混合模型中方差分量估计的容许性及非负估计

对含有两个方差分量的线性混合模型, 本文构造了方差分量的一个线性估计类, 它包含许多常见的方差分量估计. 在这个类中我们建立了容许性的必要条件, 据此得到了两个新的改进估计. 最后我们讨论了方差分量的非负估计, 得到了优于方差分析估计和Tatsuya估计的正估计.     

一种动力响应混合快速分析方法及其在功能梯度材料板瞬态响应分析中的应用

提出了一种把减基法嵌套在Newmark法中快速求解动力问题的混合算法.这种算法把Newmark法作为动力问题的基本求解器.而在嵌套减基法时,把参数样本空间对应的解集做成一个训练空间,采用贪婪算法进行减基空间基向量的自适应选取,进而由减基空间得到减缩系统.通过求解减缩系统对应的Newmark增量式来达到快速求解动力问题的目的.最后采用了一个无限大的功能梯度材料板的瞬态响应分析来验证文中方法的高效性和精确性.     

基于三维各向异性分形理论的固定机械结合面法向接触刚度建模研究

将结合面接触点拓展为椭圆形,基于KE有限元模型,类比球形微凸体在弹塑性接触变形阶段法向载荷、接触面积以及变形量之间的关系,采用代入法得到了表征椭圆抛物面形微凸体弹塑性接触变形机制的对应关系式.假设结合面接触点离心率分布与接触点面积分布相互独立,根据概率论以及接触点的面积大小分布函数,获得了关于结合面接触点面积与离心率的二维联合分布密度函数,进而依据三维各向异性分形几何理论建立了包含微凸体完全弹性、弹塑性以及完全塑性三种变形机制的结合面法向接触刚度分形模型.所建模型理论刚度与实验数据的对比结果,表明了模型的正确性及有效性,能较好的预测在轻载状态下的固定结合面法向接触刚度.     

Synthesis of P123-Templated and DVB-Cross-linked Meso-macroporous Poly (ionic liquids) with High-Performance Alkylation

Meso-macroporous poly (ionic liquids) (MPILs) were successfully synthesized through a novel strategy with P123 (PEO₂₀PPO₇₀PEO₂₀) as the pore-forming agent and divinylbenzene as crosslinker. Then effects of reaction temperature and the molar ratio of ionic liquid to divinylbenzene (IL to DVB) were systematically investigated together with the morphology and structure of MPILs. It was found the MPILs owned a meso-macroporous channel-like structure, large surface area (up to 732 m²/g), large pore volume (1.42 cm³/g) and high thermal stability. Meanwhile, the Brunauer–Emmett–Teller surface of MPILs could be fabricated by adjusting the reaction temperature and especially the IL to DVB molar ratio. In the probe reaction of alkylation of styrene and o-xylene, a 100% conversion of styrene and 96.4% PXE yield was acquired, and this is more expert than common commercial liquid acid catalyst. This work might develop a novel way for synthesizing porous heterogeneous polymer catalysts in the future and owning a promising future applied in other acidic catalytic reactions.     

Dispersion of carbon nanotubes by carbazole-tailed amphiphilic imidazolium ionic liquids in aqueous solutions

Spectrophotometric, kinetic, and transmission electron microscopic (TEM) data for the formation of Ag-nanoparticles using aspartic acid (Asp) as reductant are reported for the first time. In the formation of transparent silver sols, an alkaline medium is required. The silver nanoparticles are spherical, uniform particle size, and strongly depend on the [Asp]. The apparent rate constant decreases with [Asp] (from 4.0 to 24.0×10(-4)moldm(-3), the rate constants decreased from 2.6×10(-4) to 0.3×10(-4)s(-1)). For a certain reaction time, i.e., 30min, the absorbance of the silver sol first increased until it reached a maximum, and then decreased with [Asp]. Kinetic and TEM results indicate that the size of the Ag-nanoparticles depends on the [Asp]. It is proposed that the oxidation of Asp occurs by the adsorbed Ag(+) ions on the surface of Ag(2)O particles.     

Global attractivity of an almost periodic N-species nonlinear ecological competitive model

By using comparison theorem and constructing suitable Lyapunov functional, we study the following almost periodic nonlinear N-species competitive Lotka-Volterra model: