Effect of CC Coherent Vibration on Relative Raman Scattering Cross Sections of All-trans β-Carotene

<正>We have determined the Raman scattering cross sections(RSCSs) ofβ-carotene for C=C and C—C stretching modes,with the 1444 cm~(-1) Raman band of cyclohexane as internal standard,in different solvents at low concentrations by measuring Raman intensity.The results show that RSCSs ofβ-carotene were 10~6—10~7 times larger than the general RSCSs,we analyzed that this enhancement was caused not only by the resonance Raman effect but also by nonlinear coherent CC vibration in aqueousβ-carotene.Moreover,overtone and combinations of it were also observed and their intensities were 10%—20%of those of their fundamentals whenβ-carotene was dissolved in non-polar solvents,respectively.     

Mitigation of phase noise in dispersion compensated quasi-linear optical transmission systems: Analysis

We theoretically investigate the phase noise in quasi-linear optical transmission systems and study the mitigation of phase noise by properly choosing periodic dispersion compensation and amplification. Variational method is used to deduce the analytical formula for calculating the phase fluctuations of a Gaussian pulse. The analytical predictions are then checked against direct simulations by numerically solving the nonlinear Schrödinger equation. We find that stronger dispersion compensation maps can be used to reduce phase noise and it can be further mitigated by modifying the dispersion map appropriately. It is also found that shorter amplifier spacing yields lower phase noise. We also explore the effect of pre-, post- and bi-end dispersion compensation configurations on phase noise with full compensation and check the reduction of phase noise along the fiber link.     

A hybrid numerical approach to predict the vibrational responses of panels excited by a turbulent boundary layer

In this work, a hybrid numerical approach to predict the vibrational responses of planar structures excited by a turbulent boundary layer is presented. The approach combines an uncorrelated wall plane wave technique with the finite element method. The wall pressure field induced by a turbulent boundary layer is obtained as a set of uncorrelated wall pressure plane waves. The amplitude of these plane waves are determined from the cross spectrum density function of the wall pressure field given either by empirical models from literature or from experimental data. The response of the planar structure subject to a turbulent boundary layer excitation is then obtained from an ensemble average of the different realizations. The numerical technique is computationally efficient as it rapidly converges using a small number of realizations. To demonstrate the method, the vibrational responses of two panels with simply supported or clamped boundary conditions and excited by a turbulent flow are considered. In the case study comprising a plate with simply supported boundary conditions, an analytical solution is employed for verification of the method. For both cases studies, numerical results from the hybrid approach are compared with experimental data measured in two different anechoic wind tunnels.     

田字形地震超材料甚低频宽带隙机理

在地球中传播的地震波主要有体波和表面波,而表面波中Rayleigh波对建筑物造成的破坏最为强烈。针对Rayleigh波的振动控制,提出一种田字形超材料结构。相比于传统的地震超材料,这种超材料屏障是由外部口字形框体内部嵌套十字形柱体组成,形成4个可填充区域,其外部框体采用部分埋入的方式,具有高强度、强稳定性、填充方式灵活的特点。应用有限元法计算了田字形超材料的能带结构和传输特性,并通过分析带隙边界处模态振型可知,带隙的打开是由于柱体的局域共振。结合带隙机理可知,柱体结构中土壤填充量不同可改变柱体的质量,形成不同的谐振频率,产生甚低频带隙。为进一步拓宽带隙,设计研究了正、负梯度的质量填充方式,均可得到3.3~13.1 Hz甚低频宽带隙,在谐振频率范围内两者的隔震方式分别为Rayleigh波彩虹捕获和Rayleigh波到体波的转化。最后,采用EI-Centro地震波对填充屏障进行了时程验证,加速度最大幅值衰减超过80%,为地震超材料在减震隔震方面应用提供了新的设计思路和方法。     

国外最新振动学教材调研及特色分析

为更好地选用及指导编著机械振动学教材,本文对欧美国家及其他国家2006—2021年间的机械振动学教材进行调研、分析。从欧美国家机械振动学经典教材及其再版教材、欧美国家机械振动学新教材、研究生教材及高阶振动书籍（结构噪声、模态、振动控制）、其他国家振动学教材、适合于工程师的工业顾问编写的教材等方面展开调研;从主要内容、特色内容、工程案例、习题、内容的广度和深度、跨学科和跨行业等方面进行分析。最后结合我国现阶段发展情况提出了振动学教材发展的建议。

     

Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type

This paper is concerned with the numerical approximations of semi-linear stochastic partial differential equations of elliptic type in multi-dimensions. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method. Numerical results demonstrate the good performance of the spectral method.     

带旋转毛玻璃干涉成像系统的统计分析

从统计光学出发,建立了带旋转毛玻璃干涉成像系统的信噪比理论模型,分析旋转毛玻璃参数、光场相干性与系统信噪比之间的关系。模拟计算和实验结果表明：旋转毛玻璃降低了干涉成像系统中光场的相干性,增大了曝光时间内采集的不相关散斑场个数,从而抑制了相干噪声;旋转毛玻璃表面粗糙度的增大,相关长度的缩短,转速的提高都会减小光场的相干时间。为了得到较理想的系统信噪比,应控制旋转毛玻璃参数使旋转周期约等于CCD曝光时间,并使光场相干长度为测试光和参考光间光程差的2～5倍。     

主动隔振下固支薄板基础振动抑制的参数多目标优化

考虑动力设备-隔振器-薄板基础为复合主动隔振体系,并将薄板视为固支形式;以传递力作用在薄板基础上某点导纳为中间变量,在传递力、导纳、薄板振动峰值位移及峰值点距离影响因素分析的基础上,进行了系统耦联参数的多目标优化研究。优化算法采用较新的强度Pareto进化算法(SPEA2),该算法具有参数设置少、收敛速度快、寻优能力强及Pareto最优解分布均匀等优点。目标函数考虑为薄板振动的位移峰值及峰值点间的距离,目的是在有效控制薄板振动的同时,尽可能地使薄板趋于单峰值点振动,这对于板上附属操作设备及工作人员是有利的;最后,在最优参数的基础上对隔振器的安装位置进行讨论研究。数值计算结果表明,本文方法可有效地计算出隔振系统的最优参数,并为工业建筑及其他工程振动的最优隔振设计提供新思路。