Thin-Walled Structures最新文献_第9页

Experimental and numerical assessment of steel and concrete composite curved panels (SCCCPs) for modular wind turbine tower 组合式风力发电塔架钢与混凝土复合弯曲板的试验与数值评估

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-17 DOI: 10.1016/j.tws.2026.114554

Jafar Mohammadi Tekantappeh, Mariela Mendez-Morales, Carlos Rebelo, Hélder D․ Craveiro, Rui A․ Simões

This paper presents an experimental and numerical investigation into the axial performance of six Steel and Concrete Composite Curved Panels (SCCCPs) designed as modular components for a self-erecting wind turbine tower. Both compressive and tensile behaviors were evaluated on scaled specimens, which serve as representative modules of the Self-Erecting Tower (SeT) system. Compression tests revealed that failure was primarily governed by global buckling of the steel frame coupled with concrete crushing, while tensile tests indicated that failure predominantly occurred at the bolted steel connections. High-resolution Digital Image Correlation (DIC) was employed to monitor crack initiation, propagation, and strain distribution across the SCCCPs, additionally providing a detailed insight into damage mechanisms. A finite element model was developed using ABAQUS and calibrated against the experimental results. Following, a Geometrically and Materially Nonlinear Analysis with Imperfections (GMNIA) was performed, accurately capturing both global and local failure modes. The numerically predicted load-displacement responses showed close alignment with the experimental observations. Additionally, a sensitivity study on initial geometric imperfections highlighted their critical impact on axial capacity and panel stability. The modeling approach incorporated material behavior and design parameters consistent with Eurocode provisions, offering a framework that supports future design optimization within standardized European practice. The ultimate resistance of SCCCPs was also calculated based on the design provisions of AISC, CECS, and EC4. Overall, the results validate the structural feasibility and mechanical reliability of the proposed modular concept, highlighting its potential for application in advanced wind turbine tower systems.

本文对自立式风力发电塔架的六块钢筋混凝土复合弯曲板（scccp）的轴向性能进行了试验和数值研究。以自立塔（SeT）体系为代表，对其压缩性能和拉伸性能进行了评价。压缩试验表明，破坏主要是由钢框架的整体屈曲和混凝土破碎引起的，而拉伸试验表明，破坏主要发生在螺栓连接的钢连接处。采用高分辨率数字图像相关（DIC）来监测scccp的裂纹萌生、扩展和应变分布，此外还提供了对损伤机制的详细了解。利用ABAQUS建立了有限元模型，并根据实验结果进行了校正。随后，进行了几何和材料非线性缺陷分析（GMNIA），准确捕获了全局和局部失效模式。数值预测的荷载-位移响应与实验结果吻合较好。此外，对初始几何缺陷的敏感性研究强调了它们对轴向能力和面板稳定性的关键影响。建模方法结合了符合欧洲规范规定的材料性能和设计参数，提供了一个支持标准化欧洲实践中未来设计优化的框架。根据AISC、CECS和EC4的设计规定计算scccp的极限阻力。总体而言，结果验证了所提出的模块化概念的结构可行性和机械可靠性，突出了其在先进风力发电塔架系统中的应用潜力。

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引用次数: 0

Nonlinear dynamic response of piezoelectric sandwich beams resting on Winkler foundation 基于温克勒地基的压电夹层梁的非线性动力响应

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-17 DOI: 10.1016/j.tws.2026.114547

Krzysztof Kuliński , Jacek Przybylski

The influence of piezoelectric actuation on transverse vibrations of a slender non uniform elastic sandwich beam with two symmetrically bonded piezoceramic layers and resting on elastic foundation is studied in this work. Three types of supports restraining both beam's ends against axial displacement are investigated. Due to the immovable ends of the beam, an in-plane tensile force appears during the system's vibration. This effect is modified by the piezoelectric force, which dependently on the direction of the electric field vector, either counteract or enlarge the beam's stretching. The governing equations with nonlinear terms are formulated through Hamilton’s principle. Employing a generalized Lindstedt-Poincarè method, according to which the axial force, the lateral displacements and the natural frequency are expanded into exponential series with respect to a small amplitude parameter, an infinite set of consecutive equations of motion and axial force components is derived. The first four equations are solved analytically to derive a transcendental equation for the linear frequency and an equation expressing the amplitude-frequency relationship. The effects of the ratio of the piezosegment’s length to the beam's length and the foundation stiffness on the natural vibration frequency are investigated. Special attention is paid on the influence of applied voltage on the amplitude – nonlinear frequency relationship to demonstrate that the hardening effect dominates the nonlinearity. The tensile piezoelectric force increases the linear natural frequency but decreases the nonlinear effect, while the compressing force decreases the linear frequencies but increases the nonlinear effect. Numerical simulations show the efficiency of the proposed approach.

本文研究了压电驱动对基于弹性基础的两层对称粘接的非均匀弹性夹层梁横向振动的影响。研究了抑制梁两端轴向位移的三种支承形式。由于梁的两端不可移动，在系统振动过程中会出现面内拉力。这种效应是由压电力修正的，它依赖于电场矢量的方向，抵消或扩大梁的拉伸。利用哈密顿原理建立了非线性项的控制方程。采用广义Lindstedt-Poincarè方法，将轴向力、横向位移和固有频率对一个小振幅参数展开成指数级数，推导出运动分量和轴向力分量的无穷连续方程组。对前四个方程进行解析求解，得到线性频率的超越方程和幅频关系的超越方程。研究了压电段长度与梁长之比和基础刚度对自振频率的影响。特别注意了外加电压对振幅-非线性频率关系的影响，证明了硬化效应主导了非线性。拉伸压电力提高了线性固有频率，但减小了非线性效应，压缩力降低了线性固有频率，但增加了非线性效应。数值仿真结果表明了该方法的有效性。

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引用次数: 0

Inflation and instability responses of an incompressible transversely isotropic hyperelastic spherical shell: Role of constitutive models 不可压缩横向各向同性超弹性球壳的膨胀和失稳响应：本构模型的作用

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-17 DOI: 10.1016/j.tws.2026.114552

Safa Mathlouthi , Mounir Methia , Khalil Mansouri , Abdelhakim Benslimane , Makrem Arfaoui

Hollow spheres and balloons made of soft materials are pivotal to engineering, biomedical applications, and industrial design. In this study, the inflation behavior and stress distribution in a spherical shell composed of incompressible transversely isotropic hyperelastic materials are investigated under internal and external pressures. An analytical solution is derived for a hollow sphere using four hyperelastic potentials, all compatible with the three material parameters of incompressible transversely isotropic linear theory in the small deformation regime. To verify the analytical formulation, a finite element model of a pressurized spherical vessel is developed, in which the constitutive models are implemented. A strong agreement is observed between the non-dimensional analytical stress components and finite element results, confirming the correctness of both approaches. Furthermore, closed-form analytical pressure–stretch relations are obtained, allowing the identification of inflation instabilities such as limit-point and inflation-jump phenomena. The occurrence and nature of these instabilities are shown to depend strongly on the choice of constitutive model and material parameters. Finally, parametric investigations reveal the influence of geometric and material ratios on the pressure–stretch response.

软质材料制成的空心球体和气球在工程、生物医学应用和工业设计中至关重要。本文研究了由不可压缩的横各向同性超弹性材料组成的球壳在内外压力作用下的膨胀行为和应力分布。利用四个超弹性势，导出了一个空心球的解析解，这四个超弹性势都符合不可压缩横向各向同性线性理论的三个材料参数。为了验证解析公式，建立了一个加压球形容器的有限元模型，并在其中实现了本构模型。无因次应力分析结果与有限元结果吻合较好，证实了两种方法的正确性。此外，还得到了封闭形式的分析压力-拉伸关系，从而可以识别极限点和膨胀-跳跃现象等膨胀不稳定性。这些不稳定性的发生和性质在很大程度上取决于本构模型和材料参数的选择。最后，参数研究揭示了几何比和材料比对压力-拉伸响应的影响。

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引用次数: 0

Bragg scattering of surface gravity waves by periodic thin plates 周期性薄板对表面重力波的布拉格散射

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-16 DOI: 10.1016/j.tws.2026.114549

Huaqing Jin , Xiaofan Li , Rui Ding , Xinyi Xie , Jiaxin Zhou , Haicheng Zhang

Utilizing periodic structures to control wave propagation is an advanced technological approach in the fields of optics, acoustics, and fluid dynamics. This study proposes a new periodic thin-plate structure for water wave attenuation by exploiting the Bragg resonance mechanism. Based on linear wave theory, a wave–structure interaction model is developed, and the associated boundary-value problem is solved using the eigenfunction expansion method. To address the local velocity singularity near the tips of thin plates, an auxiliary function is constructed to approximate the velocity distribution there. The accuracy of the model is verified through convergence analysis and comparison with published results. Numerical simulations are carried out to investigate the propagation characteristics of waves interacting with the periodic thin-plate structures. The effects of wave conditions, plate number, plate length, and lattice constant are examined. The plates were found to have an effective ability to reflect waves. Furthermore, laboratory experiments were performed in a wave tank to verify the theoretical model. In addition to the Bragg resonance effect, energy dissipation is observed as waves passed through the thin-plate array. The research presented in this study may provide a new technical approach for marine and coastal protection.

利用周期结构控制波的传播是光学、声学和流体力学领域的一项先进技术。本研究利用布拉格共振机制，提出了一种新的水波衰减周期薄板结构。基于线性波理论，建立了波-结构相互作用模型，并利用特征函数展开法求解了相应的边值问题。为了解决薄板尖端附近的局部速度奇点问题，构造了一个辅助函数来近似那里的速度分布。通过收敛分析和与已发表结果的比较，验证了模型的准确性。通过数值模拟研究了波与周期性薄板结构相互作用时的传播特性。考察了波动条件、板数、板长和晶格常数的影响。人们发现这些板具有反射波的有效能力。并在波浪槽中进行了室内实验，对理论模型进行了验证。除了布拉格共振效应外，当波通过薄板阵列时还观察到能量耗散。本研究为海洋和海岸防护提供了一条新的技术途径。

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引用次数: 0

The role of geometry in the rapid snap-through of hummingbird beak-inspired morphing structures 几何在蜂鸟喙形变形结构快速穿透中的作用

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-16 DOI: 10.1016/j.tws.2026.114545

Hong-Xin Lu , Jiajia Shen , Martin Garrad , Mostafa Salem , Jing-Zhong Tong , Alberto Pirrera , Rainer M.J. Groh

Achieving efficient, high-speed, and controllable actuation remains a central challenge in soft robotics. Nature serves as a rich source of inspiration for addressing this bottleneck. This paper investigates the influence of geometric morphology on the snap-through behaviour of a soft-robotic end-effector inspired by the hummingbird beak—a biological system highly evolved for rapid closure driven by instability. We aim to elucidate the mechanical principles governing this swift shape-shifting response to guide the design of bio-inspired, fast-response robots. We develop a parametric finite element model of the beak-inspired structure using beam elements in the commercial finite element package Abaqus. The model simulates the beak-inspired structure’s nonlinear response under actuation inputs. We focus on the strain energy released during the snap-through instability, a key quantity influencing the rapid movement of the beak-inspired structure. Parametric studies explore the effects of beak geometry, including both its beam axis and cross-sectional properties. To gain insight into how geometric parameters affect behaviour, we develop a post-processing script to unveil how local strain energy variations contribute to the overall energy release. Furthermore, we conduct a structural optimisation of the beak-inspired structure’s geometry, considering both its beam axis and cross-sectional properties. The resulting optimised shape confirms the trends observed in the parametric studies and correlates strongly with the morphology of the hummingbird beak as shown by computed tomography scans found in the literature—the latter having been optimised for performance through natural selection. Drawing inspiration from the hummingbird beak, this work underscores the role of geometric design as a means to achieve rapid movement in soft robotic systems through nonlinear mechanics. A clear understanding of this relationship is thus vital to elucidate the mechanical principles governing snap-through motion and to unlock its potential for biomimetic applications in soft robotics—a field where efficient, high-speed, and controllable actuation is a central objective.

实现高效、高速和可控的驱动仍然是软机器人的核心挑战。大自然是解决这一瓶颈的丰富灵感来源。本文研究了受蜂鸟喙启发的软体机器人末端执行器的几何形态对快速闭合行为的影响，这是一种高度进化的生物系统，由不稳定性驱动。我们的目标是阐明控制这种快速变形反应的机械原理，以指导仿生快速反应机器人的设计。利用商业有限元软件Abaqus中的梁单元，建立了喙形结构的参数化有限元模型。该模型模拟了驱动输入下的喙形结构的非线性响应。我们重点研究了在断裂失稳过程中释放的应变能，这是影响喙形结构快速运动的关键量。参数研究探讨了鸟喙几何形状的影响，包括其光束轴和横截面特性。为了深入了解几何参数如何影响行为，我们开发了一个后处理脚本，以揭示局部应变能变化如何有助于整体能量释放。此外，考虑到其梁轴和横截面特性，我们对喙形结构的几何形状进行了结构优化。所得到的优化形状证实了参数化研究中观察到的趋势，并与文献中发现的蜂鸟喙的计算机断层扫描显示的形态密切相关——后者通过自然选择优化了性能。从蜂鸟喙中汲取灵感，这项工作强调了几何设计作为一种通过非线性力学实现软机器人系统快速运动的手段的作用。因此，清楚地理解这种关系对于阐明控制snap-through运动的机械原理以及释放其在软机器人仿生应用中的潜力至关重要。软机器人是一个以高效、高速和可控驱动为中心目标的领域。

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引用次数: 0

Gear-tuning meta-shaft for low-frequency torsional vibration suppression 用于低频扭转振动抑制的齿轮调谐中轴

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-16 DOI: 10.1016/j.tws.2026.114551

Dongxian Wang , Hao Zhou , Jianlei Zhao , Zhou Hu , Yangyang Chen , Rui Zhu

Metastructures can be engineered with low-frequency torsional band gaps, which provides a new solution for vibration suppression in shaft systems. However, achieving precise, reversible and robust tunability remains challenging, particularly in shaft systems due to the limited space preventing the implementation of tunable designs with complex mechanisms or additional control units. In this study, a tunable meta-shaft with self-locking gear (SLG) resonators is proposed, where the vibration suppression frequency range of the meta-shaft can be adjusted precisely with a simple gear-tuning mechanism without adding resonator’s mass. By shifting the SLG teeth to control the deformation of the six curved beams in the SLG resonators, the torsional stiffness and resonant frequency can be effectively modulated, thereby enabling the generation of tunable low-frequency torsional band gaps. The torsional wave attenuation performance of the meta-shaft with periodically attached SLG resonators is evaluated numerically, and a prototype is fabricated to experimentally verify its robust and tunable vibration suppression capability. Consistent results among theoretical analysis, numerical simulations, and experiments verify the effectiveness and scalability of the proposed tuning strategy for adaptable torsional vibration control in shaft systems.

元结构可以设计为低频扭转带隙，这为轴系的振动抑制提供了新的解决方案。然而，实现精确、可逆和稳健的可调性仍然具有挑战性，特别是在轴系中，由于空间有限，无法实现复杂机构或额外控制单元的可调设计。本研究提出了一种带自锁齿轮（SLG）谐振器的可调谐元轴，在不增加谐振器质量的情况下，通过简单的齿轮调谐机构可以精确调节元轴的抑振频率范围。通过移动SLG齿来控制SLG谐振腔内6根弯曲梁的变形，可以有效地调制扭转刚度和谐振频率，从而产生可调的低频扭转带隙。通过数值计算对周期性附加SLG谐振器的轴轴扭波衰减性能进行了评价，并制作了样机，实验验证了其鲁棒性和可调的减振能力。理论分析、数值模拟和实验结果一致，验证了该调谐策略在轴系扭振自适应控制中的有效性和可扩展性。

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引用次数: 0

Acoustic black hole structures for vibration reduction of orthotropic steel bridge decks 正交各向异性钢桥面减振的声黑洞结构

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-15 DOI: 10.1016/j.tws.2026.114548

Xun Zhang , Yingming Zhen , Enchi Hu , Yinhui Bao , Keer Cui , Xianchao Fu , Anqing Hu

Steel bridges are extensively utilized due to their superior mechanical properties and consistency with sustainable development objectives. However, the challenges of vibration and structure-borne noise induced by moving vehicle loads remain unresolved. This study presents a vibration mitigation concept for steel bridges based on the acoustic black hole (ABH) theory, in which variable-thickness U-rib stiffened panels are treated as ABH structures. Considering the periodic arrangement of U-ribs, the finite element method is employed to examine variations in vibration bandgap characteristics and attenuation performance across different frequency ranges. The results demonstrate that, compared to equivalent uniform-thickness U-rib panels of identical mass and rib height, the ABH-U rib stiffened panels broaden the overall bandgap width and modify the bandgap distribution. The ABH-U plates exhibit significant vibration reduction both within and beyond the band gaps. Parametric analysis indicates that tuning the structural parameters of ABH-U plates enables customized vibration control within specific frequency ranges. Among these parameters, the maximum thickness of the variable-thickness U-rib exerts a strong effect on vibration suppression. A case study on a practical steel box-girder segment shows that incorporating ABH-U ribs into the steel box girder achieves measurable vibration reduction across both bandgap and full frequency ranges, with particularly remarkable performance in controlling transverse vibrations. Proper design of U-rib parameters ensures more desirable vibroacoustic performance within the targeted frequency bands.

钢结构桥梁因其优越的力学性能和符合可持续发展目标而得到广泛应用。然而，由移动车辆荷载引起的振动和结构噪声的挑战仍然没有得到解决。本文提出了一种基于声黑洞理论的钢桥减振概念，将变厚u肋加筋板视为声黑洞结构。考虑u形肋的周期性排列，采用有限元方法研究了不同频率范围内振动带隙特性和衰减性能的变化。结果表明：与同等质量、同等肋高的等厚u肋板相比，ABH-U肋加筋板能提高带隙宽度，改变带隙分布；ABH-U板在带隙内外均表现出显著的减振效果。参数分析表明，调整ABH-U板的结构参数可以在特定频率范围内实现定制振动控制。其中变厚u型肋的最大厚度对减振效果较好。实际钢箱梁段的实例研究表明，在钢箱梁段中加入ABH-U肋，在带隙和全频率范围内均可实现可测量的减振，特别是在控制横向振动方面效果显著。合理设计u形肋参数可确保在目标频带内获得更理想的振声性能。

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引用次数: 0

Resilience assessment of the proposed buckling restrained braces with FRP-tube with experimental and analytical investigations 基于实验和分析研究的frp管屈曲约束支撑的回弹性评估

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-15 DOI: 10.1016/j.tws.2026.114546

Mohammadsina Sharifi Ghalehnoei , Ebrahim Zamani Beydokhti , Amir Bazrafshan Moghaddam

The present research introduces a proposed, concrete-filled Fiber-Reinforced Polymer (FRP) tube Buckling-Restrained Brace (BRB) as a lightweight and corrosion-resistant alternative to a conventional steel-tube BRB. This study combined experimental tests and finite element (FE) modeling to investigate the system. Experimental tests were conducted on two types of BRB specimens: one with a concrete-infilled steel tube and another with a concrete-infilled Carbon Fiber-Reinforced Polymer (CFRP) tube. The CFRP tube provided global buckling restraint and exhibited stable, symmetric hysteretic behaviour comparable to that of the steel-tube BRB, though it failed by CFRP rupture at high compression. A validated FE model was then used to perform a parametric study of 12 additional specimens with varied modified FRP strip arrangements and materials. The impact of several factors, including the length of CFRP and Glass Fiber-Reinforced-Polymer (GFRP) strips, the thickness, and the type of CFRP and GFRP tubes on the hysteretic behavior and BRB performance, was examined. The results showed that fully FRP wrapping provided the best confinement and delayed concrete cracking (in the FTC2 and FTG1 specimens). GFRP-tube BRBs had the same hysteretic stability and compressive strength in comparison to CFRP ones, though this was achieved by the addition of more GFRP layers to counter the reduced elastic modulus. Altogether, CFRP tube BRB can be experimentally confirmed as an effective alternative to steel-tube BRBs, and the parametric studies indicate that GFRP-tube BRBs can provide a more cost-effective solution in case moderate stiffness loss can be tolerated. These results demonstrate the potential of FRP-tube BRBs to reduce system weight by about 12-16%, enhance corrosion resistance, and support stable structural performance.

目前的研究介绍了一种拟议的混凝土填充纤维增强聚合物（FRP）管抗屈曲支撑（BRB），作为传统钢管BRB的轻质耐腐蚀替代品。本研究结合实验测试和有限元建模对该系统进行了研究。对两种类型的BRB试件进行了试验试验，一种是钢管混凝土，另一种是碳纤维增强聚合物混凝土（CFRP）管。CFRP管提供了整体屈曲约束，并表现出与钢管BRB相当的稳定、对称的滞回行为，尽管它在高压缩下因CFRP破裂而失效。然后使用验证的有限元模型对另外12个具有不同改性FRP条排列和材料的试件进行参数化研究。考察了碳纤维增强材料（CFRP）和玻璃钢（GFRP）带的长度、厚度以及碳纤维增强材料（CFRP）和玻璃钢管的类型等因素对其滞回性能和BRB性能的影响。结果表明，在FTC2和FTG1试件中，全FRP包覆提供了最好的约束和延迟混凝土开裂效果。与CFRP相比，GFRP管brb具有相同的滞后稳定性和抗压强度，尽管这是通过添加更多的GFRP层来抵消降低的弹性模量来实现的。综上所述，CFRP管BRB可以作为钢管BRB的有效替代品，参数研究表明，在中等刚度损失可以容忍的情况下，gfrp管BRB可以提供更具成本效益的解决方案。这些结果表明，frp管brb可以将系统重量减轻约12-16%，提高耐腐蚀性，并支持稳定的结构性能。

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引用次数: 0

A simplified analytical solution for strain conversion in miniaturized thin-plate creep tests 小型化薄板蠕变试验应变转换的简化解析解

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-15 DOI: 10.1016/j.tws.2026.114544

Ming Li , Xiaoyi Shi , Yan Wang , Laohu Long , Jihui Yang , Xiufang Gong , Zhixun Wen , Zhufeng Yue , Wei Sun

This study examines the steady-state creep behavior of miniaturized thin-plate specimens (MTPS) with varying geometries to assess the influence of fillet regions on high-temperature uniaxial creep. Specimens with different geometry configurations were tested under constant stresses of 70, 85, and 100 MPa at 600 °C. A simplified analytical method was developed to account for fillet contributions, enabling conversion of measured crosshead displacements to equivalent uniform-section strain values, and its accuracy was validated through finite element (FE) simulations. The experimental results indicate that an increase in the uniform gauge section length generally leads to a higher steady-state creep rate, whereas larger fillet sizes also tend to slightly increase the secondary-stage creep deformation, though the effect is less pronounced. Comparisons between the experimentally measured and converted data confirm that the proposed method effectively compensates for fillet effects, yielding stress exponents and minimum creep rates consistent with those of standard specimens. These findings highlight the significant role of specimen geometry in high-temperature creep and demonstrate the method’s reliability for interpreting MTPS creep data.

本研究考察了具有不同几何形状的小型化薄板试件（MTPS）的稳态蠕变行为，以评估圆角区域对高温单轴蠕变的影响。不同几何形状的试样在600℃、70、85和100 MPa的恒定应力下进行了测试。开发了一种简化的分析方法来考虑圆角的贡献，可以将测量的十字头位移转换为等效的均匀截面应变值，并通过有限元模拟验证了其准确性。试验结果表明，均径截面长度的增大通常会导致稳态蠕变速率的增大，而圆角尺寸的增大也会导致二次蠕变变形的轻微增加，但影响不太明显。实验测量数据与转换数据的对比证实，该方法有效地补偿了圆角效应、屈服应力指数和与标准试样一致的最小蠕变速率。这些发现突出了试样几何形状在高温蠕变中的重要作用，并证明了该方法解释MTPS蠕变数据的可靠性。

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引用次数: 0

Physics-informed neural networks for nonlocal beam eigenvalue problems 非局部光束特征值问题的物理信息神经网络

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures

Pub Date : 2026-01-14 DOI: 10.1016/j.tws.2026.114530

Baidehi Das , Raffaele Barretta , Marko Čanađija

The present study investigates the dynamics of stress-driven nonlocal elastic beams exploiting the Physics-Informed Neural Network (PINN) approach. Specifically, a PINN is developed to compute the first eigenfunction and eigenvalue arising from the underlying sixth-order ordinary differential equation. The PINN is based on a feedforward neural network, with a loss function composed of terms from the differential equation, the normalization condition, and both classical boundary and constitutive boundary conditions. Relevant eigenvalues are treated as separate trainable variables. The results demonstrate that the proposed method is a powerful tool for addressing the complexity of the problem. The obtained results are compared with benchmark analytical solutions and show strong agreement.

本研究利用物理信息神经网络（PINN）方法研究应力驱动的非局部弹性梁的动力学。具体地说，我们开发了一个PINN来计算由六阶常微分方程产生的第一特征函数和特征值。该方法基于前馈神经网络，其损失函数由微分方程项、归一化条件、经典边界条件和本构边界条件组成。相关特征值被视为单独的可训练变量。结果表明，该方法是解决复杂问题的有力工具。所得结果与基准解析解进行了比较，结果吻合较好。

引用次数: 0