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Thermal buckling of organic nanobeams resting on viscous elastic foundation 有机纳米梁在粘性弹性基础上的热屈曲
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-20 DOI: 10.1016/j.euromechsol.2024.105455
Pham Van Lieu
This study presents an analytical solution for organic solar nanobeams by including the new high-order shear deformation theory and considering the impact of size effects using non-local elasticity theory. The beam is supported by a viscoelastic base and experiences thermal loads that are distributed in accordance with uniform and nonlinear principles. The calculation formulae are derived from the consideration of significant deformations in the beam, resulting in increased complexity of the calculations. The equilibrium equation is derived from the fundamental principle of maximum work potential. The explicit equation for the critical thermal load is derived, providing a convenient means for the calculation and analysis of the impacts of relevant factors. The critical thermal buckling load encompasses both real and imaginary components, with the real component corresponding to the thermal load responsible for inducing beam instability, and the imaginary component associated with the dissipation of this load. This consideration is particularly pertinent when accounting for the foundation resistance. This finding enhances the level of interest in the research outcomes. This study also examined the impact of certain characteristic factors of the foundation and organic beams on the thermal buckling behavior of the beam, establishing a scientific basis for practical design applications.
本研究通过采用新的高阶剪切变形理论,并利用非局部弹性理论考虑尺寸效应的影响,提出了有机太阳能纳米梁的分析解决方案。横梁由粘弹性基座支撑,并承受根据均匀和非线性原理分布的热负荷。计算公式是在考虑梁的显著变形后得出的,这增加了计算的复杂性。平衡方程是根据最大功势的基本原理推导出来的。临界热荷载的显式方程为计算和分析相关因素的影响提供了便利。临界热屈曲载荷包括实部和虚部,实部对应于引起梁失稳的热载荷,虚部则与该载荷的耗散有关。在计算地基阻力时,这一考虑尤为重要。这一发现提高了研究成果的关注度。这项研究还探讨了地基和有机梁的某些特征因素对梁的热屈曲行为的影响,为实际设计应用奠定了科学基础。
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引用次数: 0
Study on the energy absorption effect and impact resistance of a composite sandwich panel with carbon fiber reinforced re-entrant hexagonal honeycomb core with negative Poisson's ratio 负泊松比碳纤维增强再入六边形蜂窝芯复合夹层板的能量吸收效果和抗冲击性研究
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-20 DOI: 10.1016/j.euromechsol.2024.105447
Hao Liu , Dong Li
Negative Poisson's ratio (NPR) structures have excellent energy absorption and buffering properties, but they generally have disadvantage of low specific strength, which restricts their wide applications. Therefore, in this study, the carbon fiber reinforced Nylon material (Nylon 12CF) was prepared and used to construct re-entrant hexagonal honeycomb NPR structure. The reinforced (Nylon 12CF) and unreinforced (Nylon 12) specimens were fabricated by 3D printing technology and tested quasi-statically. Then, the quasi-static of the reinforced and unreinforced re-entrant NPR structure and the impact analysis of the composite sandwich panel (CSP) with re-entrant NPR carbon fiber reinforced core are carried out by finite element method. The results show that the NPR structure reinforced with carbon fiber has 112.5% higher failure stress and 113.9% higher energy absorption efficiency than the unreinforced structure. The finite element simulation results are in good agreement with the experimental results. Under the impact load of a 5 kg object with different initial velocities, the maximum of the displacement of the back face sheet's center point of the CSP with reinforced NPR core is smaller than that of CSP with unreinforced NPR core, especially when the impact velocity is 20 m/s. At different initial impact velocities, the CSP of the reinforced NPR structure core all showed high impact resistance, which was about 1.4 times that of the unreinforced NPR structure core. This research provides new ideas for designing more efficient energy-absorbing and impact-resistant structures.
负泊松比(NPR)结构具有优异的能量吸收和缓冲性能,但普遍存在比强度低的缺点,限制了其广泛应用。因此,本研究制备了碳纤维增强尼龙材料(尼龙 12CF),并将其用于构建再入六边形蜂窝 NPR 结构。通过三维打印技术制作了增强型(尼龙 12CF)和非增强型(尼龙 12)试样,并进行了准静态测试。然后,采用有限元法对增强型和非增强型再入式 NPR 结构进行了准静态测试,并对带有再入式 NPR 碳纤维增强芯材的复合材料夹芯板(CSP)进行了冲击分析。结果表明,使用碳纤维增强的 NPR 结构比未增强结构的破坏应力高 112.5%,能量吸收效率高 113.9%。有限元模拟结果与实验结果十分吻合。在不同初速度的 5 kg 重物冲击载荷下,增强 NPR 内核的 CSP 背板中心点位移的最大值小于未增强 NPR 内核的 CSP,尤其是当冲击速度为 20 m/s 时。在不同的初始冲击速度下,强化 NPR 结构芯材的 CSP 均表现出较高的抗冲击性,约为未强化 NPR 结构芯材的 1.4 倍。这项研究为设计更高效的吸能抗冲击结构提供了新思路。
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引用次数: 0
Multi-helix buckling of a slender compression rod constrained by a cylinder 受圆柱体约束的细长压缩杆的多螺旋屈曲
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-20 DOI: 10.1016/j.euromechsol.2024.105456
Qiang Zhang , Dong Zhao , Wei Li , Yu Zhang , Shuai Zhao
As early as the mid-18th century, Euler proposed a critical load formula for compression rods with multiple half-sine wave modes. However, a critical load formula for compression rods constrained by cylinders with multi-helix buckling modes has not yet been proposed. In this paper, a mechanical model of multi-helix buckling of a slender compression constrained by a cylinder is established. Utilizing the dynamic relaxation method, a finite element solution strategy is presented. Its notable advantage lies in its capability to compute stable configurations of multiple helical buckling, effectively addressing challenges such as contact identification and convergence issues during computation. Furthermore, parameter analysis quantifies the influence of length, diameter, and annular gap on the critical load, while also analyzes the shear force, bending moment, and contact force after buckling. This paper presents formulas for the critical load of multi-helix buckling and the length of the multi-helix buckling modes, which is suitable for various length, diameter, and annular space gap conditions, and partially validates these results against finite element analysis.
早在 18 世纪中叶,欧拉就提出了具有多种半正弦波模式的压缩杆临界载荷公式。然而,对于具有多螺旋屈曲模式的圆柱体约束压缩杆,尚未提出临界载荷公式。本文建立了一个由圆柱体约束的细长压缩杆的多螺旋屈曲力学模型。利用动态松弛法,提出了一种有限元求解策略。其显著优势在于能够计算多螺旋屈曲的稳定配置,有效解决了计算过程中的接触识别和收敛问题等难题。此外,参数分析量化了长度、直径和环形间隙对临界载荷的影响,同时还分析了屈曲后的剪力、弯矩和接触力。本文提出了适用于各种长度、直径和环形空间间隙条件的多螺旋屈曲临界载荷和多螺旋屈曲模式长度公式,并根据有限元分析对这些结果进行了部分验证。
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引用次数: 0
Combined extension and torsion of hydrogels with chemo-mechanical coupling: Revealing positive poynting effect 具有化学机械耦合作用的水凝胶的联合延伸和扭转:揭示正波因特效应
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-19 DOI: 10.1016/j.euromechsol.2024.105453
Chengxiang Zheng , Minghui Hu , Wenyi Wang , Qian Li , Pasquale Ciarletta , Tao Wu , Zichen Deng
In this paper, combined extension and torsion of hydrogel subject to a chemo-mechanical coupled loading is described in the framework of continuum mechanics, where the free energy density consists of the elastic, mixing and chemical contributions. A simplified, closed-form and exactly analytical solution to the mechanical response is obtained, which accounts for the coupling effect of external loading, chemical potential and microstructural parameters, such as crosslinking degree, Flory-Huggins parameter, etc. In particular, the effect of free swelling and microscopic diffusion on deformation of the hydrogel at equilibrium state is discussed, reaching some fundamental conclusions. Negative axial forces are captured, revealing the typical positive Poynting effect where the cylinder tends to elongate on twisting, and an inhomogeneous deformation, induced by torsion, along the radial direction is demonstrated. Furthermore, the dynamic competition between external loading and solvent environment is revealed and investigated, where the direct connection between internal micro-physical parameters and macroscopic deformation is demonstrated. The theoretical results presented in this paper may provide predictions and guidance for the mechanical analysis and design of hydrogel cylinder subject to extension and torsion in a solvent.
本文在连续介质力学框架下描述了水凝胶在化学-机械耦合载荷作用下的拉伸和扭转,其中自由能密度由弹性、混合和化学贡献组成。研究获得了机械响应的简化闭式精确解析解,其中考虑了外部负载、化学势和微结构参数(如交联度、Flory-Huggins 参数等)的耦合效应。特别是讨论了自由膨胀和微观扩散对平衡状态下水凝胶变形的影响,得出了一些基本结论。研究捕捉到了负轴向力,揭示了典型的正波因特效应,即圆柱体在扭曲时趋于伸长,并证明了由扭转引起的沿径向的不均匀变形。此外,本文还揭示并研究了外部载荷与溶剂环境之间的动态竞争,证明了内部微观物理参数与宏观变形之间的直接联系。本文提出的理论结果可为在溶剂中受到拉伸和扭转的水凝胶圆柱体的力学分析和设计提供预测和指导。
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引用次数: 0
Rapid assessment of seismic performance of large monopile-supported offshore wind turbines under scour 冲刷情况下大型单桩支撑海上风力涡轮机抗震性能的快速评估
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-18 DOI: 10.1016/j.euromechsol.2024.105451
Baran Bozyigit , Irem Bozyigit , Luke J. Prendergast
<div><div>This study focuses on investigating the seismic performance of a reference 15 MW offshore wind turbine (OWT) supported by a large-diameter monopile, under various scour conditions. Fully coupled nonlinear finite element models considering 3D soil continuum for seismic response analysis of monopile-supported OWTs are very complicated and computationally expensive. Therefore, it is important to have good insight on the dynamic behaviour of monopile-supported OWTs subjected to earthquake excitations before performing high-fidelity fully nonlinear 3D simulations, which will not generally be practical in cases considering various seismic loading and scouring scenarios. The purpose of this study is to provide a fast and efficient tool to understand the interaction between the seismic behaviour of emerging large-capacity OWTs when scour erosion affects the dynamic properties of the structure. The dynamic stiffness method (DSM) is applied for the free vibration analysis of the structure. Modal superposition is used to calculate the seismic responses of the OWT by using the exact mode shapes obtained from the dynamic stiffness formulations. The rotor-nacelle-assembly (RNA) is idealized as a lumped mass at the tower top. The tower and monopile are modelled as Timoshenko beam-columns under axial compressive loading. The soil-structure interaction (SSI) is modelled using the Winkler framework, whereby the soil contribution is assumed as elastic to take advantage of the modal superposition method. Two different approaches are considered for the soil stiffness; a constant profile, and a linearly-varying subgrade modulus along the embedded depth of the pile, and both are appraised in this paper. Firstly, natural frequencies obtained from dynamic stiffness formulations are validated using experimental data from literature for the case of controlled dynamic SSI experiments, and for operating OWTs. Additionally, the natural frequency provided by a technical document for the reference 15 MW OWT is compared to the result from the DSM, where a very good agreement is observed. The seismic response time-histories of the OWT model are obtained under different input earthquake conditions, and subsequently verified by comparison with the results of finite element simulations. The effects of different scour scenarios and foundation modelling approaches on the free vibration and seismic responses are subsequently investigated. A parametric analysis is also performed using different soil properties to observe the interaction between the soil stiffness, scour condition, and seismic response. Finally, the influence of the frequency content of seismic records on the dynamic response of the OWT, specifically the tower top acceleration, the mudline rotation, and the mudline stress, is investigated considering various scour scenarios. The specific numerical case study undertaken for a reference 15 MW OWT, which is supported by a large monopile in very dense sand, shows t
本研究的重点是研究由大直径单桩支撑的 15 兆瓦海上风力涡轮机(OWT)在各种冲刷条件下的抗震性能。考虑到三维土壤连续性的全耦合非线性有限元模型用于单桩支撑 OWT 的地震响应分析非常复杂,计算成本高昂。因此,在进行高保真全非线性三维模拟之前,必须深入了解单桩支撑 OWT 在地震激励下的动态行为,而在考虑各种地震荷载和冲刷情况时,全非线性三维模拟通常并不实用。本研究的目的是提供一种快速、高效的工具,以了解当冲刷侵蚀影响结构的动态特性时,新兴大容量 OWT 地震行为之间的相互作用。研究采用动态刚度法(DSM)对结构进行自由振动分析。利用从动态刚度公式中获得的精确模态振型,采用模态叠加法计算 OWT 的地震响应。转子-机舱-组件(RNA)被理想化为塔顶的块状质量。塔架和单桩被模拟为承受轴向压缩荷载的季莫申科梁柱。土-结构相互作用(SSI)采用温克勒框架建模,假定土壤具有弹性,以利用模态叠加法。本文考虑了两种不同的土壤刚度方法:恒定剖面和沿桩嵌入深度线性变化的基层模量,并对这两种方法进行了评估。首先,利用文献中关于受控动态 SSI 实验和运行中的 OWT 的实验数据,对动态刚度计算得出的固有频率进行了验证。此外,还将参考文献中提供的 15 兆瓦 OWT 的固有频率与 DSM 得出的结果进行了比较,结果表明两者非常吻合。在不同的输入地震条件下,获得了 OWT 模型的地震响应时间序列,随后通过与有限元模拟结果的比较进行了验证。随后研究了不同冲刷情况和地基建模方法对自由振动和地震响应的影响。还利用不同的土壤特性进行了参数分析,以观察土壤刚度、冲刷条件和地震响应之间的相互作用。最后,考虑到各种冲刷情况,研究了地震记录的频率含量对 OWT 动态响应的影响,特别是塔顶加速度、泥线旋转和泥线应力。针对由大型单桩支撑的 15 兆瓦 OWT 进行的具体数值案例研究表明,地震响应非常有限,弹性土壤行为假设是合理的。此外,考虑到计算效率,所提出的 DSM 与模态叠加相结合的方法可用于在初步设计阶段对大直径单桩支撑的 OWT 进行快速地震性能评估,以深入了解整个振动系统的全局动态响应。
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引用次数: 0
Localization of shear waves in cubic piezoelectric structure stratified with periodically arranged metallized interfaces 剪切波在具有周期性排列金属化界面的立方体分层压电结构中的定位
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-18 DOI: 10.1016/j.euromechsol.2024.105448
K. Ghazaryan , D. Piliposyan , S. Jilavyan , G. Piliposian
Electro-elastic guided waves in a supperlattice waveguide with a finite number of unit cells made of cubic piezoelectric material and subjected to coupled elastic anti-plane deformation and in-plane electric field are studied. Shear wave localization is discussed in a structure consisting of layers made of the same piezoelectric material of cubic symmetry, separated by periodically arranged metalized electrodes inserted parallel to the waveguide faces. It is shown that due to electrodes screening the quasistatic electric field shear elastic wave localization occurs if the electrodes are placed non-uniformly within the unit cell of the waveguide. In a finite thickness waveguide localization takes place only at some forbidden frequencies within an infinite waveguide band gaps. Localization of waves in semi-infinite waveguide is also considered. The results of the paper can be used in designing narrow band filters or multi-channel piezoelectric filters.
研究了由立方压电材料制成的具有有限单元格的辅助晶格波导中的电弹性导波,该波导受到耦合弹性反平面变形和平面内电场的影响。研究讨论了由立方对称的相同压电材料层组成的结构中的剪切波局部化问题,该结构由平行于波导面插入的周期性排列的金属化电极分隔。研究表明,由于电极屏蔽了准静态电场,如果电极不均匀地放置在波导的单元格内,就会产生剪切弹性波局部化。在有限厚度的波导中,局部化只发生在无限波导带隙内的某些禁止频率上。本文还考虑了半无限波导中波的局域化问题。本文的结果可用于设计窄带滤波器或多通道压电滤波器。
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引用次数: 0
Methodology for the thermoelastic stress analysis of complex biomimetic structures: An alligator mandible case study 复杂仿生结构的热弹性应力分析方法:鳄鱼下颌骨案例研究
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-18 DOI: 10.1016/j.euromechsol.2024.105450
Joshua Rodrigues , Raj Das , Simon Barter , Matthew Pelosi , Wayne Foster
Biomimetic designs that take inspiration from natural structures provide a unique approach to identifying innovative solutions to engineering problems. The experimental analysis of such structures, however, can be difficult due to complex, three-dimensional geometric features. This study presents a methodology for the analysis of complex biomimetic structures using thermoelastic stress analysis (TSA) illustrated through an alligator mandible case study. This structure has evolved to become optimal for its function and environment which has resulted in unique and intricate features. An additively manufactured alligator mandible structure was experimentally analysed using TSA under bending load conditions and compared to a finite element (FE) solution. TSA was found to be a suitable method for the qualitative and quantitative analysis of the complex biomimetic structure which correlated well with the FE model. This study demonstrates the accuracy of TSA for the assessment of biomimetic designs with unique, arbitrary geometric features that can be utilised for future nature-inspired engineering applications.
从自然结构中汲取灵感的仿生设计为确定工程问题的创新解决方案提供了一种独特的方法。然而,由于复杂的三维几何特征,对这类结构进行实验分析非常困难。本研究通过鳄鱼下颌骨的案例研究,介绍了一种利用热弹性应力分析(TSA)分析复杂仿生结构的方法。该结构在进化过程中不断优化,以适应其功能和环境,从而形成了独特而复杂的特征。在弯曲载荷条件下,使用 TSA 对添加制造的鳄鱼下颌骨结构进行了实验分析,并与有限元(FE)解决方案进行了比较。结果发现,TSA 是对复杂的仿生结构进行定性和定量分析的合适方法,与有限元模型的相关性很好。这项研究证明了 TSA 在评估具有独特、任意几何特征的仿生物设计方面的准确性,可用于未来的自然启发工程应用。
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引用次数: 0
Multiphysics analysis of mechanical responses in micro-reactors under varied operating conditions 不同操作条件下微型反应器机械响应的多物理场分析
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-18 DOI: 10.1016/j.euromechsol.2024.105452
M. Anjum , T. Gibson , G.T. Craven , S. Tretiak , A. Abdelkefi
Micro-reactors are a promising alternative for power production applications where traditional methods may not be feasible (e.g., space missions). Their design requires critical selection of materials, especially for moderator and fuel, to ensure long-term operation and optimal performance. This research focuses on developing computational analysis models for micro-reactors, aiming to explore their structural behavior under thermal and mechanical loadings. The micro-reactor model is based on the Zero Energy Breeder Reactor Assembly (Zebra) Kilowatt (kW) reactor design conceptualized at Los Alamos National Laboratory. This study investigates the thermal and mechanical responses of three distinct reactor models considering factors, such as boundary conditions, material properties, and thermal-mechanical loading. In this study, Beryllium Oxide (BeO), Beryllium (Be), Aluminum Oxide (Al2O3), and Magnesium Oxide (MgO) are chosen as materials for the reflector. Yttrium Hydride (YH) and Zirconium Hydride (ZH) are chosen as moderators. Uranium Nitride (UN) and Uranium Molybdenum (UMo) are chosen as reactor fuel materials. The thermal analysis predicts the deformation due to the thermal expansion within the reactor under steady operating conditions at 25 kWth, mimicking the maximum rated power of the Zebra kW design. The mechanical study simulates the system's response to forced vibration loads applied along the cooling channels, matching the natural frequency of the system. The results from both analyses show that Beryllium Oxide, Yttrium Hydride, and Uranium Nitride demonstrate the most optimal stress distribution in the system compared to other configurations investigated here. The results of this study can be developed into datasets to facilitate future machine learning studies, enabling the prediction of mechanical and thermal responses for micro-reactors.
对于传统方法可能不可行的发电应用领域(如太空任务),微型反应堆是一种很有前途的替代方法。它们的设计需要对材料,尤其是慢化剂和燃料的材料进行严格选择,以确保长期运行和最佳性能。本研究的重点是开发微型反应堆的计算分析模型,旨在探索其在热负荷和机械负荷下的结构行为。微型反应堆模型基于洛斯阿拉莫斯国家实验室构想的零能耗增殖反应堆组件(斑马)千瓦(kW)反应堆设计。考虑到边界条件、材料特性和热机械负载等因素,本研究对三种不同反应堆模型的热响应和机械响应进行了调查。本研究选择氧化铍 (BeO)、铍 (Be)、氧化铝 (Al2O3) 和氧化镁 (MgO) 作为反射器的材料。选择氢化钇(YH)和氢化锆(ZH)作为缓和剂。氮化铀(UN)和钼铀(UMo)被选为反应堆燃料材料。热分析预测了反应堆在 25 kWth 的稳定运行条件下由于热膨胀而产生的变形,模拟了斑马千瓦设计的最大额定功率。机械研究模拟了系统对沿冷却通道施加的强制振动负载的响应,与系统的固有频率相匹配。这两项分析的结果表明,与本文研究的其他配置相比,氧化铍、氢化钇和氮化铀在系统中的应力分布最为理想。这项研究的结果可以开发成数据集,以促进未来的机器学习研究,从而预测微型反应器的机械和热响应。
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引用次数: 0
Dynamic response of novel sandwich structures with 3D sinusoid-parallel-hybrid honeycomb auxetic cores: The cores based on negative Poisson's ratio of elastic jump 带有三维正弦-平行-混合蜂窝辅助芯材的新型夹层结构的动态响应:基于负泊松比弹性跳跃的芯材
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-16 DOI: 10.1016/j.euromechsol.2024.105449
Yang Yu, Tao Fu, Sen Wang, Chao Yang

The design of three-dimensional (3D) honeycomb structure has been widely concerned in recent years. In this paper, the traditional hexagonal honeycomb structure and the concave circular-arc honeycomb structure were combined by the parallel method, and a 3D sinusoid-parallel-hybrid honeycomb (SPHH) structure based on the negative Poisson's ratio of elastic jump was designed. The mechanical analysis of the 3D honeycomb structure was conducted through the utilization of the finite element modeling (FEM) in conjunction with an experimental platform, and the study focused on analyzing the dynamic response of honeycomb sandwich panels subjected to low-speed impacts. The experimental results agreed well with the FEM results. By comparing the concave-parallel-hybrid honeycomb (CPHH) structure, the arc-parallel-hybrid honeycomb (APHH) structure, the SPHH structure has better mechanical properties, and the SPHH sandwich panel has better energy absorption and impact resistance characteristics. The energy absorption properties and shock resistance of the SPHH sandwich panels can be improved by adding the parameter t3 and honeycomb cell filling, and the rigidity of the SPHH panel can be improved better. At a shock load of 10 J, the increase of arc radius R doesn't obviously influence for dynamic response of the SPHH panel structure, but at a shock load of 25 J, different arc radius significantly affects the energy absorption and shock resistance properties of the SPHH sandwich panels. It can improve the energy absorption characteristics and shock resistance by increasing the arc radius of the SPHH honeycomb cell.

近年来,三维(3D)蜂窝结构的设计受到广泛关注。本文采用平行法将传统的六边形蜂窝结构与凹面圆弧形蜂窝结构相结合,设计了一种基于负泊松比弹性跳跃的三维正弦-平行-混合蜂窝(SPHH)结构。通过利用有限元建模(FEM)结合实验平台对三维蜂窝结构进行了力学分析,研究重点是分析蜂窝夹层板在受到低速冲击时的动态响应。实验结果与 FEM 结果吻合良好。通过比较凹面-平行-混合蜂窝(CPHH)结构和弧面-平行-混合蜂窝(APHH)结构,SPHH 结构具有更好的力学性能,SPHH 夹层板具有更好的能量吸收和抗冲击特性。通过添加参数 t3 和蜂窝单元填充物,可以提高 SPHH 夹层板的能量吸收性能和抗冲击性能,并能更好地提高 SPHH 夹层板的刚度。在冲击载荷为 10 J 时,圆弧半径 R 的增加对 SPHH 面板结构的动态响应没有明显影响,但在冲击载荷为 25 J 时,不同的圆弧半径对 SPHH 夹层面板的能量吸收和抗冲击性能有明显影响。通过增大 SPHH 蜂窝单元的圆弧半径,可以改善能量吸收特性和抗冲击性能。
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引用次数: 0
Semi-analytical layerwise solutions for FG MEE complex shell structures FG MEE 复杂壳体结构的半解析分层解法
IF 4.4 2区 工程技术 Q1 MECHANICS Pub Date : 2024-09-14 DOI: 10.1016/j.euromechsol.2024.105446
J.C. Monge , J.L. Mantari

This paper presents a unique analytical layerwise solution for functionally graded magneto-electric-elastic shell with complex geometry. The middle surface of the shell is modeled by a parametric equation and the Lamé parameter and radii of curvature is modeled by Differential Geometry. The mechanical displacements, electrical and magnetic potentials are written in term of a simple cosine layerwise based on a unified formulation. The highly coupled differential equations are discretized by the Chebyshev-Gauss-Lobatto grid points and solved numerically via the Differential Quadrature Method (DQM). Lagrange interpolation polynomials are employed as the basis functions. The highly coupled differential equations are solved for shells subjected to different loads and boundary conditions. Since extremely few results on this topic is available in the literature, benchmarks complex shell problems and their solutions are introduced in this paper for the very first time.

本文针对具有复杂几何形状的功能分级磁电弹性壳体提出了一种独特的分层解析解。壳体的中间表面由参数方程建模,拉梅参数和曲率半径由微分几何建模。机械位移、电势和磁势根据统一的公式用简单的余弦分层来表示。高度耦合的微分方程由切比雪夫-高斯-洛巴托网格点离散化,并通过微分正交法(DQM)进行数值求解。采用拉格朗日插值多项式作为基函数。在不同载荷和边界条件下,对壳的高度耦合微分方程进行求解。由于有关该主题的文献成果极少,本文首次介绍了基准复杂壳体问题及其求解方法。
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引用次数: 0
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European Journal of Mechanics A-Solids
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