric methods with the design freedom of free-form optimization, offering an end-to-end solution from problem formulation to sensitivity analysis. This research establishes PINNs as a versatile tool for FGMs design, providing both theoretical foundations and practical methodologies for engineering applications ranging from mechanical analysis to optimal material design.
人工智能的最新进展已经建立了物理信息神经网络(pinn)作为解决复杂力学问题的变革范例。本文提出了一个统一的PINN框架,全面解决了功能梯度材料(fgm)圆柱体分析中的三个基本问题:正向预测、反向识别和应力优化。所提出的方法将包括本构关系和平衡方程在内的物理定律嵌入到深度学习架构中,从而产生具有严格力学一致性的无网格解。对于正演问题,该框架可以准确预测任意材料级配下的位移和应力场。该反解能够高精度地同时识别梯度参数和杨氏模量。对于优化挑战,该架构引入了具有精确边界条件执行和多目标损失函数的耦合位移-材料网络,该网络在保持机械平衡的同时实现应力最小化。数值结果展示了三个关键能力:(1)在任意改变材料性能的fgm圆柱体的正演分析中,PINN与参考解非常一致;(2)即使在测量噪声下,反问题也能准确识别梯度参数和变化的杨氏模量;(3)优化问题优于传统的幂律分布,在保持精确力学一致性的同时降低了峰值von Mises应力。该集成框架结合了参数化方法的计算效率和自由形式优化的设计自由度,提供了从问题制定到灵敏度分析的端到端解决方案。本研究建立了pin作为fgm设计的通用工具,为从力学分析到最佳材料设计的工程应用提供了理论基础和实践方法。
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引用次数: 0
Full-scale multi-stage negative stiffness device for damping enhancement of cable-damper system 索-阻尼系统全尺寸多级负刚度增阻尼装置
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-02-09 DOI: 10.1016/j.engstruct.2026.122318
Hui Gao , Miao Li , Hao Wang , Jianxiao Mao , Dubo Wang , Jianan Li , Zhihao Wang
Negative stiffness dampers (NSDs) have proved more effective than viscous dampers in mitigating cable multi-mode vibrations. However, the full-scale negative-stiffness-damper systems that can satisfy the damping requirements of ultra-long stay cables remain scarce. In addition, an accurate formula for the modal damping ratio (MDR) in higher cable modes should be further derived to optimize the installed location and design parameters of the NSDs. To this end, this study proposed a multi-stage negative stiffness damper (MSNSD) system. In particular, the multi-stage negative stiffness device (MSNS) is fabricated based on the pre-compressed disc springs. Theoretical analysis and experimental tests were conducted to investigate the dynamic properties and establish the mechanical model of the MSNS. In addition, a more accurate formula for the MDR of the cable with MSNSD was developed. On this basis, the practical design methods for mitigating cable multi-mode vibrations were proposed to optimize the installed location and parameters of the MSNSD. The results showed that the developed formula can accurately predict the MDR for all the under-damped cable modes. By optimizing the installed location and design parameters, the MSNSD is expected to satisfy the damping requirements for suppressing rain-wind-induced vibrations and vortex-induced vibrations, simultaneously.
负刚度阻尼器(nsd)在减轻电缆多模态振动方面比粘性阻尼器更有效。然而,能够满足超长斜拉索阻尼要求的全尺寸负刚度阻尼系统仍然很少。此外,还需要进一步推导出更高模态下的模态阻尼比(MDR)的精确公式,以优化nsd的安装位置和设计参数。为此,本研究提出了多级负刚度阻尼器(MSNSD)系统。特别是基于预压缩盘式弹簧的多级负刚度装置(MSNS)。通过理论分析和实验试验,研究了其动态特性,建立了其力学模型。在此基础上,提出了一种更精确的MDR计算公式。在此基础上,提出了减轻缆索多模态振动的实用设计方法,以优化MSNSD的安装位置和参数。结果表明,所建立的公式能够准确地预测各种欠阻尼索模态的MDR。通过优化安装位置和设计参数,MSNSD有望同时满足抑制风雨振动和涡激振动的阻尼要求。
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引用次数: 0
Seismic responses of interacted suspended ceiling and piping systems: Shaking table tests 相互作用的吊顶和管道系统的地震反应:振动台试验
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-01-21 DOI: 10.1016/j.engstruct.2026.122165
Tao Wang , Xichen Wei , Nan An , Qingxue Shang
Post-earthquake normal use of nonstructural components (NSCs) including suspended ceiling and piping systems is important to achieve seismic resilient buildings. Seismic damage of such nonstructural systems will not only lead to huge economic loss but also affect the normal operation of a building. The existing previous researches have mostly tested ceiling and piping systems as two independent nonstructural systems. The seismic interaction between suspended ceiling and piping systems usually aggravated earthquake damage of such NSCs and the interaction effects still need detailed investigations. This paper reports shaking table test results of interacted suspended ceiling and piping systems. A 3.8 m × 3.8 m suspended ceiling with lay-in panels, and two sprinkler piping systems including both vertical and horizontal pipelines were installed in a loading frame to be subject to the same seismic inputs. The seismic responses and damages of interacted ceiling and piping systems were evaluated and vulnerable components were identified based on shaking table test results. This paper discusses the beneficial effects of reducing clearance between the perimeter angle and main tee runner on seismic performance of ceiling system. The interacted pounding behavior between the vertical pipeline and surrounding ceiling panel is demonstrated. The test results indicated that component dynamic amplification factors are usually varied for different ceiling and piping components. The code recommended constant values are not consistent with the test results and modification of design codes should be made in the future.
震后正常使用非结构构件(NSCs),包括吊顶和管道系统,对实现抗震建筑至关重要。这种非结构体系的地震破坏不仅会造成巨大的经济损失,而且会影响建筑物的正常使用。现有的研究大多将吊顶和管道系统作为两个独立的非结构体系进行测试。吊顶与管道系统之间的地震相互作用通常会加剧这种结构的地震破坏,相互作用的影响还需要进一步研究。本文报道了吊顶与管道相互作用的振动台试验结果。一个3.8米× 3.8米的吊顶,带有嵌板,以及两个洒水管道系统,包括垂直和水平管道,安装在一个荷载框架中,以承受相同的地震输入。基于振动台试验结果,对顶板和管道相互作用系统的地震反应和损伤进行了评估,并对易损件进行了识别。本文讨论了减小周角与主三通流道间隙对吊顶体系抗震性能的有益影响。分析了垂直管道与周围顶板的相互冲击行为。试验结果表明,不同的吊顶构件和管道构件的动态放大系数是不同的。规范推荐的常数值与试验结果不一致,今后应对设计规范进行修改。
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引用次数: 0
Systematic load tests for the preservation of railway masonry arch bridges – Experimental concept and insights from static loading 铁路砌体拱桥保存的系统荷载试验。静态荷载的试验概念和见解
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-01-23 DOI: 10.1016/j.engstruct.2026.122166
Jenny Keßler, Chongjie Kang, Steffen Marx
The preservation and continued use of historical arch bridges are of particular relevance, as they constitute a substantial proportion of the existing bridge stock in Germany and are of both infrastructural and cultural significance. To develop standardized methods for assessing these existing structures, a series of load tests has been carried out. This work establishes the requirements for selected bridges, validates the applied measurement concepts, and outlines the corresponding test design and procedures. As a result, the evaluation of static load positions demonstrates the remarkable robustness of these structures, characterized by an elastic load-bearing behavior under service loads and an effective distribution of loads across the entire cross-section, even in the presence of damage. Besides, a comparison of different structures reveals the significant influence of filling on the displacement behavior, whereas the impact of subsoil-structure interaction proves to be minor, even after long-term service. Furthermore, the results underscore conservative assumptions in current recalculations standards, particularly concerning the effective cross-section and the consideration of the spandrel walls in the structural assessment.
保存和继续使用历史拱桥是特别重要的,因为它们构成了德国现有桥梁存量的很大一部分,具有基础设施和文化意义。为了制定评估这些现有结构的标准化方法,进行了一系列负荷试验。这项工作建立了选定桥梁的要求,验证了应用的测量概念,并概述了相应的测试设计和程序。因此,对静载荷位置的评估表明,这些结构具有显著的鲁棒性,其特点是在使用载荷下具有弹性承载性能,即使在存在损伤的情况下,载荷也能有效地分布在整个截面上。此外,不同结构的对比表明,填筑对位移行为的影响显著,而地基-结构相互作用的影响较小,即使在长期使用后也是如此。此外,结果强调了目前重新计算标准中的保守假设,特别是关于有效截面和结构评估中对拱墙的考虑。
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引用次数: 0
Encodable design of a negative stiffness cylindrical metastructure based on local bulking with multi-step deformation and superior energy absorption 基于多步变形和高能量吸收的负刚度圆柱元结构的可编码设计
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-01-23 DOI: 10.1016/j.engstruct.2026.122226
Shun Wang , Hai-Tao Liu , Guang-Bin Cai
The use of soft materials with large elastic strains as matrix materials and rigid support frameworks that do not participate in deformation limits the energy absorption of negative stiffness metastructures. Here, a negative stiffness cylindrical metastructure (NSCM) with multi-step deformation is designed to enhance the applicability of conventional two-dimensional negative-stiffness metastructures. Star-shaped and star-rhombic structures are introduced as deformable flexible support frames for inclined thin walls, which deform plastically in multi-step deformations, resulting in a significant enhancement of energy-absorbing efficiency. Two types of NSCM are proposed, and the effects of wall thickness and out-of-plane width on deformation stability and compressive mechanical properties are investigated. Thanks to the snap-through behavior of the inclined thin wall and the rotational deformation of the star-rhombic structure, the stress-strain curves of NSCM show discontinuous negative stiffness characteristics. In order to extend the mechanical response modulation range and enhance the deformation stability, the encodable NSCM is further proposed based on the digital encoding method. Programming of deformation behavior and mechanical properties, including specific energy absorption and densification strain, can be achieved by mixing the encoding of “1” and “0” and modulating the encoding ratio of each component. Encodable NSCM realizes the smooth transition of the stress-strain curve from low stress to high stress. Stepwise transition avoids the generation of excessive impact force in a short period of time, which is beneficial to enhance the protective effect and provide new ideas for the design of energy absorption systems in the field of protective engineering.
采用弹性应变大的软质材料作为基体材料和不参与变形的刚性支撑框架,限制了负刚度元结构的能量吸收。为了提高传统二维负刚度元结构的适用性,设计了一种多级变形负刚度圆柱元结构(NSCM)。采用星形和星形结构作为倾斜薄壁的可变形柔性支撑框架,在多步变形中进行塑性变形,从而显著提高吸能效率。提出了两种类型的NSCM,研究了壁厚和面外宽度对变形稳定性和压缩力学性能的影响。由于倾斜薄壁的贯通行为和星形结构的旋转变形,NSCM的应力-应变曲线呈现不连续的负刚度特征。为了扩大机械响应调制范围,提高变形稳定性,在数字编码方法的基础上,进一步提出了可编码的NSCM。通过混合编码“1”和“0”,调节各组分编码比例,可以实现变形行为和力学性能的编程,包括比能吸收和致密化应变。可编码NSCM实现了应力-应变曲线从低应力到高应力的平滑过渡。阶梯式过渡避免了短时间内产生过大的冲击力,有利于增强防护效果,为防护工程领域的吸能系统设计提供新思路。
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引用次数: 0
On the interlaminar tensile strength of curved ceramic matrix composite beams 弯曲陶瓷基复合梁层间抗拉强度研究
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-01-22 DOI: 10.1016/j.engstruct.2026.122233
Wenbo Li , Jintao Zhu , Mingyang Chen , Feipeng Wang , Zeshuai Yuan , Yu Dai , Pengwei Mou , Yajin Mi , Yuankui Lv , Junping Li , Liao-Liang Ke
Accurate measurement of the interlaminar tensile strength (ILTS) is crucial to characterize the delamination failure of the ceramic matrix composites (CMC). Conventional testing method based on ASTM D6415 relies on estimation of moduli of the curved beam, which is ambiguous in practice. In this paper we develop a self-consistent testing method combining the four-point bending test and Digital Image Correlation (DIC) technique. The four-point bending test is responsible for measuring the curved beam strength and the DIC is in charge of extracting the in-situ strains within the curved region. We develop a formula for deriving the moduli of the curved beam from in-situ strains obtained by DIC measurement. In this way, the ILTS can be fully determined based on the testing data without any prior knowledge or estimation on the moduli. With the help of the developed method, the ILTS of the curved beam made of carbon fiber-reinforced CMC is measured. The experiment shows that the failure mode of the CMC curved beam under four-point bending is delamination, and ILTS measurement based on the proposed method is efficient, robust and reliable. We discuss the dependence of measured ILTS value on the moduli to address the necessity of accurate moduli estimation. The effect of the location of strain extraction from DIC is examined in order to reduce the errors of measurement.
层间抗拉强度的准确测量是表征陶瓷基复合材料脱层破坏的关键。基于ASTM D6415的传统测试方法依赖于曲线梁模量的估计,在实际应用中具有模糊性。本文提出了一种结合四点弯曲试验和数字图像相关(DIC)技术的自洽检测方法。四点弯曲试验负责测量弯曲梁的强度,DIC负责提取弯曲区域内的原位应变。我们建立了由DIC测量得到的原位应变推导弯梁模量的公式。这样,可以完全根据测试数据确定ILTS,而无需对模进行任何先验知识或估计。利用所建立的方法,对碳纤维增强CMC弯曲梁的热应力进行了测量。实验表明,CMC弯曲梁在四点弯曲作用下的破坏模式为分层破坏,基于该方法的ILTS测量是高效、鲁棒和可靠的。我们讨论了测量ILTS值对模的依赖关系,以解决精确模估计的必要性。为了减小测量误差,研究了应变提取位置对测量结果的影响。
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引用次数: 0
Vortex-induced vibration control of wind turbine towers using a tuned mass damper-inerter: The method of multiple scales analysis 基于调谐质量阻尼器的风力发电塔涡激振动控制:多尺度分析方法
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-01-22 DOI: 10.1016/j.engstruct.2026.122188
Feng Qian , Yabin Liao
As wind turbines grow taller and more slender, their flexibility and low inherent damping increase vulnerability to vortex-induced vibrations (VIV), threatening structural integrity and fatigue life. While traditional tuned mass dampers (TMDs) can mitigate VIV, their large mass and displacement stroke conflict with compact turbine designs. This study develops a novel analytical nonlinear model of a tuned mass damper-inerter (TMDI) coupled with the wind turbine tower, capturing the fluid–structure-TMDI interaction and deriving primary and secondary resonance responses using the method of multiple scales. Analytical solutions for primary and secondary resonance responses are derived using the method of multiple scales and validated against numerical simulations of the NREL 5-MW baseline turbine. The analytical results, complemented by energy flow analysis, show that the TMDI can provide vibration suppression performance comparable to that of a conventional TMD while reducing the displacement stroke of the auxiliary mass. The energy flow analysis further quantifies the trade-off between stroke reduction and control effectiveness, and is used to identify a range of inerter mass ratios for design consideration. Dynamic stress analysis further demonstrates potential fatigue life improvement. These findings highlight the promise of TMDIs as compact, high-performance vibration mitigation devices and provide a rigorous analytical framework to inform their design in next-generation wind turbines.
随着风力涡轮机变得越来越高、越来越细长,它们的灵活性和较低的固有阻尼增加了对涡激振动(VIV)的脆弱性,威胁到结构的完整性和疲劳寿命。虽然传统的调谐质量阻尼器(TMDs)可以减轻涡激振动,但它们的大质量和位移冲程与紧凑型涡轮设计相冲突。本文建立了一种新型的调谐质量阻尼器(TMDI)与风力发电机组塔架耦合的非线性解析模型,利用多尺度方法捕捉了流固耦合作用,并推导了其主共振和次共振响应。采用多尺度法推导了主共振和二次共振响应的解析解,并通过NREL 5-MW基准涡轮机的数值模拟进行了验证。分析结果与能量流分析相结合,表明TMDI在减小辅助质量位移冲程的同时,具有与传统TMD相当的减振性能。能量流分析进一步量化了冲程减少和控制效果之间的权衡,并用于确定设计考虑的质量比范围。动应力分析进一步证明了潜在的疲劳寿命改善。这些发现突出了TMDIs作为紧凑、高性能减振装置的前景,并为下一代风力涡轮机的设计提供了严格的分析框架。
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引用次数: 0
Seismic performance of confined masonry walls retrofitted with steel members and high-performance materials after earthquake damage 钢构件和高性能材料加固约束砌体墙震害后的抗震性能
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-02-13 DOI: 10.1016/j.engstruct.2026.122324
Peng Jia , Zhao Lidong , Qiao Qiyun , Zhang Jianwei , Gao Xiaopeng
In this study, different retrofitting methods were proposed for confined masonry walls using steel members, ordinary mortar, polymer mortar, and carbon fiber-reinforced polymer (CFRP). In order to study the effectiveness of the proposed retrofitting methods, seven concrete tie-columns confined masonry shear walls were developed, and quasi-static tests were conducted before and after retrofitting. The resulting failure modes, hysteretic behavior, strength, deformation capacity, stiffness degradation, and energy dissipation capacity were compared and analyzed. The results showed that the load-bearing capacities of specimens with single and combined retrofitting were recovered to 81.7 %-93.4 % and 93.7 %-116.7 % of those before retrofitting, respectively. The ductility for the specimen retrofitted with diagonal steel wires was 18.5 % higher than that of the original specimens. The ductility and initial stiffness for specimen retrofitted with CFRP and polymer mortar strip were 29.2 % and 26.0 %, respectively, higher than those of other specimens with combined retrofitting. Further, the energy dissipation capacity of the specimens with single retrofitting was similar to that of the specimens before retrofitting, whereas that of the specimens with combined retrofitting was higher than that before retrofitting. The effectiveness of different retrofitting methods on the seismic performance of the damaged masonry walls was also compared.
在本研究中,提出了使用钢构件、普通砂浆、聚合物砂浆和碳纤维增强聚合物(CFRP)对约束砌体墙进行不同的改造方法。为了研究所提出的加固方法的有效性,设计了7座混凝土系柱约束砌体剪力墙,并在加固前后进行了拟静力试验。结果的破坏模式、迟滞性能、强度、变形能力、刚度退化和耗能能力进行了比较和分析。结果表明:单次加固和联合加固后试件的承载力分别恢复到加固前的81.7 % ~ 93.4 %和93.7 % ~ 116.7 %;经斜钢丝加固后试件的延性比原试件提高18.5% %。CFRP +砂浆条复合加固试件的延性和初始刚度分别比其他复合加固试件高29.2 %和26.0 %。单次加固后的耗能能力与加固前相近,而联合加固后的耗能能力高于加固前。比较了不同加固方法对损伤砌体墙体抗震性能的影响。
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引用次数: 0
Study on the interfacial shear behavior of steel-UHPC glued composite decks 钢- uhpc胶合复合面板界面剪切性能研究
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-02-14 DOI: 10.1016/j.engstruct.2026.122342
Zebin Hu, Cong Zhu, Guanghui Zheng, Yinglan Li, Jun Deng
Steel-ultra-high-performance concrete (UHPC) glued composite decks (SUGCDs) have been developed as an effective solution to enhance the stiffness of the orthotropic steel deck (OSD) while mitigating the stress concentration and welding residual stresses that studs typically induce. The performance of the steel-UHPC interface is crucial in SUGCD systems to ensure composite action. In this study, two types of interfacial treatments were adopted. The first type, called EA interfaces, involves epoxy resin interfaces with sprinkled aggregates (bauxite, steel slag, or silica sand). The second type involves an adhesive interface using styrene-butadiene rubber (SBR) or a dedicated interface adhesive (IA). Push-out tests and finite element (FE) analyses were performed to investigate the shear behavior of these interfaces. The results show that the silica sand-EA interface on sandblasted steel caused failure within the UHPC layer and achieved a high ultimate shear stress of 5.49 MPa. In contrast, the aggregate strength limited the ultimate shear stresses of the bauxite-EA and steel slag-EA interfaces and caused aggregate shear failure. The SBR interface and IA interface reached ultimate shear stress values of approximately 0.6 MPa and 0.45 MPa, respectively. A comparative analysis revealed that the SUGCD with the silica sand-EA interface exhibited a flexural strength 2.6 times that of conventional stud-connected steel-UHPC composite decks and significantly enhanced stiffness.
钢-超高性能混凝土(UHPC)胶合复合桥面(sugcd)是提高正交各向异性钢桥面(OSD)刚度的有效解决方案,同时减轻了钉钉通常引起的应力集中和焊接残余应力。在SUGCD体系中,钢- uhpc界面的性能是保证复合作用的关键。本研究采用两种界面处理方法。第一种称为EA界面,涉及环氧树脂界面与洒料(铝土矿,钢渣或硅砂)。第二种类型涉及使用苯乙烯-丁二烯橡胶(SBR)或专用界面粘合剂(IA)的粘合界面。通过推出试验和有限元分析研究了这些界面的剪切特性。结果表明:喷砂钢的硅砂- ea界面在UHPC层内破坏,达到了5.49 MPa的高极限剪应力;而骨料强度限制了铝土矿- ea和钢渣- ea界面的极限剪应力,导致骨料剪切破坏。SBR界面和IA界面的极限剪应力值分别约为0.6 MPa和0.45 MPa。对比分析表明,具有硅砂- ea界面的SUGCD的抗弯强度是传统螺栓连接钢- uhpc复合桥面的2.6倍,刚度显著提高。
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引用次数: 0
Prediction model for longitudinal reinforcement buckling in reinforced concrete beams and columns with rectilinear hoops 钢筋混凝土带直箍梁柱纵向钢筋屈曲预测模型
IF 6.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-04-15 Epub Date: 2026-02-12 DOI: 10.1016/j.engstruct.2026.122312
Hermawan Sutejo , Yu-Chen Ou
Buckling of longitudinal reinforcement in compression, often followed by low-cycle fatigue fracture in tension, is a primary mechanism driving strength degradation in reinforced concrete flexural members subjected to large-displacement reversals. This study proposes a mechanics-based analytical model to predict the buckling length of longitudinal reinforcement restrained by rectilinear transverse reinforcement. The model captures buckling lengths over a non-integer interval of tie spacings by incorporating end transition regions beyond the outermost hoops bounding the buckling region. The buckling-restraint stiffness is formulated by combining axial and bending components. The axial component is adjusted to reflect hoop type and hook-bent angle through a geometric effectiveness factor, while the bending component is evaluated from the flexural response of transverse ties. The model is validated using 38 beam and 32 column specimens collected from the literature. The proposed model achieves improved accuracy relative to the models by Su et al. and Dhakal & Maekawa, with average prediction errors of 6.5 % for beams and 10.1 % for columns, compared to 9.8 % and 12.3 % for Su et al. and 26.0 % and 22.3 % for Dhakal & Maekawa, respectively. Parametric reanalysis shows that excluding either the axial reduction factor or the bending component increases the error by about 20 %, and neglecting both increases the error by up to 55 %, demonstrating that both mechanisms are essential for reliable buckling-length prediction.
纵向钢筋受压屈曲,往往伴随着低周疲劳断裂,是钢筋混凝土受弯构件在大位移逆转作用下强度退化的主要机制。提出了一种基于力学的纵向钢筋受横向钢筋约束的屈曲长度预测模型。该模型通过将屈曲区域的最外层箍外的端部过渡区域纳入到屈曲区域中来捕获非整数区间内的屈曲长度。屈曲约束刚度由轴向和弯曲分量组合而成。轴向分量通过几何有效系数调整以反映箍型和钩角,弯曲分量由横向拉杆的受弯响应来评估。该模型使用文献中收集的38个梁和32个柱样本进行验证。与Su等人和Dhakal &; Maekawa的模型相比,所提出的模型实现了更高的精度,梁的平均预测误差为6.5 %,柱的平均预测误差为10.1 %,而Su等人和Dhakal &; Maekawa的预测误差分别为9.8 %和12.3 %,26.0 %和22.3% %。参数再分析表明,排除轴向折减因子或弯曲分量会使误差增加约20% %,忽略两者会使误差增加高达55% %,这表明这两种机制对于可靠的屈曲长度预测是必不可少的。
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引用次数: 0
期刊
Engineering Structures
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