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A pneumatic soft acoustic metamaterial through modular design 模块化设计的气动软声超材料
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-27 DOI: 10.1016/j.ijmecsci.2024.109752
Tunable acoustic metamaterials have excellent sound waves control and manipulation properties because of their deformations under different stimuli. Pneumatic actuation has recently attracted the attention due to its low-cost, fast in response and easy to integrate. However, due to the difficulty in fabricating soft enough scatterers and ensuring their airtightness, the experimental realization of pneumatic soft acoustic metamaterials remains a great challenge. In this paper, a pneumatic soft acoustic metamaterial is designed and its tunable band gap has been experimentally demonstrated. The designed pneumatic soft acoustic metamaterial comprises an array of soft inflatable rubber cavities in the background of air. And the scatterer in the soft acoustic metamaterials can deform by adjusting the air pressure, which can switch on or off the band gaps. The effects of scatterer shapes and orientations on the adjustable band gap are studied using numerical simulation methods. Furthermore, the modular design is introduced to ensure the flexibility of the designed soft acoustic metamaterials. And we fabricate modularized pneumatic soft acoustic metamaterials with square scatterers through the casting molding approach. The acoustic experiment results are agreement with the simulation results, which demonstrates that the band gap can be efficiently tuned when applying the air pressure. Additionally, the average transmission drops by about 20.2 dB in the maximum band gap of 3209.7–4639.7 Hz. This study provides a guide for designing and fabricating a pneumatic soft acoustic metamaterial, and confirms the feasibility and application potential of the design of acoustic devices by harnessing pneumatic actuation.
可调谐声学超材料在不同刺激下会发生形变,因此具有出色的声波控制和操纵特性。最近,气动驱动因其成本低、响应快和易于集成而备受关注。然而,由于难以制造足够柔软的散射体并确保其气密性,气动软声超材料的实验实现仍然是一个巨大的挑战。本文设计了一种气动软声超材料,并通过实验证明了它的可调带隙。所设计的气动软声超材料由空气背景中的软充气橡胶空腔阵列组成。通过调节气压,软声超材料中的散射体可以变形,从而打开或关闭带隙。利用数值模拟方法研究了散射体形状和方向对可调带隙的影响。此外,我们还引入了模块化设计,以确保所设计的软声超材料的灵活性。我们还通过铸造成型方法制造了模块化的方形散射体气动软声超材料。声学实验结果与仿真结果一致,表明在施加气压时可以有效地调整带隙。此外,在 3209.7-4639.7 Hz 的最大带隙内,平均传输率下降了约 20.2 dB。这项研究为设计和制造气动软声超材料提供了指导,并证实了利用气动致动设计声学器件的可行性和应用潜力。
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引用次数: 0
Better than linear strength scaling of multifunctional ceramic truss lattice materials 多功能陶瓷桁架晶格材料的强度比例优于线性比例
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-26 DOI: 10.1016/j.ijmecsci.2024.109725
Driven by the goal of creating exceptionally strong and lightweight thermal insulators to enable the operation of a vacuum airship on Venus, conditions where ceramic truss lattice materials provide better than linear scaling of strength with respect to variations in relative density have been found. This enhanced scaling relationship is a consequence of the pressure sensitive shear strength of ceramic materials. A new Gibson-Ashby type scaling relationship is developed between strength and relative density. Elementary analysis is used to formulate theoretical limits for the compressive strength, minimum density, and minimum thermal conductivity for truss lattice materials subjected to hydrostatic pressure loads. Shape optimization using the covariance matrix adopted evolutionary strategy (CMA-ES) and highly resolved finite element models is conducted on silicon carbide Kelvin cells with variable cross-section axisymmetric struts considering three failure modes: buckling, tensile rupture, and shear failure. The optimized designs closely adhere to and validate the newly developed analytical scaling relationship with better than linear strength scaling. These optimized designs are found to withstand the extreme loading conditions on Venus while providing up to 43 kgm3 of buoyancy. The thermal conductivity of the optimized designs are computed and found to be less than 0.5 WmK, with one design outperforming silica aerogels at elevated temperature.
为了实现在金星上运行真空飞艇的目标,人们发现陶瓷桁架晶格材料的强度随相对密度变化的比例关系优于线性比例关系。这种增强的比例关系是陶瓷材料对压力敏感的剪切强度的结果。在强度和相对密度之间建立了一种新的 Gibson-Ashby 型比例关系。通过基本分析,为承受静水压力载荷的桁架晶格材料制定了抗压强度、最小密度和最小导热系数的理论极限。采用协方差矩阵进化策略(CMA-ES)和高分辨率有限元模型,对具有可变截面轴对称支柱的碳化硅开尔文电池进行了形状优化,考虑了三种失效模式:屈曲、拉伸断裂和剪切失效。优化设计与新开发的分析缩放关系密切相关,并验证了其优于线性强度缩放关系。这些优化设计能够承受金星上的极端载荷条件,同时提供高达 43 kgm3 的浮力。通过计算发现,优化设计的导热系数小于 0.5 WmK,其中一种设计在高温下的性能优于二氧化硅气凝胶。
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引用次数: 0
Effect of meshing-induced deformation on lubrication for journal planet gear bearings 啮合引起的变形对轴颈行星齿轮轴承润滑的影响
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-25 DOI: 10.1016/j.ijmecsci.2024.109747
To increase the power density and reliability of wind turbine gearboxes (WTGs), journal planet gear bearings (JPGBs) are increasingly employed in their low-speed planet stages. Except for the pressure- and temperature-induced deformations, the JPGB is also structurally deformed by the gear pair meshing in this application, complicating the lubrication and deformation characteristics. Considering the above meshing-induced deformation, a thermo-elasto-hydrodynamic (TEHD) model is proposed for the JPGB, whose deformation is predicted using a self-programmed procedure based on the finite element method (FEM). Besides, this model is verified through a lubrication experiment of the JPGB in the WTG. It is found that the appropriate meshing-induced deformation, varying periodically in the meshing process, can improve the TEHD and misalignment behaviors of the JPGB due to the load-carrying region expansion or twice hydrodynamic action. This phenomenon becomes increasingly obvious with increasing the WTG's input power and the planet's inner radius.
为了提高风力涡轮机齿轮箱(WTG)的功率密度和可靠性,越来越多的低速行星级采用了轴颈行星齿轮轴承(JPGB)。在这种应用中,除了压力和温度引起的变形外,JPGB 还会因齿轮对啮合而产生结构变形,从而使润滑和变形特性变得复杂。考虑到上述啮合引起的变形,提出了 JPGB 的热-弹性-流体动力学(TEHD)模型,并使用基于有限元法(FEM)的自编程程序对其变形进行了预测。此外,还通过风电机组中 JPGB 的润滑实验对该模型进行了验证。研究发现,适当的网格诱导变形在网格划分过程中周期性变化,可以改善 JPGB 因承载区域膨胀或两次流体动力作用而产生的 TEHD 和错位行为。这种现象随着风电机组输入功率和行星内半径的增加而变得越来越明显。
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引用次数: 0
Flexural wave compression behaviors of programmable graded piezoelectric meta-beams 可编程分级压电元梁的挠曲波压缩行为
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-24 DOI: 10.1016/j.ijmecsci.2024.109743
Active electromechanical metamaterials have drawn significant attention due to their remarkable tunability and adaptability in vibration and wave control. Exploiting the electromechanical coupling effect via controlled biased fields enables precise manipulation of the structural vibrations and wave transmissions. In this research, we have developed a programmable graded piezoelectric meta-beam that successfully imitates the wave compression behavior of an acoustic black hole without modifying the structural geometries. The effective parameters of the meta-beam are reshaped into a gradient distribution by tuning the electrical impedances of the digital shunting circuits. With such graded effective parameters, it becomes feasible to tailor the local wavenumber distribution of the meta-beam and hence achieve the desired wave compression. Numerical results validated our proposed paradigm of the programmable black hole in both straight and curved beams. In contrast to the straight beam, curvature of the curved beam reduces the tunable range of the local wavenumber. A comprehensive parametric study was conducted to investigate the influences of the gradient profile, electric damping, and curvature on the wave control function. For a given desired frequency, programmable control of wave compression location and amplified output of electrical signals are achieved.
有源机电超材料因其在振动和波控制方面显著的可调性和适应性而备受关注。通过可控偏置场利用机电耦合效应,可以精确控制结构振动和波的传输。在这项研究中,我们开发了一种可编程的分级压电元梁,在不改变结构几何形状的情况下成功地模仿了声学黑洞的波压缩行为。通过调整数字分流电路的电阻抗,元光束的有效参数被重塑为梯度分布。有了这种梯度有效参数,就可以定制元光束的局部波数分布,从而实现所需的波压缩。数值结果验证了我们提出的可编程黑洞范例在直波束和曲波束中的应用。与直光束相比,弯曲光束的曲率减小了局部波长的可调范围。为了研究梯度轮廓、电阻尼和曲率对波控制函数的影响,我们进行了全面的参数研究。对于给定的所需频率,可实现对波压缩位置和电信号放大输出的可编程控制。
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引用次数: 0
Multiscale modelling strategy for predicting fatigue performance of welded joints 预测焊接接头疲劳性能的多尺度建模策略
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-24 DOI: 10.1016/j.ijmecsci.2024.109751
This study predicts the fatigue performance of welded joints through a multiscale modelling strategy accounting for material and structural inhomogeneities. An S-N curve and detailed fracture surfaces with distinct beach marks were first derived by uniaxial fatigue tests utilising the designed cruciform welded joints. Considering the intrinsic features of welded joints, a multiscale modelling strategy was proposed to integrate multiple factors, including microstructural variations, strength distributions within the heat-affected zone (HAZ), and the diversity of three-dimensional weld toe shapes. Significantly, a modelling strategy was presented for the first time to simulate the simultaneous initiation, growth, and coalescence of multiple cracks, and was validated against experimental evidence. The results indicate that the proposed strategy can accurately predict both the fatigue strength and the overall crack growth process. Additionally, comparative assessments of single-crack and multiple-crack modelling strategies revealed notably shorter predicted fatigue lives when considering crack coalescence. Overall, this work establishes a multiscale framework for assessing the fatigue performance of welded joints considering both microscopic and macroscopic factors, offering substantial practical implications for engineering applications.
本研究通过考虑材料和结构不均匀性的多尺度建模策略来预测焊接接头的疲劳性能。首先利用设计的十字形焊接接头进行单轴疲劳试验,得出 S-N 曲线和带有明显海滩痕迹的详细断裂面。考虑到焊接接头的内在特征,提出了一种多尺度建模策略,以综合多种因素,包括微观结构变化、热影响区(HAZ)内的强度分布以及三维焊趾形状的多样性。重要的是,首次提出了模拟多条裂纹同时产生、生长和凝聚的建模策略,并根据实验证据进行了验证。结果表明,所提出的策略可以准确预测疲劳强度和整个裂纹生长过程。此外,对单裂纹和多裂纹建模策略的比较评估显示,在考虑裂纹凝聚的情况下,预测的疲劳寿命明显更短。总之,这项工作建立了一个考虑微观和宏观因素的多尺度框架,用于评估焊接接头的疲劳性能,为工程应用提供了重要的实际意义。
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引用次数: 0
Mechanical interactions modeling of inertial wave energy converters 惯性波能转换器的机械相互作用建模
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-24 DOI: 10.1016/j.ijmecsci.2024.109731
Numerous technological solutions for wave energy converters (WECs), referred as inertial reaction mass (IRM) systems, incorporate a reacting mass within the floater, coupled with a power take-off (PTO) system, to shelter all electronic components from the hostile sea environment. While the overall complexity of the system increases, the current modeling procedures persist in considering only a limited number of modes of motion, neglecting relevant dynamical effects. In this context, this paper proposes a systematic procedure for defining the kinematic characteristics and overall analytical model for the dynamics of IRM WECs. The significance of the proposed procedure lies in the statement of the reaction mass-related dynamic equation, considering the floater’s parametric excitation in six degrees of freedom (DoF). Additionally, it introduces the procedure for defining the reaction forces that the inertial mass exerts on the floater, which are often neglected in the literature for the full simulation of such systems. Furthermore, the proposed analytical modeling procedure allows the definition of approximated models in more simplified nonlinear forms for dynamic analysis and ultimately in fully linear approximations. This enables the application of methodologies and techniques commonly used in the literature for linear systems. The development of the framework is kept generic, in order to introduce a versatile mathematical procedure, that can be easily adjusted, with minor modifications, to accurately capture and represent the mechanical interaction for a wide family of IRM WEC devices. Subsequently, a case study on a vertical-hinged pendulum WEC is analyzed, to showcase the effectiveness of the proposed methodology. Moreover, to test the reliability of the analytical framework, a comparison with the output of a commercial software is conducted.
波浪能转换器(WECs)的许多技术解决方案被称为惯性反力质量(IRM)系统,在浮筒内加入一个反力质量,再加上一个动力输出(PTO)系统,以保护所有电子元件免受恶劣海洋环境的影响。虽然系统的整体复杂性有所增加,但目前的建模程序始终只考虑有限的运动模式,忽略了相关的动态效应。在这种情况下,本文提出了一种系统程序,用于定义 IRM 水力发电装置的运动特性和整体动力学分析模型。考虑到浮筒在六个自由度(DoF)中的参数激励,所提出程序的意义在于陈述与反作用质量相关的动态方程。此外,它还介绍了定义惯性质量对浮筒施加的反作用力的程序,而在文献中,对此类系统进行全面模拟时往往忽略了这些反作用力。此外,所提出的分析建模程序允许以更简化的非线性形式定义近似模型,用于动态分析,并最终定义为完全线性近似模型。这使得文献中常用于线性系统的方法和技术得以应用。该框架的开发保持了通用性,目的是引入一种通用的数学程序,只需稍加修改即可轻松调整,以准确捕捉和表示各种 IRM 水力发电装置的机械相互作用。随后,对垂直铰链摆式风力发电设备进行了案例分析,以展示所提方法的有效性。此外,为了测试分析框架的可靠性,还与商业软件的输出结果进行了比较。
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引用次数: 0
In-situ EBSD-DIC simulation of microstructure evolution of aluminum alloy welds 铝合金焊缝微观结构演变的原位 EBSD-DIC 模拟
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-23 DOI: 10.1016/j.ijmecsci.2024.109741
A comprehensive understanding of the dynamic evolution of weld microstructure under external loads can provide key insights for high-performance laser welding. A novel in-situ EBSD-DIC simulation method is introduced to study the microstructure evolution of laser welded aluminum alloys under uniaxial tensile action. An advanced crystal plastic finite element model (CPFEM) is developed, which combines the real microstructure, grain orientation and grain size effects. The results show that the dislocation density in columnar grain zone is higher than that in equiaxed grain zone. The continuous accumulation of dislocations in the columnar region results in a high work-hardening rate. This high work hardening rate enhances the plastic deformation capacity of the columnar crystal region, resulting in local strain concentration. Columnar zones are more prone to fracture because the high-strain region is a potential fracture site. In addition, low Angle grain boundary (LAGBs) is one of the reasons that the dislocation density of the columnar grain zone is higher than that of equiaxed grain zone during tensile process, which is conducive to dislocation slip of columnar grains. This study is a fundamental innovation in simulating the microstructure evolution of laser welding. This marks a major breakthrough in simulating the evolution of crystallographic features such as grain orientation, microstress and strain and dislocation density under external loads. This work can further provide practical guidance for “microstructure characteristics - mechanical property regulation”.
全面了解外部载荷作用下焊缝微观结构的动态演化,可为高性能激光焊接提供重要见解。本文介绍了一种新颖的原位 EBSD-DIC 模拟方法,用于研究单轴拉伸作用下激光焊接铝合金的微观结构演变。建立了一个先进的晶塑有限元模型(CPFEM),该模型结合了真实的微观结构、晶粒取向和晶粒尺寸效应。结果表明,柱状晶粒区的位错密度高于等轴晶粒区。柱状晶粒区位错的不断积累导致了高加工硬化率。这种高加工硬化率增强了柱状晶区的塑性变形能力,导致局部应变集中。柱状区更容易断裂,因为高应变区是潜在的断裂部位。此外,低角度晶界(LAGBs)是拉伸过程中柱状晶区位错密度高于等轴晶区的原因之一,有利于柱状晶的位错滑移。这项研究是模拟激光焊接微观结构演变的一项根本性创新。这标志着在模拟外部载荷作用下晶粒取向、微应力和应变以及位错密度等晶体学特征的演变方面取得了重大突破。这项工作可进一步为 "微观结构特征--机械性能调节 "提供实际指导。
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引用次数: 0
Discrete differential geometry-based model for nonlinear analysis of axisymmetric shells 基于离散微分几何的轴对称壳体非线性分析模型
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-21 DOI: 10.1016/j.ijmecsci.2024.109742
In this paper, we propose a novel one-dimensional (1D) discrete differential geometry (DDG)-based numerical method for geometrically nonlinear mechanics analysis (e.g., buckling and snapping) of axisymmetric shell structures. Our numerical model leverages differential geometry principles to accurately capture the complex nonlinear deformation patterns exhibited by axisymmetric shells. By discretizing the axisymmetric shell into interconnected 1D elements along the meridional direction, the in-plane stretching and out-of-bending potentials are formulated based on the geometric principles of 1D nodes and edges under the Kirchhoff–Love hypothesis, and elastic force vector and associated Hessian matrix required by equations of motion are later derived based on symbolic calculation. Through extensive validation with available theoretical solutions and finite element method (FEM) simulations in literature, our model demonstrates high accuracy in predicting the nonlinear behavior of axisymmetric shells. Importantly, compared to the classical theoretical model and three-dimensional (3D) FEM simulation, our model is highly computationally efficient, making it suitable for large-scale real-time simulations of nonlinear problems of shell structures such as instability and snap-through phenomena. Moreover, our framework can easily incorporate complex loading conditions, e.g., boundary nonlinear contact and multi-physics actuation, which play an essential role in the use of engineering applications, such as soft robots and flexible devices. This study demonstrates that the simplicity and effectiveness of the 1D discrete differential geometry-based approach render it a powerful tool for engineers and researchers interested in nonlinear mechanics analysis of axisymmetric shells, with potential applications in various engineering fields.
本文提出了一种基于离散微分几何(DDG)的新型一维(1D)数值方法,用于轴对称壳体结构的几何非线性力学分析(如屈曲和折断)。我们的数值模型利用微分几何原理准确捕捉轴对称壳体表现出的复杂非线性变形模式。通过将轴对称壳体沿经线方向离散为相互连接的一维元素,根据基尔霍夫-洛夫假设下一维节点和边缘的几何原理,制定了平面内拉伸和外弯曲势能,随后根据符号计算推导出运动方程所需的弹性力矢量和相关赫塞斯矩阵。通过与现有理论解法和文献中的有限元法(FEM)模拟进行广泛验证,我们的模型在预测轴对称壳体的非线性行为方面表现出很高的准确性。重要的是,与经典理论模型和三维(3D)有限元模拟相比,我们的模型具有很高的计算效率,因此适用于大规模实时模拟壳体结构的非线性问题,如失稳和快穿现象。此外,我们的框架还能轻松纳入复杂的加载条件,如边界非线性接触和多物理场驱动,这在软机器人和柔性设备等工程应用中发挥着至关重要的作用。这项研究表明,基于一维离散微分几何的方法既简单又有效,是对轴对称壳体非线性力学分析感兴趣的工程师和研究人员的有力工具,有望应用于各个工程领域。
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引用次数: 0
Coupled vibrations of thickness-extensional FBARs under stress-strain biasing state 应力-应变偏置状态下厚度-拉伸 FBAR 的耦合振动
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-21 DOI: 10.1016/j.ijmecsci.2024.109748
<div><div>The method of frequency spectrum quantitative prediction (FSQP) is extended to investigate high-frequency and mode-coupling vibrations of piezoelectric film bulk acoustic resonators (FBARs) subject to initial stress-strain biasing fields for the first time. In numerical examples, we explore the cases of uniaxial compressive and tensile initial stresses along the in-plane and thickness directions, respectively. Derived from the nonlinear electroelastic theory, the governing and constitutive equations for piezoelectric films under complex stress-strain biasing states are formulated. Based on these formulations, the first step of the FSQP involves obtaining exact dispersion curves of bulk waves propagating in FBARs with different stress-strain biasing fields through the classical displacement method. Subsequently, mode-coupling solutions of physical fields are constructed for the prestressed FBARs operating with the thickness-extensional mode by superimposing relevant eigenmodes in dispersion curves. The second step of the FSQP involves deriving Hamilton's principle of piezoelectric film with initial stress-strain biasing fields using the perturbation method. Finally, the frequency spectrograms describing coupling vibration intensities between the thickness-extensional mode and unwanted eigenmodes are obtained by substituting mode-coupling solutions into Hamilton's principle, which verifies the effectiveness of the extended FSQP method for addressing dynamic problems in FBARs with biasing fields. The influences of both the amplitudes and orientations of initial stresses on the frequency spectral curves are examined. Mode-shape diagrams and displacement distributions of mutually coupled eigenmodes are presented to illustrate diverse mode-coupling behaviors in thickness-extensional FBARs under complex stress-strain biasing states. Numerical results indicate that the stress-strain biasing fields significantly affect the electromechanical properties of piezoelectric films, including effective elastic, piezoelectric, and dielectric constants. Consequently, these stress-strain biasing states exert substantial changes in frequencies and propagation wavenumbers of various mode branches within frequency ranges of the thickness-extensional mode branch. Furthermore, due to changes in propagation wavenumber, frequency spectral curves experience remarkable horizontal shifts along the length-to-thickness ratio axis, significantly altering mode-coupling behaviors of FBARs. Induced initial strains can enhance shift amplitudes of frequency spectral curves caused by initial stresses. In addition, stress-strain biasing fields result in significant shifts of frequency spectral curves along the frequency axis through the strain-stiffening or -softening effect, which can be harnessed to modulate resonance frequencies of FBARs. This study offers a solid foundation for frequency tunability, mode-coupling control, and structural designs in FBAR devices with residu
我们首次将频谱定量预测(FSQP)方法扩展用于研究压电薄膜体声谐振器(FBAR)在初始应力应变偏置场作用下的高频振动和模态耦合振动。在数值示例中,我们分别探讨了沿平面方向和厚度方向的单轴压缩和拉伸初始应力的情况。根据非线性电弹性理论,我们制定了压电薄膜在复杂应力应变偏压状态下的控制方程和构成方程。基于这些公式,FSQP 的第一步包括通过经典位移法获得在不同应力应变偏置场中传播的体波的精确频散曲线。随后,通过叠加频散曲线中的相关特征模,为以厚度-伸长模工作的预应力 FBAR 构建物理场的模耦合解。FSQP 的第二步涉及使用扰动法推导具有初始应力应变偏置场的压电薄膜的汉密尔顿原理。最后,通过将模态耦合解代入汉密尔顿原理,得到描述厚度扩展模态与不需要的特征模态之间耦合振动强度的频率谱图,从而验证了扩展 FSQP 方法在解决带偏压场的 FBAR 动态问题中的有效性。研究了初始应力的振幅和方向对频谱曲线的影响。文中给出了相互耦合特征模态的模态振型图和位移分布图,以说明在复杂的应力应变偏置状态下,厚度-伸长 FBAR 的各种模态耦合行为。数值结果表明,应力应变偏压场会显著影响压电薄膜的机电特性,包括有效弹性、压电和介电常数。因此,这些应力应变偏压态对厚度-拉伸模式分支频率范围内各种模式分支的频率和传播波数产生了重大变化。此外,由于传播波数的变化,频谱曲线会沿长度-厚度比轴发生显著的水平移动,从而极大地改变 FBAR 的模耦合行为。诱导初始应变可增强初始应力导致的频谱曲线移动幅度。此外,应力-应变偏置场还会通过应变加固或软化效应导致频谱曲线沿频率轴发生显著偏移,这可用于调节 FBAR 的共振频率。这项研究为具有残余应力的 FBAR 器件的频率可调性、模式耦合控制和结构设计奠定了坚实的基础。
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引用次数: 0
Design of topology-optimized functionally graded porous structures under transient loads 瞬态载荷下拓扑优化的功能分级多孔结构设计
IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2024-09-21 DOI: 10.1016/j.ijmecsci.2024.109732
This paper presents a novel approach for designing functionally graded porous structures (FGPSs) at a macroscopic scale, where the main goal is to maximize their stiffness when subjected to time varying loads. Topology optimization is used to achieve the complex task of designing the size, shape, and distribution of pores in porous structures. We employ a local volume constraint that smoothly varies in space, leading to the formation of a graded structure consisting of varying sizes and shapes of solid and empty regions. Further constraints, such as global volume and static compliance, are incorporated into the optimization framework to improve the results. The modified solid isotropic material with penalization (SIMP) model is applied to interpolate the material properties. The design variables are filtered, and the projection technique is employed to obtain black-and-white topologies. The method of moving asymptotes (MMA) solves the optimization problem, which is a gradient-based algorithm. Sensitivities are computed using the adjoint variable method (AVM) within the discretize-then-differentiate strategy. The linear elastodynamic problem resulting from the transient finite element analysis (FEA) is solved with the implicit Newmark-β scheme. Several numerical examples are provided to demonstrate the effectiveness of the proposed approach in producing multiple closed- and open-cell composite foams tailored to specific design criteria. The optimized FGPSs have the potential to fulfill the requirements for both lightweight and energy absorption in applications subjected to dynamic loads, such as those found in the automotive, aerospace and biomedical industries.
本文提出了一种在宏观尺度上设计功能分级多孔结构(FGPS)的新方法,其主要目标是在承受随时间变化的载荷时最大限度地提高多孔结构的刚度。拓扑优化用于完成设计多孔结构中孔隙的大小、形状和分布的复杂任务。我们采用了在空间中平滑变化的局部体积约束,从而形成了由不同大小和形状的实心和空心区域组成的分级结构。我们还将全局体积和静态顺应性等其他约束条件纳入优化框架,以改进结果。修正的各向同性实心材料(SIMP)模型用于对材料属性进行插值。对设计变量进行过滤,并采用投影技术获得黑白拓扑结构。移动渐近线法(MMA)是一种基于梯度的算法,用于解决优化问题。在先离散后微分的策略下,使用邻接变量法(AVM)计算敏感性。瞬态有限元分析(FEA)产生的线性弹性动力学问题采用隐式 Newmark-β 方案求解。我们提供了几个数值示例,以证明所提出的方法在生产符合特定设计标准的多种闭孔和开孔复合泡沫方面的有效性。优化后的 FGPS 有可能满足汽车、航空航天和生物医疗行业等承受动态载荷的应用对轻质和能量吸收的要求。
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International Journal of Mechanical Sciences
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