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Frequency optimization of stiffened piezolaminated composite plates using a special relativity search based on hill climbing algorithm 基于爬坡算法的狭义相对论搜索加筋压电复合材料板频率优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-27 DOI: 10.1007/s10999-025-09814-z
Vahid Goodarzimehr, Umut Topal, Mehdi Bohlooly Fotovat

Frequency optimization of stiffened piezolaminated composite plates has not been investigated so far. Therefore, this study focuses on optimizing the fundamental frequency of stiffened piezolaminated composite plates using a novel special relativity search based on hill climbing (SRSHC) algorithm. The optimization process maximizes the fundamental frequency by adjusting the fibre orientations within the composite layers. The mathematical models, based on classical laminated plate theory (CLPT) with von Karman nonlinearity, are solved using MATLAB. The impact of various parameters, including boundary conditions, grid shapes, angles of diagonal ribs, and plate aspect ratios, on the optimized frequency results is thoroughly examined. The results demonstrate that the SRSHC algorithm outperforms the Special Relativity Search (SRS) algorithm, confirming its effectiveness in complex optimization problems with large search spaces. This research contributes to advancing the design of smart structures with enhanced dynamic performance.

加筋压电层合复合材料板的频率优化问题目前尚未得到研究。因此,本研究的重点是利用一种新的基于爬坡(SRSHC)算法的狭义相对论搜索来优化加筋压电复合材料板的基频。优化过程通过调整复合材料层内的纤维方向来最大化基频。基于经典叠合板理论(CLPT),并结合von Karman非线性,利用MATLAB对其数学模型进行求解。各种参数的影响,包括边界条件,网格形状,斜肋的角度,和板的宽高比,对优化的频率结果进行了彻底的检查。结果表明,SRSHC算法优于狭义相对论搜索(SRS)算法,证实了其在大搜索空间的复杂优化问题中的有效性。该研究有助于推进具有增强动力性能的智能结构的设计。
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引用次数: 0
Optimization of lock-in thermography applied for automatic identification of internal defects in 3D-printing polymer 应用于3d打印聚合物内部缺陷自动识别的锁定热成像优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-26 DOI: 10.1007/s10999-025-09812-1
Javier Pisonero, Manuel Rodríguez-Martín, Diego González-Aguilera, Roberto García-Martín

This work presents a methodology for automatic detection of internal defects in parts manufactured from 3D printing with two of the most common materials for these purposes. Active Thermography has been used, specifically the Lock-in technique. To ensure reliable detection, the varying frequencies of the stimulation source have been compared to determine the optimal configuration. Results have been analysed to identify the parameters that most affect the identification of defects. Results show that the frequency and the type of material used are the most critical parameters that condition the detection though the influence of this latter was less clear, so it was necessary apply a novel analysis based on Machine Learning. Most effective algorithm was an ensemble model, which achieved an accuracy rate of 88.9%. A variation of Maximum Stable External Regions is presented to automatised detection.

这项工作提出了一种方法,用于自动检测从3D打印制造的零件内部缺陷,其中两种最常见的材料用于这些目的。主动热成像已被使用,特别是锁定技术。为了确保可靠的检测,对刺激源的不同频率进行了比较,以确定最佳配置。对结果进行了分析,以确定最影响缺陷识别的参数。结果表明,频率和所用材料的类型是影响检测的最关键参数,尽管后者的影响不太明显,因此有必要应用基于机器学习的新分析。最有效的算法是集成模型,准确率达到88.9%。提出了一种用于自动检测的最大稳定外部区域的变化。
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引用次数: 0
Nonlocal strain gradient finite element model for dynamic buckling analysis of non-uniform thickness piezoelectric skew-nanoplate considering surface effect 考虑表面效应的非均厚压电斜纳米板动态屈曲分析的非局部应变梯度有限元模型
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-28 DOI: 10.1007/s10999-025-09798-w
Q. H Pham, Thanh Cuong-Le

In this present, the finite element approach is employed to analyze the free oscillation, static and dynamic buckling of skew-nanoplate made of piezoelectric materials with variable thickness resting on variable Pasternak medium in a hygro-temperature environment. This study is a wonderful combination of Kirchhoff plate theory, nonlocal strain gradient hypothesis, and surface effect and Hamilton’s principle to derive the general equilibrium equation of the plate. A four-node quadrilateral plate element with six degrees of freedom per node is developed using a Hermit C2-level non-conforming shape function. This element offers high accuracy and fast convergence for a variety of shapes and boundary conditions, outperforming lower-order elements. Bolotin’s method is applied to determine the dynamic instability region of the non-uniform piezoelectric skew nanoplate. The accuracy of the present approach is validated through numerical comparisons with established data. Furthermore, the effects of parameters such as residual surface stress, applied voltage, temperature gradient, moisture, elastic foundation stiffness, thickness variation, skew angle, geometric factors, and boundary conditions on free oscillation and stability of skew nanoplate are thoroughly assessed. The present study will offer the physical insights required to model size-dependent multifunctional systems for active control of mechanical characteristics and electromechanical energy harvesting, given the recent developments in nanoscale manufacturing.

本文采用有限元方法分析了变厚度压电材料斜纳米板在变帕斯捷尔纳克介质上的自由振荡、静屈曲和动态屈曲。本研究将Kirchhoff板理论、非局部应变梯度假说、表面效应和Hamilton原理巧妙地结合起来,推导出板的一般平衡方程。利用Hermit c2级非一致性形状函数,建立了每个节点具有6个自由度的四节点四边形板单元。该元件为各种形状和边界条件提供高精度和快速收敛,优于低阶元件。采用Bolotin方法确定了非均匀压电偏斜纳米板的动态失稳区域。通过与已有数据的数值比较,验证了本文方法的准确性。此外,还全面评估了表面残余应力、外加电压、温度梯度、湿度、弹性基础刚度、厚度变化、倾斜角度、几何因素和边界条件等参数对倾斜纳米板自由振荡和稳定性的影响。鉴于纳米级制造的最新发展,本研究将提供物理见解,以模拟尺寸相关的多功能系统,以主动控制机械特性和机电能量收集。
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引用次数: 0
Thermo-hygro-induced energy harvesting from piezoelectric sandwich cylindrical microshells with honeycomb cores 蜂窝芯压电夹层圆柱微壳热湿致能量收集
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-23 DOI: 10.1007/s10999-025-09792-2
Pouyan Roodgar Saffari, Teerapong Senjuntichai, Peyman Roodgar Saffari, Suraparb Keawsawasvong

This study develops a comprehensive mathematical model for vibration-based energy harvesting in laminated bimorph cylindrical microshells with hexagonal honeycomb cores, subjected to nonlinear thermal gradients and moisture environments, and supported by a viscoelastic foundation. It is assumed that the sandwich microshell is subjected to various boundary conditions. The external layers use piezoelectric materials to improve energy conversion. First-order shear deformation theory (FSDT) and modified strain gradient theory (MSGT) are utilized to formulate size-dependent dynamic equations that incorporate microscale effects. The modified Gibson’s equation is used to estimate the material characteristics of the honeycomb core, which is considered a homogeneous orthotropic medium. Employing Hamilton’s principle and Gauss’s law, coupled electromechanical equations are derived to characterize the system’s dynamic behavior. Frequency response functions are found using analytical methods that correlate electrical power production with resistance to external loads. An extensive parametric study examines how energy harvesting efficiency is affected by geometric dimensions, length scale parameters, fluctuation of the temperature, variation of moisture, viscoelastic medium, parallel and series piezoelectric setups, boundary conditions, and honeycomb characteristics. The results provide important information for improving the design of nanoscale energy harvesters and their performance in viscoelastic and thermally dynamic environments.

本研究建立了一个综合的数学模型,用于在非线性热梯度和潮湿环境下,由粘弹性基础支撑的六边形蜂窝芯层合双晶圆微壳中基于振动的能量收集。假定夹层微壳受到各种边界条件的约束。外层使用压电材料来提高能量转换。利用一阶剪切变形理论(FSDT)和修正应变梯度理论(MSGT)建立了包含微尺度效应的尺寸相关动力学方程。将蜂窝芯视为均匀正交各向异性介质,利用修正的Gibson方程对蜂窝芯的材料特性进行了估计。利用哈密顿原理和高斯定律,推导了系统动力学特性的耦合机电方程。频率响应函数是用分析方法发现的,该方法将电力生产与对外部负载的阻力联系起来。一项广泛的参数研究考察了能量收集效率如何受到几何尺寸、长度尺度参数、温度波动、湿度变化、粘弹性介质、并联和串联压电装置、边界条件和蜂窝特性的影响。研究结果为改进纳米能量收集器的设计及其在粘弹性和热动态环境中的性能提供了重要信息。
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引用次数: 0
Double functionally graded porous resonator combining hollow microcore via nonlocal strain gradient approach for large adsorption of water molecules 通过非局部应变梯度方法结合空心微核的双功能梯度多孔谐振器用于大量吸附水分子
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-21 DOI: 10.1007/s10999-025-09797-x
Abir Lamari, Hicham Bourouina, Soumia Khouni, Yahia Maiza, Mohamed Mektout

This study utilizes the nonlocal strain gradient elasticity theory to investigate the dimensionless frequency shift caused by adsorption in a dynamic resonator system. The system consists of double functionally graded porous sandwich microbeams with a two-dimensional periodic square holes network, connected through an elastic medium and influenced by a magnetic field, compressive loading, and distributed water molecules. The double functional microbeams follow a power-law distribution for thickness-dependent properties, considering two porosity patterns. The impact of the applied magnetic field is analyzed using Maxwell’s equations. Nonlocal strain gradient elasticity theory is employed to capture small-scale effects. Both Euler–Bernoulli and Rayleigh beam theories are utilized to account for bending and rotary inertia effects. Interatomic interaction energies are modeled using Lennard–Jones (6–12), Morse, and Buckingham potentials, while perforation effects are incorporated into the equivalent bending stiffness. Analytical solutions are derived using the Navier-type method, and numerical solutions via the differential quadrature method. Results indicate that the dimensionless frequency shift is strongly influenced by porosity volume fraction and hole configuration. Water molecule adsorption reduces the frequency shift, while increases in magnetic field intensity and length-to-width ratio improve structural sensitivity. Additionally, both dimensionless compressive force and spring parameter introduce a softening effect, lowering system stiffness and amplifying the drop in dimensionless nonlocal frequency. A clear discrepancy between Euler–Bernoulli and Rayleigh model predictions highlights the role of rotary inertia. This model offers a comprehensive framework for designing advanced microresonators for nano/microscale sensing applications, such as mass detection and virus-induced frequency modulation.

本文利用非局部应变梯度弹性理论研究了动态谐振腔系统中吸附引起的无量纲频移。该系统由双功能梯度多孔夹层微梁组成,具有二维周期性方孔网络,通过弹性介质连接,受磁场、压缩载荷和分布的水分子的影响。考虑到两种孔隙模式,双功能微梁遵循厚度相关特性的幂律分布。利用麦克斯韦方程组分析了外加磁场的影响。采用非局部应变梯度弹性理论捕捉小尺度效应。欧拉-伯努利和瑞利光束理论都被用来解释弯曲和旋转惯性效应。原子间相互作用能使用Lennard-Jones(6-12)、Morse和Buckingham势进行建模,而射孔效应则被纳入等效弯曲刚度中。解析解采用navier型方法,数值解采用微分求积分法。结果表明,孔隙体积分数和孔隙结构对无量纲频移影响较大。水分子的吸附减少了频移,而磁场强度和长宽比的增加提高了结构灵敏度。此外,无量纲压缩力和弹簧参数都引入了软化效应,降低了系统刚度,放大了无量纲非局部频率的下降。欧拉-伯努利和瑞利模型预测之间的明显差异突出了旋转惯性的作用。该模型为设计先进的微谐振器提供了一个全面的框架,用于纳米/微尺度传感应用,如大规模检测和病毒诱导的频率调制。
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引用次数: 0
Exact analysis of local/nonlocal vibration in nanobeams on elastic foundations with arbitrary supports and tip masses 任意支承和端部质量弹性基础上纳米梁局部/非局部振动的精确分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-21 DOI: 10.1007/s10999-025-09809-w
Mohsen Bambaeechee

This study presents exact analytical solutions for the local and nonlocal transverse vibration of Euler–Bernoulli nanobeams resting on Winkler–Pasternak elastic foundations. Incorporating Eringen’s nonlocal elasticity theory, the model captures small-scale effects, while rotational and translational springs represent general boundary conditions. For the first time, exact and general frequency equations are derived for nanobeams with arbitrary boundary conditions, elastic foundations, and tip masses. These equations are numerically solved to obtain precise natural frequencies, showcasing the accuracy and versatility of the proposed framework. The influence of key parameters such as nonlocal effects, boundary flexibility, foundation stiffness, tip masses, and slenderness ratio on the first three natural frequencies and mode shapes is systematically analyzed. Results reveal the significant role these factors play in shaping vibrational behavior, providing critical insights into the dynamic response of nanostructures. Presented in graphical and tabular formats, the findings offer benchmark solutions for validating future models. This work advances the understanding of nanobeam dynamics and supports the design and optimization of advanced nanoscale systems embedded in elastic media with flexible supports and tip masses.

本文给出了基于温克勒-帕斯捷尔纳克弹性地基上的欧拉-伯努利纳米梁的局部和非局部横向振动的精确解析解。结合Eringen的非局部弹性理论,该模型捕获了小尺度效应,而旋转和平移弹簧代表了一般的边界条件。首次导出了具有任意边界条件、弹性基础和尖端质量的纳米梁的精确和通用频率方程。对这些方程进行数值求解以获得精确的固有频率,展示了所提出框架的准确性和通用性。系统分析了非局部效应、边界柔度、基础刚度、端部质量、长细比等关键参数对前三阶固有频率和振型的影响。结果揭示了这些因素在形成振动行为中所起的重要作用,为纳米结构的动态响应提供了重要的见解。研究结果以图形和表格的形式呈现,为验证未来的模型提供了基准解决方案。这项工作促进了对纳米梁动力学的理解,并支持了嵌入弹性介质中具有柔性支撑和尖端质量的先进纳米级系统的设计和优化。
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引用次数: 0
Metamodeling for robust design of energy harvesting devices using multiobjective optimizations 基于多目标优化的能量收集装置稳健设计元建模
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-19 DOI: 10.1007/s10999-025-09804-1
Paulo H. Martins, Auteliano A. Santos

The growing demand for energy has led to significant attention being given to the energy harvesting process from vibrations using piezoelectric materials. Given the limited energy available for conversion, robust designs that minimize sensitivity to parameter uncertainties or external variations are essential. To ensure project quality, multi-objective optimizations are necessary to maximize the mean and minimize the standard deviation of the response, but the computational cost increases with the number of uncertain parameters, requiring more efficient approaches. In this way, with metamodels, which are computational tools, it is possible to provide a faster and less costly evaluation of such computationally expensive models. This study proposes the use of a Kriging metamodel to design robust cantilever beam energy harvesting devices, combined with Monte Carlo Simulation to estimate the mean and standard deviation of the Frequency Response Function of power output. Multi-objective optimization and sensitivity analysis are applied. Results indicate that using more design variables leads to a metamodel with higher computational cost due to the larger number of experimental samples required. Nevertheless, this cost remains low compared to direct model optimization, with a satisfactory time reduction in the optimization process.

随着能源需求的不断增长,利用压电材料从振动中收集能量的过程受到了极大的关注。考虑到可用于转换的能量有限,将对参数不确定性或外部变化的敏感性降到最低的稳健设计是必不可少的。为了保证工程质量,需要进行多目标优化,使响应的均值最大化,标准差最小,但随着不确定参数的增加,计算成本增加,需要更高效的方法。通过这种方式,使用元模型(即计算工具),可以为这种计算代价昂贵的模型提供更快、成本更低的评估。本研究提出利用Kriging元模型设计稳健的悬臂梁能量收集装置,并结合蒙特卡罗仿真估计功率输出的频响函数的均值和标准差。采用多目标优化和灵敏度分析。结果表明,使用更多的设计变量会导致元模型的计算成本更高,因为需要更多的实验样本。然而,与直接模型优化相比,这种成本仍然很低,优化过程中的时间减少了令人满意的时间。
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引用次数: 0
Reliability based optimization of the shallow-buried landmine sandwich structure and parameter sensitivity analysis 浅埋地雷夹层结构可靠性优化及参数敏感性分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-18 DOI: 10.1007/s10999-025-09810-3
Fan Yang, Yonis Hashi Abdillahi, Xufeng Yang, Zhenyu Zhao

The detonation of landmines poses a significant threat to armored vehicles and their crews on battlefield. To enhance the resistance of vehicles to shallow-buried explosives, sandwich structures are commonly employed. This paper employs an uncertain design approach with the optimization objective of rear panel displacement to conduct reliability optimization of sandwich anti-explosion structures and perform parameter sensitivity analysis. In order to improve the computational efficiency and the robustness of the algorithm, the single-objective optimization problem of minimizing the weight of the structure under the reliability constraints is transformed into a bi-objective optimization problem in terms of the structural areal density and the probability of failure, and is solved using the NSGA-II optimization algorithm. In local sensitivity analysis, the thickness of the front and rear panels, as well as the core thickness, exhibits a substantial influence on rear panel displacement. Regarding global reliability sensitivity analysis, the displacement of the front and rear panels exerts a more significant impact on the failure probability of rear panel displacement. The reliability optimization method proposed in this paper holds considerable engineering significance for optimizing sandwich panels under explosive loads. This offers a valuable framework for researchers and engineers involved in the design of sandwich structures for efficient energy absorption in the context of shallow-buried landmine scenarios.

地雷的爆炸对战场上的装甲车辆及其乘员构成重大威胁。为了提高车辆对浅埋炸药的抵抗能力,通常采用夹层结构。本文采用不确定设计方法,以后面板位移为优化目标,对夹层防爆结构进行可靠性优化,并进行参数灵敏度分析。为了提高算法的计算效率和鲁棒性,将可靠性约束下结构重量最小的单目标优化问题转化为考虑结构面密度和失效概率的双目标优化问题,并采用NSGA-II优化算法求解。在局部敏感性分析中,前后面板厚度以及核心厚度对后面板位移有较大影响。在整体可靠性灵敏度分析中,前后面板位移对后面板位移失效概率的影响更为显著。本文提出的可靠性优化方法对夹层板在爆炸荷载作用下的可靠性优化具有重要的工程意义。这为研究人员和工程师在浅埋地雷情况下设计有效吸收能量的夹层结构提供了一个有价值的框架。
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引用次数: 0
CFD simulation and performance comparison of two distillation tank designs with different heat source geometries 不同热源几何形状下两种蒸馏罐设计的CFD仿真及性能比较
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-17 DOI: 10.1007/s10999-025-09762-8
Omid Shariati, Hadi SamimiAkhjahani

This paper presents a numerical simulation using ANSYS Fluent to investigate the performance of two water desalination systems under identical conditions. Realistic environmental conditions such as ambient pressure, temperature, fluid inlet velocity, and temperature of the fluid entering the tank and the heat source (both being water) were considered. Both models were tested under the same conditions: a pressure of 1 atm, an ambient temperature of 27 °C, an inlet fluid velocity in the tank of 0.08 m/s, an inlet fluid temperature to the tank of 27 °C, an inlet fluid velocity to the heat source of 0.01 m/s, and an inlet fluid temperature to the heat source of 67 °C. The tank and heat source were made of aluminum and copper, respectively. The obtained results showed significant differences and will be discussed in detail in the following sections.

本文利用ANSYS Fluent软件对两种海水淡化系统在相同条件下的性能进行了数值模拟研究。考虑了实际环境条件,如环境压力、温度、流体入口速度、进入水箱的流体温度和热源(均为水)。两种模型在相同的条件下进行测试:压力为1atm,环境温度为27℃,罐内入口流体速度为0.08 m/s,罐内入口流体温度为27℃,入口流体到热源的速度为0.01 m/s,入口流体到热源的温度为67℃。水箱和热源分别由铝和铜制成。得到的结果显示出显著的差异,并将在下面的小节中详细讨论。
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引用次数: 0
Multi-objective optimization for axial field flux focusing magnetic gear with H-type modulated stator and halbach PMs arrays for wind power generation 风力发电h型定子和halbach永磁阵列轴向磁场聚焦磁齿轮的多目标优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-17 DOI: 10.1007/s10999-025-09808-x
Jun-gang Wang, Zhi-liang Zeng, Rui-na Mo

Magnetic gears show important potential applications in the field of wind power generation equipment due to their low maintenance cost, low noise, no lubrication, and overload protection. However, the existing dual-modulated magnetic ring double modulated axial magnetic gears suffer from weak modulation effect, susceptibility to magnetic saturation, and magnetic leakage. In response to these problems, a single modulator modulated axial field flux focusing magnetic gear is proposed in this paper. This axial field flux focusing magnetic gear (AFFMG) combines an H-type modulated stator and an array of Halbach permanent magnets (PMs) and is designed to replace mechanical gearboxes in wind power generation systems. By introducing an H-type modulated stator in the middle of the high and low-speed rotor of the AFFMG, the magnetic field of the PMs is double modulated in the axial and transverse directions, and the hybrid double modulated utilization is realized. This design effectively suppresses the magnetic leakage and magnetic saturation effect of the PMs and improves the torque density and utilization rate of the PMs. In addition, the high-speed rotor PMs are magnetized with Halbach arrays, which significantly improves the magnetic flux density of the air gap and reduces the non-operating harmonics, thereby effectively improving the torque density. In this study, the topology and working principle of the proposed AFFMG are introduced in detail, and the proposed AFFMG finite element model is established. Based on the results of the comprehensive sensitivity analysis, the response surface method and the multi-objective whale optimization algorithm were used to optimize the design, and the optimal structure size parameters were determined. The performance comparison analysis verifies the effectiveness of the optimized design method. The results show that the proposed AFFMG can effectively reduce the magnetic flux leakage at the end, suppress the magnetic saturation effect, increase the torque density by 140.67%, and significantly enhance the magnetic field modulation effect. By observing the starting torque and starting speed curves, it is found that the proposed AFFMG can provide stable torque output during the start-up phase. At the same time, the torque ripple of the high-speed rotor and the external rotor is reduced by 12.31 and 16.16% respectively, and the transmission reliability is significantly improved. This study provides a useful reference for the design of high-performance new double modulated flux focusing axial magnetic gear.

磁力齿轮因其维护成本低、噪音低、无需润滑、过载保护等优点,在风力发电设备领域显示出重要的潜在应用前景。但现有双调制磁环双调制轴向磁齿轮存在调制效果弱、易磁饱和、漏磁等问题。针对这些问题,本文提出了一种单调制器调制轴向磁场聚焦磁齿轮。这种轴向磁场聚焦磁齿轮(AFFMG)结合了一个h型调制定子和一组Halbach永磁体(pm),旨在取代风力发电系统中的机械齿轮箱。通过在AFFMG的高低速转子中间引入h型调制定子,实现了永磁转子的轴向和横向双调制,实现了混合双调制利用。该设计有效地抑制了永磁电机的漏磁和磁饱和效应,提高了永磁电机的转矩密度和利用率。此外,高速转子永磁电机采用Halbach阵列磁化,显著提高了气隙的磁通密度,降低了非运行谐波,从而有效提高了转矩密度。在本研究中,详细介绍了所提出的AFFMG的拓扑结构和工作原理,并建立了所提出的AFFMG有限元模型。在综合灵敏度分析结果的基础上,采用响应面法和多目标鲸鱼优化算法对设计进行优化,确定了最优结构尺寸参数。性能对比分析验证了优化设计方法的有效性。结果表明,所提出的AFFMG能有效降低末端漏磁,抑制磁饱和效应,提高转矩密度140.67%,显著增强磁场调制效果。通过对起动转矩和起动速度曲线的观察,发现所提出的AFFMG在起动阶段能够提供稳定的转矩输出。同时,高速转子和外转子的转矩脉动分别减小了12.31%和16.16%,传动可靠性显著提高。该研究为高性能新型双调制磁通聚焦轴向磁齿轮的设计提供了有益的参考。
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引用次数: 0
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International Journal of Mechanics and Materials in Design
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