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Artificial swim by undulating rigid flagellum with joint controllers 通过带有关节控制器的起伏刚性鞭毛进行人工游泳
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-09 DOI: 10.1088/1361-6439/ad1c73
Ryosuke Yano, H. Kuroda
In this paper, we investigate locomotion of the artificial (robotic) swimmer by the undulating rigid flagellum, whose joins are controlled by actuators. The locomotion of the swimmer with the undulating rigid flagellum inside the two dimensional channel sandwiched by two non-slip walls is numerically analyzed using the immersed boundary Lattice Boltzmann method (IB-LBM). In order to calculate the flow field under the high Reynolds number, multi-relaxation-time (MRT) scheme is applied. Our numerical results show that the optimal Reynolds number exits to maximize locomotion distance, whereas the direction of locomotion can be reversed in the low and high Reynolds number limits.
在本文中,我们研究了人工(机器人)游泳者的起伏刚性鞭毛运动,其连接处由致动器控制。我们采用沉浸边界玻尔兹曼网格法(IB-LBM)对带有起伏刚性鞭毛的游泳者在由两面防滑壁夹住的二维通道内的运动进行了数值分析。为了计算高雷诺数下的流场,采用了多松弛时间(MRT)方案。我们的数值结果表明,最佳雷诺数可使运动距离最大化,而在低雷诺数和高雷诺数限制下,运动方向可能相反。
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引用次数: 0
Experimental study on femtosecond laser ablation of 4H-SiC substrate 飞秒激光烧蚀 4H-SiC 衬底的实验研究
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-09 DOI: 10.1088/1361-6439/ad1c74
Ziqiang Zhao, Lin Zhao, Yun Peng
Data Access Statement: Research data supporting this publication are available from the NN repository at located at www.NNN.org/download/. Silicon carbide (SiC) is an ideal substrate for manufacturing high-power electronic devices and microwave devices, and has broad application prospects. The surface treatment of SiC wafers plays a critical role and faces challenges in the semiconductor industry. Among the multiple treatment methods, the laser-based method has gradually attracted the attention of scholars. Therefore, this research uses a femtosecond laser to ablate 4H-SiC sliced wafers and analyzes the influence of key parameters, such as laser pulse energy, defocus amount, repetition frequency, and scanning intervals, on the laser ablation depth, width, and surface morphology. Scanning electron microscopy (SEM) and laser coherence-focused microscopy were used to characterize the laser ablation surface. The results show that under a defocus amount of +6 mm, a laser pulse energy of 87.5 μJ, scanning speed of 500 mm/s, and pulse frequency of 300 kHz. The results show that the optimized surface roughness (Sa) was 0.267μm, and brittle fracture areas such as microcracks and pits on the original surface were removed. Effective removal facilitates further material surface processing, which provides valuable insights for similar researchers and benefits for the semiconductor industry. Ethical Compliance: All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki Declaration and its later amendments or comparable ethical standards.
数据访问声明:支持本出版物的研究数据可从位于 www.NNN.org/download/ 的 NN 储存库获取。碳化硅(SiC)是制造大功率电子器件和微波器件的理想衬底,具有广阔的应用前景。碳化硅晶片的表面处理在半导体工业中起着至关重要的作用,同时也面临着挑战。在多种处理方法中,基于激光的方法逐渐引起了学者们的关注。因此,本研究采用飞秒激光对 4H-SiC 切片进行烧蚀,并分析了激光脉冲能量、散焦量、重复频率和扫描间隔等关键参数对激光烧蚀深度、宽度和表面形貌的影响。扫描电子显微镜(SEM)和激光相干聚焦显微镜用于表征激光烧蚀表面。结果表明,在散焦量为 +6 mm、激光脉冲能量为 87.5 μJ、扫描速度为 500 mm/s、脉冲频率为 300 kHz 的条件下。结果表明,优化后的表面粗糙度(Sa)为 0.267μm,原始表面上的微裂纹和凹坑等脆性断裂区域已被去除。有效的去除促进了材料表面的进一步加工,为类似研究人员提供了宝贵的见解,也为半导体行业带来了益处。伦理合规性:在涉及人类参与者的研究中执行的所有程序均符合机构和/或国家研究委员会的伦理标准,以及 1964 年《赫尔辛基宣言》及其后期修订版或类似的伦理标准。
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引用次数: 0
A liquid-metal-based microscale calorimetric in-chip flow sensor for flow rate measuring 用于测量流量的液态金属微尺度热量计片内流量传感器
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-09 DOI: 10.1088/1361-6439/ad1c75
Yuqin Deng, Zi Ye, Zhongshan Deng, Jie Hong, Huimin Zhang, Lin Gui
This work proposes a liquid-metal-based calorimetric micro-flow sensor within a polydimethylsiloxane (PDMS) chip. It can measure the flow rate of fluid in microscale channels, with a range as low as several microliters per minute. This in-chip sensor is proposed to solve the issue of detecting the flow rate in microfluidic systems. To make the sensor compatible with PDMS microfluidic chips, low-melting-point gallium-based alloy and bismuth-based (bi-based) alloy are used to make the micro heater and bi-metal thermocouples, for these alloys can be easily injected into a PDMS chip to form electrodes. To minimize heat resistance (or temperature difference) between fluid and the detecting ends of thermocouples, these ends are directly exposed to liquid in the flow channel with the help of a special reversible bonding technology. Thermocouples are connected in parallel to improve the sensor’s response. A novel method to bond and electrically connect the sensor to a PCB (print circuit board) is also elaborated. Since the calorimetric flow sensor is sensitive to heating power, fluid temperature and environment cooling, a dimensionless parameter less independent of these factors is deduced from heat transfer theory, and this idea is used in result processing to offset the bad effect. Experiments with pure water show that this sensor can be used to detect flow rates, with a resolution up to 4 µl/min/mV and a range of 12 µl/min in this case, and that at different heating powers, the thermal potential results vary significantly whereas the dimensionless results nearly keep the same. Present work indicates that this sensor has the potential to be integrated into a PDMS microfluidic system and to provide accurate and stable results if a dimensionless method is used in data processing.
这项研究提出了一种在聚二甲基硅氧烷(PDMS)芯片内的液态金属热量微流量传感器。它可以测量微米级通道中流体的流速,测量范围低至每分钟几微升。提出这种片内传感器是为了解决微流体系统中的流速检测问题。为了使传感器与 PDMS 微流控芯片兼容,使用了低熔点镓基合金和铋基(双基)合金来制作微加热器和双金属热电偶,因为这些合金可以很容易地注入 PDMS 芯片中形成电极。为了尽量减小流体与热电偶检测端之间的热阻(或温差),热电偶检测端借助特殊的可逆键合技术直接暴露在流道中的液体中。并联热电偶可提高传感器的响应速度。此外,还阐述了一种将传感器与印刷电路板(PCB)进行粘合和电气连接的新方法。由于热量流量传感器对加热功率、流体温度和环境温度敏感,因此从传热理论中推导出了一个与这些因素不太相关的无量纲参数,并将这一想法用于结果处理,以抵消不良影响。纯水实验表明,该传感器可用于检测流速,分辨率可达 4 µl/min/mV,量程为 12 µl/min。目前的工作表明,如果在数据处理中使用无量纲方法,该传感器有可能集成到 PDMS 微流控系统中,并提供准确、稳定的结果。
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引用次数: 0
Precise In-situ Fabrication of Perovskite Single Crystal Arrays via Cosolvent based Electrohydrodynamic Printing 通过基于共溶剂的电流体动力打印技术原位精确制备 Perovskite 单晶阵列
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-04 DOI: 10.1088/1361-6439/ad1b1b
Rui Yu, Wenshuo Xie, Weili Yang, Xinrui Yang, Yongqing Duan
Single crystal (SC) perovskites exhibit superior stability and optoelectronic performance compared to polycrystalline ones, offering significant potential for high-performance and low-cost photovoltaic/optoelectronic applications. However, conventional SC growth processes often require intricate cutting or transferring of SC in the manufacturing of optoelectronic devices. High-resolution, in-situ, and scalable fabrication of perovskite SC arrays remain challenging. In this work, we propose a method for in-situ deposition of cosolvent based perovskite precursor solutions using electrohydrodynamic (EHD) printing technology. The addition of a cosolvent (which exhibits good chemical compatibility with the precursor and the main solvent, accompanied by lower solubility and vapor pressure) to the mixed solution promotes early-stage supersaturation and nucleation in the solution, enabling precise control over crystal morphology, size, and positioning through in-situ EHD printing. The effect of different cosolvent ratios on SC growth and the inhibition of parasitic crystallization by altering the contact angle of substrate were investigated. Finally, the parameters for precise control of the EHD printing process were investigated, enabling the growth of SC arrays ranging from 1 to 35 μm in size. This strategy offers a direct patterning approach for SC perovskite preparation without complex temperature control or multi-step operation. The printed patterns exhibit high resolution and excellent uniformity, offering significant potential for manufacturing SC-based perovskite optoelectronic devices with precise size and positioning control.
与多晶体相比,单晶(SC)包晶石具有更高的稳定性和光电性能,为高性能、低成本的光伏/光电应用提供了巨大潜力。然而,在制造光电器件时,传统的多晶体生长工艺往往需要对多晶体进行复杂的切割或转移。高分辨率、原位和可扩展的制造包晶SC阵列仍然具有挑战性。在这项工作中,我们提出了一种利用电流体动力(EHD)印刷技术原位沉积共溶剂型包晶前驱体溶液的方法。在混合溶液中加入共溶剂(与前驱体和主溶剂具有良好的化学相容性,同时具有较低的溶解度和蒸汽压)可促进溶液的早期过饱和和成核,从而通过原位 EHD 印刷技术实现对晶体形态、尺寸和定位的精确控制。研究了不同共溶剂比例对 SC 生长的影响,以及通过改变基底的接触角来抑制寄生结晶。最后,研究了精确控制 EHD 印刷过程的参数,使 SC 阵列的生长尺寸从 1 微米到 35 微米不等。这种策略为制备 SC 包晶提供了一种直接图案化方法,无需复杂的温度控制或多步骤操作。印刷图案具有高分辨率和极佳的均匀性,为制造具有精确尺寸和定位控制的 SC 型包晶光电器件提供了巨大的潜力。
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引用次数: 0
Electrostatically actuated all metal MEMS Pirani gauge with tunable dynamic range 动态范围可调的静电致动全金属 MEMS 皮拉尼计
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-04 DOI: 10.1088/1361-6439/ad1b1a
Manu Garg, D. S. Arya, Sushil Kumar, Khanjan Joshi, M. Yousuf, Yi-Yen Chiu, PUSHPAPRAJ SINGH
An electrostatically actuated all-metal MEMS Pirani gauge with a tunable dynamic range is proposed. Contrary to the conventional fixed gap Pirani gauges, an electrostatic mechanism is employed to tune the gaseous conduction gap. Due to the electrostatic force between the heating element and heat sink, this tuning results in shifting the transition pressure to a higher pressure. As a result, the operating range of the Pirani gauge can be tuned depending on the magnitude of the actuation voltage. Theoretical estimation of the transition pressure corresponding to different gaseous conduction gaps is also presented. Depending on the available margin of gap tuning, the electromechanical and electrothermal analyses are carried out in COMSOL Multiphysics. The analytical approach is validated by experimentally characterizing the fabricated device. The experimentally tested device with the proposed actuation mechanism shows an 11.2 dB increase in dynamic range in comparison to the conventional design. In a CMOS-compatible fabrication process flow, the proposed gauge can be used to monitor vacuum from 40 Pa to 5×10^5 Pa with the electrostatic actuation.
本文提出了一种动态范围可调的静电致动全金属 MEMS 皮拉尼规。与传统的固定间隙皮拉尼真空计不同,它采用静电机制来调整气体传导间隙。由于加热元件和散热器之间存在静电力,这种调整会导致过渡压力向更高压力移动。因此,皮拉尼真空计的工作范围可根据致动电压的大小进行调整。此外,还对不同气体传导间隙对应的过渡压力进行了理论估算。根据可用的间隙调整余量,在 COMSOL Multiphysics 中进行了机电和电热分析。通过对制造的器件进行实验表征,验证了分析方法。与传统设计相比,采用拟议致动机制的实验测试器件的动态范围增加了 11.2 dB。在与 CMOS 兼容的制造工艺流程中,利用静电致动,所提出的真空计可用于监测从 40 Pa 到 5×10^5 Pa 的真空度。
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引用次数: 0
Carbon dioxide reduction utilizing a bismuth halide perovskite as immobilized photocatalyst in a 3D printed microreactor 利用卤化铋过氧化物作为固定光催化剂在 3D 打印微反应器中还原二氧化碳
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-04 DOI: 10.1088/1361-6439/ad1b1c
José Andrés Santamaría Cordero, Hannia López Mena, Marisol Ledezma, Leslie W. Pineda, J. E. Duran Herrera
The rising concerns about CO2 levels in the atmosphere and energy dependency on non-renewable sources, such as fossil fuels, could find an integral solution in CO2 photocatalytic reduction. The present work explores two alternatives to the main hindering factors for this reaction, i.e., the reactor configuration and the photocatalyst utilized. A microreactor was designed and 3D printed, providing a cheap and versatile reaction platform. Three bismuth halide perovskites, Cs3Bi2Cl9, Cs3Bi2I9, and Cs4MnBi2Cl12, were synthesized and characterized by their band gaps (Eg); Cs3Bi2I9 presented the lowest Eg and was therefore chosen for further evaluation as potential CO2-reduction photocatalyst. Aqueous-phase photocatalytic CO2 reduction was achieved using this perovskite in the microreactor, obtaining CO as a reduction product with maximal production rates of 737 μmol gcat -1 h-1. The reaction system was evaluated under different flow rates and light intensities. A balance between space-time and reactant feed was found to define the behavior of CO concentration and production in the microreactor. For the light intensity, it was observed that as it increased, both CO production and concentration increased due to generating more electron-hole pairs, favoring the photocatalytic reaction. With these results, Cs3Bi2I9 perovskite immobilized in the designed microreactor demonstrates having great potential as an effective CO2 photocatalytic reduction system.
人们对大气中二氧化碳含量的日益关注以及对化石燃料等不可再生资源的能源依赖,可以在二氧化碳光催化还原反应中找到整体解决方案。本研究针对这一反应的主要阻碍因素,即反应器配置和所使用的光催化剂,探索了两种替代方案。我们设计并三维打印了一个微型反应器,为反应提供了一个廉价且多功能的平台。合成了三种卤化铋包晶,即 Cs3Bi2Cl9、Cs3Bi2I9 和 Cs4MnBi2Cl12,并对它们的带隙(Eg)进行了表征;Cs3Bi2I9 的 Eg 最低,因此被选为潜在的二氧化碳还原光催化剂进行进一步评估。在微反应器中使用这种包晶石实现了水相光催化二氧化碳还原,以 737 μmol gcat -1 h-1 的最大生产率获得了二氧化碳作为还原产物。在不同流速和光照强度下对反应系统进行了评估。结果发现,时空与反应物进料之间的平衡决定了微反应器中 CO 浓度和产量的变化。在光照强度方面,观察到随着光照强度的增加,CO 的产生量和浓度都会增加,这是因为产生了更多的电子-空穴对,有利于光催化反应。这些结果表明,固定在所设计的微反应器中的 Cs3Bi2I9 包晶具有作为一种有效的二氧化碳光催化还原系统的巨大潜力。
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引用次数: 0
Large Area Nanoscale Patterning of Functional Materials Using Organosilicate ink based Nanotransfer Printing 利用基于有机硅油墨的纳米转移印花技术实现功能材料的大面积纳米级图案化
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2024-01-04 DOI: 10.1088/1361-6439/ad1b1d
Stephen Binderup, V. Korampally
This paper presents a versatile nanotransfer printing method for achieving large-area sub-micron patterns of functional materials. Organosilicate ink formulations combined with effective release layers have been shown to facilitate patterning of materials through the commonly used patterning approaches – lift off, physical etching and chemical etching. In this paper, we demonstrate that organosilicate ink formulations function as an effective resist owing to its superior physico-chemical stability whereas the release layers ensure clean removal of the resist post patterning. We successfully demonstrate patterning of sub-micron structures (800 nm feature sizes) of chromium metal through the lift off approach, silicon through reactive ion etching technique and silicon dioxide through wet chemical etching technique illustrating the versatility of the reported method. This patterning methodology represents a significant advancement in enabling nanostructure fabrication within resource-constrained laboratories. The approach requires nothing more than a master mold containing the desired structures, a spin coater, a low-temperature hotplate, and a desktop reactive ion etch tool.
本文介绍了一种实现大面积亚微米功能材料图案的多功能纳米转移印刷方法。有机硅油墨配方与有效的剥离层相结合,已被证明可通过常用的图案化方法--掀起、物理蚀刻和化学蚀刻--促进材料的图案化。在本文中,我们展示了有机硅油墨配方因其卓越的物理化学稳定性而成为一种有效的抗蚀剂,而剥离层则可确保在图案化后干净地去除抗蚀剂。我们成功地演示了通过升降方法对亚微米结构(特征尺寸为 800 纳米)的金属铬、通过反应离子蚀刻技术对硅以及通过湿化学蚀刻技术对二氧化硅进行图案化,说明了所报告方法的多功能性。这种图案化方法是在资源有限的实验室内实现纳米结构制造的一大进步。这种方法只需要一个包含所需结构的母模、一个旋涂机、一个低温热板和一个台式反应离子刻蚀工具。
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引用次数: 0
Seven-shaped beam design for improving the sensitivity of two-dimensional MEMS sensors 用于提高二维 MEMS 传感器灵敏度的七形梁设计
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-19 DOI: 10.1088/1361-6439/ad1709
Nanyan Zhou, Wu Liu, Feng Cui, Xinwei Zhang, Leyang Lv
The stiffness of the connecting beam is one of the most crucial factors affecting the performance of MEMS sensors. Many traditional methods reduce the stiffness by changing the parameters or number of connecting beams. This paper introduces a seven-shaped beam structure used for MEMS sensor. The acute angle between its two segments of seven-shaped structure realizes lower stiffness. Compared with the crab-leg beam, it can bring a maximum sensitivity gain of 1.29 times through different included angle designs. At the same time, compared with the combined beam, seven-shaped combined beam can bring a maximum sensitivity gain of 1.6 times. By using the seven-shaped beam, the two-dimensional MEMS sensor has been designed and fabricated. According to the experimental results, it achieved a detection sensitivity of 25 fF/g. The relative error of the differential capacitance change between the measurement result and the simulation result is only 8.6%.
连接梁的刚度是影响 MEMS 传感器性能的最关键因素之一。许多传统方法通过改变连接梁的参数或数量来降低刚度。本文介绍了一种用于 MEMS 传感器的七形梁结构。七形结构的两段之间的锐角实现了较低的刚度。与蟹腿梁相比,通过不同的包含角设计,它能带来 1.29 倍的最大灵敏度增益。同时,与组合梁相比,七字形组合梁可带来 1.6 倍的最大灵敏度增益。利用七形光束,设计并制造出了二维 MEMS 传感器。实验结果表明,它的检测灵敏度达到了 25 fF/g。测量结果与模拟结果之间的差分电容变化相对误差仅为 8.6%。
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引用次数: 0
Design and fabrication of microfluidic devices: a cost-effective approach for high throughput production 微流控装置的设计与制造:高通量生产的经济有效方法
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-11 DOI: 10.1088/1361-6439/ad104b
Tony Thomas, Amit Agrawal
Microdevices have been recognized as a potential platform for performing numerous biomedical analysis and diagnostic applications. However, promising and viable techniques for a cost-effective and high throughput production of microfluidic devices still remain as a challenge. This paper addresses this problem with an alternative solution for the fabrication of microfluidic devices in a simple and efficient manner. We utilized laser-assisted engraving technique to fabricate a master mold on an acrylic sheet of different thicknesses from 4 to 20mm. Low cost indigenously developed CO2 (10.6μm wavelength) laser engraving device was used for the experiments. The effect of various laser parameters such as power and speed of operation on the height of engraved structures was studied in detail. Optimal engraving results were obtained with a laser speed of 200–250mm s−1 with a spacing interval of 0.002mm at a laser power of 10–12W. Master mold of microdevice with a channel width of 100μm were produced using this technique. The replica transfer was performed by a simple imprinting method using a benchtop universal testing machine that can provide a maximum compressive load upto 1kN. The replicas were successfully generated on various thin film substrates including polymers, plastics, Whatman filter paper, teflon, vinyl sheets, copper, and aluminum sheets. The effect of load applied on the depth of the microfluidic channel was studied for the substrates such as teflon and Whatman filter paper. A load of 1kN can generate a depth of a few hundred micrometers on various substrates mentioned above. The replicas were also transferred to thermoformable PETG (polyethylene terephthalate glycol) sheets under load with an elevated temperature. The channel-imprinted PETG substrates were later sandwiched between two acrylic sheets with adhesive-coated polymer sheets and screws at the corners. Soft lithographic techniques were also performed to replicate the channel on a poly dimethyl siloxane substrate which was later bonded to a glass plate using an oxygen plasma cleaner device. Fluidic flow testing was conducted by pumping dye-mixed deionized (DI) water through the channels using a syringe pump and connecting tubes at a constant flow rate of 5ml min−1. The outcomes of this study provide an alternative solution for a simple and low-cost method for microdevice fabrication at a large scale.
微装置已被认为是进行大量生物医学分析和诊断应用的潜在平台。然而,如何以具有成本效益和高通量的方式生产微流控设备,仍然是一项具有前景和可行性的挑战。本文针对这一问题,提出了一种以简单高效的方式制造微流控装置的替代解决方案。我们利用激光辅助雕刻技术,在 4 至 20 毫米不同厚度的丙烯酸板上制作母模。实验中使用了低成本的本土开发的 CO2(10.6μm 波长)激光雕刻设备。实验详细研究了各种激光参数(如功率和运行速度)对雕刻结构高度的影响。在激光功率为 10-12W 时,激光速度为 200-250mm s-1,间距为 0.002mm,获得了最佳雕刻效果。利用这种技术制作了通道宽度为 100μm 的微型器件母模。复制转移是通过一种简单的压印方法进行的,使用的是台式万能试验机,其最大压缩载荷可达 1kN。复型成功地在各种薄膜基底上生成,包括聚合物、塑料、Whatman 滤纸、聚四氟乙烯、乙烯基板、铜板和铝板。针对聚四氟乙烯和 Whatman 滤纸等基底,研究了施加的负载对微流体通道深度的影响。1 千牛的载荷可在上述各种基底上产生几百微米的深度。在升温加载的情况下,还将复型转移到可热成型的 PETG(聚对苯二甲酸乙二酯)板上。随后,用涂有粘合剂的聚合物薄片和四角的螺钉将通道压印 PETG 基底夹在两块丙烯酸薄片之间。此外,还采用软光刻技术在聚二甲基硅氧烷基板上复制了通道,随后使用氧等离子清洗装置将其粘合到玻璃板上。通过使用注射泵和连接管以 5 毫升/分钟的恒定流速将染料混合去离子水(DI)泵入通道,进行了流体流动测试。这项研究的成果为大规模制造微器件提供了一种简单、低成本的替代解决方案。
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引用次数: 0
One-to-two internal resonance in a micro-mechanical resonator with strong Duffing nonlinearity 具有强 Duffing 非线性的微型机械谐振器中的一对二内部共振
IF 2.3 4区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-11 DOI: 10.1088/1361-6439/ad0de8
Jun Yu, Ata Donmez, Hansaja Herath, Hanna Cho
This paper investigates the implementation of 1:2 internal resonance (InRes) in a clamped–clamped stepped beam resonator with a strong Duffing effect, focusing on its potential for frequency stabilization in micro-electro-mechanical systems (MEMS) resonators. InRes can arise in a nonlinear system of which mode frequencies are close to an integer ratio, facilitating the internal exchange of energy from an externally driven mode to an undriven mode. The presence of 1:2 InRes and Duffing hardening nonlinearity can result in frequency saturation phenomena, leading to a flat amplitude-frequency response range, which forms the basis for frequency stabilization. The stepped beam resonator design, combined with thermal frequency tuning, enables precise alteration of the frequency ratio between the second and third flexural modes required to achieve the desired 1:2 ratio for InRes. Experimental characterization and theoretical analysis revealed that frequency mismatch plays a significant role, with larger mismatch conditions leading to stronger energy exchange and a wider range of drive force for frequency saturation. The study highlights the frequency saturation mechanism utilizing 1:2 InRes and emphasizes the advantage of Duffing nonlinearity and larger intermodal frequency mismatch for broader frequency stabilization, providing valuable insights for the design and optimization of MEMS resonators.
本文研究了在具有强烈达芬效应的钳夹式阶梯梁谐振器中实现 1:2 内部共振(InRes)的问题,重点关注其在微机电系统(MEMS)谐振器中稳定频率的潜力。在非线性系统中,模态频率接近整数比时就会产生 InRes,从而促进外部驱动模态与非驱动模态之间的内部能量交换。1:2 InRes 和 Duffing硬化非线性的存在会导致频率饱和现象,从而形成平坦的振幅-频率响应范围,这也是频率稳定的基础。阶梯梁谐振器设计与热频率调谐相结合,可以精确改变第二和第三挠曲模式之间的频率比,从而实现所需的 1:2 InRes 比。实验表征和理论分析表明,频率失配起着重要作用,失配条件越大,能量交换越强,频率饱和的驱动力范围越广。这项研究突出了利用 1:2 InRes 的频率饱和机制,强调了 Duffing 非线性和更大的模式间频率失配在更广泛的频率稳定方面的优势,为 MEMS 谐振器的设计和优化提供了宝贵的见解。
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引用次数: 0
期刊
Journal of Micromechanics and Microengineering
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