Signal Analysis by New Mother Wavelets

Based on the general formula for finding qualified mother wavelets [Opt. Lett. 31 （2006） 407] we make wavelet transforms computed with the newly found mother wavelets （characteristic of the power 2n） for some optical Gaussian pulses, which exhibit the ability to measure frequency of the pulse more precisely and clearly. We also work with complex mother wavelets composed of new real mother wavelets, which offer the ability of obtaining phase information of the pulse as well as amplitude information. The analogy between the behavior of Hermite Gauss beams and that of new wavelet transforms is noticed.     

翡翠贻贝珍珠层的XRD和FTIR光谱特征

对翡翠贻贝贝壳的珍珠层、棱柱层进行了XRD和FTIR光谱检测,对文石的ν₁,ν₂及ν₄三个内振动模式的频率进行了分析。文石的ν₁和ν₄带在所有的样品中不存在频率位移现象,与洞穴文石的相关谱带的频率一致;ν₂带频率却存在较大差异,珍珠层、棱柱层的ν₂带存在频率位移,初步推测生物合成文石与热效应有关,内部储存有过剩的能量,可作为研究生物矿化机理的实验依据。     

声表面波谐振器频率-温度行为分析

声表面波（SAW）器件以其优良的性能广泛应用于雷达、通讯和日常用品等领域。然而,随着器件工作频率的不断升高,温度对器件频率稳定性的影响也越来越严重。因此,研究声表面波器件的温度效应,并在变温情况下保持SAW器件的频率稳定性至关重要。本文采用增量型的拉格朗日方程分析受温度影响的声表面波频率漂移问题。用频率-温度系数（TCF）作为评价频率-温度行为的标准。设计了一个具有温度补偿层的双层SAW谐振器模型,降低了器件的频率-温度系数。通过尺寸优化,LiNbO3-AlN结构的SAW谐振器在25℃（参考温度）下的频率温度系数TCF接近0ppm/℃。SAW谐振器的波长为4μm,谐振频率为1214.9MHz。     

Landing gear noise control using perforated fairings

Landing gears of commercial aircraft make an important contribution to total aircraft noise in the approach configuration. Using fairings to shield components from high speed impingement reduces noise. Furthermore, perforating these fairings has been confirmed by flight tests to further enable noise reduction. Following an earlier fundamental study of the application of perforated fairings, a study has been performed to investigate and optimize the benefits of bleeding air through landing gear fairings. By means of wind tunnel tests, an aerodynamic and acoustic survey has been performed on a simplified generic main landing gear to explore the influence of （perforated） fairings on the lower part of the gear. The results show that for this specific case, the application of impermeable fairings reduces noise in the mid- and high frequency range by shielding sharp edged components from high velocity impingement. However, below 1 kHz the noise is shown to increase significantly. Application of the perforations is shown to diminish this low frequency increase whilst maintaining the reduction in the mid- and high frequency range. The aerodynamic and acoustic measurements point in the direction of the separated flow of the fairings interacting with the downstream gear components responsible for the low frequency noise increase. Bleeding of the air through the fairings reduces the large scale turbulence in the proximity of these components and hence diminishes the low frequency noise increase.     

利用积分方程法的各向异性地层频率测深三维模拟

应用一种新的积分方程算法对各向异性地层频率域电磁测深三维问题进行正演模拟.利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程,由于满足压缩映射条件,该积分方程在任意参数条件下总是迭代收敛的.提出一种应用迭代法求解新积分方程的迭代初值优化选择方法,并通过具体算例对比说明该方法可使频率域电磁测深三维模拟的计算效率得到有效提高.最后应用所述算法对层状各向异性大地轴向频率测深视电阻率响应进行三维数值模拟,考察分析地层的各向异性对视电阻率响应特征的影响,得到一些重要结论.     

Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach

In this article, transverse free vibrations of axially moving nanobeams subjected to axial tension are studied based on nonlocal stress elasticity theory. A new higher-order differential equation of motion is derived from the variational principle with corresponding higher-order, non-classical boundary conditions. Two supporting conditions are investigated, i.e. simple supports and clamped supports. Effects of nonlocal nanoscale, dimensionless axial velocity, density and axial tension on natural frequencies are presented and discussed through numerical examples. It is found that these factors have great influence on the dynamic behaviour of an axially moving nanobeam. In particular, the nonlocal effect tends to induce higher vibration frequencies as compared to the results obtained from classical vibration theory. Analytical solutions for critical velocity of these nanobeams when the frequency vanishes are also derived and the influences of nonlocal nanoscale and axial tension on the critical velocity are discussed.     

Beam Parameters for End Diffraction of TE0 Mode of Planar Waveguide

The relation between diffractive beam parameters and normalized frequency is analyzed that leads to two improved Tormulas for two kinds of mode-field halT-widths and several formulas for divergence angle as well as beam propagation factor. The numerical calculation indicates that the maximal relative error is less than 0.5% within a reasonable parameter range.     

变截面弹性直杆纵振动分析的小波——DQ法

在经典微分求积(DQ)法基础上, 根据多分辨分析理论, 以尺度函数为基础构造插 值基函数, 形成了新的微分方程边值问题的求解方法------小波--DQ法, 并应用该方法分析了变截面弹性直杆的纵振动问题, 给出了其频率方程, 计算出了不同参数下固 支--固支, 自由--自由楔形直杆和锥形直杆的固有频率, 数值结果表明该方法是一个简单易行高精度的方法, 该方法可以推广应用于其他力学问题的数值分析.     

快速传递对准用联合强跟踪Kalman滤波器设计与仿真

针对用于快速传递对准的卡尔曼滤波器阶数高,计算量大,滤波更新率低,鲁棒性差及对准精度不高等问题,提出采用联合强跟踪Kalman滤波器进行快速传递对准。文中设计了联合强跟踪Kalman滤波器的结构和算法,同时利用改进的Elman网络进行信息分配系数的自适应调节,以实现融合信息在各子系统中的自适应分配。仿真结果表明,该滤波器不仅提高了解算速度,而且提高了系统鲁棒性和对准精度。     

测量RLC串联电路谐振频率的几种方法

RLC串联谐振电路对信号频率具有选择性被广泛应用于电子线路中,而在电力系统中则要尽量避免发生谐振,因为谐振会使电感和电容上的电压降高于电源电压Q倍,过高的电压会损坏用电设备,危及人身安全.