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An efficient isogeometric topology optimization based on the adaptive damped geometric multigrid method 基于自适应阻尼几何多网格法的高效等几何拓扑优化方法
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-13 DOI: 10.1016/j.advengsoft.2024.103712
Shijie Luo , Feng Yang , Yingjun Wang

The efficiency of solving sparse linear equations in isogeometric topology optimization (ITO) can be improved by the multigrid algorithm due to its excellent convergence rate. However, its convergence rate heavily relies on the smoother's parameters. To address this problem, a new h-refinement multigrid conjugate gradient method with adaptive damped Jacobi (ADJ-hMGCG) has been developed. By analyzing the eigenvalues of the stiffness matrix, the damping coefficient of the smoother that achieves the fastest convergence rate has been determined. Due to the significant computational resources required to compute eigenvalues in the stiffness matrix, this paper also presents a preconditioned power method based on ITO and geometric multigrid characteristics to improve the efficiency of adaptive damping solutions. The results of 2D and 3D numerical examples show that the ADJ-hMGCG method successfully improves the solution speed and robustness while meeting the accuracy requirements of topology optimization, and the total computational cost can be reduced by up to 59 % compared to traditional solvers for large-scale problems.

多网格算法具有出色的收敛速度,可以提高等距拓扑优化(ITO)中稀疏线性方程的求解效率。然而,它的收敛速度在很大程度上依赖于平滑器的参数。为了解决这个问题,我们开发了一种新的具有自适应阻尼雅各比的 h- 精化多网格共轭梯度法(ADJ-hMGCG)。通过分析刚度矩阵的特征值,确定了实现最快收敛速度的平滑器阻尼系数。由于计算刚度矩阵中的特征值需要大量的计算资源,本文还提出了一种基于 ITO 和几何多网格特性的预条件幂方法,以提高自适应阻尼解的效率。二维和三维数值实例的结果表明,ADJ-hMGCG 方法在满足拓扑优化精度要求的同时,成功地提高了求解速度和鲁棒性,与大规模问题的传统求解器相比,总计算成本最多可降低 59%。
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引用次数: 0
An adaptive dimension-reduction Chebyshev metamodel 自适应降维切比雪夫元模型
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-10 DOI: 10.1016/j.advengsoft.2024.103720
Yichen Zhou, Feng Li, Hongfeng Li, Shijun Qu

An adaptive dimension-reduction Chebyshev metamodel (ADC) is proposed to balance the accuracy and efficiency of dimension-reduction Chebyshev metamodels. A univariate dimension-reduction Chebyshev metamodel (UDC) is constructed by the dimension-reduction method and the Chebyshev metamodel. Based on the UDC, the bivariate terms largely impacting the metamodel are selected using an adaptive selection method, and are combined with the UDC to construct the ADC. The ADC has higher accuracy than the UDC because more calculated sample points are added. Compared with the bivariate dimension-reduction Chebyshev metamodel, the ADC needs fewer sample points and has higher efficiency. The result of numerical examples illustrate that ADC has higher accuracy compared with other commonly-used metamodels and is more suitable for approximating high-dimensional complex models.

为了平衡降维切比雪夫元模型的精度和效率,我们提出了一种自适应降维切比雪夫元模型(ADC)。通过降维方法和切比雪夫元模型,构建了单变量降维切比雪夫元模型(UDC)。在 UDC 的基础上,使用自适应选择方法选出对元模型影响较大的二变量项,并与 UDC 结合,构建 ADC。由于增加了更多的计算样本点,ADC 比 UDC 具有更高的精度。与二维降维切比雪夫元模型相比,ADC 需要的样本点更少,效率更高。数值示例结果表明,与其他常用元模型相比,ADC 具有更高的精度,更适合逼近高维复杂模型。
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引用次数: 0
Parallelized plastic coupling of non-ordinary state-based peridynamics and finite element method 基于非平凡状态的周动力学与有限元法的并行塑性耦合
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-10 DOI: 10.1016/j.advengsoft.2024.103718
Suyeong Jin , Sunwoo Kim , Jung-Wuk Hong

Parallel computing is essential for enhancing computational efficiency and advancing computational mechanics. To reduce the computational cost, peridynamics, a nonlocal numerical method, has been coupled with the finite element method (FEM). However, the accurate modeling of plastic deformation within the coupling framework of the FEM and non-ordinary state-based peridynamics (NOSB-PD) requires further investigation and might add to the computational expense. In this study, the open multi-processing application interface (OpenMP) is implemented for the plastic coupling of the FEM and stabilized NOSB-PD. The framework for the plastic coupling model using OpenMP is described in detail. The implemented code is used to investigate the coupling boundary effect on plastic deformation depending on the size of the coupling zone. After verifying the plastic coupling, the parallelization performance of the coupling model is examined. The efficient coupling model is applied to simulate plastic deformation on a plate with a circular hole, and the displacement results show good agreement with the reference solution. The proposed coupling model can be applied to efficiently solve the plastic deformation and fracture in future studies.

并行计算对于提高计算效率和推动计算力学的发展至关重要。为了降低计算成本,周动力学这种非局部数值方法已经与有限元方法(FEM)相结合。然而,在有限元法和基于非平凡状态的周动力学(NOSB-PD)耦合框架内对塑性变形进行精确建模还需要进一步研究,而且可能会增加计算费用。在本研究中,针对有限元和稳定 NOSB-PD 的塑性耦合实现了开放式多处理应用接口(OpenMP)。本文详细介绍了使用 OpenMP 的塑性耦合模型框架。实施的代码用于研究耦合边界对塑性变形的影响,这种影响取决于耦合区的大小。在验证了塑性耦合之后,研究了耦合模型的并行化性能。将高效耦合模型用于模拟带圆孔的板的塑性变形,位移结果与参考解显示出良好的一致性。所提出的耦合模型可用于未来研究中塑性变形和断裂的高效求解。
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引用次数: 0
A CFD simulation platform for surface finishing processes in advanced manufacturing 先进制造业表面精加工工艺的 CFD 仿真平台
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-10 DOI: 10.1016/j.advengsoft.2024.103716
Bud Fox, Keni Chih-Hua Wu, Shengwei Ma, Stephen Yee Ming Wan

Products created by additive manufacturing often have surface imperfections that require post-processing operations to remove extraneous material in order to meet design specifications. The usage of computational fluid dynamics (CFD) simulations to predict material removal rates of components, allows practitioners to optimize the setup and usage of post-processing equipment. However, those without in-depth knowledge of CFD or the related specialized software, require an easy-to-use and cost-effective application to manage the computational workflow. The two specific surface finishing applications investigated here, are, abrasive flow machining (AFM) and robotic stream finishing (RSF). In order to satisfy user requirements, a modular, threaded, fault-tolerant and object-oriented project management application, written with the Python programming language and PyQt6 framework, has been developed to conduct surface finishing-related CFD simulations using OpenFOAM®. The advantages of the proposed software are: 1) the modern PyQt6 framework is used to develop a cross-platform and user-friendly application which employs the model-view class architectural paradigm for data management and its display, 2) step-by-step interactive project workflows have been tailored specifically for AFM and RSF simulations, 3) the developed steady-state viscoelastic flow solver for AFM and continuum-based steady-state dense granular flow solver for RSF, offer advantages over those provided by OpenFOAM® and 4) simulation results have been corroborated by experimental data to assess the improved accuracy of material removal prediction of the current software when compared to other commercial applications.

快速成型制造的产品通常会有表面缺陷,需要进行后处理操作来去除多余材料,以满足设计规范。使用计算流体动力学(CFD)模拟来预测部件的材料去除率,可以让从业人员优化后处理设备的设置和使用。然而,那些对 CFD 或相关专业软件缺乏深入了解的人,需要一个易于使用且经济高效的应用程序来管理计算工作流程。本文研究的两个具体表面精加工应用是磨料流加工(AFM)和机器人流精加工(RSF)。为了满足用户的要求,我们开发了一个模块化、线程化、容错和面向对象的项目管理应用程序,使用 Python 编程语言和 PyQt6 框架编写,利用 OpenFOAM® 进行与表面精加工相关的 CFD 仿真。该软件的优势在于1) 使用现代 PyQt6 框架开发跨平台、用户友好的应用程序,采用模型-视图类架构范例进行数据管理和显示;2) 专为 AFM 和 RSF 模拟定制了分步交互式项目工作流、3) 为 AFM 开发的稳态粘弹性流动求解器和为 RSF 开发的基于连续体的稳态致密颗粒流动求解器,与 OpenFOAM® 提供的求解器相比具有优势;以及 4) 仿真结果得到了实验数据的证实,评估了与其他商业应用软件相比,当前软件在材料去除预测方面所提高的准确性。
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引用次数: 0
Machine learning guided analysis and rapid design of a 3D-printed bio-inspired structure for energy absorption 机器学习指导分析和快速设计用于能量吸收的 3D 打印生物启发结构
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-08 DOI: 10.1016/j.advengsoft.2024.103714
Feng Zhu , Kael Kinney , Wenye He , Zhiqing Cheng

Mantis shrimps employ their telson, or tail plate, to mitigate the impact with hard surfaces, thanks to its unique double-sine shaped microstructures that absorb energy through deformation. Inspired by this natural impact-resistant design, similar lightweight energy absorbers have been developed for applications in transportation systems and personal protective equipment. This study presents a data-driven approach to analyze and optimize these structures subjected to crushing loads. The structure's geometry is defined by three simple parameters based on a sine wave shape function and fabricated using ABS-M30 polymer through 3D printing. Material tests and compression tests under uniaxial loading conditions are conducted to characterize the material properties and structural behavior. Finite element models are created to simulate these tests, and Machine Learning techniques are applied to study the structure's behavior. A total of 100 Design of Computer Experiments are generated by manipulating the design variables, and the Decision Tree method categorizes deformation modes. Intrinsic and response parameters are predicted as functions of the geometric parameters. Using these relationships, a multi-objective optimal design is achieved, enhancing specific energy absorption while reducing peak crush force. The Pareto Front, representing optimal designs for these objectives, is obtained through genetic algorithms. A multi-criteria decision-making algorithm factors in designer preferences to narrow down the optimal design dataset. This study highlights the potential of bio-inspired structures and design methodologies for innovative lightweight protective equipment in transportation systems and human wearables.

螳螂虾的尾鳍或尾板具有独特的双正弦曲线形微结构,可通过变形吸收能量,从而减轻对坚硬表面的冲击。受这种天然抗冲击设计的启发,人们开发了类似的轻质能量吸收器,用于运输系统和个人防护设备。本研究提出了一种数据驱动方法,用于分析和优化这些承受挤压载荷的结构。结构的几何形状由三个基于正弦波形状函数的简单参数定义,并使用 ABS-M30 聚合物通过 3D 打印制作而成。在单轴加载条件下进行材料测试和压缩测试,以确定材料特性和结构行为。创建有限元模型来模拟这些测试,并应用机器学习技术来研究结构行为。通过操纵设计变量,总共生成了 100 个计算机实验设计,并采用决策树方法对变形模式进行分类。本征参数和响应参数作为几何参数的函数进行预测。利用这些关系,可实现多目标优化设计,在增强比能量吸收的同时降低峰值挤压力。通过遗传算法获得帕累托前沿,代表这些目标的最优设计。多标准决策算法考虑了设计者的偏好,从而缩小了最佳设计数据集的范围。这项研究强调了生物启发结构和设计方法在运输系统和人体可穿戴设备的创新轻型防护设备方面的潜力。
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引用次数: 0
Physics-informed neural network for nonlinear analysis of cable net structures 用于索网结构非线性分析的物理信息神经网络
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-08 DOI: 10.1016/j.advengsoft.2024.103717
Dai D. Mai , Tri Diep Bao , Thanh-Danh Lam , Hau T. Mai

In this study, a Physics-Informed Neural Network (PINN) framework is extended and applied to predict the geometrically nonlinear responses of pretensioned cable net structures without utilizing any incremental-iterative algorithms as well as Finite Element Analyses (FEAs). Instead of solving nonlinear equations as in existing numerical models, the core idea behind this approach is to employ a Neural Network (NN) that minimizes a loss function. This loss function is designed to guide the learning process of the network based on Total Potential Energy (TPE), pretension forces, and Boundary Conditions (BCs). The NN itself models the displacements given the corresponding coordinates of joints as input data, with trainable parameters including weights and biases that are regarded as design variables. Within this computational framework, these parameters are automatically adjusted through the training process to get the minimum loss function. Once the learning is complete, the nonlinear responses of cable net structures can be easily and quickly obtained. A series of numerical examples is investigated to demonstrate the effectiveness and applicability of the PINN for the geometrically nonlinear analysis of cable net structures. The obtained results indicate that the PINN framework is remarkably simple to use, robust, and yields higher accuracy.

本研究对物理信息神经网络(PINN)框架进行了扩展和应用,以预测预拉索网结构的几何非线性响应,而无需使用任何增量迭代算法和有限元分析(FEA)。这种方法的核心思想是采用神经网络 (NN),将损失函数最小化,而不是像现有数值模型那样求解非线性方程。该损失函数旨在根据总势能 (TPE)、预拉力和边界条件 (BC) 来指导网络的学习过程。NN 本身以相应的关节坐标作为输入数据,对位移进行建模,其可训练参数包括权重和偏置,这些参数被视为设计变量。在此计算框架内,这些参数会在训练过程中自动调整,以获得最小损失函数。一旦学习完成,就可以方便快捷地获得索网结构的非线性响应。为了证明 PINN 在索网结构几何非线性分析中的有效性和适用性,我们研究了一系列数值示例。结果表明,PINN 框架使用起来非常简单、稳健,并能获得更高的精度。
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引用次数: 0
Enhancements in image quality and block detection performance for Reinforced Soil-Retaining Walls under various illuminance conditions 在各种光照条件下提高加固挡土墙的图像质量和块体检测性能
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-04 DOI: 10.1016/j.advengsoft.2024.103713
Yong-Soo Ha , Myounghak Oh , Minh-Vuong Pham , Ji-Sung Lee , Yun-Tae Kim

To ensure continuous monitoring of reinforced soil-retaining walls (RSWs) even under low-illuminance conditions, such as during the night, it is imperative to evaluate the performance of deep learning-based detection. In this study, we constructed a laboratory RSW model and generated a dataset with varying illuminance levels to assess the impact of image enhancement and block detection. Various image enhancement methods were applied to improve image quality and evaluate their effect on deep learning. RGB optimization (RO) was proposed to optimize RGB intensity and compared with gamma correction, histogram equalization, and low-light image enhancement with illumination map estimation. RO demonstrated outstanding image enhancement performance, as evidenced by lightness order error, peak signal-to-noise ratio, and structural similarity index measure, ensuring high image quality. The trained RO model using Mask R-CNN exhibited excellent accuracy, recall, and F1 score, delivering remarkable detection performance under low illuminance conditions, resulting in a 7.44 % improvement in the F1 score. Image enhancement techniques that maintain similarity, such as lightness order error and structural similarity, across varying illuminance conditions contribute to enhancing the block detection performance of Mask R-CNNs.

为了确保即使在夜间等低照度条件下也能持续监测加固固土墙(RSW),评估基于深度学习的检测性能势在必行。在本研究中,我们构建了一个实验室 RSW 模型,并生成了一个具有不同照度水平的数据集,以评估图像增强和块体检测的影响。我们采用了多种图像增强方法来提高图像质量,并评估它们对深度学习的影响。RGB 优化(RO)被提出来优化 RGB 强度,并与伽玛校正、直方图均衡化和利用照度图估计的低照度图像增强进行了比较。从亮度阶次误差、峰值信噪比和结构相似性指数度量来看,RGB 优化表现出了出色的图像增强性能,确保了图像的高质量。使用 Mask R-CNN 训练的 RO 模型表现出出色的准确率、召回率和 F1 分数,在低照度条件下具有出色的检测性能,使 F1 分数提高了 7.44%。在不同照度条件下保持相似性(如亮度顺序误差和结构相似性)的图像增强技术有助于提高掩膜 R-CNN 的区块检测性能。
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引用次数: 0
The path-engulfment method for topology optimization of structures 结构拓扑优化的路径吞噬法
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-04 DOI: 10.1016/j.advengsoft.2024.103715
Jiahui Lin , Yue Zhou , Shuo Han , Yanjun Li , Zonglai Mo , Jun Li

To address the challenge of establishing and solving mathematical models for engineering structural optimization, a new topological optimization method that integrates load-transfer path theory with the engulfment algorithm is presented in this paper. The presented method applies the load-transfer path theory to identify the main load-bearing areas of the structure and utilizes the principle of concentrating more materials in relatively high-stress regions and fewer materials in relatively low-stress regions. An engulfment algorithm is introduced to optimize the material distribution. A comparative analysis between the presented and variable-density methods revealed that the path-engulfment method enhances the structural stiffness and strength while reducing its mass, confirming its precision and efficacy in structural optimization. The path-engulfment method was implemented on a truck crane frame, resulting in an optimized structure with increased stiffness and strength and reduced mass compared to the original design. Furthermore, this method eliminates the need for establishing and solving complex mathematical models while addressing issues related to checkerboards and gray-scale elements. A smooth boundary approach was introduced by leveraging the engulfment algorithm, enabling the direct application of the optimized structure for manufacturing purposes, particularly in engineering applications.

为解决建立和求解工程结构优化数学模型的难题,本文提出了一种将荷载传递路径理论与吞噬算法相结合的新型拓扑优化方法。该方法应用荷载传递路径理论来确定结构的主要承载区域,并利用在相对高应力区域集中更多材料、在相对低应力区域集中更少材料的原则。此外,还引入了一种吞噬算法来优化材料分布。对所提出的方法和变密度方法进行比较分析后发现,路径吞噬法在降低质量的同时提高了结构的刚度和强度,证实了其在结构优化中的精确性和有效性。通过在汽车起重机框架上实施路径充填法,优化后的结构与最初的设计相比,刚度和强度都有所提高,质量也有所减轻。此外,该方法无需建立和求解复杂的数学模型,同时解决了与棋盘格和灰度元素相关的问题。通过利用吞噬算法,引入了平滑边界方法,使优化结构能够直接用于制造目的,特别是工程应用。
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引用次数: 0
The crashworthiness prediction and deformation constraint optimization of shrink energy-absorbing structures based on deep learning architecture 基于深度学习架构的收缩吸能结构的耐撞性预测与变形约束优化
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-04 DOI: 10.1016/j.advengsoft.2024.103719
Jiaxing He , Ping Xu , Jie Xing , Shuguang Yao , Bo Wang , Xin Zheng

The deformation behavior of shrink energy-absorbing structures is influenced by numerous factors, and improper matching of parameters in the design process can easily lead to buckling instability, or even failure to absorb energy. Existing research methods can only obtain descriptive laws on how structural parameters affect deformation modes, but cannot determine the parameter domain for stable shrink mode, leading to poor prediction and optimization effects. For this purpose, a crashworthiness prediction framework based on deformation image generation and classification network (DIGCNet) was proposed to accurately predict the mean crushing force (MCF) and specific energy absorption (SEA) in the shrink mode domain. An image generator and a classification network were used to establish mapping relationships from structural parameters to deformation modes. The effects of the DIGCNet hyperparameters on prediction accuracy were analyzed. Subsequently, the shrink energy-absorbing structure was optimized under deformation constraint, and compared to the unconstrainted solution. The results show that the DIGCNet can eliminate abnormal deformations and achieve the structural optimization under the parameter domain of the shrink mode.

收缩吸能结构的变形行为受众多因素影响,设计过程中参数匹配不当容易导致屈曲失稳,甚至吸能失效。现有的研究方法只能获得结构参数对变形模式影响的描述性规律,无法确定稳定收缩模式的参数域,导致预测和优化效果不佳。为此,提出了一种基于变形图像生成和分类网络(DIGCNet)的耐撞性预测框架,以准确预测收缩模式域的平均压溃力(MCF)和比能量吸收(SEA)。利用图像生成器和分类网络建立了从结构参数到变形模式的映射关系。分析了 DIGCNet 超参数对预测精度的影响。随后,在变形约束条件下对收缩吸能结构进行了优化,并与非约束条件下的解决方案进行了比较。结果表明,DIGCNet 可以消除异常变形,实现收缩模式参数域下的结构优化。
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引用次数: 0
A machine learning approach for identifying vertical temperature gradient in steel-concrete composite beam under solar radiation 太阳辐射下识别钢-混凝土复合梁垂直温度梯度的机器学习方法
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-02 DOI: 10.1016/j.advengsoft.2024.103695
Yonghao Chu , Yuping Zhang , Siyang Li , Yugang Ma , Shengjiang Yang

The traditional research methods for the temperature field of bridge under solar radiation suffer from issues such as high workload and high costs. The temperature field of steel-concrete composite beam (SCCB) is studied in this paper using the ANSYS finite element software and MATLAB software. Firstly, a finite element temperature field model of SCCB is established based on measured meteorological data. Furthermore, the accuracy of the finite element temperature field model of SCCB is validated by collecting a small amount of temperature measurement data. The temperature sample database of SCCB was expanded based on this. Finally, a large amount of historical meteorological data was collected. The ANSYS software and Genetic Algorithm Back Propagation (GA-BP) hybrid model were used for calculation, and the representative temperature differences Td1 and Td2 of SCCB were obtained separately. The measured values are in good agreement with the finite element analysis results, showing consistent trends over time with a maximum difference not exceeding 1.6 °C. The GA-BP hybrid model proposed in this study, characterized by ‘structural features, temporal features, environmental features—node temperatures’, exhibits a high degree of nonlinear mapping capability. It has been demonstrated that the GA-BP hybrid model also possesses a high level of accuracy through verification. The SCCBs’ maximum vertical positive temperature differences (Tv), computed using ANSYS software and the GA-BP hybrid model, follow Generalized Extreme Value (GEV) distributions with parameters (-0.2722, 12.8715, 1.4105) and (-0.2855, 12.813, 1.3714), respectively. The representative values (Td) of the maximum vertical positive temperature differences of SCCB, calculated by ANSYS software and the GA-BP hybrid model, are 17.613 °C (Td1) and 17.2 °C (Td2), respectively. The proposed temperature field calculation model for SCCB is based on meteorological parameters and the GA-BP hybrid model. It can accurately calculate the temperature field of SCCB in Guangdong region and improve computational efficiency.

传统的太阳辐射下桥梁温度场研究方法存在工作量大、成本高等问题。本文利用 ANSYS 有限元软件和 MATLAB 软件对钢-混凝土组合梁(SCCB)的温度场进行了研究。首先,根据实测气象数据建立了 SCCB 的有限元温度场模型。此外,通过收集少量温度测量数据,验证了 SCCB 有限元温度场模型的准确性。在此基础上,扩充了 SCCB 的温度样本数据库。最后,还收集了大量历史气象数据。采用 ANSYS 软件和遗传算法反向传播(GA-BP)混合模型进行计算,分别得到了 SCCB 的代表性温差 Td1 和 Td2。测量值与有限元分析结果十分吻合,随时间变化趋势一致,最大温差不超过 1.6 °C。本研究提出的 GA-BP 混合模型以 "结构特征、时间特征、环境特征-节点温度 "为特征,具有高度的非线性映射能力。通过验证证明,GA-BP 混合模型也具有很高的准确性。使用 ANSYS 软件和 GA-BP 混合模型计算的 SCCB 垂直最大正温差(Tv)遵循广义极值(GEV)分布,参数分别为(-0.2722, 12.8715, 1.4105)和(-0.2855, 12.813, 1.3714)。ANSYS 软件和 GA-BP 混合模型计算出的 SCCB 最大垂直正温差的代表值(Td)分别为 17.613 ℃(Td1)和 17.2 ℃(Td2)。所提出的 SCCB 温度场计算模型基于气象参数和 GA-BP 混合模型。它能准确计算广东地区的 SCCB 温度场,提高计算效率。
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引用次数: 0
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