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Maximizing photovoltaic energy harvesting in electric vehicles: an adaptive control approach with NBO-ANFIS MPPT and DNN-based SoC estimation 电动汽车光伏能量收集最大化:NBO-ANFIS MPPT和基于dnn的SoC估计的自适应控制方法
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-16 DOI: 10.1007/s10999-026-10000-y
Jegan Chellakannu, Vijay Ravindran

The development of electric vehicles (EVs) has increased demand for advanced Energy Management Systems (EMS) that optimizes energy distribution, intelligently handles multiple power sources. One of the primary issues is the intermittent, unpredictable nature of renewable sources which leads to fluctuating power availability, makes real-time energy balancing difficult. Additionally, EMS must handle nonlinear system behavior, rapid load variations requiring fast, accurate control strategies. Hence, an AI-enhanced EV EMS that uses intelligent algorithms, adaptive control techniques is presented in this work. The proposed solution integrates a solar Photovoltaic (PV) array with voltage boosted using an innovative High Gain Coupled Inductor Extended Boost (HiG-CI-X Boost) Converter before being sent onto a common high-voltage bus powering the Brushless DC (BLDC) motor. In order to ensure high performance, energy flexibility, the architecture also incorporates battery, supercapacitor energy storage devices, which are interconnected via bidirectional DC-DC converters. Deep Neural Network (DNN)-based State of Charge (SoC) estimator is incorporated to predict the battery state. A three-phase Voltage Source Inverter (VSI) converts the DC bus voltage to AC in order topower BLDC motor. Accurate control over torque, speed is ensured by a feedback loop. MATLAB simulation results show that the AI-integrated EMS significantly increases energy efficiency, reduces the load on individual storage units, maximizes transient response. Moreover, the proposed converter results with 97.63% efficiency with 1.46% increase from existing topologies, with NBO-ANFIS MPPT algorithm foreshowing tracking efficiency of 99.85% with settling time at 0.14 s, respectively. The proposed MPPT achieves approximately 9–10% higher tracking efficiency reduces the settling time by nearly 78–80%.The proposed system is a viable option for intelligent, ecologically friendly electric mobility because of its exceptional scalability, robustness.

电动汽车(ev)的发展增加了对先进能源管理系统(EMS)的需求,该系统可以优化能源分配,智能地处理多个电源。其中一个主要问题是可再生能源的间歇性和不可预测性,导致电力供应波动,使实时能源平衡变得困难。此外,EMS必须处理非线性系统行为,快速负载变化需要快速,准确的控制策略。因此,本文提出了一种使用智能算法、自适应控制技术的人工智能增强型EV EMS。提出的解决方案集成了太阳能光伏(PV)阵列,使用创新的高增益耦合电感扩展升压(High - ci - x Boost)转换器进行升压,然后将其发送到普通高压总线上,为无刷直流(BLDC)电机供电。为了确保高性能和能源灵活性,该架构还集成了电池、超级电容器储能设备,这些设备通过双向DC-DC转换器相互连接。采用基于深度神经网络(DNN)的荷电状态(SoC)估计器对电池状态进行预测。三相电压源逆变器(VSI)将直流母线电压转换为交流电压,以便为无刷直流电机供电。通过反馈回路确保对扭矩、速度的精确控制。MATLAB仿真结果表明,人工智能集成的储能系统显著提高了能效,降低了单个存储单元的负荷,最大化了暂态响应。此外,所提出的转换器效率为97.63%,比现有拓扑提高了1.46%,NBO-ANFIS MPPT算法的跟踪效率为99.85%,沉降时间为0.14 s。所提出的MPPT的跟踪效率提高了约9-10%,沉降时间减少了近78-80%。由于其卓越的可扩展性和鲁棒性,所提出的系统是智能、生态友好型电动交通的可行选择。
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引用次数: 0
A two-parameter Mittag–Leffler fractional electron–phonon piezoelectric thermoelasticity for transient responses of multi-layer piezoelectric composites 多层压电复合材料瞬态响应的双参数Mittag-Leffler分数阶电子-声子压电热弹性
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-09 DOI: 10.1007/s10999-026-09992-4
Huili Guo, Yi Heng Wang, Fulin Shang

The rapid development of ultrafast heating technology in the processing and fabrication of multi-layered piezoelectric composites has triggered numerous studies on the constitutive modeling and transient impact response of multi-physics coupling behavior for vibration control and intelligent thermal management. To accurately predict dynamic thermo-electromechanical responses in such extreme short-duration thermal conditions, this work aims to establish a novel piezoelectric thermoelasticity model by incorporating the two-parameter Mittag–Leffler fractional derivative into electron–phonon dual-phase-lag heat conduction law and strain-rate constitutive equation. The developed model is applied to investigate the transient thermal impact responses of multi-layer piezoelectric composites with non-idealized interfaces. The governing equations are solved by Laplace transformation technique associated with FFT-based numerical inversion algorithm. Dimensionless results indicate that the two-parameter Mittag–Leffler fractional derivative and material constants ratios remarkably accelerate heat propagation speed, enhance electric potential generation and mitigate excessive temperature or deformation.

随着超快加热技术在多层压电复合材料加工制造中的快速发展,引发了针对振动控制和智能热管理的多物理场耦合行为的本构建模和瞬态冲击响应的大量研究。为了准确预测这种极端短时间热条件下的动态热机电响应,本工作旨在将双参数mittagi - leffler分数阶导数纳入电子-声子双相滞后热传导定律和应变率本构方程,建立一种新的压电热弹性模型。将所建立的模型应用于非理想界面多层压电复合材料的瞬态热冲击响应研究。利用拉普拉斯变换技术结合基于fft的数值反演算法求解控制方程。无因次化结果表明,双参数Mittag-Leffler分数导数和材料常数比显著加快了热传导速度,增强了电势的产生,减轻了温度过高或变形。
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引用次数: 0
GABP-enabled multi-objective intelligent structural optimization method for soft robotic manipulator 基于gabp的柔性机械臂多目标智能结构优化方法
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-08 DOI: 10.1007/s10999-026-09995-1
Rui Lin, Shuyou He, Haoxuan Sun, Xuesong Wu, Kangjia Fu, Qi Zhang, Sunquan Yu, Ming Xu, Xiang Zhang

Soft manipulators have gained increasing attention for their adaptability to unstructured environments, giving rise to various structural configurations. However, structural optimization typically requires case-specific parameter analysis, resulting in low optimization efficiency, while many designs still rely heavily on empirical parameter selection. This letter presents an intelligent structural optimization framework for soft manipulators. The key design parameters and performance indexes are first defined according to the considered manipulator to characterize its structural performance. A parametric finite element method (PFEM) is then used to generate performance datasets under varying parameter combinations. A genetic algorithm optimized backpropagation neural network (GABP) is subsequently trained to model the nonlinear parameter-performance relationships, forming the optimization objective function. Finally, a multi-objective particle swarm optimization (MOPSO) algorithm is applied to obtain the Pareto-optimal solutions from which optimal parameters are selected. The proposed optimization framework is validated through a case study of a cable-driven bellows soft manipulator. The GABP model accurately captures the complex mapping, achieving (R^2 > 0.998), and experiments further confirm the prediction accuracy with relative errors of 0.63% for stiffness k, 7.35% for bending stiffness EI, and 3.28% for natural frequency f. Structural optimization yields a 7.7% increase in relative compliance R, a 1.9% improvement in load capacity P, and a 34.8% increase in natural frequency f, demonstrating the effectiveness of the proposed optimization framework for enhancing the structural performance of the considered soft manipulator.

软机械臂因其对非结构化环境的适应性而受到越来越多的关注,从而产生了各种结构构型。然而,结构优化通常需要具体的参数分析,导致优化效率较低,而许多设计仍然严重依赖经验参数选择。本文提出了一种柔性机械臂智能结构优化框架。首先根据所考虑的机械臂确定关键的设计参数和性能指标,表征其结构性能。然后采用参数有限元法(PFEM)生成不同参数组合下的性能数据集。然后训练遗传算法优化后的反向传播神经网络(GABP)对非线性参数-性能关系进行建模,形成优化目标函数。最后,采用多目标粒子群优化算法(MOPSO)得到pareto最优解,并从中选择最优参数。最后,以钢丝绳驱动波纹管柔性机械臂为例,对所提出的优化框架进行了验证。GABP模型准确捕获了复杂映射,达到(R^2 > 0.998),实验进一步证实了预测精度,相对误差为0.63% for stiffness k, 7.35% for bending stiffness EI, and 3.28% for natural frequency f. Structural optimization yields a 7.7% increase in relative compliance R, a 1.9% improvement in load capacity P, and a 34.8% increase in natural frequency f, demonstrating the effectiveness of the proposed optimization framework for enhancing the structural performance of the considered soft manipulator.
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引用次数: 0
A Jacobi–Ritz method for viscoelastic foundation effects of functionally graded triply periodic minimal surface microbeams 功能梯度三周期最小表面微梁粘弹性地基效应的Jacobi-Ritz方法
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-06 DOI: 10.1007/s10999-026-09990-6
Ngoc-Duong Nguyen

This study introduces a Jacobi–Ritz method to analyze the buckling, bending, free vibration, and damped vibration behaviors of functionally graded triply periodic minimal surface (FG-TPMS) microbeams supported by a viscoelastic foundation. The theoretical framework is based on higher-order shear deformation theory, with size-dependent effects accounted for by the modified couple stress theory. Two representative TPMS configurations—Primitive and Gyroid—alongside four distinct material gradation schemes (A1, A2, B1, and B2) are thoroughly investigated. Lagrange’s equation is used to achieve the governing equations, and the Ritz method with a Jacobi function is employed to solve the problem. The present method demonstrates significant flexibility in handling various boundary conditions, including simply-supported, clamped-free, and clamped-simply supported. The method’s accuracy and reliability are confirmed through comparisons with available results in existing literature. In addition, this research provides novel insights into the bending, buckling, and vibration characteristics of FG-TPMS microbeams resting on the viscoelastic foundation, offering valuable reference data for future studies and practical applications.

采用雅可比-里兹方法分析了粘弹性基础下功能梯度三周期最小表面微梁的屈曲、弯曲、自由振动和阻尼振动行为。理论框架基于高阶剪切变形理论,尺寸依赖效应由修正的耦合应力理论来解释。两种典型的TPMS结构-原始和陀螺仪-以及四种不同的材料级配方案(A1, A2, B1和B2)进行了深入研究。采用拉格朗日方程求解控制方程,采用带Jacobi函数的Ritz方法求解。本方法在处理各种边界条件方面表现出显著的灵活性,包括简支,无夹紧和夹紧简支。通过与已有文献结果的比较,证实了该方法的准确性和可靠性。此外,本研究为FG-TPMS微梁在粘弹性基础上的弯曲、屈曲和振动特性提供了新的见解,为今后的研究和实际应用提供了有价值的参考数据。
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引用次数: 0
Transient response of bi-directional functionally graded nanobeams resting on a viscoelastic foundation 粘弹性地基上双向功能梯度纳米梁的瞬态响应
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-03 DOI: 10.1007/s10999-026-09996-0
Faruk Firat Calim, Mehmet Bugra Özbey, Tarık Baran

This study investigates the damped forced vibration response of bi-directional functionally graded (BDFG) nanobeams resting on a viscoelastic foundation, with emphasis on material gradation, nanoscale behaviour, foundation stiffness, and damping. To the best of the authors’ knowledge, this work establishes for the first time a canonical first-order ordinary differential equation formulation in the Laplace domain through conjugate momentums and their derivatives for the damped forced vibration of BDFG nanobeams resting on a viscoelastic foundation. The foundation is represented by visco-Winkler and visco-Pasternak components, allowing stiffness and damping effects to be considered simultaneously, while size dependency is incorporated through Eringen’s approach. The transfer matrix method is used to construct the element dynamic stiffness matrix, while Durbin’s technique recovers the transient response. Benchmark and convergence studies confirm the reliability of the procedure. Higher Winkler and Pasternak foundation stiffness coefficients reduce displacement amplitudes and shorten oscillation periods, while their damping components suppress the transient response and produce the strongest attenuation when acting simultaneously. Increasing the transverse gradient parameter increases displacement amplitudes and oscillation periods; however, the response is more sensitive to its initial increase, whereas further increases produce smaller changes. Increasing the axial gradient parameter reduces displacement amplitudes but generally lengthens oscillation periods. Most importantly, increasing nonlocality produces conventional stiffness-softening under simply supported conditions, whereas the opposite tendency is observed for the cantilever configuration, where displacement amplitudes decrease and oscillation periods shorten. This contrasting behaviour reveals the nonlocal stiffness-hardening paradox and demonstrates the strong dependence of the nonlocal response on boundary conditions.

本研究研究了粘弹性基础上双向功能梯度(BDFG)纳米梁的阻尼强迫振动响应,重点研究了材料级配、纳米级行为、基础刚度和阻尼。据作者所知,这项工作首次通过共轭动量及其导数在拉普拉斯域中建立了基于粘弹性基础的BDFG纳米梁的阻尼强迫振动的标准一阶常微分方程公式。基础由visco-Winkler和visco-Pasternak组件表示,允许同时考虑刚度和阻尼效应,同时通过Eringen的方法结合尺寸依赖性。采用传递矩阵法构建单元动刚度矩阵,采用Durbin技术恢复单元的瞬态响应。基准和收敛研究证实了该程序的可靠性。较高的Winkler和Pasternak基础刚度系数减小了位移幅值,缩短了振荡周期,而它们的阻尼分量在同时作用时抑制了瞬态响应,衰减最强。横向梯度参数增大,位移幅值和振荡周期增大;然而,响应对其初始增加更为敏感,而进一步增加则产生较小的变化。增加轴向梯度参数会减小位移幅度,但通常会延长振荡周期。最重要的是,在简支条件下,增加的非局域性会产生传统的刚度软化,而在悬臂结构中观察到相反的趋势,其中位移幅度减小,振荡周期缩短。这种对比行为揭示了非局部刚度-硬化悖论,并证明了非局部响应对边界条件的强烈依赖性。
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引用次数: 0
CUF-DLM-based dynamic aeroelastic analysis of composite plates with hierarchical viscoelastic damping for sports equipment applications 基于cuf - dlm的运动器材粘弹性阻尼层次化复合材料板动力气动弹性分析
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-02 DOI: 10.1007/s10999-026-09989-z
Shiyu Zheng, Yan Zhao, Yi Qiu

This research outlines a dynamic aeroelastic framework, using the Carrera unified formulation (CUF), combined with the doublet lattice method for multilayer plates that appear in advanced sports equipment structural parts. The proposed sandwich is built like: on the upper side, a Lead Zirconate Titanate piezoelectric sheet, also labeled PZT-5H; then you have a periodic lattice cellular core that is filled with Polyvinyl Chloride (PVC) as a viscoelastic medium, and at the lower end, there is another Lead Zirconate Titanate layer identified as PZT-4. To get the effective mechanical properties of that lattice core, the work relies on the Voigt averaging technique, mainly to mirror the hierarchical viscoelastic behavior of the cellular architecture. Inside the CUF framework, a layerwise kinematic model is paired with Mixed Interpolation of tensorial components plate elements. This pairing helps in tracking transverse shear deformation plus interlaminar stress continuity, and it also supports the coupled aeroelastic response when the system is under dynamic loading, conditions that can easily disturb everything. On top of that, a parallel multimodal shunt damping strategy is attached to the piezoelectric layers. The idea is to curb structural vibrations and, at the same time, boost flutter stability, while also improving electrical energy harvesting capability. Numerical analyses show that the combined effects of the viscoelastic PVC-filled lattice core and the distributed piezoelectric shunt circuits actually reduce vibration amplitudes quite a bit, also delay the aeroelastic instability onset, and raise the harvested power efficiency. The proposed multiphysics formulation gives you an efficient computational approach for design and optimization of lightweight, vibration-controlled, and energy-aware sports equipment structures under a complex aerodynamic environment.

本研究概述了一个动态气动弹性框架,使用Carrera统一公式(CUF),结合双重点阵法,用于先进运动器材结构件中出现的多层板。提出的三明治结构如下:在上部,锆钛酸铅压电片,也标记为PZT-5H;然后你有一个周期性的晶格细胞核心,里面充满了聚氯乙烯(PVC)作为粘弹性介质,在低端,有另一个锆钛酸铅层,被确定为PZT-4。为了获得晶格核的有效力学性能,这项工作依赖于Voigt平均技术,主要是为了反映细胞结构的分层粘弹性行为。在CUF框架内,分层运动模型与张拉分量、板单元的混合插值配对。这种组合有助于跟踪横向剪切变形和层间应力连续性,并且当系统处于动态加载时,它还支持耦合气动弹性响应,这种情况很容易干扰一切。在此基础上,在压电层上附加了并联多模态并联阻尼策略。这个想法是为了抑制结构振动,同时提高颤振稳定性,同时提高电能收集能力。数值分析表明,粘弹性聚氯乙烯填充点阵芯和分布式压电分流电路的联合作用确实能有效地降低振动幅值,延迟气动弹性失稳的发生,提高收获功率效率。提出的多物理场公式为您提供了一种有效的计算方法,用于在复杂的空气动力学环境下设计和优化轻量化,振动控制和能量感知的运动设备结构。
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引用次数: 0
Geometry-controlled thermomechanical response of cylindrical re-entrant auxetic lattices 几何控制的圆柱形可重入的形变晶格的热力学响应
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-10-01 DOI: 10.1007/s10999-026-09993-3
Anastasia Tarasova, Mikhail Tashkinov

This work presents a numerical investigation of the thermomechanical behavior of a cylindrical auxetic lattice structure based on re-entrant unit cells arranged in the radial–circumferential plane. A computational framework for generating geometrically graded cylindrical auxetic lattices with controllable cell density and structural thickness was developed. Finite element simulations were performed to investigate the influence of lattice geometry and coefficient of thermal expansion (CTE) on the deformation response under thermal and coupled thermomechanical loading. The results demonstrate that the response is governed predominantly by topology-dependent kinematic mechanisms rather than solely by material properties. Increasing structural thickness suppresses rotational opening of the re-entrant cells and shifts the behavior toward that of a solid cylinder. Coupled thermomechanical simulations showed that internal pressure effectively suppresses thermally induced radial expansion, enabling deformation regimes approaching zero effective radial deformation. Comparison with different cylindrical lattice topologies demonstrated that structures with similar deformation magnitudes may exhibit substantially different stress redistribution behavior. The obtained results highlight the potential of cylindrical auxetic metamaterials with programmable thermal expansion and adaptive deformation response for advanced engineering applications.

本文提出了一种基于在径向-周向平面上布置的可重入单元胞的圆柱形辅助晶格结构的热力学行为的数值研究。提出了一种可控制胞体密度和结构厚度的几何梯度柱形辅助格的生成计算框架。通过有限元模拟研究了晶格几何形状和热膨胀系数(CTE)对热载荷和热-机械耦合载荷下变形响应的影响。结果表明,响应主要由拓扑相关的运动学机制而不是仅仅由材料性质决定。增加结构厚度抑制了再入单元的旋转打开,并将其行为转变为固体圆柱体的行为。耦合热-力学模拟表明,内压有效地抑制了热诱导的径向膨胀,使有效径向变形接近于零。与不同柱晶格拓扑结构的比较表明,具有相似变形量的结构可能表现出本质上不同的应力重分布行为。这些研究结果凸显了具有可编程热膨胀和自适应变形响应的圆柱形形变超材料在先进工程应用中的潜力。
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引用次数: 0
Optimal contract modes based on BIM capability maturity: the case of design and construction contracts 基于BIM能力成熟度的最优合同模式:以设计与施工合同为例
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-24 DOI: 10.1007/s10999-026-09975-5
Ting Wang

Building Information Modeling (BIM) has transformed project delivery, yet contract design for BIM-enabled projects remains anchored in qualitative frameworks that implicitly assume uniform BIM capability across contracting parties. In practice, however, the designer and constructor often operate at substantially different levels of BIM capability maturity (BIM-CM), creating heterogeneous information environments that standard principal-agent models do not address. This study develops a normative analytical framework that treats BIM-CM as the central determinant of contract architecture. We construct a dual-agent principal-agent model in which the designer and constructor contribute complementary efforts through a collaborative production function, and we solve for optimal contract modes under three BIM-CM configurations: both parties at high maturity, both at low maturity, and–most distinctively–mixed maturity, where one party is mature and the other is not. Nine propositions are derived, and second-order conditions are verified to establish equilibrium uniqueness. The results yield three contract prescriptions. Under high BIM-CM, a compulsory (fixed-price) contract achieves the first-best: the risk-neutral owner bears all output risk. Under low BIM-CM, an incentive contract with risk-sharing is optimal. The mixed-maturity configuration produces a hybrid compulsory-plus-incentive contract absent from standard theory. A novel free-riding mechanism (Fig. 3) is identified: the high-maturity party’s observable effort, transmitted through the collaborative production function, raises the low-maturity party’s remuneration while depressing its own effort, such that the first-best remains unattainable even with one fully mature partner. Agency costs are decomposed into risk and incentive components and compared across configurations. The paper contributes a maturity-contingent contract typology and a decision heuristic that translate formal results into actionable guidance, replacing uniform qualitative prescriptions with differentiated contract recommendations grounded in BIM capability assessment.

建筑信息模型(BIM)已经改变了项目交付,然而BIM支持的项目的合同设计仍然锚定在定性框架中,这些框架隐含地假设了缔约各方统一的BIM能力。然而,在实践中,设计师和建造者经常在BIM能力成熟度(BIM- cm)的不同层次上运作,创造了标准委托-代理模型无法解决的异构信息环境。本研究开发了一个规范性分析框架,将BIM-CM视为契约架构的核心决定因素。我们构建了一个双代理的委托代理模型,其中设计者和建设者通过协同生产函数贡献互补的努力,我们求解了三种BIM-CM配置下的最优契约模式:双方都处于高成熟度,双方都处于低成熟度,最明显的是混合成熟度,其中一方成熟而另一方不成熟。导出了九个命题,并验证了建立均衡唯一性的二阶条件。结果得出三种合同处方。在高BIM-CM条件下,强制性(固定价格)合同达到了最优:风险中性的所有者承担全部产出风险。在BIM-CM较低的情况下,风险分担的激励契约是最优的。混合期限配置产生了标准理论所没有的强制加激励的混合契约。发现了一种新的搭便车机制(图3):高成熟方的可观察努力通过协同生产函数传递,提高了低成熟方的报酬,同时抑制了其自身的努力,以至于即使有一个完全成熟的合作伙伴,也无法达到第一最佳。将代理成本分解为风险和激励两部分,并在不同配置下进行比较。本文提供了一个基于成熟度的合同类型学和一个决策启发式,将正式结果转化为可操作的指导,用基于BIM能力评估的差异化合同建议取代统一的定性处方。
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引用次数: 0
Thermo-electro-magneto-mechanical vibration and machine learning based multi-objective optimization of MWCNT/GNP hybrid sandwich plate with auxetic honeycomb core 基于热-电磁-机械振动和机器学习的MWCNT/GNP复合蜂窝芯板多目标优化
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-19 DOI: 10.1007/s10999-026-09978-2
Tran Dinh Tuan, Vu Minh Anh, Tran Quoc Quan, Nguyen Dinh Duc

Nanocomposites reinforced with multi-walled carbon nanotubes (MWCNTs) or graphene nanoplatelets (GNPs) have been widely studied due to their enhanced mechanical, thermal and electrical properties; however, hybrid systems combining both nanofillers remain relatively underexplored, particularly in sandwich structures with multifunctional materials. To address this gap, the vibration behaviors and multi-objective optimization of sandwich plate comprising auxetic honeycomb core, two hybrid nanocomposite intermediate layers reinforced with MWCNTs and GNPs and two magneto–electro–elastic (MEE) face sheets are investigated. Four different distribution patterns of CNTs and GNPs, namely O, X, U and V are considered. The governing equations are formulated based on Reddy’s higher order shear deformation plate theory, incorporating von Kármán nonlinear strain–displacement relationships. Various parametric studies are performed to examine the effects of the weight fractions and distribution patterns of CNTs and GNPs, MWCNT:GNP distribution ratio, GNP size, temperature increment, viscoelastic foundations as well as geometrical parameters. For the optimization problem, to reduce the computational cost of repeated analytical evaluations, six machine learning (ML) models are used to construct surrogate models integrated into the non-dominated sorting genetic algorithm II (NSGA-II) to simultaneously maximize the natural frequency and minimize the mass of the sandwich plate. The results demonstrate that the pure GNP reinforcement provides superior stiffness, whereas the balanced MWCNT:GNP ratio of 1:1 offers higher stiffness than the other hybrid reinforcement configurations and the pure CNT reinforcement exhibits the lowest stiffness. Furthermore, the integration of ML models into NSGA-II preserves the quality of the obtained solutions while reducing the computational cost by approximately 88.31–92.63%.

多壁碳纳米管(MWCNTs)或石墨烯纳米片(GNPs)增强的纳米复合材料由于其增强的力学、热学和电学性能而得到了广泛的研究;然而,结合这两种纳米填料的混合系统仍未得到充分开发,特别是在多功能材料的夹层结构中。为了解决这一问题,研究了由辅助蜂窝芯、两层MWCNTs和GNPs增强的杂化纳米复合材料中间层和两层磁电弹性(MEE)面片组成的夹层板的振动行为和多目标优化。考虑了四种不同的碳纳米管和GNPs分布模式,即O、X、U和V。控制方程基于Reddy的高阶剪切变形板理论,并结合von Kármán非线性应变-位移关系。进行了各种参数研究,以检查CNTs和GNPs的重量分数和分布模式、MWCNT:GNP分布比、GNP大小、温升、粘弹性基础以及几何参数的影响。针对优化问题,为了减少重复分析评估的计算成本,利用6个机器学习(ML)模型构建代理模型,整合非支配排序遗传算法II (NSGA-II),同时实现夹层板固有频率最大化和质量最小化。结果表明,纯国产碳纳米管与国产碳纳米管比例为1:1的混合配筋比其他混合配筋刚度更高,纯碳纳米管配筋刚度最低。此外,将ML模型集成到NSGA-II中,在保留得到的解的质量的同时,将计算成本降低了约88.31-92.63%。
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引用次数: 0
Hard and soft Reynolds-parameterized physics-informed neural networks to investigate momentum and heat transfer in turbine cooling 硬和软雷诺参数化物理信息神经网络研究涡轮冷却中的动量和传热
IF 4.7 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-09-15 DOI: 10.1007/s10999-026-09973-7
Pavan Patel, Nagesh Sahu, Saroj R. Yadav

The main aim of this paper is to show the application of the intersection of transport phenomena in porous media and scientific machine learning approaches. Nowadays, machine learning is widely used to solve complex nonlinear fluid dynamics problems. In this study, we developed Reynolds-parameterized physics-informed neural networks (PINNs) under soft and hard frameworks to solve nonlinear turbine cooling disk model. The physics of our model involves solving momentum and energy equations for the laminar flow of a non-Newtonian fluid inside an axisymmetric porous channel. Hot gases heat the lower disk externally, while a cooling fluid is injected from the top disk. Using a stream function, we convert the governing nonlinear partial differential equations into coupled ordinary differential equations. We used a Reynolds-parameterized approach because it allows a single trained network to predict flow behavior across a continuous range of Reynolds numbers, eliminating the need to retrain the model for every new parameter value. Often, standard soft PINNs fail to satisfy boundary conditions because balancing the multi-objective loss function during training causes optimization issues. To fix this, we developed a hard PINNs approach for our model. By strictly encoding boundary conditions directly into the network architecture, the hard PINNs guarantee exact solutions at the boundaries. Validated against the Runge–Kutta method, the hard PINNs yield highly accurate results inside the domain, on the boundary, and strictly respect the underlying physics. Finally, polynomial surrogate correlations were estimated using polynomial fitting to generate interpretable models, validated by the coefficient of determination.

本文的主要目的是展示多孔介质中输运现象交叉点和科学机器学习方法的应用。目前,机器学习被广泛应用于求解复杂的非线性流体动力学问题。在本研究中,我们开发了软硬框架下的雷诺参数化物理信息神经网络(pinn)来求解非线性涡轮冷却盘模型。我们的物理模型涉及求解轴对称多孔通道内非牛顿流体层流的动量和能量方程。热气体从外部加热下盘,而冷却流体从顶部盘注入。利用流函数,将控制非线性偏微分方程转化为耦合常微分方程。我们使用了Reynolds参数化方法,因为它允许单个训练过的网络在连续的雷诺数范围内预测流动行为,而无需为每个新参数值重新训练模型。通常,标准的软pin不能满足边界条件,因为在训练过程中平衡多目标损失函数会导致优化问题。为了解决这个问题,我们为我们的模型开发了一个硬pin方法。通过将边界条件直接严格编码到网络结构中,硬pin保证了边界处的精确解。经过龙格-库塔方法的验证,硬pin在域内、边界上产生了高度精确的结果,并严格尊重底层物理。最后,使用多项式拟合来估计多项式代理相关性,以生成可解释的模型,并通过决定系数进行验证。
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International Journal of Mechanics and Materials in Design
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