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1.
针对考虑几何和材料非线性的石英晶体板厚度剪切振动和弯曲振动的方程组,利用扩展伽辽金法对该方程组进行转化和求解,分别获得了强烈耦合的厚度剪切振动模态和弯曲振动模态的频率响应关系,绘制了不同振幅比和不同驱动电压影响下的频率响应曲线图。数值计算结果表明可以选取石英晶片的最佳长厚比尺寸来避免两种模态的强烈耦合。驱动电压的变化将引起石英晶体谐振器厚度剪切振动频率的明显改变,必须将振动频率的漂移值控制在常用压电声波器件的允许值之内。扩展伽辽金法对石英晶体板非线性振动方程组的求解为非线性有限元分析和偏场效应分析奠定了基础。  相似文献   
2.
This paper presents a nonlinear thickness-shear vibration model for onedimensional infinite piezoelectric plate with flexoelectricity and geometric nonlinearity. The constitutive equations with flexoelectricity and governing equations are derived from the Gibbs energy density function and variational principle. The displacement adopted here is assumed to be antisymmetric through the thickness due to the thickness-shear vibration mode. Only the shear strain gradient through the thickness is considered in the present model. With geometric nonlinearity, the governing equations are converted into differential equations as the function of time by the Galerkin method. The method of multiple scales is employed to obtain the solution to the nonlinear governing equation with first order approximation. Numerical results show that the nonlinear thickness-shear vibration of piezoelectric plate is size dependent, and the flexoelectric effect has significant influence on the nonlinear thickness-shear vibration frequencies of micro-size thin plates. The geometric nonlinearity also affects the thickness-shear vibration frequencies greatly. The results show that flexoelectricity and geometric nonlinearity cannot be ignored in design of accurate high-frequency piezoelectric devices.  相似文献   
3.
Indirect learning architecture (ILA) for digital pre-distortion (DPD) is commonly used to linearize power amplifiers (PA). To the author’s best knowledge, most of the DPD results in the literature obtain the matrix form of the least-square solution in order to get the DPD coefficients numerically. There exists no explicit closed-form for these coefficients that can be used as plug-and-play in simulations, or used for further closed-form analysis of important measures such as signal-to-noise ratio (SNR) and mean square error (MSE), bit-error rate (BER), …etc. In this paper, we analyze the ILA-DPD system for general memory-polynomial PA models. We provide a closed-form solution for the DPD coefficients. We first present the analytical methodology for deriving the mathematical expressions for each DPD coefficient and then introduce an open-access code that generates the DPD coefficients in symbolic form that is used to mathematically model the DPD. We consider case studies for PA and show that the analytical DPD solution matches the Monte Carlo simulations. Moreover, we also provide a closed-form solution for the iterative adaptive ILA-DPD. Our analysis shows that in the case of a large training block length the non-iterative DPD achieves approximately the same performance as an iterative DPD with a shorter training block length. System impairments are also considered, e.g. the thermal noise and the quantization noise in analog–digital conversion (ADC). We derive the normalized mean square error (NMSE) for the transmit chain in the presence of these impairments. The NMSE expression is verified through numerical simulations.  相似文献   
4.
运用边界积分法研究了四边简支、两对边固定另两对边简支、四边固定三种复杂边界条件下厚矩形板的受迫振动问题,求解过程清晰,从而给出了受迫振动控制方程和挠曲面方程。通过在Matlab平台上进行数值计算,得出了图表形式的计算结果,并与有限元模拟值进行对照。研究表明,边界积分法用于求解厚矩形板的受迫振动问题的准确性,本文推导的控制方程和挠曲面方程的正确性,进而对工程实际中的各种相关问题具有一定的现实意义,也为求解此类问题提供了一种新途径,可以直接运用到工程实际中。  相似文献   
5.
Miao Yu 《中国物理 B》2022,31(6):64303-064303
Nonlinear elastic metamaterial, a topic which has attracted extensive attention in recent years, can enable broadband vibration reduction under relatively large amplitude. The combination of damping and strong nonlinearity in metamaterials may entail extraordinary effects and offer the capability for low-frequency and broadband vibration reduction. However, there exists a clear lack of proper design methods as well as the deficiency in understanding properties arising from this concept. To tackle this problem, this paper numerically demonstrates that the nonlinear elastic metamaterials, consisting of sandwich damping layers and collision resonators, can generate very robust hyper-damping effect, conducive to efficient and broadband vibration suppression. The collision-enhanced hyper damping is persistently presented in a large parameter space, ranging from small to large amplitudes, and for small and large damping coefficients. The achieved robust effects greatly enlarge the application scope of nonlinear metamaterials. We report the design concept, properties and mechanisms of the hyper-damping and its effect on vibration transmission. This paper reveals new properties offered by nonlinear elastic metamaterials, and offers a robust method for achieving efficient low-frequency and broadband vibration suppression.  相似文献   
6.
中性线修正型变截面梁类构件压电控制   总被引:1,自引:1,他引:0  
传统绝对节点坐标法(absolute nodal coordinate formulation, ANCF)在变截面梁类构件建模过程中常以几何中位线等效构造单元中性线, 难以对变截面单元位移场状态进行精确描述. 为解决此类问题, 本文以中细型变截面梁类构件为研究对象, 深入考虑变截面结构几何因素及复合材料属性对变截面梁类构件中性线位置所产生的偏差影响, 建立修正型变截面梁单元位移场描述方法. 并进一步结合负应变率压电控制策略, 通过传感型及作动型压电片提出变截面梁类构件在空间热载荷作用下的ANCF主动抑振抑变控制方法. 同时, 以变截面太阳帆桅杆在轨实际运行状态为算例, 通过所述方法分析验证了模型在动力学参数预测过程中的准确性及精确性, 并深入探究变截面梁类构件在不同压电安装策略下的动态行为参数演化规律. 据其分析结果可知, ANCF主动抑振抑变控制方法随作动型压电片与传感型压电片之间安装距离的增加, 其控制同步性将会降低; 且在一定程度内提高增益调节系数可加强控制系统的稳定性及灵敏性, 但该参数一旦发生超调亦会激励变截面梁类构件产生非稳定性振动.   相似文献   
7.
航天器中精密器件的稳定性和工作精度决定于器件布置位置的局部结构振动特性,而航天器局部振动特性又受到精密器件布局的影响。因此,航天器中精密器件的布局优化是确保其稳定高效工作的前提条件。该文建立了粘接精密器件的航天器局部柔性薄板结构的动力学模型,发展保结构分析方法模拟了薄板结构的局部振动特性。考虑精密器件形状和尺寸、散热间隙要求等布局约束条件,以各器件布局位置最大面外振动加速度加权值最小化为优化目标,对精密器件布局进行优化设计。优化结果表明:由于所提出的精密器件布局优化设计方法在模拟结构局部振动特性过程中采用了能够较为精确捕捉系统局部动力学特性的保结构分析方法,大幅提高优化效率的同时能够大幅降低器件布局位置最大面外振动加速度;通过布局优化设计,各器件布局位置最大面外振动加速度加权值减小约88.05%,这一结果对提高航天器内精密器件工作稳定性和精度具有一定的参考价值。  相似文献   
8.
《中国物理 B》2021,30(7):74208-074208
We propose a physical model of estimating noise and asymmetry brought by high isolation Bi-directional erbiumdoped fiber amplifiers(Bi-EDFAs), no spontaneous lasing even with high gain, in longdistance fiber-optic time and frequency(T/F) synchronization system. It is found that the Rayleigh scattering noise can be suppressed due to the high isolation design, but the amplified spontaneous emission(ASE) noise generated by the high isolation Bi-EDFA and the bidirectional asymmetry of the transmission link caused by the high isolation Bi-EDFA will deteriorate the stability of the system.The calculated results show that under the influence of ASE noise, the frequency instability of a 1200 km system composed of 15 high isolation Bi-EDFAs is 1.773 × 10-13/1 s. And the instability caused by asymmetry is 2.6064 × 10-16/30000–35000 s if the total asymmetric length of the bidirectional link length is 30 m. The intensity noises originating from the laser and detector, the transfer delay fluctuations caused by the variation in ambient temperature and the jitter in laser output wavelength are also studied. The experiment composed of three high isolation Bi-EDFAs is done to confirm the theoretical analysis. In summary, the paper shows that the short-term instability of the T/F synchronization system composed of high isolation Bi-EDFAs is limited by the accumulation of ASE noise of amplifiers and the laser frequency drift, while the long-term instability is limited by the periodic variation in ambient temperature and the asymmetry of the amplifiers.The research results are useful for pointing out the direction to improve the stability of the fiber-optic T/F synchronization system.  相似文献   
9.
Studying the vibrational behavior of feed drive systems is important for enhancing the structural performance of computer numerical control (CNC) machines. The preload on the screw and nut position have a great influence on the vibration characteristics of the feed drive as two very important operational conditions. Rotational acceleration of the screw also affects the performance of the CNC feed drive when machining small parts. This paper investigates the influence of preload and nut position on the vibration characteristics of the feed drive system of a CNC metal cutting machine in order to be able to eliminate an observed resonance occurred at high rotational speeds of the screw, corresponding to high feed rates. Additionally, rational structural parameters of the feed drive system are selected in order to increase the rotational acceleration for improving the performance of the CNC machine. Experiments and analyses showed that by selecting specific parameters of feed drive system and simultaneously applying a certain value of preload, a 97% increase in rotational acceleration and 30% time reduction considering the vibration resistance at high rotational speeds can be achieved.  相似文献   
10.
针对甲烷在大气中背景气体成分复杂、检测难度大、稳定性差等问题,本文基于可调谐二极管激光吸收光谱技术和波长调制光谱技术,将积分梳状滤波器与有限脉冲响应滤波器相结合应用于数字正交锁相放大器,开展大气中甲烷气体的痕量检测实验研究。实验表明,与传统的数字正交锁相放大器相比较,改进的数字正交锁相放大器提取的二次谐波信号的信噪比从38.61 dB提高到44.95 dB;将非线性迭代最小二乘法-极限学习机算法模型应用于甲烷气体浓度反演,与经典的最小二乘法相比较,其均方根误差减小了0.907;通过16组浓度步进实验测试,该系统的实际检测下限为1 ppm;在压力为600 mbar,温度为25℃,甲烷浓度为50 ppm进行3 h的长期稳定性测试,检测的甲烷浓度变化范围为49.6~50.3 ppm,其标准差为0.0921 ppm。当积分时间达到56 s时,该系统的理论检测极限为25.6 ppb。积分梳状滤波器和非线性迭代最小二乘法-极限学习机算法模型在红外气体检测方面具有较高的优越性和实用前景。  相似文献   
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