Kaup—Kupershmidt方程的对称代数

利用Ｍｉｕｒａ变换和Ｃｏｌｅ－Ｈｏｐｆ变换，证明了Ｋａｕｐ－Ｋｕｐｅｒｓｈｍｉｄｔ方程的１０族时间无关对称构成一个非Ａｂｅｌ李代数，与１０族对称相应的１０族方程具有共同的强对称。１０族可积模型的时间无关对称及其构成的李代数亦被给定。     

Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations

Using the generalized conditional symmetry approach, a complete list of canonicalforms for the Kortewegde-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained.The exact DDFSSs of the resulting equations are explicitly exhibited.     

液态温度下Na:KCl晶体中F_B(Ⅱ)色心激光的实验研究

介绍了掺Na的KCl晶体中F_B(Ⅱ)心在液氮温度下的稳定激光运转.Q开关Nd:YAG激光的信频输出泵浦色心晶体.激光发射波长为2.420～2.542μm.对实验结果作了讨论.     

大型桩基础动力特性及地震反应分析

本文针对大型桩基础的地震反应问题,以上海“东方明珠”广播电视塔桩基础为工程背景,采用梁单元模拟桩的运动,用8节点块体单元对土体进行离散,通过凝聚法消去桩（梁）节点的转动自由度,建立了“东方明珠”电视塔中央部位桩基础的三维有限元分析模型,对桩基础的动力特性进行了计算与分析。在此基础上,以文献[1]根据地震危险性分析和土层反应分析后获得的桩尖处加速度时程作为输入,对桩基础的动力反应进行时程分析,探讨了桩－土动力相互作用和上部结构等因素对地震地面运动和桩承台反应的影响,得到了一些有应用价值的结果。     

基于反应谱值分析的爆破震动破坏评估研究

采用反应谱方法研究了爆破震动信号的振动速度和频率特征,提出了采用反应谱曲线积分值来评估爆破震动破坏效应。通过对289组爆破地震波数据的统计表明,在反应谱曲线的积分值小于5时,爆破地震动不会对所研究的普通民房结构物产生震动破坏效应。     

Three-dimensional roselike α-Ni(OH)2 assembled from nanosheet building blocks for non-enzymatic glucose detection

Glucose detection plays very important roles in diagnostics and management of diabetes. The search for novel catalytic materials with appropriate architectures is the key step in the fabrication of highly sensitive glucose sensors. In this work, α-Ni(OH)₂ roselike structures (Ni(OH)₂-RS) assembled from nanosheet building blocks were successfully synthesized by a hydrothermal method through the hydrolysis of nickel chloride in the mixed solvents of water and ethanol with the assistance of polyethylene glycol (PEG). The structure and morphology of the roselike α-Ni(OH)₂ were characterized by transmission electron microscopy (TEM), field emission scanning electron microscopy (FE-SEM), X-ray photoelectron spectroscopy (XPS), X-ray powder diffraction (XRD) and N₂ adsorption–desorption isotherm measurement. TEM and FE-SEM images showed that the synthesized Ni(OH)₂ was roselike and the size of the leaf-shaped nanosheet was about 5 nm in thickness, which leads to larger active surface areas and faster electron transfer for the detection of glucose. Compared with the bare GCE and bulk Ni(OH)₂/GCE, the Ni(OH)₂-RS/GCE had higher catalytic activity toward the oxidation of glucose. Under the optimal conditions, the Ni(OH)₂-RS/GCE offers a variety of merits, such as a wide linear response window for glucose concentrations ranging from 0.87 μM to 10.53 mM, short response time (3 s), a lower detection limit of 0.08 μM (S/N = 3), as well as long term stability and repeatability.     

2-羟丙基-β-环糊精与二茂铁衍生物超分子胶束通过氧化还原响应控制药物释放

合成了新型的具有长链的二茂铁衍生物(P-Fc),并将其包络在2-羟丙基-β-环糊精(HP-β-CD)的空腔中,自组装形成超分子囊泡,并通过FTIR、1 HNMR、SEM和CV曲线对其进行结构形貌表征;分别以罗丹明6G(R6G)、盐酸阿霉素(DOX)作为药物,实现了R6G、DOX在囊泡中的成功装载。并通过加入氧化剂,将二茂铁氧化成二茂铁盐,将囊泡破坏,实现了 R6G 和 DOX 的快速定向释放,其药物装载量分别为6.89和39.06μg/mg,最大释放率分别为73.7%和88.2%。     

非晶态ZrO_2镶嵌的超细CeO_2催化HCl氧化

采用不同方法制备了铈锆复合氧化物催化剂用于催化HCl氧化反应。自发沉积策略制备的CeO_2@ZrO_2催化剂中,超细CeO_2纳米粒子均匀的镶嵌于非晶态ZrO_2中。CeO_2粒子显著的"尺寸效应"使得该催化剂具有更高的Ce~(3+)和氧空位浓度,而较高的Ce~(3+)和氧空位浓度使得催化剂具有优异的低温氧化还原性能和储释氧能力。催化性能测试表明,CeO_2@ZrO_2催化剂展现出最好的催化活性(1.90 gCl2·gcat~(-1)·h~(-1)),同时CeO_2粒子周围非晶态的ZrO_2阻碍CeO_2的高温烧结,提高了该催化剂的稳定性。     

达布定理和比较定理思想在中值定理类问题中的运用

微分达布定理表明区间内的导函数具有介值性,这使得我们在考虑一些数学分析问题时,往往可以不需要最高阶导函数的连续性.而在微分方程理论中,比较定理的思想对于解的估计非常重要.本文利用比较定理的思想将中值定理类问题转化为微分方程解的估计问题,对于在数学分析的学习中提高学生的认识和兴趣很有意义.     

循环取货模式下的多车场协同运输问题研究

分析循环取货模式和协同运输问题的关联性,提出了供需节点分离下的多车场一体化协同运输路线优化问题,考虑运输价值和运输成本,引入节点-弧流量的概念,通过比较流量大小确定节点集合,构建了问题的多供应点、多需求点运输模型.考虑取货的单向性和送货的闭合性,构造了求解模型的两阶段算法,运用动态规划的递推解法确定取货最优路线,然后基于余弦定理的几何法求解出发点和返回点不相同的送货路径优化问题,最后通过算例分析,说明了模型的合理性和算法的有效性.