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准确完备的半球谐振陀螺(HRG)谐振子动力学模型是陀螺误差分析的基础。为建立半球壳谐振子动力学模型,基于弹性力学薄壳理论,提出了一种谐振子动力学建模方法。首先,在薄壳的弹性力学几何方程基础上,推导了半球壳谐振子的变形几何方程。其次,在提高受力分析计算精度的基础上,推导了半球壳谐振子的物理方程。然后,分析了谐振子中面的受力平衡关系,推导了谐振子的平衡微分方程。最后,基于以上对整个谐振子的动力学分析,建立了谐振子动力学方程。根据谐振子的不同外载荷形式,利用布勃诺夫-伽辽金法求解得到谐振子2阶谐振状态动力学模型,并得到了谐振子比例系数和2阶谐振频率的表达式。通过对比验证可以看出,参数计算值与实测数据结果一致,证明了所建立的动力学模型的准确性。 相似文献
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凹面腔内的激波会聚冷态实验 总被引:2,自引:1,他引:2
为研究两级脉冲爆震发动机中激波聚焦起爆技术,研制了激波会聚起爆原理样机,建立了整套实验系统.利用三维激波会聚起爆原理样机,开展了导流角度、气流出口面积、尾喷管扩张角、凹面腔与射流入口间距离等对凹面腔内气动振荡频率和压力影响的冷态实验研究.结果表明:导流角增大,气动振荡频率增大;气流出口面积减小,气动振荡频率增大,凹面腔底部动态压力脉动幅值增大;喷管扩张角度增大,气动振荡频率数目增多;随着凹面腔与环形射流入口间的距离L增长,气动振荡频率降低,凹面腔底部动态压力脉动幅值降低. 相似文献
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从理论上分析谐振器的静电制动特性和机械力学特性,给出了活动梳齿的谐振频率和谐振振幅的解析解,提供谐振器结构设计的依据.设计了四种结构形式的谐振器,充分考虑不同静电激励方式对谐振器的影响,合理选取结构参数,有效提高了谐振器抑制侧向失稳和粘附效应的能力.借助有限元软件在考虑硅微加工特性和可行性的基础上对谐振器模态和固有频率的仿真和计算,优化了谐振器结构参数,使工作模态远离其他高阶模态,具有良好的频率特性. 相似文献
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针对一种以方形硅膜片为一次敏感元件、硅梁谐振子为二次敏感元件 ;采用电阻热激励、压敏电阻拾振的压力微传感器 ,分析了其工作机理 ;依幅值、相位条件讨论了该谐振式微传感器的闭环自激系统 ;建立了微传感器的温度场模型和热应力模型 ,并进行了仿真计算与分析 相似文献
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石英半球谐振陀螺以其轻质、低功耗、长寿命、高可靠、应用精度范围宽、成本低等优势,引起了惯性技术界的瞩目。半球谐振陀螺的核心器件——石英半球谐振子的成型技术是当前的研究重点。经不断试验和摸索,以范成球面弹性展成为基础,通过均衡磨削原则、磨头最大包络原则和三阶段37道工序的精细优化工艺流程,较好地实现了高精度微应力硬脆石英谐振子异形薄壁件的成型,形成了专用的结构成型中心,为石英半球谐振陀螺的核心半球谐振子球壳成型开创了一条可行途径。 相似文献
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Batarseh I. Megalemos C. Sznaier M. 《IEEE transactions on aerospace and electronic systems》1996,32(2):702-713
In this paper, the small signal analysis of the LCC-type parallel resonant converter (LCC-PRC) operating in the continuous conduction mode is given. This analysis is based on both the state-plane diagram, which has been successfully used to obtain the steady state response for resonant converters, and the Taylor series expansion. Applying perturbation directly to the steady state trajectory, a discrete small signal model for the converter can be derived in terns of the input voltage, switching frequency, and the converter state variables. Based on this analysis, closed-loop form solutions for the input-to-output and control-to-output transfer functions are derived. It is shown that the theoretical and computer simulation results are in full agreement 相似文献
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近年来美国国防高级研究计划局大力推进三维壳体谐振陀螺(尤其是高性能半球谐振陀螺)的微型化,以实现惯导级性能的微机械振动陀螺。提出发泡法制备直径小于1cm的微壳体谐振子,利用发泡剂在高温下释放气体,使软化后的玻璃在气压差和表面张力的作用下形成三维轴对称壳体。大气环境下多普勒测振仪的测试结果表明,利用发泡法制备的微壳体谐振子的酒杯二阶模态的谐振频率为11kHz,频率分裂值为72Hz,相对裂解值为0.65%,相应的品质因子Q值约为970和1127。发泡法有望提供一种低成本、高性能微壳体谐振子的制备方法。 相似文献
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对一种以方形硅膜片作为一次敏感元件,硅梁作为二次敏感元件的热激励硅谐振式压力微传感器进行了较系统的研究 :建立了微传感器敏感结构的工程用数学模型;以所建立的模型实际设计了敏感结构参数 :方形膜边长 4 mm,膜厚 0.1 mm,梁谐振子长 1.3mm,宽 0.0 8mm,厚 0.0 0 7mm;采用微机械加工工艺加工出了原理样件;采用电热激励、压阻拾振方式对其进行了开环测试 相似文献
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《中国航空学报》2020,33(10):2660-2669
The mass non-uniformity of hemispherical resonator is one of reasons for frequency split, and frequency split can cause gyroscope to drift. Therefore, it is of great significance to analyze the relationship between mass non-uniformity and frequency split, which can provide a theoretical basis for mass balance of imperfect resonator. The starting point of error mechanism analysis for gyroscope is the motion equations of resonator. Firstly, based on the Kirchhoff-Love hypothesis in the elastic thin shell theory, the geometric deformation equations of resonator are deduced. Secondly, the deformation energy equation of resonator is derived according to the vibration mode and relationship between the stress and strain of hemispherical thin shell. Thirdly, the kinetic energy equation of resonator is deduced by the Coriolis theorem. Finally, the motion equations of resonator are established by the Lagrange mechanics principle. The theoretical values of precession factor and natural frequency are calculated by the motion equations, which are substantially consistent with the ones by the finite element method and practical measurement, the errors are within a reasonable range. Simultaneously, the varying trend of natural frequency with respect to the geometrical and physical parameters of resonator by the motion equations is consistent with that by the finite element analysis. The above conclusions prove the correctness and rationality of motion equations. Similarly, the motion equations of resonator with mass non-uniformity are established by the same modeling method in case of ignoring the input angular rate and damping, and the state equations with respect to the velocity and displacement of vibration system are derived, then two natural frequencies are solved by the characteristic equation. It is concluded that one of reasons for frequency split is the 4th harmonic of mass non-uniformity, and thus much attention should be paid to minimizing the 4th harmonic of mass non-uniformity in the course of mass balancing for imperfect resonator. 相似文献
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Hemispherical Resonator Gyroscope(HRG) is a classical high precision Coriolis Vibration Gyroscope(CVG), which performs attitude estimation of carrier by detecting the precession of standing wave of resonator, thus, the drift of standing wave of resonator has a great influence on the output accuracy of gyroscope, where the quality factor nonuniformity of resonator is one of main error sources. Ring electrode is a classical excitation structure of HRG because the standing wave can precess freely u... 相似文献
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嵌套环MEMS谐振陀螺是一种基于Coriolis效应的振动陀螺,具有结构全对称、加工鲁棒性好、电容灵敏度高、可采用传统体硅加工工艺实现批量化制造等优点,是目前最具性能潜力的微陀螺方案之一。首先阐述了嵌套环MEMS谐振陀螺的基本结构和工作原理,然后针对其在敏感结构设计及演化、品质因数提升、频率匹配技术、非线性效应与参数放大技术及零偏补偿技术等方面的发展进行了讨论,并对其在结构设计、加工技术、测控电路、新机理和新效应的应用等方面的发展进行了展望。嵌套环MEMS谐振陀螺可以实现高精度的角速率测量,具有巨大的性能潜力和较好的应用前景。 相似文献