Multilevel augmentation methods for eigen-problems of compact integral operators

Numerical Algorithms - In this paper, we combine the ideas of multilevel augmentation methods for solving integral equations and the shifted-inverse power method to develop a new multilevel...     

Fluorescent-tagged block copolymer as an effective and green inhibitor for calcium sulfate scales

Allyloxy polyethoxy ether (APEG) and succinic anhydride were used to prepare allyloxy polyethoxy carboxylate (APEL). 8-Hydroxy-1,3,6-pyrene trisulfonic acid trisodium salt (PY) was reacted with allyl chloride to produce fluorescent monomer 8-allyloxy-1,3,6-pyrene trisulfonic acid trisodium salt (PA). APEL and PA were copolymerized with maleic anhydride (MA) to synthesize PA tagged no phosphate and nitrogen free CaSO₄ inhibitor MA–APEL–PA. Structures of PA, APEG, APEL, and MA–APEL–PA were identified by ¹H NMR. The observation shows that the dosage of MA–APEL–PA plays an important role on CaSO₄ inhibition. The effect on formation of CaSO₄ was investigated with scanning electron microscope (SEM) analysis. Relationship between MA–APEL–PA’s fluorescent intensity and its dosage was studied. Correlation coefficient R ² of MA–APEL–PA fluorescent intensity and MA–APEL–PA dosage is 0.9991.     

Numerical simulation on the operational characteristics of the pulsed inductive acceleration

To analyse the ionization and acceleration properties of an inductive plasma excited by a pulsed current flowing through the planar coil, the extended GLM formulations of the MHD (EGLM‐MHD) model, combined with the high‐temperature thermodynamic and transport model, is employed to simulate the characteristics of the flow. The two‐dimensional axisymmetric calculation captures the generation, growth, and acceleration of the current sheet, and the process is completed in the first half period. The sheet is mainly comprised of lower ionization level ions in the front and higher level ions at the back, and the density is one order higher than that of the residual plasma on the coil surface. As the abscissa value of the sheet is larger than the decoupling distance, a reversed flow emerges, generating a backward impulse, and the negative velocity can be more than 15 km/s at peak intensity B₀ = 0.5 T. In the second 1/4 period, the magnetic field and current density distribute non‐linearly on the surface and regularly in the sheet, caused by the reversing of the changing rate of the magnetic field and the particles' radial diffusion. The results at different intensities show that, for the same coil size, the time at which the maximum velocity V_max appears is advanced as the intensity increases, and V_max can be greater than 20 km/s above 0.5 T.     

简化的溶胶凝胶法合成LiMn2-xLaxO4及电性能研究

采用以水溶液作为反应介质的简化的溶胶凝胶法制备了LiMn2O4和稀土La掺杂的LiMn1.98La0.02O4粉体材料, 此方法工艺简单, 容易控制, 制备周期短. 利用XRD, SEM对材料粉体进行结构形态表征, 并以合成的材料为正极活性材料测试其充放电性能、循环伏安性能、 电化学阻抗谱性能. 实验结果表明: 材料LiMn2O4和LiMn1.98La0.02O4具有较好的尖晶石结构, 且颗粒分布均匀, 掺杂La的材料循环性能有较大改善. 以LiMn2O4为正极活性物质的扣式电池首次放电比容量129.38 mAh · g-1, 循环20次后容量保持在94%, 以LiMn1.98La0.02O4为正极活性物质的扣式电池首次放电比容量106.77 mAh · g-1, 循环20此后容量保持在96.2%.     

微腔等离子体放电过程的数值研究

采用2维自洽完全流体模型,数值研究了阳极为通孔的高气压微腔放电结构中等离子体参数的变化过程。模拟结果获得了当氩气压强为13.3 kPa时,放电中的电势分布、等离子体密度分布、径向电场分布和电子温度分布等重要参数的演化过程。模拟结果表明在放电过程中,阴极附近的电场由轴向电场逐步转变为径向电场,等离子体密度最大值位于放电腔中间处,并随时间推移由阳极附近向阴极附近移动,电子温度的最大值出现在阴极环形鞘层区域。     

边坡变形的分布式光纤监测模拟试验研究

布里渊散射光时域反射测量技术(BOTDR)作为一项新型光电传感监测技术,因其具有良好的抗干扰、长距离、可植入性和分布式监测的特点而被广泛应用于结构工程健康监测中。而直接将光纤布设在土体中则存在变形协调性差、易折断及空间定位难等问题。本次研究通过室内小比例尺模型试验,分别将光纤植入土工布和土工格栅等柔性复合材料中并一起铺设在边坡模型不同深度处,利用BOTDR监测边坡在外荷作用下的变形特征。试验结果表明,布设在土工格栅中的光纤稳定性最好; 土工布中的光纤变形协调性和敏感性优于土工格栅; 通过合理布置光纤能够对异常应变进行较为准确的识别和定位。试验初步验证了该方法应用于土质边坡变形监测的可行性。     

Bifurcation and chaos in discrete-time BVP oscillator

In this paper, we investigate the discrete-time Bohöffer-Van der Pol (BVP) oscillator obtained by Euler method. We provide the sufficient conditions of existence, asymptotic stability of the fixed points, then give theoretical analysis for local bifurcations of the fixed points, and derive the conditions under which the local bifurcations such as pitchfork, saddle-node, flip and Hopf occur at the fixed points. Furthermore, we prove that the fixed point eventually evolves into a snap-back repeller which generates chaotic behavior in the sense of Marotto's chaos when certain conditions are satisfied. Finally, several numerical simulations are provided to demonstrate the theoretical results of the previous and to show the new complex dynamical behaviors of the system.     

C_（60）与含烯丙基胺聚合物加成物的荧光行为

Ｃ_（６０）与含烯丙基胺聚合物加成物的荧光行为田慧洁，陈立桅，姚光庆，金朝霞，李福绵（北京大学化学系北京１００８７１）关键词脂肪胺，Ｃ_（６０），聚烯丙基胺，荧光Ｃ６０是一高度对称的笼状碳簇分子，室温下难以观察到荧光现象［１］，但我们发现它与聚烯丙基胺...     

A new route for the preparation of liquid crystalline polyorganosiloxanes containing laterally linked mesogenic units on the main chains

A new route for the preparation of liquid crystalline polyorganosiloxanes containing laterally linked mesogenic units on the main chains (LLM-POS) is described. First, a novel polyorganosiloxane containing hydroquinone units on the main chains (HQ-POS) was synthesized by hydrosilylation polymerization. To avoid the oxygen silylation side reaction of phenolic groups, tetrahydropyranyl (THP) protective groups were used on the phenols taking part in the hydrosilylation reaction, the results indicating that THP groups are very stable and effective in hydrosilylation reactions. Then HQ-POS was further modified by a grafting reaction with 4-n-octyloxybenzoyl chloride, giving the desired LLM-POS, which has an increased molecular mass in comparison with similar polymers prepared by commonly used approaches. The titled LLM-POS was characterized by DSC, POM and XRD and shown to give smectic textures.