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A GPU-Accelerated automated multilevel substructuring method for modal analysis of structures 用于结构模态分析的 GPU 加速自动多级子结构方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-11 DOI: 10.1016/j.compstruc.2024.107516
Guidong Wang , Yujie Wang , Zeyu Chen , Feiqi Wang , She Li , Xiangyang Cui

In this work, a novel GPU-accelerated heterogeneous method for the automated multilevel substructuring method(HAMLS) is presented for dealing large finite element models in structural dynamics. Different parallel modes based on node, subtree, and eigenpair have been developed in the solution steps of AMLS to achieve a heterogeneous strategy. First, a new data management method is designed during the model transformation phase to eliminate the determinacy race in the parallel strategy of the separator tree. Considering the distribution characteristics of the nodes in the separator tree and the dependence of node tasks, a load balancing heterogeneous parallel strategy is designed to take full advantage of hosts and devices. By developing an adaptive batch processing program for solving eigenvectors during the back transformation phase, the overheads of launching kernels, as well as the GPU memory requirements, can be reduced by several orders of magnitude. Several numerical examples have been employed to validate the efficiency and practicality of the novel GPU-accelerated heterogeneous strategy. The results demonstrate that the computational efficiency of the novel strategy using one GPU can increase to 3.0x that of the original parallel AMLS method when 16 CPU threads are used.

在这项工作中,针对结构动力学中的大型有限元模型,提出了一种新型的 GPU 加速异构自动多级子结构法(HAMLS)。在 AMLS 的求解步骤中,开发了基于节点、子树和特征对的不同并行模式,以实现异构策略。首先,在模型转换阶段设计了一种新的数据管理方法,以消除分离树并行策略中的确定性竞赛。考虑到分离树中节点的分布特点和节点任务的依赖性,设计了一种负载均衡的异构并行策略,以充分利用主机和设备的优势。通过开发一种自适应批处理程序,用于在反变换阶段求解特征向量,启动内核的开销以及 GPU 内存需求可降低几个数量级。为了验证新型 GPU 加速异构策略的效率和实用性,我们使用了几个数值示例。结果表明,当使用 16 个 CPU 线程时,使用一个 GPU 的新型策略的计算效率可提高到原始并行 AMLS 方法的 3.0 倍。
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引用次数: 0
Prediction of dynamic response of high-Strength concrete − based on the modified constitutive model 高强度混凝土动态响应预测--基于修改后的结构模型
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-11 DOI: 10.1016/j.compstruc.2024.107515
Guang Ren, Haijun Wu, Heng Dong, Fenglei Huang

Concrete with new features such as high strength and a high tension–compression ratio has been developed to enhance building safety and the defense structure capability, which also poses a challenge to classical constitutive models such as the Holmquist-Johnson-Cook (HJC) model.

This study proposes a flexible constitutive model that is suitable for concrete-like materials with varying strength and tension–compression ratios. Known as the three-invariant model, it features the explicit introduction of two mechanical characteristic parameters: the tension–compression ratio and the Lode angle. By strictly passing through (or closely approximating) six benchmark stress state points, the model effectively captures tension–compression anisotropy and yield behaviors across the entire range of hydrostatic pressure. To further extend the static model to dynamic conditions, a unified S-type strain rate equation is developed. This equation accounts for dynamic tension–compression anisotropy arising from the material’s intrinsic properties by considering the influence of hydrostatic pressure on strain rate effects. Experimental data from various rock and concrete specimens subjected to true triaxial stress states are compared with calculated data. The results confirm that the proposed model accurately reflects the yield strength and improves the predicted accuracy of structural responses under complex stress states.

具有高强度和高拉伸压缩比等新特性的混凝土已被开发出来,以提高建筑安全性和防御结构能力,这也对 Holmquist-Johnson-Cook 模型(HJC)等经典构成模型提出了挑战。该模型被称为三变量模型,其特点是明确引入了两个力学特征参数:拉压比和洛德角。通过严格通过(或近似)六个基准应力状态点,该模型可有效捕捉整个静水压力范围内的拉伸压缩各向异性和屈服行为。为了进一步将静态模型扩展到动态条件,我们开发了一个统一的 S 型应变率方程。该方程通过考虑静水压力对应变率效应的影响,解释了由材料固有特性引起的动态拉压各向异性。将各种岩石和混凝土试样在真实三轴应力状态下的实验数据与计算数据进行了比较。结果证实,所提出的模型准确地反映了屈服强度,并提高了复杂应力状态下结构响应的预测精度。
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引用次数: 0
Characterization of dynamic coupling induced shifts of frequencies in vehicle-scanning method 车辆扫描方法中动态耦合引起的频率偏移的特性分析
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-10 DOI: 10.1016/j.compstruc.2024.107528
J.D. Yau , Judy P. Yang , Shota Urushadze

A comprehensive strategy combining theory and experiment is proposed to characterize the dynamic coupling induced shifts of vehicle and bridge frequencies through both experimental investigation and numerical validation, in which the effect of vehicle-bridge interaction is theoretically incorporated in the vehicle-scanning method based on the experimental model. It is known that the measurement of bridge frequencies plays an important role in structural health monitoring as the shift of frequency can be served as an indicator of possible damage occurring in a bridge. Nevertheless, the attention has been mainly drawn on the accuracy improvement in developing the vehicle-scanning method so far, with limited discussion of dynamic coupling effect on the frequency shifts. As such, a combined theoretical–experimental approach is presented to show that the influence of vehicle-bridge interaction results in the coupled frequencies of a vehicle-beam system using the vehicle-scanning method, and adopting a heavy lumped test vehicle can lead to the underestimated bridge frequency and overestimated vehicle frequency. As a new finding, the effect of rolling frequency is experimentally observed in the vehicle spectrum for the first time.

提出了一种理论与实验相结合的综合策略,通过实验研究和数值验证来表征动态耦合引起的车辆和桥梁频率的偏移,其中在实验模型的基础上,将车辆与桥梁相互作用的影响从理论上纳入车辆扫描方法中。众所周知,桥梁频率的测量在结构健康监测中发挥着重要作用,因为频率的变化可以作为桥梁可能发生损坏的指标。然而,迄今为止,人们在开发车辆扫描方法时主要关注的是精度的提高,而对频率偏移的动态耦合效应讨论有限。因此,本文提出了一种理论与实验相结合的方法,表明车辆-桥梁相互作用的影响会导致使用车辆扫描方法的车辆-梁系统的耦合频率,而采用重型块状测试车辆会导致低估桥梁频率和高估车辆频率。作为一项新发现,首次在车辆频谱中实验观测到了滚动频率的影响。
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引用次数: 0
A novel time substep procedure into the classical central difference scheme to derive fourth-order methods in the complex plane 在经典中心差分方案中加入新颖的时间子步程序,以推导复平面内的四阶方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-09 DOI: 10.1016/j.compstruc.2024.107514
Y.P. Souza , F.S. Loureiro , W.J. Mansur

This work is concerned with the development of new fourth-order accurate explicit time integration methods for the solution of wave propagation problems discretized by the finite element method. These novel schemes are derived from the well-known Central Difference time integration method through a proposed time substep procedure formed by either two or three complex substeps. The proposed formulation follows a different approach of standard time integration methods in the sense that results in the time domain are complex numbers, and advantages of such a distinct feature and its relation to the error are presented and discussed. A numerical analysis reveals that the proposed formulation not only enhances the stability but also increases the accuracy when compared to the classical Central Difference method; besides, the computer implementation is very straightforward. Finally, numerical examples are presented and the results are compared with the corresponding ones from other fourth-order methods in order to demonstrate the effectiveness, robustness and potentialities of the proposed formulation.

这项研究致力于开发新的四阶精确显式时间积分方法,用于解决用有限元法离散的波传播问题。这些新方案源自著名的中央差分时间积分法,通过一个由两个或三个复数子步组成的时间子步程序得到。提出的方案采用了与标准时间积分法不同的方法,即时域中的结果是复数,并介绍和讨论了这一显著特点的优势及其与误差的关系。数值分析表明,与经典的中心差分法相比,建议的公式不仅增强了稳定性,还提高了精确度;此外,计算机实现也非常简单。最后,介绍了一些数值示例,并将结果与其他四阶方法的相应结果进行了比较,以证明所提公式的有效性、稳健性和潜力。
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引用次数: 0
Passive infrared thermography for subsurface delamination detection in concrete infrastructure: Inference on minimum requirements 用于混凝土基础设施地下分层检测的被动红外热成像技术:推断最低要求
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-09 DOI: 10.1016/j.compstruc.2024.107529
Sandra Pozzer , Ahmed El Refai , Fernando López , Clemente Ibarra-Castanedo , Xavier Maldague

This paper introduces a computational approach for inferring the minimum requirements for the nondestructive inspection of subsurface delamination in outdoor concrete structures using passive infrared thermography (IRT). The non-linear numerical system was solved using the Finite Element Method (FEM). Complete verification and validation of the numerical model were performed through the analysis of experimental and computational errors, as well as through the comparison of computational outputs of thermal gradients with the contrast values measured in an experiment with solar radiation and passive IRT. The results of accuracy and precision of the computational simulation approach were found to be adequate, from a practical perspective, for the intended use of the model, with the thermal gradient values having an uncertainty of 0.080 ± 0.91 °C and -0.016 ± 0.91 °C for the concrete slab and column sample, respectively. Furthermore, the developed model was used to perform a one-year analysis of the studied case, in order to determine the approximate radiative heat flux required to identify defects with different size-to-depth (S/D) ratios in various concrete components with distinct solar exposures. Finally, the relationship between the calculated radiative heat flux and thermal contrast with the respective environmental variables in place was analyzed graphically.

本文介绍了一种计算方法,用于推断使用被动红外热成像技术(IRT)对室外混凝土结构中的地下分层进行无损检测的最低要求。非线性数值系统采用有限元法(FEM)求解。通过对实验和计算误差的分析,以及热梯度计算输出与太阳辐射和被动红外热成像实验测量对比值的比较,对数值模型进行了全面的验证和确认。计算模拟方法的准确度和精确度结果表明,从实用角度来看,模型的预期用途是足够的,混凝土板和柱子样本的热梯度值的不确定性分别为 0.080 ± 0.91 °C 和 -0.016 ± 0.91 °C。此外,还利用所开发的模型对所研究的情况进行了为期一年的分析,以确定在不同的混凝土构件中识别不同尺寸深度比(S/D)的缺陷所需的近似辐射热通量。最后,对计算得出的辐射热通量和热对比度与相应环境变量之间的关系进行了图解分析。
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引用次数: 0
Exploring the inherent capacity of the multiresolution finite wavelet domain method to provide convergence indicators in transient dynamic simulations 探索多分辨率有限小波域方法在瞬态动态模拟中提供收敛指标的内在能力
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-07 DOI: 10.1016/j.compstruc.2024.107517
Dimitris K. Dimitriou, Dimitris A. Saravanos

The advantages of the multiresolution finite wavelet domain method in terms of convergence speed and solution localization capabilities have been demonstrated in dynamic simulations of one- and two-dimensional solids. The first step in the multiresolution procedure entails a coarse solution, which is subsequently enriched by the calculation of finer solutions, so convergence is achieved without discarding the previous results obtained at coarser resolutions. In this work, the multiresolution structure of the method is thoroughly explored to develop two novel convergence indicators which can provide error indices for the first two steps of the process and focus the fine solutions on specific subregions, enhancing accuracy and computational speed. The first convergence indicator is based on force residuals and the second relies on the maximum ratio of the fine to total solution. Detailed examination of the multiresolution components results in profound comprehension of the way they participate to the total solution. Based on repeated observations, it is deduced that the participation of fine components to the total solution constitute metrics of convergence, permitting the termination of the hierarchical analysis without requiring convergence checks. The proposed convergence indicators can guide targeted refinement techniques and may provide the basis for a new computational paradigm.

在对一维和二维固体进行动态模拟时,证明了多分辨率有限小波域方法在收敛速度和解定位能力方面的优势。多分辨率程序的第一步需要一个粗解,随后通过计算更精细的解来丰富粗解,从而在不丢弃之前在更粗分辨率下获得的结果的情况下实现收敛。在这项工作中,对该方法的多分辨率结构进行了深入探讨,开发出两个新的收敛指标,可为前两个步骤提供误差指数,并将精细解集中于特定子区域,从而提高精度和计算速度。第一个收敛指标基于力残差,第二个收敛指标依赖于精细解与总解的最大比率。通过对多分辨率组件的详细研究,可以深刻理解它们参与总解的方式。在反复观察的基础上,可以推断出精细成分参与总解的情况构成了收敛性指标,允许终止分层分析而无需进行收敛性检查。所提出的收敛指标可以指导有针对性的细化技术,并为新的计算范式提供基础。
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引用次数: 0
Nonlinear dynamic response of a sandwich plate with negative Poisson’s ratio honeycomb-core layer under low-velocity collision impact 具有负泊松比蜂窝芯层的夹层板在低速碰撞冲击下的非线性动态响应
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-16 DOI: 10.1016/j.compstruc.2024.107507
Ke Xie , Yuewu Wang , Hongyong Chen , Jicheng Li , Yuancen Wang

In this paper, a nonlinear analytical model is presented for the low-velocity collision impact of a sandwich plate with auxetic honeycomb-core layer. The auxetic feature of the honeycomb material is realized by mathematically expressing the effective material coefficients in terms of material property and cellular geometric parameters through a homogenization method. The higher order shear deformation theory, the von Kármán nonlinearity theory, and a modified Hertz contact law which accounts for the contact pressure distribution and indentation effect, are employed to establish the kinematic relations. The Newmark time integration scheme in conjunction with the direct iterative method is utilized to establish a solution procedure for the nonlinear dynamic governing equation. The verification of the presented model with the data in published literatures is carried out, followed by a series of numerical analyses for influences of cellular geometric features and impactor’s initial conditions (such as impactor’s initial velocity, mass, and nose curvature radius) on the nonlinear dynamic response. The results of numerical analyses show that the geometric features of the unit cell in the honeycomb-core and impactor’s initial conditions can cause significant influences on the nonlinear collision impact behaviors of the system.

本文针对带有辅助蜂窝芯层的夹层板的低速碰撞冲击提出了一个非线性分析模型。蜂窝材料的辅助特性是通过均质化方法用材料特性和蜂窝几何参数数学表达有效材料系数来实现的。高阶剪切变形理论、von Kármán 非线性理论以及考虑了接触压力分布和压痕效应的修正赫兹接触定律被用来建立运动学关系。纽马克时间积分方案与直接迭代法相结合,建立了非线性动态控制方程的求解程序。首先用已发表的文献中的数据对所提出的模型进行了验证,然后就蜂窝几何特征和撞击器初始条件(如撞击器的初始速度、质量和机头曲率半径)对非线性动态响应的影响进行了一系列数值分析。数值分析结果表明,蜂窝芯单元的几何特征和撞击器的初始条件会对系统的非线性碰撞冲击行为产生重大影响。
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引用次数: 0
Dynamic fundamental solution of dipole for Kirchhoff plate on Winkler-Pasternak foundation 温克勒-帕斯捷尔纳克地基上基尔霍夫板偶极子的动态基本解法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-10 DOI: 10.1016/j.compstruc.2024.107498
Y.R. Zhou , X.B. Yan , M.X. Wang , Y.C. Liu , P.H. Wen

The Method of Fundamental Solution (MFS) for the thin plate resting on the Winkler-Pasternak elastic foundation under dynamic loading is proposed in this work. In traditional MFS, the double-source method is utilized with two free variables including the locations of source pint. In order to construct MFS with few free parameters, the main aim of this paper is to deduce two fundamental solutions for a concentrated force and a dipole of thin plate resting on the elastic foundation with damping by Laplace transform technique. The behaviours and performances of fundamental solutions are observed comprehensively. Time domain numerical results are obtained by the Durbin’s inverse method and the behaviours of fundamental solutions are observed comprehensively. The main novelty of this paper is the derivation of Laplace transformed fundamental solutions of the dipole of a Kirchhoff plate resting on the Winkler-Pasternak elastic foundation with the damping factor and comparisons have been made between Kirchhoff plate and Reissner/Mindlin plate theories under dynamic loadings. In order to show the accuracy of this methodology, numerical comparisons between the present work and either analytical solutions or finite element solutions are presented. Excellent agreements with both analytical solution and finite element method solution are observed.

本研究提出了薄板在动态荷载作用下的基本解法(MFS)。传统的 MFS 采用双源法,包含源点位置在内的两个自由变量。为了构建自由参数较少的 MFS,本文的主要目的是通过拉普拉斯变换技术,推导出带阻尼弹性地基上薄板的集中力和偶极子的两个基本解。本文全面观察了基本解的行为和性能。通过杜宾反演法获得了时域数值结果,并全面观察了基本解的行为。本文的主要新颖之处在于推导了基尔霍夫板偶极子的拉普拉斯变换基本解,该偶极子位于具有阻尼系数的温克勒-帕斯捷尔纳克弹性地基上,并对基尔霍夫板理论和赖斯纳/明德林板理论在动态载荷下进行了比较。为了证明这种方法的准确性,我们对本研究成果与分析解法或有限元解法进行了数值比较。结果表明,分析解法和有限元法解法都非常吻合。
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引用次数: 0
Non-intrusive reduced-order modeling for nonlinear structural systems via radial basis function-based stiffness evaluation procedure 通过基于径向基函数的刚度评估程序对非线性结构系统进行非侵入式降阶建模
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-09 DOI: 10.1016/j.compstruc.2024.107500
Jonggeon Lee , Younggeun Park , Jaehun Lee , Maenghyo Cho

This paper presents a new radial basis function-based stiffness evaluation procedure developed in the framework of nonlinear, and non-intrusive reduced-order modeling. For structural nonlinear systems, a stiffness evaluation procedure (STEP) and its variants use a cubic polynomial for evaluating nonlinear stiffness coefficients and have been developed as non-intrusive reduced-order models (ROM) using data obtained from numerical simulation model. In this paper, we propose using a radial-basis function (RBF) instead of the cubic polynomials on evaluating nonlinear stiffnesses. As the RBF shows a good performance for approximating nonlinearities, the efficiency and robustness of the ROM are substantially enhanced in a non-intrusive manner. In particular, the proposed R-STEP ROM can be constructed for elastoplastic analysis without any additional treatments. Various numerical examples verify the performance of the proposed R-STEP ROM comparing with the STEP methods and commercial finite element software, ABAQUS.

本文介绍了在非线性和非侵入式降阶建模框架内开发的基于径向基函数的新型刚度评估程序。对于结构非线性系统,刚度评估程序(STEP)及其变体使用三次多项式评估非线性刚度系数,并利用数值模拟模型获得的数据开发了非侵入式降阶模型(ROM)。在本文中,我们建议使用径向基函数 (RBF) 代替三次多项式来评估非线性刚度。由于 RBF 在逼近非线性方面表现出色,因此 ROM 的效率和鲁棒性以非侵入的方式得到了大幅提升。特别是,建议的 R-STEP ROM 可用于弹塑性分析,无需任何额外处理。各种数值实例验证了所提出的 R-STEP ROM 与 STEP 方法和商业有限元软件 ABAQUS 的性能比较。
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引用次数: 0
A contact-based constitutive model for the numerical analysis of masonry structures using the distinct element method 使用独特元素法对砌体结构进行数值分析的接触式构成模型
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-06 DOI: 10.1016/j.compstruc.2024.107499
Y.P. Oktiovan , F. Messali , B. Pulatsu , J.V. Lemos , J.G. Rots

This study presents a robust contact constitutive model in the distinct element method (DEM) framework for simulating the mechanical behavior of masonry structures. The model is developed within the block-based modeling strategy, where the masonry unit is modeled as deformable blocks with potential crack surfaces in the middle of the bricks, while the mortar joints are defined as zero-thickness interfaces. The modeling strategy implements multi-surface plasticity with damage mechanics, including a tension cut-off, Coulomb failure criterion, and an elliptical compressive cap for the damage in tension, shear, and compression, respectively. Two new features are introduced in this contact model: a piecewise linear softening function for strength degradation in tension and shear and a hardening/softening function to phenomenologically define the compressive damage of masonry composite into the unit-mortar interface. The constitutive model is implemented in commercial DEM software using the small displacement configuration and validated against material and experimental tests on masonry walls subjected to constant pre-compression and monotonically increasing in-plane load. The experimental and numerical results regarding the force-displacement relationship and damage pattern produced by the proposed constitutive model are compared and critically discussed, demonstrating the capability of DEM coupled with the suitable constitutive law in simulating the behavior of masonry structures.

本研究在独特元素法(DEM)框架内提出了一种稳健的接触构造模型,用于模拟砌体结构的力学行为。该模型采用基于砌块的建模策略,将砌体单元建模为可变形砌块,砌块中间为潜在裂缝面,灰浆接缝定义为零厚度界面。该建模策略通过损伤力学实现了多面塑性,包括拉伸截断、库仑失效准则和椭圆压缩帽,分别用于拉伸、剪切和压缩损伤。该接触模型引入了两个新特征:用于拉伸和剪切强度退化的片断线性软化函数,以及用于从现象学角度定义砌体复合材料在单元-剪切界面上的压缩损伤的硬化/软化函数。利用小位移配置在商用 DEM 软件中实现了该构成模型,并通过对砌体墙承受恒定预压缩和单调增加的面内荷载的材料和实验测试进行了验证。对实验结果和数值结果进行了比较和批判性讨论,这些结果涉及所提议的构成模型产生的力-位移关系和破坏模式,证明了 DEM 与合适的构成法则相结合在模拟砌体结构行为方面的能力。
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引用次数: 0
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