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Analysis of torsional vibration in viscoelastic functionally graded nanotubes with viscoelastic constraints using doublet mechanics theory 基于双重态力学理论的粘弹性功能梯度纳米管扭转振动分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-07 DOI: 10.1007/s10999-025-09802-3
Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı

In this study, the torsional vibration behavior of functionally graded viscoelastic nanotubes under viscoelastic boundary conditions is investigated in detail within the framework of Doublet Mechanics Theory. A comprehensive solution method is presented that allows the combined consideration of nanoscale effects and viscoelastic behavior; the effects of fundamental parameters such as viscous damping parameter, scale parameter and power law exponent on the system dynamics are analytically revealed. Physical interpretations of both vibration frequencies and damping effects are made from the obtained complex frequency solutions, and the effects of these parameters on the frequency spectrum are analyzed in detail with the help of tables and graphs. The results clearly indicate that classical elastic models are inadequate for the torsional vibration behavior of viscoelastic nanotubes and damping effects at the nano level should not be ignored. Furthermore, it is displayed that there are clear mathematical relationships between the real and imaginary components of the complex frequencies obtained in the system under the direct influence of the viscoelastic model used. In this context, the study makes an important contribution not only theoretically but also in terms of practical applications for the design of nano-mechanical systems.

本文在双重态力学理论的框架下,详细研究了粘弹性边界条件下功能梯度粘弹性纳米管的扭转振动行为。提出了一种综合考虑纳米效应和粘弹性的综合求解方法;分析揭示了粘滞阻尼参数、尺度参数和幂律指数等基本参数对系统动力学的影响。根据得到的复频率解,对振动频率和阻尼效应进行了物理解释,并借助表格和图形详细分析了这些参数对频谱的影响。结果表明,经典弹性模型对于粘弹性纳米管的扭转振动特性是不充分的,纳米层面的阻尼效应不可忽视。此外,在所采用的粘弹性模型的直接影响下,系统中得到的复频率的实虚分量之间存在明确的数学关系。在此背景下,该研究不仅在理论上,而且在实际应用方面为纳米机械系统的设计做出了重要贡献。
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引用次数: 0
Improving the structural performance of steel shear wall systems with four-layer flat-corrugated steel plates in construction engineering 提高四层扁平波纹钢板剪力墙体系在建筑工程中的结构性能
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-07 DOI: 10.1007/s10999-025-09807-y
Shanwei Zhang

The current paper investigates the lateral performance of four-layer steel shear walls (SSW) encompassing embedded trapezoidal double-corrugated plates surrounded by flat steel plates. To this end, a one-story and single-span steel frame infilled with four-layer flat-corrugated steel plates, called flat-corrugated steel shear walls (FCSSWs), has been reviewed under lateral loading in the finite element ABAQUS software. Moreover, the lateral performance of flat SSWs (FSSWs), ordinary corrugated steel shear walls (CSSWs), and double-corrugated steel shear walls (DCSSWs) is investigated for comparison. Plate thickness and corrugation angle of the corrugated plates are two parameters. The findings showed that the FCSSWs demonstrate greater maximum strength, energy dissipation, and initial stiffness than other steel shear walls. The difference between the maximum strength of the FCSSWs and FSSWs varies between 6.1% and 13.3%. Also, the initial stiffness of the FCSSWs is at least 16.9% and a maximum of 47.7% more than that of FSSWs. Also, the maximum difference in the highest strength and initial stiffness of FCSSWs with DCSSWs is 16.3% and 12.6%, respectively. The findings showed that FCSSWs have shown increasing load-bearing capacity until the maximum allowable drift angle. CSSWs and DCSSWs may experience strength loss after plate buckling before the ultimate state.

本文研究了四层钢剪力墙(SSW)的横向性能,其中包括嵌入的梯形双波纹板和扁平钢板。为此,在ABAQUS有限元软件中对一种单层单跨钢框架进行了横向荷载下的分析,该框架内填充了四层扁平波纹钢板,称为扁平波纹钢剪力墙(FCSSWs)。此外,还研究了扁平钢结构剪力墙(FSSWs)、普通波纹钢剪力墙(CSSWs)和双波纹钢剪力墙(DCSSWs)的横向性能进行比较。板厚和波纹板的波纹角是两个参数。研究结果表明,与其他钢剪力墙相比,fcssw具有更高的最大强度、能量耗散和初始刚度。fcssw的最大强度与fssw的最大强度相差6.1% ~ 13.3%。与fssw相比,fssw的初始刚度至少增加16.9%,最大增加47.7%。fcssw的最高强度和初始刚度与dcssw的最大差异分别为16.3%和12.6%。结果表明,在最大允许偏航角之前,fcssw的承载能力一直在增加。cssw和dcssw在板屈曲后达到极限状态前可能出现强度损失。
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引用次数: 0
Static bending, buckling and vibration analysis of piezoelectric fluid-infiltrated porous metal foam nanosheet taking into account surface and flexoelectric effects 考虑表面和挠曲电效应的压电流体渗透多孔金属泡沫纳米片的静态弯曲、屈曲和振动分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-05 DOI: 10.1007/s10999-025-09788-y
Nhan Thinh Hoang, Pham Hoang Tu, Van Ke Tran, Thu Huong Nguyen Thi

The main goal of this paper is to present the free oscillation, static bending, and buckling of piezoelectric fluid-infiltrated porous metal foam (FPMF) nanosheet resting on Pasternak medium taking into account to flexoelectric and surface elasticity effects. The piezoelectric FPMF nanosheets are rested on Pasternak medium. The nonlocal strain gradient model in conjunction with refined higher-order shear deformation plate theory (rHSDT) and Hamilton’s variational principle derive the motion equations of piezoelectric FPMF nanosheet. The highlights of this study is that the two nonlocal and length-scale coefficients are variable along thickness like material characteristics. The equations of motion were solved through Navier’s method, from which the responses of displacement, stress, natural frequency and critical buckling load were extracted. The accuracy of the proposed method is verified through reliable publications. The outcome of this study reveals the significant effects of the nonlocal and length-scale parameters on the vibration, static bending, and buckling behaviors of piezoelectric FPMF nanosheets. The results of this study are a unique combination of size dependent effects, surface effects and flexoelectric effects, thus it will shed some light on the understanding of electromechanical behaviors at the nanometer scale.

本文的主要目的是研究考虑挠曲电效应和表面弹性效应的压电流体渗透多孔金属泡沫(FPMF)纳米片在帕斯捷尔纳克介质上的自由振荡、静态弯曲和屈曲。压电FPMF纳米片放置在帕斯捷尔纳克介质上。结合精细化高阶剪切变形板理论(rHSDT)和Hamilton变分原理,建立了非局部应变梯度模型,推导了压电FPMF纳米片的运动方程。本研究的重点是两个非局部和长度尺度系数是沿厚度变化的材料特性。采用Navier法求解运动方程,从中提取位移、应力、固有频率和临界屈曲载荷的响应。通过可靠的出版物验证了所提出方法的准确性。本研究结果揭示了非局部和长度尺度参数对压电FPMF纳米片的振动、静态弯曲和屈曲行为的显著影响。本研究的结果是尺寸依赖效应、表面效应和柔性电效应的独特结合,因此它将有助于在纳米尺度上理解机电行为。
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引用次数: 0
A continuum model for micro-particle reinforced metal matrix composites with particle size, matrix damage and interface debonding effects 考虑颗粒尺寸、基体损伤和界面脱粘效应的微颗粒增强金属基复合材料连续统模型
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-03 DOI: 10.1007/s10999-025-09805-0
Haoxuan Ban

Many experiments have shown that micro-particle reinforced metal matrix composites (MPMMCs) display a strong particle size effect on mechanical behavior. Meanwhile, the stress concentration near the particle phase leads to matrix damage and interface debonding for composites in service. In this research, a modified conventional theory of mechanism-based strain gradient plasticity (CMSG) considering the damage effect, and a cohesive zone model are used to predict the mechanical behaviors of MPMMCs. The particle size effect and matrix damage behavior are characterized by modified CMSG while the interface debonding is controlled by the cohesive zone model. Details about the local distributions of strain, strain gradient and stress fields have been captured. An interesting phenomenon is found that matrix damage enhances the strain and strain gradient of the matrix, but interface debonding does the opposite. Both the interface debonding and matrix damage weakened the strength of composites. As a result, the numerical predictions agree well with both uniaxial tension and compression experiments. Furthermore, this work finds interface debonding takes the dominant role of damage mechanisms in uniaxial tension cases. However, matrix damage is dominated in compression cases. The present research should provide a comprehensive understanding of the mechanical behaviors of MPMMCs in service, which is also helpful for optimal designs of such advanced composites.

大量实验表明,微颗粒增强金属基复合材料(MPMMCs)的力学性能表现出强烈的粒径效应。同时,颗粒相附近的应力集中导致复合材料在使用过程中基体损伤和界面脱落。本文采用考虑损伤效应的基于机制的应变梯度塑性修正理论和内聚区模型来预测复合材料的力学行为。采用改进的CMSG模型对颗粒尺寸效应和基体损伤行为进行了表征,界面脱粘由内聚区模型控制。详细的局部分布的应变,应变梯度和应力场已被捕获。一个有趣的现象是,基体损伤增强了基体的应变和应变梯度,而界面脱粘则相反。界面脱粘和基体损伤均使复合材料的强度降低。结果表明,数值预测结果与单轴拉伸和压缩实验结果吻合较好。此外,本工作发现界面脱粘在单轴拉伸情况下的损伤机制中起主导作用。然而,在压缩情况下,基体损伤占主导地位。本文的研究有助于全面了解复合材料的力学行为,为其优化设计提供依据。
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引用次数: 0
Wave propagation in laminated structure through wave finite element method 用波有限元法研究层合结构中的波传播
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-03 DOI: 10.1007/s10999-025-09806-z
Henia Arfa, Faker Bouchoucha, Hayet Debbich, Khalil Aouadi, Yamen Ben Ammar, Corinne Nouveau

In this paper, the wave finite element (WFE) method is briefly presented and applied in order to extract the dispersion curves. The formulation of the laminated structure is detailed through the Timoshenko theory. The finite element technique is used to model the laminated beam and extract the mass and stiffness matrices for the bending vibration. The bending vibration of the laminated beam is simulated and discussed. The travelling and evanescent modes are illustrated to characterize the flexural wave propagation in laminated structure. The resolution of the equilibrium equation leads to the extraction of the analytical wave number as a function of the frequency in order to validate the dispersion curves simulated through the WFE method. The question of the influence of the layers thickness on the wave propagation is detailed. An uncertainty is introduced in the thickness as a Gaussian variable and the mean and the standard deviation of the dispersion curves are extracted through the Monte Carlo simulation. Among the contributions of this article, the laminated structures are modeled through the Abaqus software and the mass and stiffness matrices are extracted for the multimodal propagation. The multimodal wave number is presented and discussed for the travelling and evanescent modes.

本文简要介绍了波浪有限元法(WFE),并将其应用于色散曲线的提取。通过Timoshenko理论详细阐述了层合结构的形成。采用有限元技术对层合梁进行了建模,提取了层合梁弯曲振动的质量和刚度矩阵。对叠合梁的弯曲振动进行了模拟和讨论。用行模态和倏逝模态描述了弯曲波在层合结构中的传播特性。平衡方程的解析导致了解析波数作为频率的函数的提取,以验证通过WFE方法模拟的色散曲线。详细讨论了层厚对波传播的影响问题。在厚度中引入不确定性作为高斯变量,并通过蒙特卡罗模拟提取了色散曲线的均值和标准差。在本文的贡献中,通过Abaqus软件对层合结构进行建模,并提取质量和刚度矩阵进行多模态传播。给出并讨论了行模和倏逝模的多模态波数。
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引用次数: 0
Optimization of shape memory origami structures: modeling, simulation, and 4D printing 形状记忆折纸结构的优化:建模、仿真和4D打印
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-06-29 DOI: 10.1007/s10999-025-09793-1
Guilherme Ferreira Gomes, Gustavo Julião Benedito, Kouider Bendine

Origami, the ancient Japanese art of paper folding, has evolved beyond its cultural origins to inspire innovations in engineering and design. By transforming a simple sheet of paper into complex three-dimensional structures, origami offers solutions where flexibility and structural efficiency are paramount. This work explores the application of these principles in origami structures, focusing on their development and optimization using shape memory materials and 4D printing. The study highlights the Miura-ori and Triangular Cylindrical Origami structures, both renowned for their mechanical properties and adaptability, making them ideal for various applications in mechanical engineering, aerospace engineering, robotics, and biomedicine. Using finite element numerical modeling, these structures were parameterized for optimization. A multi-objective optimization approach was adopted, aiming to reduce mass and internal stresses while maximizing material strength and efficiency. Graded structures were introduced, varying their geometric characteristics throughout the volume to explore optimized distributions of material and mechanical properties in response to loads. These variants represent a significant advancement in customizing functional properties, enabling structures to meet specific performance requirements with even greater precision. The optimization algorithms employed include particle swarm optimization, genetic algorithms, and the Sunflower algorithm, all applied to refine structural parameters and identify the best solutions in multi-objective optimization. This study also underscores the emerging importance of shape memory materials in additive manufacturing, particularly for applications that benefit from inherent structural adaptability. The integration of graded origami structures with advanced material technologies represents a promising frontier for future innovations in engineering and design, with the potential to revolutionize how functional structures are conceived and implemented across various fields. Quantitatively, the study achieved a hypervolume of 0.88 using the MOPSO algorithm for mass minimization, indicating a broad and effective search for optimal solutions. Additionally, experimental results demonstrated a 99.3% height recovery in the Miura-ori structure after deformation and heating, confirming the robustness and applicability of these structures in real-world scenarios.

折纸是一种古老的日本折纸艺术,它已经超越了它的文化起源,激发了工程和设计方面的创新。通过将一张简单的纸转换成复杂的三维结构,折纸提供了灵活性和结构效率至关重要的解决方案。这项工作探讨了这些原则在折纸结构中的应用,重点是使用形状记忆材料和4D打印进行开发和优化。该研究强调了Miura-ori和三角形圆柱形折纸结构,两者都以其机械性能和适应性而闻名,使其成为机械工程,航空航天工程,机器人和生物医学等各种应用的理想选择。采用有限元数值模拟方法,对这些结构进行参数化优化。采用了多目标优化方法,旨在减少质量和内应力,同时最大限度地提高材料的强度和效率。引入了梯度结构,在整个体积中改变其几何特征,以探索响应载荷的材料和机械性能的优化分布。这些变体代表了自定义功能属性方面的重大进步,使结构能够以更高的精度满足特定的性能要求。所采用的优化算法包括粒子群算法、遗传算法和向日葵算法,这些算法都用于优化结构参数并识别多目标优化中的最佳解。这项研究还强调了形状记忆材料在增材制造中的重要性,特别是对于受益于固有结构适应性的应用。层叠折纸结构与先进材料技术的结合代表了未来工程和设计创新的一个有前途的前沿,具有革命性的功能结构在各个领域的构想和实施方式。在数量上,本研究使用MOPSO算法实现了0.88的超体积,表明对最优解的广泛而有效的搜索。此外,实验结果表明,变形和加热后,Miura-ori结构的高度恢复率为99.3%,证实了这些结构在现实场景中的鲁棒性和适用性。
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引用次数: 0
Buckling-constrained topology optimization of multi-phase materials via iso-geometric analysis 基于等几何分析的多相材料屈曲约束拓扑优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-06-25 DOI: 10.1007/s10999-025-09784-2
Ning Gan, Jiayuan Kan, Bo Sun

Structural optimization has emerged as a fundamental pillar of modern engineering design, propelled by the imperative to augment structural performance while minimizing material consumption and weight. While topology optimization (TO) has demonstrated efficacy in fulfilling stiffness and dynamic requisites, extant methods reveal substantial lacunae in concurrently handling multi-material designs and buckling constraints, particularly when geometric fidelity and stability are of paramount significance. Although prior investigations have independently advanced iso-geometric analysis (IGA), multi-phase TO, and buckling-aware optimization, their isolated evolution gives rise to unresolved predicaments in circumstances demanding unified geometric resolution, material hybridization, and compressive stability. To bridge this chasm, this study proffers an integrated framework that synergizes a novel buckling-constrained topology optimization framework for multi-phase materials, integrating Iso-geometric Analysis (IGA) to enhance computational accuracy and geometric representation. This unified methodology addresses a critical constraint in conventional TO–the incapacity to co-optimize geometric precision, material heterogeneity, and stability constraints–enabling lightweight designs with assured manufacturability and resistance to failure under compression. The proposed approach harnesses the high-order continuity and precise geometry modeling capabilities of IGA to optimize material distribution while ensuring structural stability under compression. By incorporating critical buckling load constraints alongside compliance minimization, the framework achieves an optimal balance between stiffness, stability, and material efficiency. Numerical case studies validate the effectiveness of the proposed method, demonstrating significant improvements in buckling resistance, structural efficiency, and manufacturability. The results highlight the potential of IGA-based topology optimization in advancing stability-driven structural design, particularly for multi-phase material systems.

结构优化已成为现代工程设计的基本支柱,在提高结构性能的同时最大限度地减少材料消耗和重量。虽然拓扑优化(TO)在满足刚度和动态要求方面已经证明了有效性,但现有的方法在同时处理多材料设计和屈曲约束方面存在很大的缺陷,特别是在几何保真度和稳定性至关重要的情况下。尽管先前的研究已经独立地推进了等几何分析(IGA)、多相TO和屈曲感知优化,但它们的孤立演化在需要统一几何分辨率、材料杂交和压缩稳定性的情况下产生了未解决的困境。为了弥合这一差距,本研究提供了一个集成框架,该框架协同了一种新的多相材料屈曲约束拓扑优化框架,集成了等几何分析(IGA)以提高计算精度和几何表征。这种统一的方法解决了传统to的一个关键限制,即无法共同优化几何精度、材料异质性和稳定性限制,从而实现轻量化设计,同时确保可制造性和抗压缩失效性。所提出的方法利用IGA的高阶连续性和精确的几何建模能力来优化材料分布,同时确保结构在压缩下的稳定性。通过结合临界屈曲载荷约束和顺应性最小化,该框架实现了刚度、稳定性和材料效率之间的最佳平衡。数值实例研究验证了该方法的有效性,证明了该方法在抗屈曲、结构效率和可制造性方面的显著改善。结果强调了基于iga的拓扑优化在推进稳定性驱动结构设计方面的潜力,特别是对于多相材料系统。
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引用次数: 0
Thermoelectrical vibration and bending analysis of multidirectional functionally graded circular piezoelectric porous sigmoid plate resting on variable elastic foundations 变弹性基础上多向功能梯度圆形压电多孔乙状板热电振动及弯曲分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-06-23 DOI: 10.1007/s10999-025-09779-z
Pawan Kumar, Sontipee Aimmanee

This paper investigates the static bending deflection and vibration behavior of porous multidirectional functionally graded circular piezoelectric (MD-FGCP) plates resting on variable elastic foundations under thermoelectromechanical loading. The material properties of the MD-FGCP porous plate vary radially and through the thickness, following sigmoidal distributions, and account for both even and uneven porosity profiles. The plate consists of PZT-4 at the top and the PZT-5H at the bottom. The analysis employs modified first-order shear deformation theory (FSDT) with von Kármán nonlinear strains to derive the governing equations. The system is solved using an eight-node quadratic finite element (FE) formulation, ensuring high-order continuity and accurate geometric representation. The study explores the effects of various parameters, including radius-to-thickness ratio (R/h), porosity parameter (µ), bidirectional material exponents (n and m), boundary conditions, variable elastic foundation, thermal variations, and electrical loading. These factors significantly influence the static deflection, radial stress distribution, and natural frequencies of the plate. The solution approach is validated through convergence studies and comparison with existing literature. The findings highlight that variable elastic foundations and porosity distributions under thermoelectromechanical loading notably affect the static and dynamic responses of the MD-FGCP plate. This work provides valuable insights into the design and optimization of FGCP porous plate-based smart structures, with potential applications in MEMS, biomedical devices, and energy harvesting systems. The proposed approach offers a more accurate and efficient method for analyzing and designing these complex systems, leading to better performance and reliability in practical applications.

研究了变弹性地基上多孔多孔多向功能梯度圆形压电板在热机电载荷作用下的静态弯曲变形和振动特性。MD-FGCP多孔板的材料性能沿径向和厚度变化,遵循s形分布,并考虑均匀和不均匀的孔隙率剖面。该板由顶部的PZT-4和底部的PZT-5H组成。采用改进的一阶剪切变形理论(FSDT),结合von Kármán非线性应变导出控制方程。系统采用八节点二次有限元(FE)公式求解,保证了高阶连续性和精确的几何表示。该研究探讨了各种参数的影响,包括半径/厚度比(R/h)、孔隙率参数(µ)、双向材料指数(n和m)、边界条件、可变弹性基础、热变化和电载荷。这些因素显著影响板的静挠度、径向应力分布和固有频率。通过收敛研究和与现有文献的比较,验证了求解方法。研究结果表明,在热-机电载荷作用下,变弹性地基和孔隙率分布对MD-FGCP板的静态和动态响应有显著影响。这项工作为FGCP多孔板智能结构的设计和优化提供了有价值的见解,在MEMS、生物医学设备和能量收集系统中具有潜在的应用前景。该方法为这些复杂系统的分析和设计提供了一种更准确、更有效的方法,在实际应用中具有更好的性能和可靠性。
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引用次数: 0
Smart structural framework for energy harvesting using auxetic metamaterial-embedded flex-tensional piezoelectric bridges 超塑性材料嵌入挠张压电桥的能量收集智能结构框架
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-06-19 DOI: 10.1007/s10999-025-09794-0
Amit Pandey, Jitendra Adhikari, Diwakar Singh, Vikas Narain, Rajeev Kumar

This study investigates a novel energy harvesting approach using flex tensional piezoelectric bridge structures integrated with auxetic metamaterials. Auxetic structures, characterized by their unique negative Poisson’s ratio, offer a distinct advantage for energy harvesting applications by generating favourable strain distributions that enhance the output of piezoelectric materials. A finite element model is developed to analyse the electromechanical functionality of a bridge structure utilizing an auxetic substrate with PZT-5A piezoelectric material. Key geometric parameters, including cavity height, cavity length, thickness ratio, end cap thickness, and apex length, are optimized to maximize energy output while mitigating potential mechanical failures. The study's findings reveal significant improvements in energy harvesting efficiency due to the auxetic design, highlighting its potential for applications under dynamic loading conditions, such as in roadways, tiles and smart wearables. This research presents an extensive exploration of auxetic structures in piezoelectric energy harvesting, opening new pathways for smart, adaptive energy solutions.

本研究探讨了一种新型的能量收集方法,该方法采用弯曲张拉压电桥结构与形变超材料相结合。以其独特的负泊松比为特征的补充结构,通过产生有利的应变分布,增强压电材料的输出,为能量收集应用提供了明显的优势。建立了基于PZT-5A压电材料的桥梁结构机电功能分析的有限元模型。关键几何参数,包括空腔高度、空腔长度、厚度比、端盖厚度和顶点长度,都进行了优化,以最大限度地提高能量输出,同时减少潜在的机械故障。该研究结果显示,由于采用了消声设计,能量收集效率有了显著提高,突出了其在动态加载条件下的应用潜力,如道路、瓷砖和智能可穿戴设备。这项研究对压电能量收集中的消声结构进行了广泛的探索,为智能、自适应的能量解决方案开辟了新的途径。
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引用次数: 0
Effect of the hexachiral auxetic structure on the thermal buckling behaviour of the magneto electro elastic sandwich smart nano plate using nonlocal strain gradient elasticity 基于非局部应变梯度弹性的六手性形变结构对磁电弹性夹层智能纳米板热屈曲行为的影响
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-06-18 DOI: 10.1007/s10999-025-09777-1
Mehmet Tayyip Ozdemir, Turan Das, Ismail Esen

This study employs the high-order shear stress theorem and nonlocal strain gradient elasticity theory to foresee and evaluate the heating and buckling behavior of sandwich nanoplates featuring a hexachiral auxetic core layer and magneto-electro-elastic surface layers. This study examines the influence of electroelasticity and magnetostriction for the magnetic electroelastic surface layers, as well as the mechanical impacts on the hexachiral structure of the primary layer, to obtain the equations of motion for the sandwich nanoplate. Separate studies are performed to assess the influence of the core layer and the surface layers on the thermal buckling performance of sandwich smart nanoplates, with the findings of these analyses recorded. The analysis reveals that the auxetic structure in the core layer significantly influences the thermal buckling behavior inside the sandwich nanoplate. Furthermore, studies indicate that the buckling behavior of a sandwich nanoplate is considerably influenced by external electric and magnetic potentials applied to the surface layers. Generally, applying of an external electric potential induces a softening reaction in the surface layer of the sandwich nanoplate, thus reducing the buckling temperatures. Conversely, the magnetostrictive material on the surfaces induces a hardening effect contingent upon the introduction of a magnet outside, hence elevating the buckling temperatures.

本研究采用高阶剪应力定理和非局部应变梯度弹性理论,预测和评价了具有六手性缺失核心层和磁电弹性表面层的夹层纳米板的加热和屈曲行为。本研究考察了电弹性和磁致伸缩对磁性电弹性面层的影响,以及对初级层六面体结构的力学影响,得到了夹层纳米板的运动方程。分别进行了研究,以评估核心层和表面层对三明治智能纳米板热屈曲性能的影响,并记录了这些分析的结果。分析表明,芯层内的形变结构对夹层纳米板内部的热屈曲行为有显著影响。此外,研究表明,三明治纳米板的屈曲行为受到施加在其表层的外部电势和磁势的显著影响。一般情况下,施加外电势会在夹层纳米板的表层引起软化反应,从而降低屈曲温度。相反,表面上的磁致伸缩材料在外部引入磁铁时会产生硬化效应,从而提高屈曲温度。
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International Journal of Mechanics and Materials in Design
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