Computers & Structures最新文献_第8页

An extended Generalized beam theory formulation for large deformation analyses of perforated Thin-Walled members 多孔薄壁构件大变形分析的广义梁理论扩展公式

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-12-02 DOI: 10.1016/j.compstruc.2025.108052

Liping Duan , Ji Miao , Jincheng Zhao

This paper presents a geometrically exact beam finite element based on the classic Generalized Beam Theory (GBT) for large-deformation analyses of perforated thin-walled sections. The proposed formulation enables the beam to undergo arbitrary cross-sectional deformations, such as in-plane distortion, out-of-plane warping, transverse bending, and extension of the cross-sectional walls. The key novelty of the proposed approach lies in the extension/improvement of a previous GBT formulation for handling linear buckling analyses of perforated thin-section beams, proposed by the authors Duan et al. (2022), to the realm of large-deformation analysis. The geometrically exact kinematic description is built by enriching the cross-section kinematics of a spatially rotated Euler-Bernoulli/Vlasov thin-section beam with some hierarchic deformation modes and using the enrichment functions constructed in terms of signed distance functions to approximate cross-section discontinuities caused by holes. The Neo-Hookean hyperelastic material model is imposed on the proposed beam FE formulation, where an iterative procedure is performed to ensure the plane stress assumption for the stress fields in cross-section walls. The discrete equations are obtained by using the displacement Galerkin method. Some illustrative examples are presented to demonstrate the potential of the proposed beam FE, and the results demonstrate its capability to perform the GBT modal decomposition of buckled configurations of perforated thin-section members.

本文基于经典的广义梁理论（GBT），提出了一种用于多孔薄壁截面大变形分析的几何精确梁有限元。所提出的公式使梁能够经受任意截面变形，如面内变形、面外翘曲、横向弯曲和截面壁的延伸。所提出方法的关键新颖之处在于，将Duan等人（2022）提出的用于处理穿孔薄截面梁线性屈曲分析的先前GBT公式扩展/改进到大变形分析领域。将空间旋转的Euler-Bernoulli/Vlasov薄截面梁的截面运动学丰富为若干层次变形模式，并利用符号距离函数构造的丰富函数近似孔洞引起的截面不连续，从而建立几何精确的运动学描述。将Neo-Hookean超弹性材料模型应用于所提出的梁有限元公式中，并进行迭代过程以确保截面壁面应力场的平面应力假设。采用位移伽辽金法得到离散方程。本文给出了一些实例来证明所提出的梁有限元分析的潜力，结果表明它能够执行带孔薄壁构件屈曲结构的GBT模态分解。

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引用次数: 0

Multiscale design of microwave absorbing sandwich structures via surrogate assisted topology optimization 基于代理辅助拓扑优化的微波吸收夹层结构多尺度设计

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-12-02 DOI: 10.1016/j.compstruc.2025.108053

Dohun Lee , Yonghwa Ji , Illkyung Park , Joosup Lim , Seung-Gyu Lee , Jaewook Lee

This paper proposes a multiscale design framework for microwave absorbing sandwich structures (MASSs) that simultaneously optimizes macroscopic structural variables and microscopic unit cell geometry. The framework incorporates topology optimization to generate free-form microstructures within the sandwich core. To reduce computational cost and enable rapid exploration of diverse unit cell designs, a surrogate model using an artificial neural network (ANN) is employed. The multiscale optimization problem is formulated with the objective functions of minimizing the total mass and beam deflection of the MASSs. A constraint is imposed on the reflection loss to ensure sufficient microwave absorption at the target frequency. The formulated optimization problem is then solved using three metaheuristic optimization algorithms. To validate the performance of the optimal designs, high-fidelity finite element re-analyses are conducted. Structural validation is performed through 3-point bending and shear deformation analyses, while electromagnetic performance is evaluated using full-wave simulations. The re-analysis results confirm the effectiveness of the proposed multiscale design approach in achieving high-performance MASSs with tailored mechanical and electromagnetic characteristics.

本文提出了一种微波吸收夹层结构（质量）的多尺度设计框架，同时优化宏观结构变量和微观单元胞的几何形状。该框架结合了拓扑优化，在夹层芯内生成自由形式的微结构。为了降低计算成本并能够快速探索不同的单元格设计，采用了使用人工神经网络（ANN）的代理模型。提出了以总质量和梁挠度最小为目标函数的多尺度优化问题。为了保证在目标频率上有足够的微波吸收，对反射损耗施加了限制。然后使用三种元启发式优化算法求解公式优化问题。为了验证优化设计的性能，进行了高保真的有限元再分析。通过三点弯曲和剪切变形分析进行结构验证，同时使用全波模拟评估电磁性能。再分析结果证实了所提出的多尺度设计方法在实现具有定制机械和电磁特性的高性能质量方面的有效性。

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引用次数: 0

Extended octree pattern-based mesh generation and massively parallel computing with the scaled boundary finite element method 基于扩展八叉树模式的网格生成与尺度边界有限元法的大规模并行计算

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-12-02 DOI: 10.1016/j.compstruc.2025.108051

Yifan Zhan , Ankit S. Kumar , Junqi Zhang , Yunxuan Cui , Ean Tat Ooi , Chongmin Song

This work presents a fully automatic high-performance numerical framework for solving large-scale engineering problems. We propose an extended octree meshing paradigm to discretize the problem domains into polyhedral elements of a limited number of patterns. These patterns extend conventional octree meshes by enabling boundary conformity through a set of pre-defined trimming templates. The polyhedral elements are formulated using the scaled boundary finite element method. In the proposed framework, various formats of geometrical models such as STL and point clouds can be robustly and efficiently meshed without manual repair and surface reconstruction. The element matrices are computed from those of the element patterns, reducing memory access for iterative solvers and improving efficiency in parallel computing environments. The robustness as well as the accuracy are demonstrated by five numerical examples of elastostatics and elastodynamics, including complex geometries and heterogeneous problems. The results highlight the scalability and notable speedup for very large-scale simulations up to 1.2 billion degrees of freedom and 12,288 computing cores.

本文提出了一个求解大规模工程问题的全自动高性能数值框架。我们提出了一种扩展的八叉树网格划分范式，将问题域离散为有限数量模式的多面体单元。这些模式通过一组预定义的修剪模板实现边界一致性，从而扩展了传统的八叉树网格。采用尺度边界有限元法对多面体单元进行了计算。在该框架中，各种格式的几何模型（如STL和点云）可以鲁棒高效地网格化，而无需人工修复和表面重建。元素矩阵由元素模式计算，减少了迭代求解器的内存访问，提高了并行计算环境下的效率。通过包括复杂几何和非均质问题在内的五个弹性静力学和弹性动力学数值算例，证明了该方法的鲁棒性和准确性。结果突出了可扩展性和显著的加速，可用于高达12亿自由度和12,288个计算核心的大规模模拟。

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引用次数: 0

A generalized nonlocal–gradient elasticity and neural network framework for multiscale analysis of functionally graded nanoplates 功能梯度纳米片多尺度分析的广义非局部梯度弹性和神经网络框架

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-12-01 DOI: 10.1016/j.compstruc.2025.108056

Pham Van Vinh

A generalized nonlocal–gradient elasticity theory is developed for the multiscale modeling of functionally graded nanoplates resting on Pasternak elastic foundations. The formulation unifies nonlocal stress and strain gradient effects into a consistent higher-order continuum model, enabling accurate capture of size-dependent behavior in nanoscale structures. Governing equations are derived using higher-order shear deformation theory and Hamilton’s principle and solved analytically via the Navier method. To enhance computational efficiency and enable rapid parametric studies, an artificial neural network surrogate model is developed and trained on high-fidelity datasets generated from the analytical solutions. This hybridization of advanced continuum theory with machine learning provides a fast yet reliable tool for design-oriented studies, which is rarely addressed in previous works. The integrated framework is applied to investigate static bending and free vibration responses under various geometric, material, and foundation parameters, including nonlocal and material length scales. The results validate the accuracy and efficiency of the proposed approach, establishing new benchmark solutions for multiscale nanostructures and demonstrating its potential for extension to more complex configurations and future applications in micro- and nano-devices. The work therefore contributes a generalized, versatile, and efficient methodology for multiscale structural analysis of functionally graded nanostructures.

针对基于帕斯捷尔纳克弹性地基的功能梯度纳米板的多尺度模型，提出了一种广义的非局部梯度弹性理论。该公式将非局部应力和应变梯度效应统一为一致的高阶连续体模型，从而能够准确捕获纳米级结构中与尺寸相关的行为。利用高阶剪切变形理论和Hamilton原理推导了控制方程，并采用Navier方法解析求解。为了提高计算效率和实现快速参数化研究，开发了人工神经网络代理模型，并在分析解生成的高保真数据集上进行了训练。这种先进的连续统理论与机器学习的结合为面向设计的研究提供了一种快速而可靠的工具，这在以前的作品中很少得到解决。应用集成框架研究各种几何、材料和基础参数（包括非局部和材料长度尺度）下的静态弯曲和自由振动响应。结果验证了该方法的准确性和效率，为多尺度纳米结构建立了新的基准解决方案，并展示了其扩展到更复杂配置和未来在微纳米器件中的应用潜力。因此，这项工作为功能梯度纳米结构的多尺度结构分析提供了一种通用的、通用的和有效的方法。

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引用次数: 0

Experimental and numerical investigation of tramcar curve squeal under varying wheel-rail contact conditions 不同轮轨接触条件下有轨电车曲线噪声的实验与数值研究

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-29 DOI: 10.1016/j.compstruc.2025.108040

Federico Castellini , Leonardo Faccini , Stefano Alfi , Egidio Di Gialleonardo , Roberto Corradi , Giacomo Squicciarini , David Thompson

The variability of curve squeal generated by a modern articulated tramcar is investigated through noise and vibration measurements at two sites and numerical simulations. Accelerometers on the leading wheels of the second car show that different vibration modes intermittently dominate the wheel vibration during curving, with squeal also detected on the outer wheel. To study low-adhesion conditions, the track is artificially wetted. A reduction of nearly 15 dBA in Single Event Levels is obtained after water application, but the effect disappeared after a few passes. A numerical procedure supports the experiments, combining vehicle dynamics simulations with a frequency-domain wheel-rail interaction model. Predicted squeal frequencies agree with those measured. Variability in contact parameters is considered by simulating numerous variants per scenario. Squeal occurs in over 90% of cases on the front inner and rear outer wheels, and in fewer than 3% on the outer front wheel. Simulations with varying friction coefficients are aligned with experimental findings in dry and wet conditions, suggesting that water-based friction modifiers can significantly reduce squeal. A parametric study on curve radius confirms the leading inner wheel as most critical, while also showing multiple squealing wheels, including those under flange contact.

通过两站噪声和振动测量及数值模拟，研究了现代铰接式有轨电车曲线噪声的变异性。第二辆车前轮上的加速度计显示，不同的振动模式间歇性地主导着弯道时车轮的振动，外轮也检测到尖叫。为了研究低附着条件，人工湿润了履带。在单事件电平中，加水后可以降低近15 dBA，但经过几次后效果就消失了。将车辆动力学模拟与频域轮轨相互作用模型相结合，建立了数值模拟程序。预测的尖叫频率与测量的频率一致。通过模拟每个场景的许多变量来考虑接触参数的可变性。尖叫发生在90%以上的情况下，前内轮和后外轮，在不到3%的情况下，外前轮。不同摩擦系数的模拟结果与干湿条件下的实验结果一致，表明水基摩擦改进剂可以显著降低尖叫。曲线半径的参数化研究证实了前内轮是最关键的，同时也显示了多个尖叫轮，包括那些在法兰接触下的车轮。

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引用次数: 0

Towards improving the self-updated four-node finite element 改进自更新四节点有限元

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-29 DOI: 10.1016/j.compstruc.2025.108014

Seunghwan Park , Jaeho Jung , Phill-Seung Lee

Recently, the self-updated finite element proposed by Jung et al. (2022) was developed to improve the solution accuracy of the four-node solid finite element using an iterative solution procedure. The stiffness matrices of the self-updated finite element are iteratively updated using optimal bending modes through the iterative procedure to minimize shear locking. Excellent performance of the self-updated finite element was shown in various numerical examples, even with coarse and highly distorted meshes. However, a critical issue was subsequently observed: the numerical accuracy deteriorated under some combined loading conditions, which originated from the iterative solution procedure. To overcome this issue, a new iterative solution procedure is proposed using a load decomposition strategy, in which the external load is decomposed into bending-induced and the remaining parts. The new self-updated finite element passes the patch and zero-energy mode tests. The improved performance of the new self-updated finite element is demonstrated through several numerical examples.

最近，Jung等人（2022）提出了自更新有限元，利用迭代求解过程提高了四节点实体有限元的求解精度。采用最优弯曲模态，通过迭代过程对自更新有限元的刚度矩阵进行迭代更新，使剪切锁紧最小化。各种数值算例显示了自更新有限元的优异性能，即使是在粗糙和高度扭曲的网格中。然而，随后发现了一个关键问题：在某些组合载荷条件下，数值精度下降，这源于迭代求解过程。为了克服这一问题，提出了一种采用载荷分解策略的迭代求解方法，该方法将外载荷分解为弯曲诱导部分和剩余部分。新的自更新有限元通过补丁和零能量模式测试。通过数值算例验证了自更新有限元的改进性能。

引用次数: 0

Real-time global internal force estimation in cable-strut structures during tensioning using learning-based compressive sensing 基于学习压缩感知的索杆张拉过程实时全局内力估计

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-26 DOI: 10.1016/j.compstruc.2025.108050

Guan-Sen Dong , Yu Xue , Zhenhan Hu , Yaozhi Luo , Xian Xu

The tensioning process is critical for establishing the designed form and prestress in cable-strut structures. While real-time knowledge of global internal forces is important for evaluation and control, this is hindered by the limited number of sensors used in practice. Estimating global forces from limited sensor readings is a complex nonlinear underdetermined problem due to force redistribution during tensioning. This paper proposes a novel method for real-time global internal force estimation by formulating the challenge within a learning-based compressive sensing framework. A lightweight neural network is used as a fast and differentiable surrogate for the nonlinear structural behavior. By minimizing the discrepancy between the surrogate’s predictions and sensor measurements, the method rapidly solves for unknown tensioning parameters and reconstructs the entire internal force field. The approach is validated through numerical simulations of a spoke-wheel cable truss and a Geiger cable dome. The results confirm the high efficiency (sub-second estimation), accuracy, and robustness of the method. To the best of the authors’ knowledge, this is the first approach for real-time global force estimation during the tensioning of cable-strut structures. It offers a low-cost, flexible, and automated tool to enhance safety, guide construction, and verify design compliance of cable-strut structures on-site.

张拉过程是确定索杆结构设计形式和预应力的关键。虽然全球内力的实时知识对评估和控制很重要，但在实践中使用的传感器数量有限阻碍了这一点。从有限的传感器读数估计全局力是一个复杂的非线性欠定问题，由于张力过程中的力重新分布。在基于学习的压缩感知框架中，提出了一种实时全局内力估计的新方法。采用一种轻量级神经网络作为非线性结构行为的快速可微分代理。通过最小化代理预测与传感器测量之间的差异，该方法可以快速求解未知的张力参数并重建整个内力场。通过辐轮索桁架和盖革索穹顶的数值仿真验证了该方法的有效性。结果表明，该方法具有高效率（亚秒估计）、准确性和鲁棒性。据作者所知，这是索杆结构张拉过程中实时全局力估计的第一种方法。它提供了一种低成本、灵活和自动化的工具，以提高安全性，指导施工，并验证现场索杆结构的设计合规性。

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引用次数: 0

Study on the nonlinear effects of rail cracks based on non-collinear mixing ultrasound 基于非共线混合超声的钢轨裂纹非线性效应研究

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-25 DOI: 10.1016/j.compstruc.2025.108045

Zhiqiang Xue , Meng Hu , Siyi Chen , Yude Xu , Shaozheng Li

Conventional ultrasonic testing shows limited sensitivity to rail microcracks. Accordingly, a non-collinear mixing ultrasonic numerical model based on FEM-SEM coupling and nonlinear acoustics is proposed for high-sensitivity detection of rail microcracks. The results indicate that the intensity of the mixing components generated by crack contact nonlinearity increases monotonically with crack size. The amplitude ratio of the first and last echoes and the −6 dB wave-packet width can be used for qualitative identification of crack presence, while the proportions of high- and low-frequency energy and the nonlinear parameter enable quantitative characterization of crack size. The proportion of high-frequency energy at or above 2.0 MHz increases from 0.21 % to 38.63 %, while the proportion of low-frequency energy at or below 0.25 MHz increases from 0.01 % to 10.63 %. The bispectrum exhibits pronounced sum-frequency and second-harmonic peaks. As crack length increases from 1 mm to 8 mm, the nonlinear parameter increases by 95 % in simulations and by 102 % in experiments, and the nonlinear ultrasonic factor increases by 43 % and by 46 % respectively. The strong agreement between numerical and experimental results verifies the accuracy of the model and the feasibility of applying non-collinear mixing ultrasonics for the quantitative detection of rail microcracks.

常规超声检测对钢轨微裂纹的灵敏度有限。基于此，提出了一种基于FEM-SEM耦合和非线性声学的非共线混合超声数值模型，用于钢轨微裂纹的高灵敏度检测。结果表明：裂纹接触非线性产生的混合分量强度随裂纹尺寸的增大而单调增加；首末回波振幅比和- 6 dB波包宽度可用于裂纹存在的定性识别，高低频能量比和非线性参数可用于裂纹大小的定量表征。2.0 MHz及以上的高频能量占比从0.21%增加到38.63%，0.25 MHz及以下的低频能量占比从0.01%增加到10.63%。双谱表现出明显的和频峰和二次谐波峰。当裂纹长度从1 mm增加到8 mm时，非线性参数在模拟中增加95%，在实验中增加102%，非线性超声因子分别增加43%和46%。数值结果与实验结果吻合较好，验证了模型的准确性和应用非共线混合超声定量检测钢轨微裂纹的可行性。

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引用次数: 0

The overlapping spectral element method 重叠谱元法

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-25 DOI: 10.1016/j.compstruc.2025.108049

Pooya Zakian , Klaus-Jürgen Bathe

In this study, we develop a novel computational framework called Overlapping Spectral Element Method (OSEM). The OSEM is based on the overlapping finite element method and spectral element method with higher-order interpolation functions, which can be effective for the analysis of structural dynamics and wave propagation problems. In this method, there are three types of spectral elements: regular, coupling, and overlapping. The mass matrices of overlapping and coupling elements are not diagonal, whereas the mass matrices of regular spectral elements are inherently diagonal. Hence, using the elements employed in the mesh, an explicit–implicit or implicit time integration method can be utilized for the time integration. The OSEM includes the advantages of both overlapping finite element and spectral element methods to provide higher accuracy and less element geometric distortion sensitivity than the traditional spectral element method in modeling complex domains. Finally, we demonstrate the merits of using the proposed solution procedure in comparison to using the traditional spectral element method in the solution of several numerical examples.

在这项研究中，我们开发了一种新的计算框架，称为重叠谱元法（OSEM）。基于高阶插值函数的重叠有限元法和谱元法，可以有效地分析结构动力学和波传播问题。在该方法中，谱元有规则、耦合和重叠三种类型。重叠单元和耦合单元的质量矩阵不具有对角性，而正则谱单元的质量矩阵具有固有的对角性。因此，利用网格中所使用的单元，可以采用显式-隐式或隐式时间积分法进行时间积分。该方法结合了有限元法和谱元法重叠的优点，在复杂区域建模中具有比传统谱元法更高的精度和更小的几何畸变敏感性。最后，通过几个数值算例，与传统的谱元法进行了比较，证明了该方法的优越性。

引用次数: 0

A hybrid offline-online model order reduction approach for damage propagation problems 损伤传播问题的离线-在线混合模型阶数约简方法

IF 4.8 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-11-25 DOI: 10.1016/j.compstruc.2025.108046

Jagan Selvaraj , Stephen R. Hallett

Accurately modelling damage propagation in composites with 3D explicit finite element methods requires high-dimensional models, making simulations computationally prohibitive. Conventional reduced-order models (ROMs) trained offline are ineffective for fracture problems, since stress redistribution and crack growth cannot be anticipated a priori. In this work, a hybrid offline–online ROM that couples elastic-only offline training with adaptive online enrichment of the reduced basis during damage evolution is introduced. Proper Orthogonal Decomposition (POD) is combined with Energy-Conserving Mesh Sampling and Weighting (ECSW) and Gappy data reconstruction to achieve efficient time integration with 3D solid and cohesive elements. Unlike existing domain decomposition approaches, the proposed framework does not require prior knowledge of crack paths and can refine the basis anywhere in the domain as damage develops. The method is demonstrated on open-hole tensile tests at two distinct length scales, capturing delamination, fibre failure and failure stress with good accuracy when compared to full-order simulations and experiments. Improved computational savings are achieved, with efficiency gains increasing with model size. These results establish the hybrid ROM as a scalable and general approach for modelling distributed, path-dependent fracture in composite materials.

用三维显式有限元方法精确模拟复合材料的损伤传播需要高维模型，这使得模拟计算难以实现。传统的离线训练的降阶模型（ROMs）对于断裂问题是无效的，因为应力重新分布和裂纹扩展不能先验地预测。本文介绍了一种将损伤演化过程中仅限弹性的离线训练与自适应的在线简化基丰富相结合的混合型离线-在线ROM。将适当正交分解（POD）与节能网格采样和加权（ECSW）和Gappy数据重构相结合，实现了与三维实体和内聚元素的高效时间积分。与现有的区域分解方法不同，所提出的框架不需要事先了解裂纹路径，并且可以随着损伤的发展在区域的任何地方改进基础。该方法在两种不同长度尺度的裸眼拉伸试验中得到了验证，与全阶模拟和实验相比，该方法能够以较高的精度捕获分层、纤维破坏和破坏应力。随着模型大小的增加，效率提高，计算节省得到了改善。这些结果表明，混合ROM是一种可扩展的通用方法，可用于模拟复合材料中分布的、路径相关的断裂。

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引用次数: 0