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On the thermo-visco-elastic behaviour of neat and aged PPS composites 纯 PPS 复合材料和老化 PPS 复合材料的热粘弹性行为
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-04 DOI: 10.1016/j.ijmecsci.2024.109761
Quentin C.P. Bourgogne , Vanessa Bouchart , Pierre Chevrier , Florence Dinzart
Reinforced PPS thermoplastics exposed to variations in temperature and humidity are subject to aging and interface degradation. These phenomena can lead to ruptures due to the interphase weakening. In this study, a micromechanical model based on the equivalent inclusion model is implemented using the viscoelastic behaviours of the neat and aged grades identified by spectrometric analyses. The presented coated inclusion model allows to extract the viscoelastic behavior of the interphase in the dry-as-molded composite and in the aged composite by inverse method conducted for viscoelastic behavior. The presence of the interphase testifies to the degradation of the thermomechanical properties in the vicinity of the reinforcements. In the aged composite, the interphase also undergoes an aging phenomenon. Thus, the model compares the behavior of the interphase in the dry-as-molded and aged grades of the composite and separates the effects linked to the degradation of adhesion of the fibers from the effects linked to specific hydroscopic aging.
增强型 PPS 热塑性塑料在温度和湿度变化的环境中会出现老化和界面降解现象。这些现象会导致相间削弱而发生断裂。在本研究中,利用光谱分析确定的未老化和老化牌号的粘弹性行为,建立了基于等效包覆模型的微观力学模型。所提出的涂层夹杂物模型可以通过粘弹性行为反演法提取干模复合材料和老化复合材料中夹杂物的粘弹性行为。夹层的存在证明了增强材料附近的热力学特性发生了退化。在老化的复合材料中,中间相也会出现老化现象。因此,该模型比较了干模和老化等级的复合材料中夹层的行为,并将与纤维粘附性退化相关的影响与特定水镜老化相关的影响区分开来。
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引用次数: 0
Transformative elastic metamaterials: Temperature-induced passband-to-bandgap conversion 变革性弹性超材料:温度诱导的通带-带隙转换
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-04 DOI: 10.1016/j.ijmecsci.2024.109767
Xuebin Zhang , Jun Zhang , Tao Liu , Junjie Rong , Liming Chen , Ning Hu
Elastic metamaterials favor the wide bandgap generation, but their formation mechanisms impose certain constraints on the achievable locations and widths. To overcome this limitation, this study proposes an innovative method that optimizes specific passbands and subsequently transforms them into bandgaps through an external stimulus. As an illustration, two meta-beams with different third passbands are optimized. In addition, to examine the formation and transformation mechanisms of the optimized passbands, this study develops several meta-beam models, incorporating force neutralizers, moment neutralizers, and their hybrid combinations, which are modally equivalent to the optimized unit cells. Samples for the two optimized meta-beams are fabricated using a three-dimensional printing technique. The experimental measurements are conducted at both room temperature and elevated temperatures, and the results confirm that when the temperature increases to approximately 60 °C, the optimized third passbands transform into bandgaps. Furthermore, repeated thermal loading cycles substantiate the reversibility of this transformation, demonstrating a promising application potential of the proposed method to tunable broadband meta-beam designs.
弹性超材料有利于产生宽带隙,但其形成机制对可实现的位置和宽度有一定的限制。为了克服这一限制,本研究提出了一种创新方法,即优化特定通带,然后通过外部刺激将其转化为带隙。举例来说,两个元波束的第三通带不同,但都得到了优化。此外,为了研究优化通带的形成和转化机制,本研究开发了几种元梁模型,包括力中和器、力矩中和器及其混合组合,它们在模态上与优化单元等效。两个优化元梁的样品是用三维打印技术制作的。实验测量在室温和高温下进行,结果证实,当温度升高到约 60 ℃ 时,优化的第三通带会转化为带隙。此外,反复的热加载循环证实了这种转变的可逆性,证明了所提出的方法在可调谐宽带元光束设计中具有广阔的应用前景。
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引用次数: 0
Dimensional change and springback of spherical shell in cryogenic forming 球形外壳在低温成形过程中的尺寸变化和回弹
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-04 DOI: 10.1016/j.ijmecsci.2024.109757
Fangxing Wu , Xiaobo Fan , Guang Yang , Xianshuo Chen , Shijian Yuan
Cryogenic forming has been developed to manufacture thin-walled curved aluminum alloy components, whose final dimensions are affected by cryogenic shrinkage and springback. Therefore, dimensional changes of spherical shell in cryogenic forming were studied theoretically and experimentally. The cryogenic forming process was discussed to elucidate the factors affecting the dimensional change. The stress distribution was analyzed to qualitatively reveal the springback behavior. Cryogenic dimensional measurement devices were built to quantitatively evaluate the dimensional changes in the forming processes of punch cooling, springback, and specimen restoration to room temperature. The temperature dependencies of the elastic modulus and expansion coefficient were modeled to quantitatively calculate the effect of thermal expansion and contraction on the dimensions of specimen and punch. The theoretical analysis results indicate that depth reduction and opening expansion are produced by cryogenic springback, determined by the radial stress, hoop stress, and bending moment in different deformation regions. The cryogenic springback in the biaxial tensile stress zone was reduced by 37.8 % owing to the increasing radial deformation and decreasing bending deformation. In contrast, cryogenic springback in the tensile-compressive stress zone increased by 30.8 %. The punch cooling shrinkage and specimen warming expansion in depth direction can reduce for the dimensional deviation caused by springback but cause the opposite effect in hoop direction. Expansion and shrinkage were effectively predicted using the proposed model, with an error of less than 16 %. The deformation region of the biaxial tensile stress can be enlarged by the significantly improved hardening ability at cryogenic temperature, which benefits enhancing deformation uniformity and further reduces springback. Therefore, cryogenic forming offers considerable potential for the precision manufacturing of aluminum alloy deep-cavity thin-walled components.
低温成形已被开发用于制造薄壁曲面铝合金部件,其最终尺寸会受到低温收缩和回弹的影响。因此,对低温成形中球形外壳的尺寸变化进行了理论和实验研究。通过讨论低温成形过程,阐明了影响尺寸变化的因素。通过分析应力分布,定性地揭示了回弹行为。建立了低温尺寸测量装置,以定量评估冲压冷却、回弹和试样恢复到室温的成形过程中的尺寸变化。建立了弹性模量和膨胀系数的温度相关性模型,以定量计算热胀冷缩对试样和冲头尺寸的影响。理论分析结果表明,深度减小和开口扩张是由低温回弹产生的,由不同变形区域的径向应力、环向应力和弯矩决定。由于径向变形增大和弯曲变形减小,双轴拉伸应力区的低温回弹减少了 37.8%。相反,拉伸-压缩应力区的低温回弹增加了 30.8%。深度方向上的冲头冷却收缩和试样升温膨胀可以减少回弹造成的尺寸偏差,但在箍筋方向上却会造成相反的影响。利用提出的模型可以有效预测膨胀和收缩,误差小于 16%。双轴拉伸应力的变形区域可以通过在低温下显著提高的硬化能力而扩大,这有利于提高变形均匀性并进一步减少回弹。因此,低温成形为铝合金深腔薄壁部件的精密制造提供了巨大潜力。
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引用次数: 0
Synthesis of a highly programmable multistable Kresling origami-inspired unit cell 合成高度可编程的多稳态克瑞斯林折纸启发单元格
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-03 DOI: 10.1016/j.ijmecsci.2024.109768
Richard Rodriguez-Feliciano, K.W. Wang
Multistable origami structures have been exploited for mechanical property tailoring, deployable robotic arms, wave propagation tuning and others, due to its ability to possess multiple stable states with distinct properties. Traditionally these structures are made by assembling bistable unit cells, which results in a significant increase in the size and weight of the system when larger number of stable states are required. Recently, researchers have uncovered a third stable state in the Kresling origami pattern. Although this is an advancement over the bistable unit cell, there is an unexplored opportunity for more systematically expanding the design space of Kresling unit cells to possess many more stable configurations (>>2) and enhance its programmable multistability. In this research, we seek to develop a methodology for the design of a Kresling origami-inspired unit cell that can be easily programmed to achieve up to 10 stable configurations, with the potential to achieve even more. We exploit the rich kinematics of the Kresling origami-inspired unit cell, that arise from its coupled translational and rotational deployment, and propose the strategic integration of tensile elements to realize multiple stable states. Analytically, we study the unstretched length values (defined to be the precise length between the string “slacked” and “tensioned” configurations) of the strings that yield the distinct number of stable states. We present the potential energy profiles with its corresponding force-displacement plots for the bistable, tristable, quadstable, pentastable and decastable unit cells. Moreover, we show that by simply adjusting the unstretched length of the strings we can program and tune the number of stable states of the unit cell. Tristable and pentastable unit cell prototypes are designed and experimentally tested to validate the proposed methodology. Lastly, a study is performed on the mechanical property tailoring capabilities of two unit cells assembled in series. The results show that the decastable unit cell assembly can achieve up to 55 discrete values of equivalent stiffness, while the bistable one can only achieve 3. For the bistable unit cell assembly to match this number, it will require 54 unit cells in series, which will significantly increase the size and weight of the structural system. These findings show that the modular structure will have more programmable capabilities, while maintaining its size and weight at a minimum, as the number of stable states per unit cell is increased.
由于多稳折纸结构能够拥有具有不同特性的多种稳定状态,因此已被用于机械特性定制、可部署机械臂、波传播调谐等领域。传统上,这些结构是通过组装双稳态单元单元制成的,当需要更多稳定状态时,系统的尺寸和重量会显著增加。最近,研究人员在克瑞斯林折纸图案中发现了第三种稳定状态。虽然这是比双稳态单元单元更先进的技术,但仍有机会更系统地扩展克瑞斯林单元单元的设计空间,使其拥有更多的稳定构型(>>2),并增强其可编程多态性。在这项研究中,我们试图开发一种设计克瑞斯林折纸启发单元格的方法,这种单元格可以轻松编程,实现多达 10 种稳定构型,并有可能实现更多构型。我们利用克瑞斯林折纸启发单元单元的丰富运动学特性(源自其耦合的平移和旋转部署),并建议战略性地整合拉伸元素,以实现多种稳定状态。通过分析,我们研究了产生不同数量稳定状态的弦的未拉伸长度值(定义为弦 "松弛 "和 "拉伸 "配置之间的精确长度)。我们展示了双稳态、三稳态、四稳态、五稳态和十稳态单元格的势能曲线及其相应的力位移图。此外,我们还展示了通过简单地调整弦的未拉伸长度,就能对单元格的稳定状态数量进行编程和调整。为了验证所提出的方法,我们设计了三可和五可单元原件并进行了实验测试。最后,我们对串联组装的两个单元格的机械性能定制能力进行了研究。结果表明,可解稳单元电池组件可实现多达 55 个离散的等效刚度值,而双稳态单元电池组件只能实现 3 个等效刚度值。要使双稳态单元单元组件达到这个数值,需要 54 个串联单元单元,这将大大增加结构系统的尺寸和重量。这些研究结果表明,随着每个单元单元稳定状态数量的增加,模块化结构将具有更多的可编程能力,同时将其尺寸和重量保持在最低水平。
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引用次数: 0
Physics-informed deep learning for structural dynamics under moving load 移动载荷下结构动力学的物理信息深度学习
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-02 DOI: 10.1016/j.ijmecsci.2024.109766
Ruihua Liang , Weifeng Liu , Yuguang Fu , Meng Ma
Physics-informed deep learning has emerged as a promising approach that incorporates physical constraints into the model, reduces the amount of data required, and demonstrates robustness and potential in dealing with limited datasets for a variety of studies. However, several key challenges still exist, with one being the spectral bias problem of deep learning in the simulation of functions with multi-frequency features. To overcome the challenge, this study proposes a novel physics-informed deep learning method, which integrates physics-informed neural network with Fourier transform so as to solve partial differential equations in the frequency domain, thus alleviating the problem of spectral bias of neural networks in the simulation of multi-frequency functions. In addition, the proposed method is used to focus on the forward simulation and parameter inverse identification issues in structural dynamics under moving loads. To illustrate the superiority of the method, the issues of dynamic response of simply supported beams under moving loads are presented as case studies, and the performance of the method in multiple cases is analysed and discussed. The research results demonstrate the feasibility and effectiveness of the method for structural dynamics simulation and parameter inverse identifications using limited datasets.
物理信息深度学习已成为一种很有前途的方法,它将物理约束纳入模型,减少了所需的数据量,在处理各种研究的有限数据集时表现出鲁棒性和潜力。然而,目前仍存在一些关键挑战,其中之一就是深度学习在模拟具有多频率特性的函数时存在频谱偏差问题。为了克服这一挑战,本研究提出了一种新颖的物理信息深度学习方法,该方法将物理信息神经网络与傅立叶变换相结合,从而求解频域偏微分方程,从而缓解了神经网络在模拟多频函数时的频谱偏差问题。此外,提出的方法还用于重点解决移动载荷下结构动力学的正演模拟和参数反演识别问题。为了说明该方法的优越性,以移动荷载下简单支撑梁的动态响应问题为案例,分析和讨论了该方法在多个案例中的性能。研究结果证明了该方法在利用有限数据集进行结构动力学模拟和参数反识别方面的可行性和有效性。
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引用次数: 0
A 2-DOF piezoelectric platform for cross-scale semiconductor inspection 用于跨尺度半导体检测的 2-DOF 压电平台
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-01 DOI: 10.1016/j.ijmecsci.2024.109765
Lusheng Yuan, Liang Wang, Rui Qi, Yan Li, Chuangye Liu, Gang Luo
To address the challenge of achieving extensive travel and high precision in semiconductor inspection, this study proposes a novel 2-DOF cross-scale piezoelectric positioning platform. In semiconductor inspection, the platform utilizes elliptical, stick-slip, and direct-push drive modes to meet the motion requirements at millimeter, micrometer, and nanometer scales. By applying defined electrical signals to the piezoelectric units, the platform can achieve high-speed continuous mode (HCM) for the millimeter scale, low-speed stepping mode (LSM) for the micrometer scale, and high-precision positioning mode (HPM) for the nanometer scale. Theoretical analysis and simulations were performed to design the flexible stator of the platform, and its dynamic characteristics were analyzed. A prototype was fabricated, assembled, and experimentally tested to investigate the mechanical performance of the proposed platform. The results show that the prototype successfully realizes cross-scale motion in the three modes: achieving a maximum no-load speed of 62.47 mm/s in HCM, a low-speed stepping motion of 14.62 μm/s in LSM, and high-precision positioning with a resolution of 25 nm within a range of ±21 μm in HPM. Through the flexible switching and cooperation of the three drive modes, the platform can quickly approach the target at millimeter speed, further approach with micrometer step motion, and finally achieve nanometer precision positioning. Finally, the positioning platform was successfully applied to inspect semiconductor devices for defect inspection. This study explores a novel cross-scale driving method for piezoelectric positioning platforms, which provides a new approach for precision manipulation research related to semiconductor component inspection.
为了应对半导体检测中实现大行程和高精度的挑战,本研究提出了一种新型 2-DOF 跨尺度压电定位平台。在半导体检测中,该平台利用椭圆、粘滑和直推驱动模式来满足毫米、微米和纳米尺度的运动要求。通过向压电单元施加确定的电信号,该平台可实现毫米尺度的高速连续模式(HCM)、微米尺度的低速步进模式(LSM)和纳米尺度的高精度定位模式(HPM)。对平台柔性定子的设计进行了理论分析和模拟,并分析了其动态特性。制作、组装和实验测试了原型,以研究拟议平台的机械性能。结果表明,原型成功实现了三种模式下的跨尺度运动:在 HCM 模式下实现了 62.47 mm/s 的最大空载速度;在 LSM 模式下实现了 14.62 μm/s 的低速步进运动;在 HPM 模式下实现了分辨率为 25 nm、范围在 ±21 μm 内的高精度定位。通过三种驱动模式的灵活切换和配合,该平台可以毫米级速度快速接近目标,并以微米级运动进一步接近,最终实现纳米级精度定位。最后,该定位平台被成功应用于半导体器件的缺陷检测。本研究探索了压电定位平台的新型跨尺度驱动方法,为半导体元件检测相关的精密操控研究提供了一种新方法。
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引用次数: 0
Topological modes, vibration attenuation, and energy harvesting in electromechanical metastructures 机电转移结构中的拓扑模式、振动衰减和能量收集
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-01 DOI: 10.1016/j.ijmecsci.2024.109763
E. Pantaleoni , E. Riva , A. Erturk
The dynamics of topological boundary modes in both periodic and quasi-periodic electromechanical metastructures is investigated, with a focus on their applications to energy harvesting and vibration reduction. The metastructure analyzed in this study is based on a shunted array of piezoelectric patches, with electrical parameters modulated according to the 1D Aubry–André–Harper model. As a result of this modulation, a fractal spectrum is generated near the central frequency of the resonators, a hallmark of nontrivial topology that enables the emergence of digitally controllable edge states and ensuing localization phenomena at subwavelength frequencies. In this framework, a detailed analysis of the metastructure spectral characteristics is conducted to investigate the influence of the modulation parameters on mode localization, both at the boundaries and within the interior of the beam. Such localization effects are then studied in relation to the energy harvesting, attenuation, and wave transport capabilities of the system. These functionalities point toward the realization of self-powered structures with low frequency and digitally controllable vibration attenuation capabilities, and are considered of significant technological interest in applications involving elastic waves and vibrations, where the ability to precisely control and harness these phenomena could lead to innovative solutions in energy-efficient and adaptive systems.
本研究探讨了周期性和准周期性机电转移结构中拓扑边界模式的动力学,重点是其在能量收集和减震方面的应用。本研究分析的元结构基于分流压电贴片阵列,其电气参数根据一维 Aubry-André-Harper 模型进行调制。这种调制的结果是,在谐振器的中心频率附近产生了分形频谱,这是非琐碎拓扑结构的一个标志,它使数字可控边缘状态和随之而来的亚波长频率局部化现象得以出现。在此框架下,我们对元结构的光谱特性进行了详细分析,以研究调制参数对光束边界和内部模式局部化的影响。然后,结合系统的能量收集、衰减和波传输能力,对这种定位效应进行研究。这些功能指向实现具有低频和数字可控振动衰减能力的自供电结构,并被认为在涉及弹性波和振动的应用中具有重要的技术意义,在这些应用中,精确控制和利用这些现象的能力可为高能效和自适应系统带来创新解决方案。
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引用次数: 0
The impact of ultrasonic-induced jet morphology on polishing efficiency 超声波诱导的射流形态对抛光效率的影响
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-10-01 DOI: 10.1016/j.ijmecsci.2024.109764
Jiangqin Ge , Yuheng Lin , Huan Qi , Yuntang Li , Xiaolu Li , Chen Li , Zhian Li , Kengqing Xu
In the abrasive jet polishing (AJP) process, applying ultrasonic vibration to the jet beam can effectively improve the cutting kinetic energy of the abrasive particles, but it simultaneously causes significant variations in the jet morphology. However, less research has been done on the relationship between the jet morphology and the polishing efficiency. This paper established a fluid mechanic model to study the effect of jet morphology evolution on the polishing efficiency. The accuracy of the computational results was verified from multiple perspectives through the high-speed camera capture, the targeted erosion experiments and the polishing experiments. It was found that there exists an effective target distance for each amplitude, beyond which ultrasonic vibration cannot improve the polishing efficiency. The effective target distance can be expanded by reducing the amplitude or increasing the frequency. The research findings reveal the evolution process of the pulse morphology induced by the ultrasonic vibration and the variation pattern of pulse dynamic pressure with respect to the target distance, which can provide a theoretical basis for designing the vibration parameters in the AJP process enhanced by the ultrasonic vibration.
在磨料射流抛光(AJP)过程中,对射流束施加超声波振动可有效提高磨料颗粒的切割动能,但同时也会导致射流形态发生显著变化。然而,关于射流形态与抛光效率之间关系的研究较少。本文建立了一个流体力学模型来研究射流形态演变对抛光效率的影响。通过高速摄像捕捉、定向侵蚀实验和抛光实验,从多个角度验证了计算结果的准确性。研究发现,每个振幅都存在一个有效目标距离,超过这个距离,超声波振动就无法提高抛光效率。可以通过降低振幅或提高频率来扩大有效目标距离。研究结果揭示了超声波振动诱导的脉冲形态演变过程以及脉冲动压随目标距离的变化规律,为设计超声波振动增强 AJP 工艺中的振动参数提供了理论依据。
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引用次数: 0
A finite volume–based thermo-fluid-mechanical model of the LPBF process 基于有限体积的 LPBF 工艺热流体力学模型
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-29 DOI: 10.1016/j.ijmecsci.2024.109759
Xuan Yang , Biao Li , Yazhi Li , Baishun Yang , Kun Zhou
The multi-physics coupling feature of the laser powder bed fusion (LPBF) process poses great challenges to numerical models regarding computational fidelity and efficiency. This paper proposed a finite volume–based model for predicting integrated thermo-fluid-mechanical behaviors of the LPBF process. The model directly unifies the heat transfer, fluid flow and solid mechanics simulations within a predefined mesh, enabling simultaneous solutions for the fluid domain under Eulerian description and the solid domain under Lagrangian description. Three benchmark tests accounting for individual problems were conducted to validate the model's accuracy and effectiveness. Track-scale LPBF simulations were performed to unravel the intricate interplay between thermal, fluid and mechanical behaviors. The numerical predictions of surface morphologies, molten pool dynamics and melt track dimensions aligned well with the experimental observations. The spatiotemporal evolution of transient thermal stress was accurately captured and the predicted residual stress field showed consistency with nanoindentation measurements. The proposed model was found robust in simultaneously predicting the temperature distribution, melt flow and residual stress evolutions of the LPBF process, and showed strong potential for addressing other similar multi-physics coupling problems.
激光粉末床熔融(LPBF)工艺的多物理场耦合特性对数值模型的计算保真度和效率提出了巨大挑战。本文提出了一种基于有限体积的模型,用于预测 LPBF 工艺的热-流-机综合行为。该模型将传热、流体流动和固体力学模拟直接统一在一个预定义网格中,实现了欧拉描述下的流体域和拉格朗日描述下的固体域的同步求解。为验证该模型的准确性和有效性,针对个别问题进行了三次基准测试。进行了轨道尺度 LPBF 模拟,以揭示热、流体和机械行为之间错综复杂的相互作用。对表面形态、熔池动态和熔轨尺寸的数值预测与实验观测结果十分吻合。瞬态热应力的时空演变被准确捕捉,预测的残余应力场与纳米压痕测量结果一致。发现所提出的模型在同时预测 LPBF 过程的温度分布、熔体流动和残余应力演变方面非常稳健,并显示出解决其他类似多物理场耦合问题的强大潜力。
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引用次数: 0
T-matrix of piezoelectric shunt inclusions on a thin plate 薄板上压电分流夹杂物的 T 矩阵
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-29 DOI: 10.1016/j.ijmecsci.2024.109756
Zuowei Wang, Shilong Wang, Tianpeng An, Tuanjie Li
Developing piezoelectric-based plate-like metamaterials necessitates an effective modeling method to elucidate the omnidirectional wave properties of piezoelectric coupled inclusions on a thin plate. The commonly used methods, such as the transfer-matrix method and finite element method, are inadequate for analyzing the transmission and reflection of omnidirectional waves in a two-dimensional elastic medium. Unlike the existing methods, the multiple scattering method employs Bessel functions as the displacement-basis methods which can accurately describe the propagation and scattering characteristics of omnidirectional waves. This paper develops a novel T-matrix formulation to support the multiple scattering method, representing the input-output relationship between incident and reflected waves from a piezoelectric shunt inclusion on a host thin plate. The piezoelectric shunt inclusion comprises a varying-thickness substrate bonded with piezoelectric shunting patches. The T-matrix of the piezoelectric shunt inclusion is formulated by integrating the wave-based method with Rayleigh-Ritz method. The derived T-matrix is then used to semi-analytically analyze the far-field scattering and reflection properties of a single inclusion. Numerical results capture the scattering properties resulting from trapped mode resonances of the piezoelectric shunt inclusion. Additionally, the capability of the piezoelectric shunt damping to design and tune multiple critical coupling conditions for axisymmetric modes of thin plates is parametrically investigated by varying the values of inductors and resistors.
开发基于压电的板状超材料需要一种有效的建模方法来阐明薄板上压电耦合夹杂物的全向波特性。常用的方法,如传递矩阵法和有限元法,都不足以分析全向波在二维弹性介质中的传输和反射。与现有方法不同,多重散射法采用贝塞尔函数作为位移基础方法,能准确描述全向波的传播和散射特性。本文开发了一种新颖的 T 矩阵公式来支持多重散射法,表示主机薄板上的压电分流包络体的入射波和反射波之间的输入输出关系。压电分流器包含一个厚度不等的基板,基板上粘接有压电分流器贴片。通过将基于波的方法与雷利-里兹方法进行整合,可以计算出压电分流包络的 T 矩阵。然后利用推导出的 T 矩阵对单个包体的远场散射和反射特性进行半分析。数值结果捕捉到了压电分流包体的陷模共振所产生的散射特性。此外,通过改变电感器和电阻器的值,对压电分流阻尼设计和调整薄板轴对称模式的多个临界耦合条件的能力进行了参数化研究。
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引用次数: 0
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International Journal of Mechanical Sciences
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