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Data-driven FEM cluster-based basis reduction method for ultimate load-bearing capacity prediction of structures under variable loads 基于数据驱动的有限元群基缩减法,用于预测可变荷载下结构的极限承载力
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-27 DOI: 10.1016/j.compstruc.2024.107593
Yinghao Nie, Xiuchen Gong, Gengdong Cheng, Qian Zhang
The structural ultimate load-bearing capacity plays an influential role in engineering applications. Melan’s static shakedown theorem offers a valuable approach for predicting the lower bound of shakedown loading factors and providing a safer shakedown domain when the structures are subjected to cyclic variable loads. However, the associated nonlinear mathematical programming is plagued by substantial computational expenses due to excessive design variables and constraints. Inspired by the data-driven FEM Cluster-based Analysis (FCA) [44], [45], [46], [47] for predicting nonlinear effective properties of RVE of heterogeneous materials very efficiently, this paper introduces a novel FEM cluster-based basis reduction method to predict the shakedown domain of structures. Firstly, the FEM elements of discretized structures are grouped into several clusters using the elastic strain tensor under different load vertex cases, which differs from the orthogonal loading conditions for clustering RVE. In this way, similar mechanical behavior in each cluster of the structures is expected in future loading. Then, the cluster eigenstrain-driven algorithm is employed to construct the self-equilibrium stress (SES) basis vectors, which should satisfy the equilibrium equation and statical boundary condition. Furthermore, the essential time-independent beneficial residual stress in the static shakedown analysis is represented as a linear combination of the constructed SES basis vectors based on the basis reduction method, which can reduce a large number of time-independent residual stress to several linear combination coefficients. In addition, the reduced-order model (ROM) is constructed by the cluster SES, which are volume averaged stresses of the element SES basis vectors within each cluster. Based on the ROM, a constraint reduction strategy (CRS) is introduced to selectively remove stress constraints significantly below yield stress from the enormous element-wise yield constraint set. These innovations decrease the number of design variables and nonlinear constraints in the shakedown optimization, thus significantly enhancing computational efficiency. Several numerical examples illustrate the effectiveness and efficiency of the proposed shakedown analysis method of FCA.
结构极限承载能力在工程应用中发挥着重要作用。梅兰的静态晃动定理为预测晃动荷载系数的下限提供了一种有价值的方法,并在结构承受周期性可变荷载时提供更安全的晃动域。然而,由于设计变量和约束条件过多,相关的非线性数学编程受到大量计算费用的困扰。受基于数据驱动的有限元聚类分析(FCA)[44]、[45]、[46]、[47] 高效预测异质材料 RVE 非线性有效特性的启发,本文介绍了一种新颖的基于有限元聚类的基础缩减方法来预测结构的晃动域。首先,利用不同荷载顶点情况下的弹性应变张量,将离散结构的有限元划分为多个簇,这不同于 RVE 簇划分的正交荷载条件。这样,在未来的加载过程中,每个群组的结构都会出现类似的力学行为。然后,采用聚类特征应变驱动算法构建自平衡应力(SES)基向量,该向量应满足平衡方程和静态边界条件。此外,在静态振型分析中,与时间无关的基本有益残余应力被表示为基于基础缩减法构建的 SES 基础矢量的线性组合,这可以将大量与时间无关的残余应力缩减为几个线性组合系数。此外,还通过群组 SES 构建了降阶模型(ROM),即每个群组内元素 SES 基向量的体积平均应力。在 ROM 的基础上,引入约束缩减策略 (CRS),从庞大的元素屈服约束集中有选择性地移除明显低于屈服应力的应力约束。这些创新减少了动摇优化中的设计变量和非线性约束的数量,从而显著提高了计算效率。几个数值示例说明了所提出的 FCA 震动分析方法的有效性和效率。
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引用次数: 0
Efficient methods to build structural performance envelopes in characteristic load space 在特征荷载空间中构建结构性能包络的高效方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-26 DOI: 10.1016/j.compstruc.2024.107595
S. Sheshanarayana , C.G. Armstrong , A. Murphy , T.T. Robinson , N.L. Iorga , J.R. Barron
Performance envelopes provide a novel methodology that quantifies the load bearing capacity of a structure in a reduced dimension load space. The envelopes relate the complex loads acting on a structure to the corresponding structural failure constraints and may find many applications within the aircraft structural design process. Constructing envelopes for industrial problems is of particular interest, where the state-of-the-art implementation involves a point cloud meshing and surface modelling strategy. A main challenge in implementing envelopes within an engineering process is the large associated computational costs of construction. The contribution of this article is a robust and efficient strategy to reduce the computational costs of building a performance envelope. The paper presents a method to build the envelopes using a ray-scaling approach. The novel approach is validated by building 3-dimensional envelopes for a representative industrial problem (stiffened panels of AIRBUS’s XRF-1 wing). The results demonstrate a ∼ 42 % reduction in the computation costs compared to the preceding research. The improved construction efficiency makes the employment of envelopes more feasible for large industrial scale processes or when individual failure assessments are computationally expensive.
性能包络提供了一种新颖的方法,可量化结构在缩小尺寸载荷空间中的承载能力。包络线将作用在结构上的复杂载荷与相应的结构失效约束联系起来,可广泛应用于飞机结构设计过程中。为工业问题构建包络线尤其引人关注,最先进的实施方法包括点云网格划分和表面建模策略。在工程流程中实施包络的一个主要挑战是构建包络的相关计算成本较高。本文的贡献在于提出了一种稳健高效的策略,以降低构建性能包络线的计算成本。本文介绍了一种使用射线缩放方法构建包络线的方法。通过为具有代表性的工业问题(AIRBUS XRF-1 机翼的加劲板)构建三维包络线,验证了这种新方法。结果表明,与之前的研究相比,计算成本降低了 42%。施工效率的提高使得在大型工业生产过程中,或在单个故障评估计算成本较高的情况下,采用包络法更加可行。
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引用次数: 0
A non-classical computational method for modelling functionally graded porous planar media using micropolar theory 利用微极理论模拟功能分级多孔平面介质的非经典计算方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-25 DOI: 10.1016/j.compstruc.2024.107590
AbdolMajid Rezaei , Razie Izadi , Nicholas Fantuzzi
The current study proposes a computational-based method to employ the non-classical micropolar continuum for modelling plates with in-plane functionally graded porosities. Initially, a homogenisation method is developed to derive the micropolar parameters of porous heterogenous plates based on strain energy equivalence in various designed deformations simulated via finite element analysis. The modelling procedure is further augmented to accommodate structures with functionally graded porosities. The established method offers an effective framework for studying the mechanical behaviour of porous plates with various porosity distributions and a wide range of aspect ratios. Results indicate that the micropolar theory-based modelling surpasses traditional Cauchy theory in accurately predicting the stiffness and displacement distribution of the FG porous structures. The novelty of this study lies in the integration of micropolar theory with the homogenisation of graded porosity patterns, offering enhanced predictions for materials with microstructural features. Additionally, a custom finite element formulation is developed in COMSOL to implement micropolar elasticity, significantly improving the computational efficiency to account for complex geometry, loading, and boundary conditions. To show the applicability of the method, the modelling is used to design a dental implant with its functional property mimicking that of the natural bone to avoid stress-shielding while ensuring proper occlusivity.
目前的研究提出了一种基于计算的方法,利用非经典微观连续体为具有平面功能分级孔隙率的板材建模。首先,开发了一种均质化方法,通过有限元分析模拟各种设计变形,在应变能等效的基础上推导出多孔异质板的微观参数。对建模程序进行了进一步扩展,以适应具有功能分级孔隙率的结构。所建立的方法为研究具有各种孔隙率分布和各种长宽比的多孔板的力学行为提供了一个有效的框架。结果表明,在准确预测 FG 多孔结构的刚度和位移分布方面,基于微极性理论的建模超越了传统的柯西理论。这项研究的新颖之处在于将微波理论与分级多孔结构的均质化相结合,从而增强了对具有微结构特征的材料的预测。此外,还在 COMSOL 中开发了自定义有限元公式来实现微波弹性,从而显著提高了计算效率,以考虑复杂的几何形状、载荷和边界条件。为了展示该方法的适用性,我们使用该建模方法设计了一种牙科植入物,其功能特性模仿了天然骨骼的功能特性,以避免应力屏蔽,同时确保适当的咬合性。
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引用次数: 0
A Cepstrum-Informed neural network for Vibration-Based structural damage assessment 基于振动的结构损伤评估的倒频谱信息神经网络
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-25 DOI: 10.1016/j.compstruc.2024.107592
Lechen Li , Adrian Brügger , Raimondo Betti , Zhenzhong Shen , Lei Gan , Hao Gu
Data-driven methods for vibration-based Structural Health Monitoring (SHM) have gained significant popularity for their straightforward modeling process and real-time tracking capabilities. However, developing complex models such as deep neural networks can pose challenges, including limited interpretability and substantial computational demands, due to the large number of parameters and deep layer stacking. This study introduces a novel Cepstrum-Informed Attention-Based Network (CIABN) developed to model power cepstral coefficients of structural acceleration responses, guided by cepstrum-based physical properties to facilitate efficient structural damage assessment. The CIABN integrates three key components: a unique input–output mapping based on weighted cepstral coefficients, a novel cepstral positional encoding mechanism, and a multi-head self-attention mechanism. The unique input–output mapping enables appreciable model generalization in overall structural characteristics, with the weighted cepstral coefficients serving as informative and compact data for efficient neural network modeling. The developed cepstral positional encoding scientifically guides the model to capture the coefficient indices, and the underlying trend of cepstral coefficients primarily governed by overall structural characteristics. The multi-head attention mechanism enables computationally efficient parallel analysis of interdependencies among coefficients, facilitating the development of a lightweight network. The effectiveness and superiority of the method have been validated using both simulated and experimental structural data.
基于振动的结构健康监测(SHM)的数据驱动方法因其简单的建模过程和实时跟踪能力而大受欢迎。然而,开发复杂的模型(如深度神经网络)可能会带来挑战,包括由于大量参数和深层堆叠而导致的有限可解释性和大量计算需求。本研究介绍了一种新颖的基于倒频谱的注意力网络(CIABN),该网络以结构加速度响应的功率倒频谱系数为模型,以基于倒频谱的物理特性为指导,促进高效的结构损伤评估。CIABN 集成了三个关键部分:基于加权倒频谱系数的独特输入输出映射、新颖的倒频谱位置编码机制和多头自注意机制。独特的输入输出映射使模型在整体结构特征上具有明显的通用性,而加权倒频谱系数则为高效神经网络建模提供了翔实而紧凑的数据。所开发的倒频谱位置编码能科学地指导模型捕捉系数指数,而倒频谱系数的基本趋势主要受整体结构特征的支配。多头关注机制实现了系数间相互依赖关系的高效并行分析计算,促进了轻量级网络的发展。该方法的有效性和优越性已通过模拟和实验结构数据得到验证。
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引用次数: 0
Conforming embedded isogeometric analysis for B-Rep CAD models with strong imposition of Dirichlet boundary conditions using trivariate B++ splines 使用三变量 B++ 样条对具有强强加迪里希勒边界条件的 B-Rep CAD 模型进行符合嵌入式等距分析
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-20 DOI: 10.1016/j.compstruc.2024.107586
Xuefeng Zhu , Guangwu Ren , Xiangkui Zhang , Chunhui Yang , An Xi , Ping Hu , Zheng-Dong Ma
Strong imposition of Dirichlet boundary conditions for immersed finite element methods or immersed isogeometric methods remains a challenge. To address this issue, this paper presents a 3D conforming embedded isogeometric method for Boundary-Represented (B-Rep) solid CAD models by generalizing our bivariate B++ splines to trivariate B++ Splines. The proposed method can convert a B-Rep model into a trivariate B++ spline solid patch with body-fitted boundary representation while retaining key features of B-rep models, such as sharp points, sharp edges, and holes. The basis functions of the trivariate B++ spline solid patch satisfy the Kronecker delta property, which implies that we can strongly impose Dirichlet boundary conditions on B-Rep models without the necessity of Nitsche's method. The presented method can be viewed as a parameterization method that inherits the advantages of volumetric parameterization methods in that the basis functions of a reconstructed geometry satisfy the Galerkin method. In addition, compared with T-splines, the proposed method does not generate the extraordinary point and can achieve optimal convergence rate. Several numerical examples are used to demonstrate the reliability of the presented method.
为沉浸式有限元方法或沉浸式等几何方法强加 Dirichlet 边界条件仍然是一项挑战。为解决这一问题,本文通过将双变量 B++ 样条推广到三变量 B++ 样条,提出了一种针对边界表示(B-Rep)实体 CAD 模型的三维适配嵌入等距测量方法。所提出的方法可以将 B-Rep 模型转换为具有体拟合边界表示的三变量 B++ 样条实体补丁,同时保留 B-rep 模型的关键特征,如尖点、锐边和孔。三元 B++ 样条实心补丁的基函数满足 Kronecker delta 特性,这意味着我们可以在 B-Rep 模型上强加 Dirichlet 边界条件,而无需使用 Nitsche 方法。所提出的方法可以看作是一种参数化方法,它继承了体积参数化方法的优点,即重建几何体的基函数满足 Galerkin 方法的要求。此外,与 T-样条法相比,所提出的方法不会产生非常点,并能达到最佳收敛速度。通过几个数值实例证明了所提方法的可靠性。
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引用次数: 0
New implicit time integration schemes for structural dynamics combining high frequency damping and high second order accuracy 结合高频阻尼和高二阶精度的新型结构动力学隐式时间积分方案
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-20 DOI: 10.1016/j.compstruc.2024.107587
Eman Alhayki, Wulf G. Dettmer
The time integration schemes, GA-23 and GA-234, recently proposed by the authors for first order problems, are extended to solve second-order problems in structural dynamics. The resulting methods maintain unconditional stability and user-controlled high-frequency damping. They offer improved accuracy and exhibit less numerical damping in the low-frequency regime, outperforming the well-known generalised-α method. When the high-frequency damping is maximised the new schemes can be cast in the format of backward difference formulae, offering more accurate alternatives to the standard second order formula. The effectiveness of the new time integration schemes is validated through a number of numerical examples, including a linear elastic cantilever beam, a nonlinear spring pendulum, and wave propagation on a string.
作者最近针对一阶问题提出的时间积分方案 GA-23 和 GA-234 被扩展用于解决结构动力学中的二阶问题。由此产生的方法保持了无条件稳定性和用户可控的高频阻尼。这些方法提高了精度,并在低频状态下表现出较小的数值阻尼,优于著名的广义-α 方法。当高频阻尼最大化时,新方案可以采用后向差分公式的格式,为标准二阶公式提供更精确的替代方案。新时间积分方案的有效性通过大量数值示例得到验证,包括线性弹性悬臂梁、非线性弹簧摆和弦上的波传播。
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引用次数: 0
Synergistic approach: Peridynamics and machine learning regression for efficient pitting corrosion simulation 协同方法:用于高效点蚀模拟的周动力学和机器学习回归方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-20 DOI: 10.1016/j.compstruc.2024.107588
J. Ramesh Babu, S. Gopalakrishnan
Corrosion-induced material deterioration poses a pervasive threat to structural integrity, necessitating an in-depth understanding of its intricate behaviors. Pitting corrosion, a critical concern in this context, accelerates the degradation of materials. The limitations of conventional models arise from their neglect of the subsurface electrode boundary layer dynamics during the dissolution process. In this study, we present a novel approach that combines Peridynamics (PD) diffusion framework with machine learning (ML) techniques to develop an efficient predictive model and computational efficiency. The proposed hybrid PD-ML model leverages the non-local effects inherent to Peridynamics and the pattern recognition capabilities of machine learning. It establishes an analytical connection between the concentration value at a specific material point and the concentrations exhibited by related constituents within its spatial horizon, considering the external mass flux applied. The adaptability of the model is achieved through the utilization of weighted regression coefficients, determined via multivariate linear regression. Validation against experiments and conventional PD model demonstrates the model's precision and efficiency using diverse micro-diffusivity scenarios. For 1D uniform and 2D pitting corrosion cases, our hybrid model yields precise concentration predictions while showcasing a remarkable improvement in computational speed compared to conventional approaches. Specifically, the hybrid model achieves an impressive speedup, approximately 4 times faster per time step and 2.5 times faster overall simulation. The study presents a promising tool for predicting corrosion-induced material deterioration in practical systems, offering accuracy, efficiency, and potential for broader applications.
腐蚀引起的材料劣化对结构的完整性构成了普遍威胁,因此有必要深入了解其复杂的行为。点蚀是这方面的一个关键问题,它加速了材料的退化。传统模型的局限性在于忽略了溶解过程中的次表层电极边界层动力学。在本研究中,我们提出了一种新颖的方法,它将周动力学(PD)扩散框架与机器学习(ML)技术相结合,开发出一种高效的预测模型,并提高了计算效率。所提出的 PD-ML 混合模型利用了 Peridynamics 固有的非局部效应和机器学习的模式识别能力。该模型在特定材料点的浓度值和其空间范围内相关成分的浓度之间建立了分析联系,并考虑了所应用的外部质量通量。该模型的适应性是通过多元线性回归确定的加权回归系数实现的。根据实验和传统的 PD 模型进行验证,证明了该模型在不同微扩散情况下的精度和效率。对于一维均匀腐蚀和二维点状腐蚀情况,我们的混合模型可以得出精确的浓度预测结果,同时与传统方法相比,计算速度有了显著提高。具体来说,混合模型实现了令人印象深刻的提速,每个时间步约快 4 倍,整体模拟快 2.5 倍。这项研究为预测实际系统中由腐蚀引起的材料劣化提供了一种前景广阔的工具,不仅准确、高效,而且具有更广泛的应用潜力。
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引用次数: 0
Extended formulation of macro-element based modelling – Application to single-lap bonded joints 基于宏观元素建模的扩展表述 - 单搭接粘接接头的应用
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-20 DOI: 10.1016/j.compstruc.2024.107589
Sébastien Schwartz, Éric Paroissien, Frédéric Lachaud
An extended formulation of the macro-element (ME) based models, representing for both adherends and adhesive along the entire overlap in only one four-node element, is presented. Compared to earlier modelling, continuum ME (CME) and discrete ME (DME) based models, the adherend parts are also modelled as plane continuum media, for which high order displacement fields are freely supposed. Both extended CME (ECME) and extended DME (EDME) based modelling can have their displacement field orders of each continuum layer be set individually, and can be enriched using springs for interfaces or boundary conditions modelling, allowing the stresses to vanish at the free edges. The methodology and formulation of the stiffness matrix for both the adherend without adhesive and the bonded overlap is presented. The assessment is performed for a single-lap joint geometry by comparison results from a plane strain finite element (FE) model with extended ME-based models. Good agreements are shown for both thin and thick adhesive case studies.
本文介绍了基于宏元素(ME)模型的扩展表述,即仅用一个四节点元素来表示整个重叠部分的粘附物和粘合剂。与早期的建模、基于连续介质 ME(CME)和离散介质 ME(DME)的模型相比,粘合剂部分也被建模为平面连续介质,可以自由假设高阶位移场。基于扩展连续介质模型(ECME)和扩展离散介质模型(EDME)的建模可以单独设置每个连续层的位移场阶数,还可以使用弹簧丰富界面或边界条件建模,使自由边缘的应力消失。本文介绍了无粘合剂粘合剂和有粘合剂重叠粘合剂的刚度矩阵计算方法和公式。通过比较平面应变有限元(FE)模型和基于 ME 的扩展模型的结果,对单搭接几何形状进行了评估。薄粘合剂和厚粘合剂的案例研究均显示出良好的一致性。
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引用次数: 0
Prediction of nonlinear dynamic responses and generation of seismic fragility curves for steel moment frames using boosting machine learning techniques 利用提升机器学习技术预测钢弯矩框架的非线性动态响应并生成地震脆性曲线
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-19 DOI: 10.1016/j.compstruc.2024.107580
Farzaneh Zareian , Mehdi Banazadeh , Mohammad Sajjad Zareian
The main objective of this paper is to develop machine learning (ML) models for predicting the seismic responses of steel moment frames. For this purpose, four boosting ML techniques-gradient boosting, XGBoost, LightGBM, and CatBoost-were developed in Python. To create an inclusive dataset, 92,400 nonlinear time-history analyses were performed on 1,848 steel moment frames under 50 earthquakes using OpenSeesPy. Geometric configurations, structural properties, and ground motion intensity measures were considered as the inputs for the models. The outputs included maximum global drift ratio (MGDR), maximum interstory drift ratio (MIDR), base shear coefficient (BSC), and maximum floor acceleration (MFA). The study also investigated the effectiveness of the ML models in estimating fragility curves for an 8-story steel frame at different performance levels. Finally, a web application was developed to facilitate the estimation of the peak dynamic responses for steel moment frames. The results show that the LightGBM and CatBoost models demonstrate superior predictive performance, with coefficient of determinations (R2) higher than 0.925. Furthermore, the LightGBM models can estimate the fragility curves with minimal errors (e.g., the relative errors in the median values of the predicted curves are less than 10%).
本文的主要目的是开发用于预测钢矩形框架地震响应的机器学习(ML)模型。为此,使用 Python 开发了四种增强 ML 技术--梯度增强、XGBoost、LightGBM 和 CatBoost。为了创建一个包容性数据集,我们使用 OpenSeesPy 对 50 次地震中的 1848 个钢弯矩框架进行了 92400 次非线性时史分析。几何配置、结构属性和地动强度测量值被视为模型的输入。输出结果包括最大总体漂移比 (MGDR)、最大层间漂移比 (MIDR)、基底剪切系数 (BSC) 和最大楼层加速度 (MFA)。研究还调查了 ML 模型在估算不同性能等级的 8 层钢结构框架脆性曲线时的有效性。最后,还开发了一个网络应用程序,以方便估算钢矩形框架的峰值动态响应。结果表明,LightGBM 和 CatBoost 模型的预测性能优越,确定系数 (R2) 高于 0.925。此外,LightGBM 模型能以最小的误差估算脆性曲线(例如,预测曲线中值的相对误差小于 10%)。
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引用次数: 0
Bearing capacity analysis of RC slabs under cyclic loads: Dual numerical approaches 循环荷载下的钢筋混凝土板承载能力分析:双重数值方法
IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-16 DOI: 10.1016/j.compstruc.2024.107585
Phuc L.H. Ho , Canh V. Le , Dung T. Tran , Phuong H. Nguyen , Jurng-Jae Yee
Shakedown analysis is a powerful and efficient tool for calculating the safety factors of structures under variable and repeated external quasi-static loads, that can prevent structures from incremental and alternative plasticity collapses. RC slabs in practical engineering applications are usually under long-tern variable and cyclic loads, but their fatigue behavior was rarely reported in the literature, particularly for those governed by the Nielsen yield condition. In this paper, dual static and kinematic shakedown formulations based on displacement-finite elements and conic programming are developed. The resulting optimization problems, characterized by a huge number of variables, are effectively solved. A wide range of practical RC slabs with diverse geometries, loading and boundary conditions are investigated, precisely capturing the collapse modes in terms localized plastic dissipation energy and presenting moment distribution at fatigue state. Strengthening strategies are performed in regions with localized plastic dissipation energy, showing that the load-bearing capacity of such slabs increases significantly while incremental and alternative collapse modes are prevented.
振动分析是一种强大而有效的工具,用于计算结构在可变和重复外部准静态荷载作用下的安全系数,可防止结构发生增量和替代塑性坍塌。实际工程应用中的钢筋混凝土板通常处于长期可变和循环荷载下,但其疲劳行为在文献中鲜有报道,尤其是受尼尔森屈服条件制约的疲劳行为。本文基于位移有限元和圆锥程序设计,提出了静态和运动学双重减震公式。由此产生的优化问题具有变量数量庞大的特点,但却能得到有效解决。研究了具有不同几何形状、荷载和边界条件的各种实用 RC 板,精确捕捉了局部塑性耗散能量的坍塌模式,并呈现了疲劳状态下的力矩分布。在具有局部塑性耗散能的区域实施了加固策略,结果表明,在防止增量和替代坍塌模式的同时,此类板的承载能力显著提高。
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引用次数: 0
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