Advances in Engineering Software最新文献_第2页

An optimized single-log explicit Colebrook correlation with computational cost analysis 优化单对数显式Colebrook相关性与计算成本分析

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2026-01-22 DOI: 10.1016/j.advengsoft.2026.104104

N. Abdul Settar, S.S. Mirsa Hussain

The Darcy friction factor (f) is essential for modelling momentum and energy losses in turbulent internal pipe flow and is widely used in engineering simulation software. The Colebrook equation provides high accuracy but is implicit and requires iterative evaluation, limiting computational efficiency in large-scale or real-time analyses. Although numerous explicit correlations have been proposed, many rely on multi-logarithmic or high-order expressions that increase computational cost without proportional gains in accuracy. This study develops an optimized single-log explicit formulation of the Colebrook equation using nonlinear least-squares fitting over 4 × 10³ ≤ Re ≤ 1 × 10⁸ and 0 ≤ ε/D ≤ 0.05. The model shows excellent agreement with the Colebrook reference, achieving a mean relative error of 0.2591 % and a mean absolute error of 6.2 × 10^–5. To quantify execution effort, a Computational Cost Index (CCI) is introduced, enabling objective comparison of algorithmic complexity among explicit formulations. A Pareto-front analysis of 22 correlations demonstrates that the proposed model offers one of the best accuracy–cost trade-offs. The formulation is suitable for integration into engineering software, network solvers, and large-scale computational studies involving turbulent internal flows. The approach also provides a generalizable framework for developing compact, efficient explicit models as alternatives to multi-logarithmic or iterative schemes.

Darcy摩擦因数(f)是模拟管内湍流动量和能量损失的关键，被广泛应用于工程仿真软件中。Colebrook方程提供了很高的精度，但它是隐式的，需要迭代评估，限制了大规模或实时分析的计算效率。虽然已经提出了许多显式关联，但许多依赖于多对数或高阶表达式，这些表达式会增加计算成本，而精度却没有成比例的提高。在4 × 103≤Re≤1 × 108且0≤ε/D≤0.05条件下，利用非线性最小二乘拟合，建立了Colebrook方程的优化单对数显式公式。该模型与Colebrook参考文献具有较好的一致性，平均相对误差为0.2591%，平均绝对误差为6.2 × 10-5。为了量化执行工作量，引入了计算成本指数（CCI），使显式公式之间的算法复杂性能够进行客观比较。对22个相关性的Pareto-front分析表明，所提出的模型提供了最好的准确性-成本权衡之一。该公式适合集成到工程软件、网络求解器和涉及湍流内部流动的大规模计算研究中。该方法还提供了一个可推广的框架，用于开发紧凑、高效的显式模型，作为多对数或迭代方案的替代方案。

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引用次数: 0

Micro-mechanical behavior of cement-stabilized sand under static and cyclic triaxial condition based on Discrete Element Method 基于离散元法的静、循环三轴条件下水泥稳定砂细观力学行为

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2026-01-20 DOI: 10.1016/j.advengsoft.2026.104103

Juan Du , Yihang Zhang , Gang Zheng , Tao Li , Ningjun Jiang , Haizuo Zhou

The micro-mechanical behavior at the bonded interface is crucial in determining the macroscopic strength of cement-stabilized sand. This study presents a comprehensive discrete element simulation model for cement-stabilized sand, which incorporates two types of particles, three types of contacts, and five types of load-bearing elements. Three key micro-parameters are derived from test data obtained from sand particles (SP), cementitious particles (CP) and cement-stabilized organic-matter-disseminated sand (OMDS) sourced from Hainan Island, thereby validating the reliability of the model through strain-stress relations and deformation characteristics. By simulating static and cyclic triaxial tests on cement-stabilized OMDS, this research investigates the evolution of bonded contact degradation, load-bearing capacity, stress contributions, and deviator fabric while clarifying the correlation between macro- and micro-mechanical behaviors. The results indicate that an increase in confining pressure accelerates occurrence of bonded contact degradation, as well as enhances responsiveness under cyclic loading compared to static loading. The degradation ratio of C-C (CP-CP) contacts is observed to be faster than that of S-C (SP-CP) contacts at a specific confining pressure. Under static loading conditions, the contributions from all three types of contact to overall strength remain constant. A significant linear relationship has been identified between the deviator fabric of S-S contacts and the generalized shear stress ratio. Additionally, it has been observed that the early macro-strength of cement-stabilized OMDS is closely associated with the anisotropy inherent within the S-S skeleton.

粘结界面的微观力学行为是决定水泥稳定砂宏观强度的关键。提出了一种综合的水泥稳定砂离散单元模拟模型，该模型包含两种颗粒、三种接触和五种承载单元。从海南岛砂粒（SP）、胶凝颗粒（CP）和水泥稳定有机质浸散砂（OMDS）的试验数据中得到3个关键微观参数，通过应变-应力关系和变形特征验证了模型的可靠性。通过模拟水泥稳定OMDS的静态和循环三轴试验，研究了黏结接触退化、承载能力、应力贡献和偏差结构的演变，同时阐明了宏观和微观力学行为之间的相关性。结果表明：与静加载相比，围压的增加加速了粘结接触退化的发生，提高了循环加载下的响应性；在一定围压下，C-C （CP-CP）触点的降解速率明显快于S-C （SP-CP）触点。在静态加载条件下，所有三种接触类型对总强度的贡献保持不变。发现了S-S接触偏差结构与广义剪应力比之间存在显著的线性关系。此外，已经观察到水泥稳定OMDS的早期宏观强度与S-S骨架内固有的各向异性密切相关。

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引用次数: 0

KT-MDO : a knowledge-template-driven multidisciplinary design optimization framework KT-MDO：知识模板驱动的多学科设计优化框架

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2026-01-19 DOI: 10.1016/j.advengsoft.2026.104105

Zhibin Sun , Liangyue Jia , Jia Hao , Zuoxuan Li , Ruofan Deng , Nan Wang

Multidisciplinary design optimization (MDO) typically employs surrogate models to alleviate the high computational cost of multidisciplinary simulations. However, under data-scarce engineering conditions, purely data-driven surrogates often suffer from accuracy degradation. Although knowledge–data fusion can mitigate this problem, existing MDO frameworks lack a unified mechanism for knowledge management and on-demand invocation. Domain knowledge is usually hard-coded in a static form within individual discipline modules, when design requirements change frequently, this rigid integration cannot accommodate dynamic reconfiguration of the optimization workflow, thereby constraining both design efficiency and system scalability. To address this issue, this paper proposes a Knowledge-Template-Driven Multidisciplinary Design Optimization framework (KT-MDO). First, domain knowledge is categorized into four types, attribute, monotonicity, shape, and formula, and a systematized representation is established for each type. Then, two types of knowledge templates are constructed: one for automatically formulating MDO problem models, and the other for automatically generating the corresponding code, enabling dynamic adaptation to diverse design requirements. In two representative lightweight design scenarios of an automotive body-in-white, KT-MDO achieves optimization performance comparable to baseline methods while reducing manual model configuration workload by approximately 54%. It also enables rapid adaptation across different scenarios with minimal additional cost, thereby significantly improving the efficiency and practicality of MDO.

多学科设计优化（MDO）通常采用代理模型来缓解多学科仿真的高计算成本。然而，在数据稀缺的工程条件下，纯数据驱动的替代算法往往存在精度下降的问题。虽然知识数据融合可以缓解这一问题，但现有的MDO框架缺乏统一的知识管理和按需调用机制。领域知识通常在单个学科模块中以静态形式硬编码，当设计需求频繁更改时，这种刚性集成不能适应优化工作流的动态重新配置，从而限制了设计效率和系统可伸缩性。为了解决这一问题，本文提出了一个知识模板驱动的多学科设计优化框架（KT-MDO）。首先，将领域知识分为属性、单调性、形状和公式四种类型，并对每种类型建立了系统化的表示。在此基础上，构建了两类知识模板：一种用于自动制定MDO问题模型，另一种用于自动生成相应的代码，能够动态适应不同的设计需求。在两个代表性的白车身轻量化设计场景中，KT-MDO实现了与基线方法相当的优化性能，同时将手动模型配置工作量减少了约54%。它还能够以最小的额外成本快速适应不同的场景，从而显著提高MDO的效率和实用性。

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引用次数: 0

An efficient and robust parallel strategy for Cartesian grid generation on complex geometries 复杂几何上笛卡尔网格生成的一种高效鲁棒并行策略

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2026-01-13 DOI: 10.1016/j.advengsoft.2026.104102

Siqi Yin , Jiang Liu , Haidong Wang , Feiqi Wang , Yumin Huang , Xiangyang Cui , Yong Cai

Generating high-quality Cartesian grids for complex geometries remains a significant performance bottleneck in computational engineering. This paper presents a novel parallel framework to address this challenge, centered on the synergistic integration of two key innovations: (1) a distance-based adaptive strategy that, through its inherent smoothness, obviates the need for explicit grid balancing steps; and (2) a high-throughput subdivision and classification algorithm built upon a Linear Bounding Volume Hierarchy (LBVH) and an efficient parallel Union-Find algorithm. The entire workflow is efficiently parallelized using Threading Building Blocks (TBB). Evaluated on a 16-core desktop workstation, the framework demonstrates exceptional performance. The parallel subdivision engine achieves a throughput exceeding one million cells per second, while the interior/exterior classification process reaches ten million cells per second. In conclusion, the proposed method exhibits robust scalability and efficiency, paving the way for ultra-large-scale mesh generation and dynamic geometric reconstruction on commodity multi-core architectures.

为复杂几何图形生成高质量的笛卡尔网格仍然是计算工程中一个重要的性能瓶颈。本文提出了一个新的并行框架来解决这一挑战，其核心是两个关键创新的协同整合：(1)基于距离的自适应策略，通过其固有的平滑性，避免了明确的网格平衡步骤的需要；(2)基于线性边界体层次（LBVH）和高效并行Union-Find算法的高吞吐量细分分类算法。使用线程构建块（TBB）有效地并行化整个工作流。在16核桌面工作站上进行评估，该框架表现出卓越的性能。并行细分引擎实现了每秒超过100万个单元的吞吐量，而内部/外部分类过程达到每秒1000万个单元。综上所述，该方法具有良好的可扩展性和效率，为商品多核架构上的超大规模网格生成和动态几何重构铺平了道路。

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引用次数: 0

Prediction models of deflection and damage reliability for laterally impacted CFST based on data-driven technology 基于数据驱动技术的横向冲击钢管混凝土挠度和损伤可靠性预测模型

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2026-01-05 DOI: 10.1016/j.advengsoft.2025.104094

Nan Xu, Yanhui Liu, Hongjin Chen, Ming Gao

Concrete filled steel tube (CFST) columns are vulnerable to lateral impact from automobiles, ships and derailed trains as global transportation rapidly expands. The theoretical research about impact response is challenging as it involves a series of physical phenomena. This research aims to establish simplified mathematic model to evaluate CFST deflection and damage reliability through machine learning techniques, where input features contain 11 variables. 410 impact specimens were gathered and they were divided at 8:2 ratio for model training and testing. Nine hybrid algorithms were created, IGWO (Improved Grey Wolf Optimizer)-Ann (artificial neural networks) performed the best deflection prediction with correlation coefficient of 0.90. The simplified model of deflection was established, and its computational efficiency is substantially superior to theoretical methods. The credibility of IGWO-Ann was verified by Shapley Additive exPlanations analysis. Furthermore, the explicit equations of damage probability and damage reliability were proposed. Sensitivity analysis indicated that section outer diameter and steel strength influence dramatically damage probability. Finally, an impact-resistant procedure was suggested, which provides an efficient, user-friendly and precise method for structural engineers.

随着全球交通运输的迅速扩张，钢管混凝土（CFST）柱容易受到汽车、船舶和出轨列车的横向冲击。由于冲击响应涉及一系列物理现象，其理论研究具有一定的挑战性。本研究旨在通过机器学习技术建立CFST挠度和损伤可靠性评估的简化数学模型，其中输入特征包含11个变量。收集410个冲击试件，按8:2的比例进行模型训练和试验。建立了9种混合算法，其中IGWO (Improved Grey Wolf Optimizer)-Ann （artificial neural networks）的偏转预测效果最好，相关系数为0.90。建立了挠度的简化模型，其计算效率大大优于理论方法。通过Shapley加性解释分析验证了IGWO-Ann的可信度。在此基础上，建立了损伤概率和损伤可靠度的显式方程。敏感性分析表明，截面外径和钢强度对损伤概率影响较大。最后，提出了一种抗冲击程序，为结构工程师提供了一种高效、方便和精确的方法。

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引用次数: 0

Meshfree-based prediction for external acoustic radiation of laminated composite doubly-curved revolution shells 基于网格自由的层合复合材料双弯曲旋转壳外声辐射预测

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2025-12-27 DOI: 10.1016/j.advengsoft.2025.104089

Shuangwei Hu , Qingshan Wang , Zhen Li

Doubly-curved shells are critical components in submarine bow hulls and unmanned underwater vehicles (UUVs). This study investigates their acoustic stealth performance—characterized by sound pressure level (SPL) and sound power level (SWL)—under external excitation in fluid environments. Based on the FSDT (first-order shear deformation theory), we establish coupled vibro-acoustic equations and employ the Kirchhoff-Helmholtz integral with CHIEF points to resolve non-uniqueness issues. A meshfree-Fourier spectral technique discretizes structural-acoustic variables, achieving high-fidelity predictions validated against FEM/BEM and literature. Parametric studies further quantify how geometry, material properties, excitation types, and boundary conditions affect acoustic responses, providing key insights for stealth-oriented shell design. The research results indicate: Frequency-amplitude reduction with increasing shape parameters, as structural softening lowers natural frequencies. Linear amplitude scaling with excitation force, leaving resonant frequencies unchanged in the linear regime. Fluid-dependent directivity, showing asymmetric patterns in light fluid and uniform distribution in heavy fluid.

双弯曲壳体是潜艇艏壳和无人潜航器的关键部件。在流体环境中，以声压级（SPL）和声功率级（SWL）为表征指标，研究了它们在外界激励下的声隐身性能。基于FSDT（一阶剪切变形理论），建立了振动-声学耦合方程，并采用带CHIEF点的Kirchhoff-Helmholtz积分来解决非唯一性问题。网格-傅里叶光谱技术离散结构-声学变量，实现高保真预测，验证了FEM/BEM和文献。参数化研究进一步量化几何形状、材料特性、激励类型和边界条件如何影响声学响应，为隐身型壳体设计提供关键见解。研究结果表明：随着结构软化降低固有频率，随着形状参数的增加，频率幅度减小；线性振幅与激励力成比例，使共振频率在线性范围内不变。与流体相关的指向性，在轻流体中表现为不对称模式，在重流体中表现为均匀分布。

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引用次数: 0

A physics-informed neural network and singular value decomposition framework for actuator placement optimization in cable dome 一种基于物理信息的神经网络和奇异值分解框架用于索穹顶作动器位置优化

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2025-12-27 DOI: 10.1016/j.advengsoft.2025.104092

Jin Wang , Mingliang Zhu , Jiahao Cao , Jiamin Guo , Zhiwei Miao

The cable dome is widely recognized for its lightweight, structural efficiency, and ease of length adjustment for active displacement control. However, achieving effective active control critically depends on the optimal placement of actuators. This paper proposes a physics-informed neural network (PINN) and singular value decomposition (SVD) framework to optimize actuator placement. Specifically, we introduce a PINN-based loss function that simultaneously incorporates structural control accuracy and essential physical constraints, enhancing the optimization efficiency and accuracy. The use of SVD within the PINN framework systematically extracts dominant sensitivity directions from the structural response sensitivity matrix, significantly reducing computational complexity and improving predictive capability. The approach is validated through numerical studies involving four different cable dome configurations. Results demonstrate that the developed method achieves substantial reductions (over 85 %) in structural displacement, while requiring actuators on only 5–10 % of structural elements. The proposed method provides a practical, efficient, and reliable solution for actuator placement, addressing a critical engineering challenge in active control of cable domes.

索穹顶结构因其重量轻、结构效率高、便于主动位移控制的长度调节而得到广泛认可。然而，实现有效的主动控制关键取决于执行器的最佳位置。本文提出了一种基于物理信息的神经网络（PINN）和奇异值分解（SVD）框架来优化执行器的位置。具体来说，我们引入了一个基于pup的损失函数，它同时结合了结构控制精度和基本物理约束，提高了优化效率和精度。在PINN框架内使用奇异值分解系统地从结构响应灵敏度矩阵中提取优势灵敏度方向，显著降低了计算复杂度，提高了预测能力。通过四种不同的电缆穹顶结构的数值研究验证了该方法的有效性。结果表明，所开发的方法实现了结构位移的大幅减少（超过85%），而只需要在5 - 10%的结构单元上使用致动器。所提出的方法为执行器的放置提供了一种实用、高效、可靠的解决方案，解决了电缆穹顶主动控制中的关键工程挑战。

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引用次数: 0

An adaptive isogeometric analysis framework for two-dimensional steady-state unconfined seepage problems 二维稳态无侧限渗流问题的自适应等几何分析框架

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2025-12-24 DOI: 10.1016/j.advengsoft.2025.104093

Chen Wu , Lin Wang , Tiantang Yu , Sundararajan Natarajan

In addressing seepage problems with free surfaces, conventional moving mesh methods often encounter numerical instability due to mesh distortion, whereas fixed mesh approaches typically fail to deliver high-accuracy solutions with controllable computational cost. To overcome these limitations, this study develops an adaptive isogeometric analysis framework for two-dimensional steady-state unconfined seepage, aiming to achieve efficient and stable numerical solutions. Combining the local refinement capability of truncated hierarchical NURBS with the permeability adjustment strategy, the proposed framework is shown to capture the free surface accurately while avoiding mesh reconstruction required by traditional methods. By introducing an adaptive criterion based on a posteriori error estimator, the system can intelligently identify and refine key regions near the free surface during the iteration process, significantly improving computational efficiency without compromising accuracy. Numerical results demonstrate that the proposed method exhibits excellent robustness under conditions with different seepage properties, and shows exceptionally good agreement with reference solutions. This method also provides a reliable foundation for subsequent multi-physics coupling analysis and seepage simulation in complex engineering scenarios.

在求解自由表面渗流问题时，传统的移动网格方法往往由于网格变形而导致数值不稳定，而固定网格方法通常无法提供计算成本可控的高精度解决方案。为了克服这些局限性，本研究开发了二维稳态无侧限渗流的自适应等几何分析框架，旨在获得高效稳定的数值解。将截断分层NURBS的局部细化能力与渗透率调整策略相结合，该框架能够准确地捕获自由表面，同时避免了传统方法所需要的网格重建。通过引入基于后验误差估计的自适应准则，系统可以在迭代过程中智能识别和细化自由曲面附近的关键区域，在不影响精度的前提下显著提高计算效率。数值结果表明，该方法在不同渗流特性条件下均具有较好的鲁棒性，且与参考解具有较好的一致性。该方法也为后续复杂工程场景下的多物理场耦合分析和渗流模拟提供了可靠的基础。

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引用次数: 0

Development and testing of a new pore network algorithm for modeling flows of power law fluids in porous media 模拟幂律流体在多孔介质中的流动的一种新的孔隙网络算法的开发和测试

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2025-12-22 DOI: 10.1016/j.advengsoft.2025.104091

S.A. Filimonov , A.I. Pryazhnikov , D.V. Guzei , A.V. Minakov

The paper presents the results of the development of an original mathematical model and a numerical algorithm for pore network modeling of non-Newtonian flows of power law fluids in microchannel media. The pore network model is based on an original method of connecting one-dimensional and three-dimensional CFD solvers into a conjugated hydrodynamic model with a common pressure field. The non-Newtonian properties of a liquid are taken into account in a pore network model by setting a generalized resistance coefficient. An original microfluidic chips simulating fractured and porous rock were created to test the developed numerical method of pore network modeling of non-Newtonian flows. The flow of polymer solutions in a microfluidic chip has been studied experimentally. Testing has shown that the pore network algorithm for the case of a non-Newtonian (power law) flow in a single circular tube coincides with the analytical solution with an error below 0.01 %. The average uncertainty in determining the pressure drop in a microfluidic chip by the proposed algorithm over a wide range of fluid flow rates and their rheological characteristics does not exceed 10 %. At the same time, the computational efficiency of the pore network model is demonstrated to be 180 times of magnitude higher than that of the CFD model for a fractured microchip model and to be 720 times for a porous microchip model, all other things being equal and with close accuracy compared to the experiment.

本文介绍了微通道介质中幂律流体非牛顿流动的原始数学模型和数值算法的发展结果。孔隙网络模型是基于将一维和三维CFD求解器连接成具有共同压力场的共轭水动力模型的原始方法。在孔隙网络模型中，通过设置广义阻力系数来考虑液体的非牛顿性质。为验证所建立的非牛顿流体孔隙网络数值模拟方法，制作了模拟裂隙多孔岩石的原始微流控芯片。对聚合物溶液在微流控芯片中的流动进行了实验研究。实验表明，单圆管内非牛顿（幂律）流的孔网络算法与解析解吻合，误差小于0.01%。在较宽的流体流速和流变特性范围内，用该算法确定微流控芯片压降的平均不确定度不超过10%。同时，在其他条件相同的情况下，孔隙网络模型的计算效率比裂缝型微芯片模型的计算效率高180倍，比多孔型微芯片模型的计算效率高720倍。

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引用次数: 0

A fast crashworthiness assessment framework: Sectional force-based multi-stage physics informed surrogate model 一个快速耐撞性评估框架：基于截面力的多级物理模型

IF 5.7 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2025-12-19 DOI: 10.1016/j.advengsoft.2025.104090

Jie You , Yonghong Zhao , Liangyue Jia , Nan Wang , Zhibin Sun , Wenkai Zou , Yu Hu , Liang Liu , Chuanyang Zhang

Finite-element analysis (FEA) is the benchmark for crashworthiness evaluation, yet its prohibitive computational cost and labour-intensive re-meshing make it unsuitable for iterative structural optimization. Although surrogate models offer partial relief, they still demand large simulation datasets and frequent mesh updates. Focusing on the vehicle front crash condition, proposing a Sectional Force-Based Multi-Stage Physics Informed Surrogate Model (SFB-MSPISM) that integrates sectional force features with semi-empirical physical priors (i.e., the Gérard buckling formula) in a two-stage architecture, thereby reducing the training data requirement and virtually eliminating manual re-meshing. In Stage-1, a Physics-Informed XGBoost-CNN-Transformer ensemble (PI-XCT) is proposed to predict the peak sectional force and energy absorption of five key beams; In Stage-2, a multi-output XGBoost regressor is proposed to estimate the maximum crash acceleration and the Toe-board intrusion. Trained on fewer than 130 high-fidelity simulations (100 data for Stage-1 and 26 data for Stage-2), SFB-MSPISM attains a coefficient of determination of 0.97 for peak deceleration and a mean intrusion error of 2.525 mm (≤5 %), while reducing per-design evaluation time from 6.5 h to 0.038 s. These results show a speed-up exceeding five orders of magnitude and virtually eliminate human intervention, thereby enabling millisecond-scale, physically consistent crashworthiness assessment for rapid design exploration.

有限元分析（FEA）是耐撞性评估的基准，但其高昂的计算成本和劳动密集型的重新网格划分使其不适合迭代结构优化。虽然代理模型提供了部分缓解，但它们仍然需要大量的模拟数据集和频繁的网格更新。针对汽车前碰撞工况，提出了一种基于分段力的多级物理信息代理模型（sbf - mspism），该模型将分段力特征与半经验物理先验（即gsamrard屈曲公式）集成在两级结构中，从而减少了对训练数据的需求，几乎消除了人工重新网格划分。在第一阶段，提出了一个基于物理信息的XGBoost-CNN-Transformer集成（PI-XCT）来预测五个关键梁的峰值截面力和能量吸收；在第二阶段，提出了一个多输出的XGBoost回归器来估计最大碰撞加速度和脚趾板入侵。在不到130个高保真仿真（阶段1 100个数据，阶段2 26个数据）的训练下，SFB-MSPISM获得了峰值减速的决定系数0.97，平均入侵误差为2.525 mm(≤5%)，同时将每次设计评估时间从6.5小时减少到0.038秒。这些结果表明，加速速度超过了五个数量级，几乎消除了人为干预，从而实现了毫秒级、物理上一致的耐撞性评估，从而实现了快速设计探索。

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引用次数: 0