振动方程混合有限元方法的后处理

1引 言 考虑下面的振动方程混合问题 u_u+△~2u=f, (x,t)∈Ω×(0,T], u_1(x,0)=w_0,u(x,0)=u_0,x∈Ω, (1.1) u=u/γ=0, (x,t)∈Ω×(0,T],其中ΩR~2为有界规则区域,Ω为其逐段光滑的边界,u/γ表示u沿Ω的外法向导数,T>0为常数,f∈L~2(Ω)为已知函数。 引入涡度函数v=△u,则(1.1)改写为     

Bansch空间中全纯映射的若干性质

本文将全纯映射的若干性质推广到Ｂａｎａｃｈ空间，并应用这些性质研究有界域中的凸映射与星形映射。     

Self-assembly behaviour of amphiphilic diblock copolymer in selective solvents studied by synchrotron small-angle x-ray scattering

The aggregation behaviour of styrene-vinyl benzoic acid (PSm-b-PVBAn) amphiphilic diblock copolymers in selective solvents with different m and n was investigated by synchrotron small-angle x-ray scattering (SAXS). We have carried out a detailed analysis of scattering intensity, dimension, shape and microstructure of the diblock copolymers of narrow distribution in water, methanol, ethanol and isopropanol selective solvents, respectively. We have found that the aggregation behaviour of the copolymer depends on the nature of the solvent and the micelle forms fiat disc objects with the ratio of radius ω=0.4. The average radius gyration Rg of the copolymer decreases as solvents change from isopropanol to ethanol and to methanol, and increases with increasing pH in aqueous solution, but decreases with the addition of COCl2 in ethanol solvent. The scattering intensity of diblock copolymer micelle follows I(h) ∝ h^-α in different selective solutions, suggesting that the PSm-b-PVBAn coils have self-similar structure behaviour or a fractal structure in the selective solvents. All of these revealed that the aggregation behaviour of the diblock copolymer changes dramatically with experimental condition in the selective solvent. The increase of mass fractal dimension (Dm) from 2.12 to 2.47 indicates that the copolymer chain changes from a swollen coil to a rather compact disc in the course of changing solvents, decreasing surface fractal dimension (Ds) from 2.98 to 2.58 indicates that the copolymer micelle change from a rather rough surface to a smooth form in the course of increasing pH in aqueous solutions, and increasing Dm and Ds from 2.29 to 2.35 and 2.70 to 2.90, respectively, indicates the shrinkage of copolymer micelle to a rather compact and rough disc form by adding COCl2 in ethanol solvents.     

Energy Density in Quark-Gluon Plasma

We study the energy density in quark-gluon plasma. At the very high temperature, the quark matter is a hot and dense matter in the colour deconfinement condition, and quarks can coalescent diquarks. Energy density of this system is worked out and compared with the energy density in the other two kinds of situations. Possible energy density is about ε0≈2.4 GeV/fm^3 according to our estimation for quark matter including diquarks.     

有损耗波导中非线性TE波的数值模拟

本文发展了一种以有限元技术为基础的数值方法,用它分析有损耗波导中的非线性TE模。在这种方法中,非线性有损耗波导中TE波与功率有关的复传播常数和局城电场分布,可从这种波导直接得到,没有任何近似。作为这种方法的应用,计算了非线性有损耗波导系统中TE0模的功率色散关系和电场分布。     

光纤弯曲对干涉式光纤陀螺性能的影响

为研究光纤弯曲对干涉式光纤陀螺性能的影响,选取常用的单模光纤、保偏光纤、光子晶体光纤及保偏光子晶体光纤为研究对象,建立了光纤弯曲与光纤陀螺性能的相关理论模型。以高精度光纤陀螺应用为背景,选取掺铒超荧光光纤光源,改变光纤弯曲半径,测出了经过光纤样品后的光功率、平均波长、光谱宽度的变化和平均波长波动,在此基础上分析了弯曲半径对光纤陀螺标度因数和随机游走系数的影响。理论分析和实验结果表明,采用光子晶体光纤时,光纤弯曲对光纤陀螺性能几乎没有影响,采用其他光纤时,需要严格控制光路中的光纤弯曲半径。     

双波长相移光纤光栅的光谱特性及传感应用

建立了双波长相移光纤光栅的理论模型,对双波长相移光纤光栅的透射谱特性进行了数值仿真,结果表明透射波长间隔会分别随相移量、折射率调制深度和光栅长度的变化而有规律地增减.借助光纤布拉格光栅的法布里-珀罗腔谐振相位条件计算了透射峰间隔的表达式,该表达式得到的透射峰间距曲线与数值仿真得到的曲线相符合,验证了数值仿真结果的正确性.最后,在光栅透射谱波长间隔变化规律的基础上提出一种传感方案,并对光栅的温度传感特性进行分析,理论推导得到灵敏度约为60pm/℃.     

基于LabVIEW的支架结构安全监控系统设计

针对路桥施工过程中支架结构的安全性能问题,设计开发一套基于LabVIEW的安全监控系统,通过采集应变和倾角信息,全面地监测支架结构所承受的载荷与稳定性;软件的开发融合了多种技术,利用LabVIEW软件实现串口通信、GPRS网络通信、数据库访问、数据报警以及Web发布等功能,将无线传感器网络采集到的数据信息实时地反映给操作人员,并同时具备数据报警、查询等功能;测试结果显示,系统构建了一个包含10个传感器节点的ZigBee网络,并准确地获得了支架结构在受力变化时参数的变动,且实现了GPRS远程监控的功能,说明系统能够稳定、准确地对支架的应变和倾角信息进行监测,并具有良好的后续开发空间和应用前景。