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Phase field thermal shock analysis of rotating porous cracked pretwisted FGM microblade using exact shear correction factor 使用精确剪切校正因子对旋转多孔裂纹预扭曲 FGM 微刀进行相场热冲击分析
Pub Date : 2024-09-18 DOI: 10.1177/03093247241273785
Shashank Pandey
The present work is an attempt to develop a simple and accurate finite element formulation for the thermal shock analysis of the rotating porous cracked pretwisted functionally graded material (FGM) microblade using modified coupled stress theory in conjunction with phase-field and first-order shear deformation theory (FSDT). The physical neural surface is taken as the reference plane and the exact value of the shear correction factor is calculated from the shear stiffness. The elastic properties are assumed to be temperature-dependent and the upper ceramic layer is subjected to a high thermal shock whereas the bottom metallic layer is maintained at room temperature or is thermally insulated. The governing differential equation for the present analysis is derived using Hamilton’s principle and Newmark average acceleration method is used to obtain the transient response of the rotating porous cracked pretwisted FGM microblade subjected to thermal shock. The results obtained from the present finite element formulation are first validated with several benchmark examples available in the literature. New results are presented investigating the effect of crack depth, crack location, crack angle, rotational velocity and material scale ratio on the transient response of the cracked rotating porous pretwisted FGM microblade subjected to thermal shock. It is shown here that the parameters like crack depth, crack location and crack angle have a significant influence on the transient response of the rotating porous cracked pretwisted FGM microblade.
本研究试图利用修正耦合应力理论,结合相场和一阶剪切变形理论(FSDT),为旋转多孔裂纹预扭曲功能分级材料(FGM)微刀片的热冲击分析开发一种简单而精确的有限元公式。以物理神经面为参考平面,根据剪切刚度计算剪切修正系数的精确值。假设弹性特性与温度有关,上层陶瓷层受到高热冲击,而下层金属层保持室温或隔热。利用汉密尔顿原理推导出本分析的支配微分方程,并使用纽马克平均加速度方法获得旋转多孔裂纹预扭曲 FGM 微刀在受到热冲击时的瞬态响应。首先用文献中的几个基准实例验证了本有限元计算方法得出的结果。新结果研究了裂纹深度、裂纹位置、裂纹角度、旋转速度和材料比例比对受热冲击的多孔裂纹旋转预扭曲 FGM 微叶片瞬态响应的影响。结果表明,裂纹深度、裂纹位置和裂纹角度等参数对旋转多孔裂纹预扭曲 FGM 微叶片的瞬态响应有显著影响。
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引用次数: 0
Predictive modeling of spring-back in pre-punched sheet roll forming using machine learning 利用机器学习对预冲孔板材辊压成型中的回弹进行预测建模
Pub Date : 2024-07-26 DOI: 10.1177/03093247241263685
Ali Zeinolabedin-Beygi, Hassan Moslemi Naeini, Hossein Talebi-Ghadikolaee, Amir Hossein Rabiee, Saeid Hajiahmadi
This study outlines an experimental and computational endeavor aimed at developing a machine learning model to estimate spring-back values utilizing the decision tree methodology. A design of experiment approach was employed to collect a dataset, and based on the experimental results, a precise model was constructed to predict spring-back values. The model considered parameters such as thickness, diameter of circle hole, distance between the center hole and flange edge, and hole spacing. Various hyper parameters, including max depth and minimum samples for split, were explored, with configurations such as (30,5), (20,8), and (10,2) being evaluated to identify the optimal model for spring-back prediction. Analysis of the results demonstrated that the decision tree models accurately estimated spring-back values in cold roll forming of pre-punched sheets based on the input parameters. The coefficient of determination in the test section for decision tree models with parameters (30,5), (20,8), and (10,2) was found to be 0.90, 0.98, and 0.96, respectively. Additionally, the percentage of absolute error in the test section for the same decision tree models was calculated as 8.84%, 6.18%, and 7.6%, respectively.
本研究概述了一项实验和计算工作,旨在开发一种机器学习模型,利用决策树方法估算回弹值。研究采用了实验设计方法来收集数据集,并根据实验结果构建了一个精确模型来预测回弹值。该模型考虑了厚度、圆孔直径、中心孔与凸缘边缘之间的距离以及孔间距等参数。对包括最大深度和最小分割样本在内的各种超参数进行了探讨,并对 (30,5)、(20,8) 和 (10,2) 等配置进行了评估,以确定回弹预测的最佳模型。结果分析表明,决策树模型能根据输入参数准确估算预冲孔板材冷弯成型的回弹值。参数为 (30,5)、(20,8) 和 (10,2) 的决策树模型在测试部分的确定系数分别为 0.90、0.98 和 0.96。此外,计算得出相同决策树模型在测试部分的绝对误差百分比分别为 8.84%、6.18% 和 7.6%。
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引用次数: 0
Eliminating eccentricity error in measuring residual stresses via hole-drilling method using strain gauge rosette with five measuring grids: For thin plates using through-holes 使用带有五个测量网格的应变片罗盘,通过钻孔法消除测量残余应力时的偏心误差:针对使用通孔的薄板
Pub Date : 2024-07-26 DOI: 10.1177/03093247241262178
Ying Gu, Jiaojiao Chen, Song Gu, Chao Kong, Songbo Ren, Yixiang Du
In the measurement of residual stresses (RSs) via the hole-drilling method, the error induced by the eccentricity of the drilled hole is inevitable and non-negligible in some cases. In this study, both the eccentricity coordinates and RS state (two principal stresses and one principal angle) are considered unknowns that must be solved. A set of five equations is required to determine these five unknowns. Therefore, two additional measuring grids are added to the strain gauge comprising three grids, which is typically used in measuring RSs. Consequently, a novel strain gauge rosette with five measuring grids (SGR-5MG) is created. Subsequently, an algorithm associated with the SGR-5MG is developed to solve the five unknowns based on the Newton–Raphson method. The algorithm is elasticity-based and derived according to the layout of the SGR-5MG. Finally, the proposed method is verified numerically and experimentally. The results show that (1) the eccentricity error is up to 35.1% when the eccentricity reaches 0.05 D, where D represents the diameter of the gauge circle; (2) Using the proposed method, the error can be significantly reduced to 7.2%; (3) The elasticity-based proposed method cannot make the predicted results exactly converge to the actual stresses in predicting high stresses because of the plasticity deformation around the hole. The eccentricity error can be reduced significantly by using the proposed method based on the SGR-5MG.
在通过钻孔法测量残余应力(RS)时,钻孔偏心引起的误差是不可避免的,而且在某些情况下不可忽略。在本研究中,偏心坐标和 RS 状态(两个主应力和一个主角)都是必须求解的未知数。确定这五个未知数需要五个方程组。因此,在测量 RS 时通常使用的由三个网格组成的应变片上又增加了两个测量网格。因此,一种带有五个测量网格的新型应变片(SGR-5MG)应运而生。随后,开发了一种与 SGR-5MG 相关的算法,以基于牛顿-拉斐逊法求解五个未知数。该算法基于弹性,并根据 SGR-5MG 的布局进行推导。最后,对所提出的方法进行了数值和实验验证。结果表明:(1) 当偏心率达到 0.05 D 时,偏心率误差高达 35.1%,其中 D 代表测量圆的直径;(2) 使用所提出的方法,偏心率误差可显著降低到 7.2%;(3) 在预测高应力时,由于孔周围的塑性变形,基于弹性的所提出的方法无法使预测结果完全收敛到实际应力。使用基于 SGR-5MG 的建议方法可以显著减少偏心误差。
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引用次数: 0
Creep damage assessment of HR3C austenitic steel by using misorientation parameters derived from EBSD technique 利用 EBSD 技术得出的错误取向参数评估 HR3C 奥氏体钢的蠕变损伤
Pub Date : 2024-07-23 DOI: 10.1177/03093247241260900
Gaole Hong, Na Risu, Fubao Zhang, Maoxun Sun, Yue Zhang, Xiao Wang
The evaluation ability of misorientation parameters and Kikuchi band parameters on creep damage of HR3C austenitic steel is reported in this paper. HR3C steel samples were subjected to the creep process for 475, 756, 1240, and 1300 h, respectively. During the creep process, the average kernel average misorientation (KAM) and grain reference orientation deviation (GROD) increased significantly overall as the creep time increased, while the average mean angle deviation (MAD) and band contrast (BC) did not show significant changes. When comparing GROD and KAM, it was found that the variation range of GROD is larger and the variation trend is monotonous, making GROD more suitable for evaluating the creep damage of HR3C steel. Subsequently, the physical mechanism of GROD is derived and studied.
本文报告了错误取向参数和菊池带参数对 HR3C 奥氏体钢蠕变损伤的评估能力。对 HR3C 钢样品分别进行了 475、756、1240 和 1300 h 的蠕变过程。在蠕变过程中,随着蠕变时间的增加,平均晶核平均取向偏差(KAM)和晶粒参考取向偏差(GROD)总体上显著增加,而平均平均角度偏差(MAD)和晶带对比度(BC)则没有显著变化。对比 GROD 和 KAM 发现,GROD 的变化范围更大,且变化趋势单调,因此 GROD 更适合评估 HR3C 钢的蠕变损伤。随后,对 GROD 的物理机理进行了推导和研究。
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引用次数: 0
3D dynamic contact analysis of tyre internal deformation using 2D image sensor 利用二维图像传感器对轮胎内部变形进行三维动态接触分析
Pub Date : 2024-05-18 DOI: 10.1177/03093247241252497
JongWook Lim, JongHwan Kim, Sung Jin Kim, KyeJoo Song, Seong Yun Kim
Due to the increasing weight of electric vehicles, advanced tyre technology is urgently needed. In particular, there is a need for dynamic contact analysis to determine the energy interaction between tyres and road surfaces. However, the methods developed to date are limited in that they require either numerous contact patches inside the tyre or sensor devices on the ground. In this study, we propose a new method for dynamic tyre-ground contact analysis that overcomes these limitations. By installing a two-dimensional image sensor inside the tyre, deformations can be observed and quantified three-dimensionally during vehicle operation. This method advances tyre engineering through innovative analysis of tyre deformation during operation.
由于电动汽车的重量不断增加,迫切需要先进的轮胎技术。特别是需要进行动态接触分析,以确定轮胎与路面之间的能量相互作用。然而,迄今为止开发的方法都有局限性,因为它们需要轮胎内部的大量接触斑块或地面上的传感器装置。在本研究中,我们提出了一种新的轮胎与地面接触动态分析方法,克服了这些局限性。通过在轮胎内部安装一个二维图像传感器,可以对车辆运行过程中的变形进行三维观测和量化。这种方法通过对轮胎运行过程中的变形进行创新分析,推动了轮胎工程的发展。
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引用次数: 0
Investigation of the effect of anisotropy on Generalized Forming Limit Diagram 各向异性对广义成型极限图影响的研究
Pub Date : 2024-05-08 DOI: 10.1177/03093247241244564
Mohammad Mehdi Ghane Shalmani, Ali Basti, Abolfazl Taherkhani
In contemporary industrial practices, various methods are employed to subject raw metal sheets to deformation in order to fabricate requisite components. These sheets exhibit a defined capacity for deformation during the forming process. Over recent decades, a plethora of experimental and numerical methodologies have emerged to ascertain these forming limits. Initially, a forming limit diagram (FLD) was devised, predicated on the phenomenon of necking, under the assumption that forming takes place under plane-stress conditions. However, in certain complex processes like hydroforming and incremental forming, necking can manifest at sites where normal and through-thickness shear stresses act upon the sheet in addition to the in-plane stresses, rendering the plane-stress assumption inadequate for predicting forming limits in such scenarios. Thus, it becomes imperative to derive a diagram that can accurately forecast forming limits in these processes. This study aims to establish a Generalized Forming Limit Diagram (GFLD) through numerical means. GFLDs were constructed utilizing two distinct yield functions, namely Von-Mises and Hill48, for isotropic and anisotropic states, respectively. The findings reveal that normal compressive stress and through-thickness shear strain augment the formability of sheet metals. Furthermore, the outcomes illustrate that accounting for anisotropy introduces variances between diagrams in some regions of the FLD curve while the discrepancies are minor within the central regions.
在当代工业实践中,人们采用各种方法使未加工的金属板发生变形,以制造出所需的部件。这些金属板在成型过程中会表现出一定的变形能力。近几十年来,出现了大量实验和数值方法来确定这些成形极限。最初,根据缩颈现象设计了成形极限图 (FLD),假设成形是在平面应力条件下进行的。然而,在某些复杂的工艺(如液压成形和增量成形)中,除了平面内应力外,颈缩还可能发生在法向应力和厚度剪切应力作用在板材上的位置,因此平面应力假设不足以预测这种情况下的成形极限。因此,当务之急是推导出一个能准确预测这些过程中成形极限的图表。本研究旨在通过数值方法建立广义成形极限图(GFLD)。在各向同性和各向异性状态下,分别利用两种不同的屈服函数(即 Von-Mises 和 Hill48)构建了 GFLD。研究结果表明,法向压应力和厚度剪切应变可提高金属薄片的成型性。此外,研究结果还表明,考虑各向异性会在 FLD 曲线的某些区域带来图表之间的差异,而在中心区域差异较小。
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引用次数: 0
Random load identification of cylindrical shell structure based on multi-layer neural network and support vector regression 基于多层神经网络和支持向量回归的圆柱形壳体结构随机载荷识别
Pub Date : 2024-04-26 DOI: 10.1177/03093247241245185
Xinliang Yang, Yanfeng Guo, Yawen Chen, Jinwei Zhao, Longlei Dong, Yanjun Lü
A new-type identification method in the frequency domain by combining a multi-layer neural network and support vector regression is proposed to identify random load of a complex cylindrical shell structure. The kernel function of support vector regression has a great influence on the prediction accuracy of machine learning model, and it is effective to employ the linear function. As the penalty factor is large, the identification accuracy of the Gaussian kernel function is close to the linear kernel function. In the process of random load identification, the prediction accuracy of the neural network using the L-BFGS method is higher than the traditional Adam method. The number of hidden layers of the neural network has little effect on the L-BFGS algorithm, but a great effect on the Adam method. Different levels of noise are introduced to verify the robustness of the machine learning model. Both the support vector regression with linear kernel function and neural network model based on the L-BFGS method have strong robustness. For the noise percentage of 1%, the support vector regression has better prediction accuracy than the neural network, yet the case is contrary for the noise percentage greater than 5%. The verification shows that the neural network model trained by simulation data has better identification accuracy for real load at some frequencies. The load identification method is proposed based on the frequency points which may establish the machine learning model. The mean absolute percentage error shows that the method based on a multi-layer neural network and support vector regression has high identification accuracy.
针对复杂圆柱形壳体结构的随机载荷识别,提出了一种结合多层神经网络和支持向量回归的新型频域识别方法。支持向量回归的核函数对机器学习模型的预测精度影响很大,采用线性函数是有效的。由于惩罚因子较大,高斯核函数的识别精度接近线性核函数。在随机负荷识别过程中,采用 L-BFGS 方法的神经网络的预测精度高于传统的 Adam 方法。神经网络的隐层数对 L-BFGS 算法影响不大,但对 Adam 方法影响很大。为了验证机器学习模型的鲁棒性,引入了不同程度的噪声。带线性核函数的支持向量回归和基于 L-BFGS 方法的神经网络模型都具有很强的鲁棒性。当噪声百分比为 1%时,支持向量回归的预测精度优于神经网络,但当噪声百分比大于 5%时,情况则相反。验证结果表明,由仿真数据训练的神经网络模型对某些频率的实际负载具有更好的识别精度。基于频点提出的负载识别方法可以建立机器学习模型。平均绝对误差百分比表明,基于多层神经网络和支持向量回归的方法具有较高的识别精度。
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引用次数: 0
Static, buckling, and free vibration responses of functionally graded carbon nanotube-reinforced composite beams with elastic foundation in non-polynomial framework 非多项式框架下带弹性地基的功能分级碳纳米管增强复合梁的静态、屈曲和自由振动响应
Pub Date : 2024-04-10 DOI: 10.1177/03093247241234707
Abhijeet Babar, Rosalin Sahoo
In this work, the static, buckling, and free vibration analysis of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beam resting on a Pasternak elastic foundation are studied. The secant function-based shear deformation theory (SFSDT) is used for this analysis. This theory fulfills the traction-free boundary conditions at the top and bottom surfaces of the beam, hence there is no need for a shear correction factor. Hamilton’s principle is used to determine the governing differential equations and boundary conditions whereas Navier’s solution technique is used for determining the closed-form solution. The analytical approach is used to examine the deflection, stresses, critical buckling load, and natural frequencies of the FG-CNTRC beam resting on the Pasternak elastic foundation including a shear layer and Winkler springs. To determine the material characteristics of FG-CNTRC beams, the Rule of the mixture is used. Uniform distribution (UD-beam), FG-X beam, FG-O beam, and FG-V beam are the different forms of CNT reinforcement distribution that are used in this study. Considering different span thickness ratios, the volume fraction and distribution of CNT, the Winkler spring, and the shear layer constant factors, all the structural responses are predicted. It is also observed that the present theory predicts the structural responses of the FG-CNTRC beam accurately when compared to other existing theories. A few new results are also included as the benchmark solutions for the new research.
本文研究了位于帕斯捷尔纳克弹性地基上的功能分级碳纳米管增强复合材料(FG-CNTRC)梁的静力、屈曲和自由振动分析。该分析采用了基于秒函数的剪切变形理论(SFSDT)。该理论满足梁顶部和底部表面的无牵引边界条件,因此无需剪切修正系数。汉密尔顿原理用于确定支配微分方程和边界条件,而纳维耶求解技术则用于确定闭式解。分析方法用于研究 FG-CNTRC 梁的挠度、应力、临界屈曲载荷和固有频率,该梁位于包括剪力层和温克勒弹簧在内的帕斯捷尔纳克弹性地基上。为确定 FG-CNTRC 梁的材料特性,采用了混合物规则。本研究采用了均匀分布(UD-梁)、FG-X 梁、FG-O 梁和 FG-V 梁等不同的 CNT 配筋分布形式。考虑到不同的跨度厚度比、碳纳米管的体积分数和分布、温克勒弹簧和剪切层常数因子,所有的结构响应均可预测。与其他现有理论相比,本理论能准确预测 FG-CNTRC 梁的结构响应。此外,还包括一些新结果,作为新研究的基准解决方案。
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引用次数: 0
Progressive failure prediction of laminated composite thin skew plates under transverse loading using nonlinear strains 利用非线性应变预测横向加载下层状复合薄斜板的渐进破坏
Pub Date : 2024-03-30 DOI: 10.1177/03093247241240821
D. Chatterjee, Arghya Ghosh, Dipankar Chakravorty
A review of literature about industrially important composite skew plates, which are used as roofing and flooring units to cover non-rectangular parallelogram shaped plan areas, shows that the aspect of progressive failure has not received any attention from researchers which is essential to comprehensively understand failure behaviour from initiation to the ultimate stage. In the present approach stiffness degradation of a damaged plate is considered only at the point of damage in the corresponding lamina at all stages of first and progressive failure and the present outputs match excellently with published experimental results. This realistic modelling of failure behaviour is the novelty of this paper. Apart from reporting the failure load values, the failure zones and nature of damage progress on the skew plate surfaces are also presented which are expected to be valuable inputs for non-destructive health monitoring.
有关工业上重要的复合斜板(用作覆盖非矩形平行四边形平面区域的屋顶和地板单元)的文献综述显示,渐进破坏方面尚未得到研究人员的关注,而这对于全面了解从开始到最终阶段的破坏行为至关重要。在本方法中,受损板材的刚度衰减仅在首次和渐进失效的所有阶段的相应薄板的受损点处进行考虑,其输出结果与已公布的实验结果非常吻合。这种逼真的破坏行为建模是本文的新颖之处。除了报告失效载荷值外,本文还介绍了倾斜板表面的失效区和损伤进展性质,预计这将为无损健康监测提供有价值的信息。
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引用次数: 0
An artificial intelligence-based approach for identifying the in-plane orthotropic mechanical properties of electronic circuit boards 基于人工智能的电子线路板平面正交机械特性识别方法
Pub Date : 2024-03-28 DOI: 10.1177/03093247241240832
Mohammad A. Gharaibeh
The finite element modeling of electronic boards is a challenging task due to the complexity of the multi-component board structure. Hence, it is acceptable to attain equivalent orthotropic in-plane mechanical properties and use them throughout the finite element analysis (FEA) simulations. This paper aims to present an artificial intelligence-based methodology, using the artificial neural networks (ANNs), to estimate the in-plane mechanical properties of the printed circuit boards (PCB). In this methodology, the ANN technique used FEA data to find the relationship between the first 10 natural frequencies and the mechanical properties, that is, modulus of elasticity, Poisson’s ratio and the shear modulus, of the test board. Subsequently, the experimentally derived natural frequency data is then imported to the ANN model to identify the equivalent orthotropic properties. The ANN-predicted properties are plugged back into FEA and provided natural frequencies and mode shapes that are in great match with experimental results.
由于多组件电路板结构的复杂性,电子电路板的有限元建模是一项具有挑战性的任务。因此,在整个有限元分析(FEA)模拟过程中,获得等效的正交平面力学性能并加以使用是可以接受的。本文旨在介绍一种基于人工智能的方法,利用人工神经网络(ANN)估算印刷电路板(PCB)的面内机械特性。在该方法中,ANN 技术利用有限元分析数据找出前 10 个自然频率与测试板的机械性能(即弹性模量、泊松比和剪切模量)之间的关系。随后,将实验得出的固有频率数据导入 ANN 模型,以确定等效的正交特性。将 ANN 预测的属性输入到有限元分析中,得到的固有频率和模态振型与实验结果非常吻合。
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引用次数: 0
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The Journal of Strain Analysis for Engineering Design
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