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Band Gap Formation in Metamaterial Beam With Torsional Local Resonators for Vibration Suppression 利用扭转局部谐振器在超材料梁中形成带隙抑制振动
Yu Jian, Guobiao Hu, Lihua Tang, K. Aw
Locally resonant metamaterials have attracted lots of research interests for the application of vibration suppression which is a fundamental problem but remains a big challenge in the engineering field. The transverse wave propagation in a beam is through the transmission of the shear force and bending moment. Most designs of metamaterials in the existing literature exploit translational local resonators to induce reaction force to prevent the transmission of the shear force, hence the wave propagation. This paper studies a metamaterial beam attached with torsional local resonators. The reaction moments generated by the torsional resonators are expected to neutralize the bending moment in the beam, thus preventing the wave propagation. The existence of torsional resonators leads to the moment discontinuity conditions which cannot be directly taken into account using the Euler beam theory. Based on the Timoshenko beam theory, the band structure analysis is developed through a modal analysis based on the infinite periodic local resonator structure. The numerical results reveal that the locally resonant frequency corresponds to the upper bound of the band gap. Both infinitely long and finitely long beams are also modeled using finite element method. The transmittance is calculated to verify the band structure analysis.
局部谐振超材料在振动抑制方面的应用引起了广泛的研究兴趣,这是工程领域的一个基本问题,也是一个巨大的挑战。横波在梁中的传播是通过剪力和弯矩的传递。现有文献中大多数超材料设计利用平移局部谐振器诱导反作用力来阻止剪切力的传递,从而阻止波的传播。研究了一种带有扭转局部谐振腔的超材料梁。扭转谐振器产生的反作用力可以中和梁中的弯矩,从而阻止波的传播。扭转谐振子的存在导致了力矩不连续的条件,这是用欧拉梁理论不能直接考虑的。基于Timoshenko光束理论,通过基于无限周期局部谐振器结构的模态分析,发展了带结构分析。数值结果表明,局部谐振频率对应于带隙的上界。无限长梁和有限长梁也用有限元法进行了建模。通过计算透光率来验证波段结构分析。
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引用次数: 1
Part Authentication Using Indirect Electromechanical Impedance Measurements 使用间接机电阻抗测量的部件认证
M. Albakri, P. Tarazaga
Motivated by its success as a structural health monitoring solution, electromechanical impedance measurements have been utilized as a means for non-destructive evaluation of conventionally and additively manufactured parts. In this process, piezoelectric transducers are either directly embedded in the part under test or bonded to its surface. While this approach has proven to be capable of detecting manufacturing anomalies, instrumentation requirements of the parts under test have hindered its wide adoption. To address this limitation, indirect electromechanical impedance measurement, through instrumented fixtures or testbeds, has recently been investigated for part authentication and non-destructive evaluation applications. In this work, electromechanical impedance signatures obtained with piezoelectric transducers indirectly attached to the part under test, via an instrumented fixture, are numerically investigated. This aims to better understand the coupling between the instrumented fixture and the part under test and its effects ON sensitivity to manufacturing defects. For this purpose, numerical models are developed for the instrumented fixture, the part under test, and the fixture/part assembly. The frequency-domain spectral element method is used to obtain numerical solutions and simulate the electromechanical impedance signatures over the frequency range of 10–50 kHz. Criteria for selecting the frequency range that is most sensitive to defects in the part under test are proposed and evaluated using standard damage metric definitions. It was found that optimal frequency ranges can be preselected based on the fixture design and its dynamic response.
由于机电阻抗测量作为结构健康监测解决方案的成功,它已被用作传统和增材制造零件的无损评估手段。在这个过程中,压电换能器要么直接嵌入被测部件中,要么与被测部件表面结合。虽然这种方法已被证明能够检测制造异常,但被测部件的仪器要求阻碍了其广泛采用。为了解决这一限制,最近研究了通过仪表固定装置或试验台进行间接机电阻抗测量,用于零件认证和无损评估应用。在这项工作中,通过仪器夹具间接连接到被测部件的压电换能器获得的机电阻抗特征进行了数值研究。这是为了更好地理解仪器夹具和被测部件之间的耦合及其对制造缺陷灵敏度的影响。为此,为仪表夹具、被测零件和夹具/零件装配开发了数值模型。采用频域谱元法,对10 ~ 50khz范围内的机电阻抗特征进行了数值模拟。选择对被测部件缺陷最敏感的频率范围的标准被提出,并使用标准损伤度量定义进行评估。结果表明,可根据夹具设计及其动态响应预先选择最佳频率范围。
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引用次数: 0
Investigation of Analysis and Gradient-Based Design Optimization Using Neural Networks 基于神经网络的分析与梯度设计优化研究
K. Fuchi, Eric M. Wolf, D. Makhija, Nathan A. Wukie, Christopher R. Schrock, P. Beran
Design optimization of adaptive systems requires a robust analysis method that can accommodate various changes in design and boundary conditions. In this work, physics-informed neural networks (PINNs) are used to approximate solutions to differential equations across a range of problem parameter values. This mesh-free method simply requires residual evaluation at sampling points within the analysis domain and along boundaries, and the training process does not require any reference problem to be solved through conventional solution methods. The trained model can be used to predict the solution field, conduct parameter space analysis and design optimization. Using automatic differentiation, the design objective and their derivatives can be computed as a post process for a gradient-based design optimization. The method is demonstrated in a 1D heat transfer problem governed by the steady-state heat equation. Use of the PINN model for design optimization is illustrated in a problem of finding a material transition location to minimize temperature at a specified location. The PINN model that does not include problem parameters as input can be trained to within 0.05% error. PINN models that involve problem parameters as inputs are more difficult to train, especially when the input-to-output relationship is complex.
自适应系统的优化设计需要一种稳健的分析方法,能够适应设计和边界条件的各种变化。在这项工作中,物理信息神经网络(pinn)用于在一系列问题参数值上近似微分方程的解。这种无网格方法只需要在分析域内和沿边界的采样点处进行残差评估,并且训练过程不需要通过常规求解方法求解任何参考问题。训练后的模型可用于预测解域,进行参数空间分析和设计优化。利用自动微分,设计目标及其导数可以作为基于梯度的设计优化的后处理进行计算。以一维稳态热方程传热问题为例验证了该方法的有效性。利用PINN模型进行设计优化,说明了一个问题,找到一个材料的过渡位置,以最小化温度在一个指定的位置。不包含问题参数作为输入的PINN模型可以被训练到误差在0.05%以内。将问题参数作为输入的PINN模型更难训练,特别是当输入输出关系很复杂时。
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引用次数: 2
Impact of Including Electronics Design on Design of Intelligent Structures: Applications to Multifunctional Structures for Attitude Control (MSAC) 电子设计对智能结构设计的影响:在姿态控制多功能结构中的应用
Vedant, James T. Allison
Multifunctional Structures for Attitude Control (MSAC) is a new spacecraft attitude control system that utilizes deployable panels as multifunctional intelligent structures to provide both fine pointing and large slew attitude control. Previous studies introduced MSAC design and operation concepts, simulation-based design studies, and Hardware-in-the-Loop (HIL) validation of a simplified prototype. In this article, we expand the scope of design studies to include individual compliant piezo-electric actuators and associated power electronics. This advance is a step toward high-fidelity MSAC system operation, and reveals new design insights for further performance enhancement. Actuators are designed using pseudo rigid body dynamic models (PRBDMs), and are validated for steady-state and step responses against Finite Element Analysis. The drive electronics model consists of a few distinct topologies that will be used to evaluate system performance for given mechanical and control system designs. Subsequently, a high-fidelity multiphysics multibody MSAC system model, based on the validated compliant actuators and drive electronics, is developed to support implementation of MSAC Control Co-design optimization studies. This model will be used to demonstrate the impact of including the power electronics design in the Optimal Control Co-Design domain. The different control trajectories are compared for slew rates and the vibrational jitter introduced to the satellite. The results from this work will be used to realize closed-loop control trajectories that have minimal jitter introduction while providing high slew rates.
多功能姿态控制结构(MSAC)是一种新型的航天器姿态控制系统,它利用可展开面板作为多功能智能结构,提供精细指向和大回转姿态控制。先前的研究介绍了MSAC的设计和操作概念,基于仿真的设计研究,以及简化原型的硬件在环(HIL)验证。在这篇文章中,我们扩大了设计研究的范围,包括个人兼容的压电致动器和相关的电力电子设备。这一进展是迈向高保真MSAC系统操作的一步,并为进一步提高性能揭示了新的设计见解。采用伪刚体动力学模型(prbdm)设计了执行器,并通过有限元分析对其稳态和阶跃响应进行了验证。驱动电子模型由几个不同的拓扑组成,将用于评估给定机械和控制系统设计的系统性能。随后,基于验证的柔性致动器和驱动电子器件,建立了高保真的多物理场多体MSAC系统模型,以支持MSAC控制协同设计优化研究的实施。该模型将用于演示将电力电子设计纳入最优控制协同设计领域的影响。比较了不同的控制轨迹对摆率和引入卫星的振动抖动的影响。这项工作的结果将用于实现具有最小抖动引入的闭环控制轨迹,同时提供高转换率。
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引用次数: 3
Functional Description for Thick Bistable Carbon Fiber Laminates With Rayleigh-Ritz, Abaqus, and Experiments 用Rayleigh-Ritz, Abaqus和实验对厚双稳态碳纤维层压板的功能描述
Christopher H. Knippenberg, O. Myers, Christopher Nelon
Composite laminates constructed in an asymmetric layup orientation of [0i, 90i], i > 0, exhibit two stable equilibrium positions and may be actuated to snap from a primary cure shape to an inversely related secondary stable shape. This study aims to aid in developing a comprehensive description of thick bistable laminates, whose increased thickness risks the loss of bistability, through previously established analytical approaches and verification via experimentation. The principle of minimum potential energy is applied to two materials and analyzed using the Rayleigh-Ritz minimization technique to determine the cure shapes of carbon fiber reinforced polymer laminates composed of AS4/8552 and TR50S-12k carbon fibers. These materials were modeled to act as square thick bistable laminated composites with sidelengths up to 0.914m. Visualizations of the out-of-plane displacements are shown with a description of the Rayleigh-Ritz analysis. Additionally, a finite element model (FEM) created in Abaqus CAE 6.14 and experiments using DA409/G35 and TR50S-12K/NP301 prepreg were used to further describe and develop the fundamental description for thick bistable laminates in terms of loss of bistability, actuation load, and principle shape. The analytical model is an extension of Hyer’s (2002) and Mattioni’s (2009) work applied to thick bistable laminates where the primary assumption was the x-axis curvature equaled the negative y-axis curvature for the primary and secondary stable positions, respectively. This assumption leads to the already cemented conclusion that bistable laminates, once cured, take on one of two inversely related paraboloid shapes. FEA simulations contradicted this by showing an average 11% difference in curvature magnitude for the aforementioned shapes. Furthermore, fourth order polynomials were used to describe the curvature along the axes, differing from the previously used Menger curvatures, (three-point approximation). Bifurcation plots using peak deflections and average curvature generated from FEA simulations clearly showed bistability existed to approximately 50 plies; however, the energy landscape plots indicated a significant degradation of bistability starting at 36 plies. Experimentation was performed on a test stand mimicking the same boundary conditions used in FEA while applying a central out-of-plane load. Experimental observations showed decreased peak displacements of stable cure shapes. Observations also indicated that the x-axis curvature had a significant difference in magnitude compared to the negative y-axis curvature. However, the existence of bistability agreed with FEA energy landscape plots, with clear “snaps” ending at thicknesses of 28–36 plies. Moreover, actuation force was found to correlate well with FEA simulations. Differences in the critical point can be attributed to the combination of material property differences for DA409 and TR50S-12K, failure to capture polymer relaxation, limitations of the ex
以[0i, 90i], i > 0的不对称铺层方向构建的复合材料层压板具有两个稳定的平衡位置,并且可以被驱动从初级固化形状转变为反向相关的次级稳定形状。本研究旨在通过先前建立的分析方法和实验验证,帮助开发厚双稳层压板的全面描述,其增加的厚度有失去双稳性的风险。将最小势能原理应用于两种材料,采用瑞利-里兹最小化技术对AS4/8552和TR50S-12k碳纤维复合材料层合板的固化形状进行了分析。这些材料被建模为边长可达0.914m的方形厚双稳态层合复合材料。面外位移的可视化显示与瑞利-里兹分析的描述。此外,利用Abaqus CAE 6.14软件建立有限元模型,并利用DA409/G35和TR50S-12K/NP301预浸料进行实验,进一步从双稳损失、驱动载荷和原理形状等方面对厚双稳层压板进行了基本描述和发展。该解析模型是Hyer(2002)和Mattioni(2009)对厚双稳态层压板的扩展,其中主要假设分别是主稳定位置和次稳定位置的x轴曲率等于负y轴曲率。这一假设导致了已经得到证实的结论,即双稳态层叠板一旦固化,就会呈现出两种相反的抛物面形状之一。有限元模拟与此相矛盾,显示了上述形状的平均11%的曲率大小差异。此外,四阶多项式被用来描述沿轴的曲率,不同于以前使用的门格尔曲率(三点近似)。利用峰值挠度和平均曲率绘制的分岔图清楚地表明,双稳性存在于约50层;然而,能量景观样地表明,从36层开始,双稳定性显著下降。实验在一个试验台上进行,在施加中心面外载荷的情况下,模拟了有限元分析中使用的相同边界条件。实验观察表明,稳定固化形状的峰值位移减小。观察还表明,与负y轴曲率相比,x轴曲率的幅度有显著差异。然而,双稳性的存在与FEA能量景观图一致,在28-36层的厚度处有明显的“断裂”。此外,驱动力与有限元模拟结果有很好的相关性。临界点的差异可归因于DA409和TR50S-12K的材料性能差异,未能捕获聚合物弛豫,实验设置的局限性以及手工铺层制造错误。最后,本文增加了在宏观尺度应用中使用较厚层压板的可行性,在这些应用中,形状变形或形状保持属性是必要的约束,尽管只有在预期低载荷的情况下。
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引用次数: 0
Real-Time Model Updating Algorithm for Structures Experiencing High-Rate Dynamic Events 结构高速率动态事件的实时模型更新算法
Seong Hyeon Hong, Claire Drnek, Austin Downey, Yi Wang, J. Dodson
Real-time model updating of active structures subject to unmodeled high-rate dynamic events require structural model updates on the timescale of 2 ms or less. Examples of active structures subjected to unmodeled high-rate dynamic events include hypersonic vehicles, active blast mitigation, and orbital infrastructure. Due to the unmodeled nature of the events of interest, the real-time model updating algorithm should circumvent any model pre-calculations. In this work, we present a methodology that updates the finite element analysis (FEA) model of a structure experiencing varying dynamics through online measurements. The algorithm is demonstrated for a testbed, comprised of a cantilever beam and a roller that serves as movable support. The structure’s state is updated (i.e. the position of the moving roller) by continuously updating the associated FEA model through an online adaptive meshing and search algorithm. The structure’s state is continuously estimated by comparing the measured signals with FEA models. New FEA models are built based on the enhanced estimate of the structure’s state through adaptive meshing for modal analysis and adaptive search space for the FEA model selection. The proposed methodology is verified experimentally in real-time using the testbed. It is demonstrated that the adaptive features can achieve accurate state estimations within the required 2 ms timescale.
面对未建模的高速率动态事件,主动结构的实时模型更新需要在2ms或更短的时间尺度上进行结构模型更新。受到未建模的高速率动态事件影响的主动结构包括高超音速飞行器、主动爆炸缓减和轨道基础设施。由于感兴趣的事件的未建模性质,实时模型更新算法应该绕过任何模型预计算。在这项工作中,我们提出了一种方法,通过在线测量来更新经历变化动力学的结构的有限元分析(FEA)模型。该算法在一个由悬臂梁和作为活动支撑的滚轮组成的试验台上进行了验证。通过在线自适应网格划分和搜索算法,通过不断更新相关的有限元模型来更新结构的状态(即运动滚子的位置)。通过实测信号与有限元模型的比较,连续估计结构的状态。通过模态分析的自适应网格划分和模型选择的自适应搜索空间对结构状态进行增强估计,建立新的有限元模型。该方法在实验平台上进行了实时实验验证。结果表明,自适应特征可以在要求的2ms时间尺度内实现精确的状态估计。
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引用次数: 3
Design of a Smart Morphing Wing Using Integrated and Distributed Trailing Edge Camber Morphing 基于集成分布式后缘弧度变形的智能变形机翼设计
T. Mkhoyan, N. R. Thakrar, R. Breuker, J. Sodja
In this study, the design and development of an autonomous morphing wing concept were investigated. This morphing wing was developed in the scope of, the Smart-X project, aiming to demonstrate in-flight performance optimisation. This study proposed a novel distributed morphing concept, with six Translation Induced Camber (TRIC) morphing trailing edge modules, inter-connected triangular skin segments joined by an elastomer material to allow seamless variation of local lift distribution along the wingspan. An FSI structural optimisation tool was developed, to achieve this optimised design, and to produce an optimal laminate design of fibre Glass weave material, capable of reaching target shapes and minimise actuation loads. Analysis of the kinematic model of the embedded actuator was performed, and a conventional actuator design was selected to continuously operate at the required load and fulfil both static and dynamic requirements in terms of bandwidth, actuation force and stroke. Preparations were made in this study for the next stage of the Smart-X design, to refine the morphing mechanism design and build a functional demonstrator for wind tunnel testing.
在这项研究中,研究了自主变形翼概念的设计和开发。这种变形机翼是在Smart-X项目的范围内开发的,旨在展示飞行性能优化。该研究提出了一种新颖的分布式变形概念,采用6个可变形后缘模块,由弹性体材料连接的相互连接的三角形皮段,允许沿翼展的局部升力分布无缝变化。开发了FSI结构优化工具,以实现这种优化设计,并产生最佳的玻璃纤维编织材料层压板设计,能够达到目标形状并最小化驱动负载。对嵌入式作动器的运动学模型进行了分析,选择了一种传统的作动器设计,使其在要求的负载下连续工作,并在带宽、作动力和行程方面满足静态和动态要求。本研究为Smart-X下一阶段的设计做准备,完善变形机构设计,建立风洞测试的功能演示器。
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引用次数: 11
Design and Optimization of Piezoelectric Actuators for Aeroacoustic Noises Control in a Turbofan 涡扇气动噪声控制压电驱动器的设计与优化
M. Perez, M. Ezzine, K. Billon, V. Clair, J. Mardjono, M. Collet
This paper reports on the design and optimization of different types of piezoelectric actuators for aeroacoustic control applications. This study was carried out within the context of the European project CleanSky 2/InnoSTAT. The aim of our work is to reduce the aeroacoustic noises that appear in an airplane turbofan by adding an area of piezoelectric actuators on the Outlet Guide Vanes (OGV). These piezoelectric structures will subsequently be controlled with an active approach and tested in the open-jet anechoic wind tunnel at LMFE. The noise source which has to be reduce/control comes from vortices located in the turbulent flow (which can for example be created by the fan module) interacting with the stator blades. The predominant frequencies and the pressure fluctuations levels related to these vortices rely on the airflow speed and are fixed between 1000Hz and 2000Hz in our case. To reach the target, we plan to manufacture an area of piezoelectric actuators on the intrados and the extrados of the stator blades in order to control the response of the blade to the turbulence of the airflow responsible for the aeroacoustic noise. Several adjacent blades will be equipped with this type of transducers. This study outline the design and the optimization of each piezoelectric cell in order to achieve good results in the frequency range previously defined as well as an acceptable mechanical strength of the blade. A most detailed study on the active shunt will be investigate later on.
本文报道了不同类型气动声控制用压电作动器的设计与优化。这项研究是在欧洲项目CleanSky 2/InnoSTAT的背景下进行的。我们的工作目的是通过在出口导叶(OGV)上增加压电致动器区域来降低飞机涡扇中出现的气动噪声。随后,这些压电结构将采用主动方法进行控制,并在LMFE的开放式射流消声风洞中进行测试。必须减少/控制的噪声源来自于与静叶相互作用的湍流中的涡流(例如风扇模块产生的涡流)。与这些旋涡相关的主要频率和压力波动水平取决于气流速度,在我们的情况下固定在1000Hz和2000Hz之间。为了达到这个目标,我们计划在静叶的内腔和外腔上制造一个压电致动器区域,以控制叶片对造成气动噪声的气流湍流的响应。几个相邻的叶片将配备这种类型的传感器。本研究概述了每个压电单元的设计和优化,以便在先前定义的频率范围内取得良好的效果以及叶片的可接受的机械强度。关于主动分流的最详细的研究将在后面进行。
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引用次数: 1
期刊
ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
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