An approximate solution for the bending vibrations of a combination of rectangular thin plates

The appropriate method often used for calculating the bending vibration of a single rectangular plate is extended to calculate the bending vibrations of a global system of combinations of rectangular plates with elastically supported and damped non-coupled edges. Two examples, a series of T-combinations and an L-combination of rectangular thin isotropic plates, are considered and the input and transfer mobilities due to point excitation derived. Numerical results are presented for the case of combinations of concrete plates and the effects of varying the material damping of the plates and edge damping are investigated.The eigenfrequencies of an L-combination of plates with one plate of very high bending stiffness are calculated and results compare well with the eigenfrequencies of a single plate calculated by means of the classical Ritz-Rayleigh method.     

Formation of rutile-type Nb0.94O2 by shock reduction of Nb2O5

Shock-recovery experiments on Nb₂O₅ powder specimens are made in pressure ranges up to 50 GPa using the gun method. “NbO₂” with the rutile structure is formed above about 40 GPa when an open recovery fixture is used. The tetragonal unit cell dimensions are measured to be a = 4.784(2) Å, c = 3.029(2) Å, and V = 69.34(6) ų. The metal-to-oxygen ratio is determined to be Nb_0.94O₂ by means of thermogravimetry. A comparative study is made on the shock reduction behavior of Nb₂O₅ and Ta₂O₅.     

Complex dynamics of epidemic models on adaptive networks

There has been a substantial amount of well mixing epidemic models devoted to characterizing the observed complex phenomena (such as bistability, hysteresis, oscillations, etc.) during the transmission of many infectious diseases. A comprehensive explanation of these phenomena by epidemic models on complex networks is still lacking. In this paper we study epidemic dynamics in an adaptive network proposed by Gross et al., where the susceptibles are able to avoid contact with the infectious by rewiring their network connections. Such rewiring of the local connections changes the topology of the network, and inevitably has a profound effect on the transmission of the disease, which in turn influences the rewiring process. We rigorously prove that the adaptive epidemic model investigated in this paper exhibits degenerate Hopf bifurcation, homoclinic bifurcation and Bogdanov–Takens bifurcation. Our study shows that adaptive behaviors during an epidemic may induce complex dynamics of disease transmission, including bistability, transient and sustained oscillations, which contrast sharply to the dynamics of classical network models. Our results yield deeper insights into the interplay between topology of networks and the dynamics of disease transmission on networks.     

催化动力学荧光法测定痕量培氟沙星

研究了培氟沙星对铜(Ⅱ)催化过氧化氢氧化罗丹明B使其荧光猝灭的抑制作用,据此建立了催化动力学荧光分析法测定培氟沙星的新方法。在最佳实验条件下,方法线性范围为0.2~4.29μg/mL,检出限为0.2μg/L。对实际样品分析,平均回收率为97.6%~101.7%,相对标准偏差为1.03%~1.9%。     

纤维素2,3-位和2,3,6-位苯基氨基甲酸酯手性固定相的选择性研究

合成了纤维素-2,3,6-三苯基氨基甲酸酯、纤维素-2,3-二苯基氨基甲酸酯、纤维素-2,3,6-三(3,5-二甲基苯基氨基甲酸酯)和纤维素-2,3-二(3,5-二甲基苯基氨基甲酸酯)4种纤维素衍生物手性固定相,用正己烷-异丙醇（体积比为9∶1）混合液作流动相,对9种手性化合物进行了高效液相色谱拆分。实验结果表明:对所测的9个样品,纤维素-2,3-二苯基氨基甲酸酯的手性选择性大大好于纤维素-2,3,6-三苯基氨基甲酸酯;而纤维素-2,3-二(3,5-二甲基苯基氨基甲酸酯)与纤维素-2,3,6-三(3,5-二甲基苯基氨基甲酸酯)的分离因子针对不同的对映体各有优点,但前者通常具有更小的保留因子,可以缩短一定的分析时间。     

2,6-二甲酚双波长分光光度法同时测定水中NO3-及NO2-的研究

水中NO₃^-和NO₂^-的一般光度法同时测定已见报导,但其操作手续均较麻烦。2,6-二甲酚光度法单独测定NO₂^-或NO₂^-虽已有报导,可是它们相互干扰。我们采用双波长光度法,测定NO₃^-和NO₂^-在H₂SO₄介质与2,6-二甲酚的反应产物,既免除了它们的相互干扰,又达到同时测定的目的。     

靶向纳米钻石-甲氨蝶呤药物体系制备及与MCF-7细胞作用

以羧基化纳米钻石(ND-COOH)为基体, 通过共价键合方法将聚乙二醇二胺(H₂N-PEG-NH₂)、 叶酸(FA)和缩水甘油(GLY)偶联于ND-COOH表面, 赋予纳米钻石载体较好的水溶分散性和靶向性, 借助氢键和范德华力等作用力负载甲氨蝶呤(MTX), 得到靶向纳米钻石-聚乙二醇二胺-叶酸/缩水甘油/甲氨蝶呤(ND-PEG-FA/GLY/MTX NPF/G/M)纳米药物体系. 采用透射电子显微镜、 X射线能量色散谱、 粒径及电位测试证实已制备NPF/G/M. 体外释药发现NPF/G/M在肿瘤环境(pH=5.5)中的药物释放量为正常生理环境(pH=7.4)中的3倍, 表明其具有良好的药物输送特性. 此外, 利用流式细胞术和MTT毒性测试探究了MCF-7细胞摄取NPF/G/M的机制及动力学特性和细胞毒性, 结果表明NPF/G/M以依赖能量、 温度、 网格蛋白、 小窝蛋白和叶酸受体介导的机制进入细胞, 从而将药物缓慢释放于细胞内, 进而诱导细胞凋亡. 研究结果表明, NPF/G/M可作为一种良好的药物输送体系, 为其应用于乳腺癌的临床治疗提供理论参考.     

Amann三解定理的改进及其应用

本文对非线性泛函分析中著名的Ａｍａｎｎ三解定理作了本质性的改进,并将其结果应用到核函数不恒为正的Ｈａｍｍｅｒｓｔｅｉｎ型积分方程,得到了新的结论．     

Vandermonde行列式对Lagrange插值公式的应用

给出了广义Vandermonde行列式的一种求法,并运用它给出了Lagrange插值公式的几个证明.     

B、N掺杂对钠在石墨烯上吸附性能的影响

采用基于密度泛函理论的第一性原理方法,研究了本征石墨烯及缺陷石墨烯对Na原子的吸附行为。主要研究了三种石墨烯：本征石墨烯、B掺杂的石墨烯和N掺杂的石墨烯。结果表明,与本征石墨烯相比,B掺杂的石墨烯和N掺杂的石墨烯在吸附能、电荷密度、态密度和储钠量方面表现出很大的差异。B掺杂的石墨烯对Na原子的吸附能是-1.93 eV,约为本征石墨烯对Na原子吸附能的2.7倍;与本征石墨烯相比,N掺杂的石墨烯对Na原子的吸附能明显增大。态密度计算结果表明,Na原子与B掺杂的石墨烯中的B原子发生轨道杂化,而本征石墨烯和N掺杂的石墨烯中不存在轨道杂化现象。B掺杂的石墨烯对Na原子的吸附量是3个,与本征石墨烯相比显著提高。因此,B掺杂的石墨烯有望成为一种新型的储钠材料。