功能梯度圆板的轴对称自由振动

基于三维弹性理论,用直接位移法求解了横观各向同性功能梯度圆板的轴对称自由振动,其材料特性沿板厚度方向按指数形式变化,在弹性简支和刚性滑动两种边界条件下得到了三维精确解,即它逐点满足基本方程和边界条件,最后给出了数值算例并与以前的工作进行了对比.该方法也可推广应用于材料特性沿板厚度任意变化情形.     

唐家山堰塞湖泄洪问题的研究

研究的是唐家山地震次生灾害引发的堰塞湖问题.首先对数字高程地图进行等高图像分析求解了堰塞湖不同高程水位对应的湖区面积,建立了蓄水量体积与堰塞湖水位高程的离散化模型,然后建立了神经网络模型和多元线性回归模型研究了北川降雨量与堰塞湖入库流量的关系,继而求解得到不同降雨量下每日堰塞湖水位高程.在研究泄洪过程时,首先通过对泄洪过程和溃坝过程内在机理的研究分别建立了正交多项式逼近模型和仿真模型得到溃坝时的溃口流量随时间变化的关系,继而分析求解得到溃坝时其他参数随时间变化的关系.针对淹没区的问题,综合数字高程地图和行政区域地图,利用数字地图计算了洪水到达各被淹没区域的时间,淹没范围,以便于确定撤离方案.     

单纯型上广义Bernstein算子

该文引进并研究定义在n维单纯型上的广义Bernstein算子.首先,证明该算子具有对称性和保持Lipshcitz性质.其次,借助多元Ditzian-Totik连续模,得到该算子逼近连续函数的一个强型正向估计和一个弱型逆向不等式.最后,给出参数sn满足不同条件的若干Voronovskaja型展开式.该文所获得的结果包含了经典的Bernstein算子的相应结果.     

预算软约束下的银行高管薪酬机制分析

为了探讨预算软约束对于银行高管薪酬机制的影响,本文构建了一个委托-代理模型,来描述在政府、银行的董事会和高级管理层之间的博弈中,预算软约束的条件是如何改变各参与人行为,从而影响高级管理层最优的薪酬结构,表现为薪酬-业绩敏感度.模型中,预算软约束的条件体现在当银行陷入危机时,政府有可能采取措施挽救银行使其免于破产,研究发现银行高管的薪酬-业绩敏感度与这种可能性成负相关关系.由于高级管理层持股比例是影响薪酬-业绩敏感度的重要因素,因此研究结论对于当前银行业制定管理层长期激励计划具有一定的指导意义.     

基于投影模型的区间不同形式偏好信息的群体决策方法

研究了决策者的偏好信息以区间互反判断矩阵和区间互补判断矩阵形式给出的群决策问题.首先将区间互反判断矩阵转换为区间互补判断矩阵;然后利用可能度计算公式得到相应的模糊判断矩阵,并得到各个专家的排序向量;然后基于投影模型将各个专家的排序向量规范化为群体最优排序向量.最后通过算例说明该方法的可行性和有效性.     

Conformational stability of the propylene oxide-water adduct: direct spectroscopic detection of O-H...O hydrogen bonded conformers

The 1:1 molecular adduct of propylene oxide and water (PO-H(2)O) was studied using Fourier transform microwave spectroscopy and high level ab initio methods. Two distinct structural conformers with the water molecule acting as a proton donor were detected experimentally: one with the water on the same side as the methyl group with respect to the ether ring, i.e., syn-PO-H(2)O, the other with the water molecule binding to the O-atom from the opposite side of the methyl group, i.e., anti-PO-H(2)O. The nonbonded hydrogen is entgegen to the ether ring in both conformers. Rotational spectra of four isotopic species, namely PO-H(2)O, PO-DOH, PO-HOD, and PO-D(2)O, were recorded for the two conformers. The hydrogen bond parameters: r(O(epoxy)...H), angle(ring-O(epoxy)...H), and angle(O(epoxy)...H-O) are 1.908 A, 112 degrees, and 177 degrees for syn-PO-H(2)O, and 1.885 A, 104.3 degrees, and 161.7 degrees for anti-PO-H(2)O, respectively. The experimental results suggest that the hydrogen bond in syn-PO-H(2)O is stronger and the monomer subunits are more rigidly locked in their positions than in the ethylene oxide-water adduct. The stabilizing effect of the methyl group to the intermolecular hydrogen bond is discussed in terms of the experimentally estimated binding energies, the structural parameters, and the ab initio calculations.     

Chiral self-recognition: direct spectroscopic detection of the homochiral and heterochiral dimers of propylene oxide in the gas phase

In this report, we describe rotational spectroscopic and high-level ab initio studies of the 1:1 chiral molecular adduct of propylene oxide dimer. The complexes are bound by weak secondary hydrogen bonds, that is, the O(epoxy)...H-C noncovalent interactions. Six homochiral and six heterochiral conformers were predicted to be the most stable configurations where each monomer acts as a proton acceptor and a donor simultaneously, forming two six- or five-membered intermolecular hydrogen-bonded rings. Rotational spectra of six, that is, three homochiral and heterochiral conformer pairs, out of the eight conformers that were predicted to have sufficiently large permanent electric dipole moments were measured and analyzed. The relative conformational stability order and the signs of the chiral recognition energies of the six conformers were determined experimentally and were compared to the ab initio computational results. The experimental observations and the ab initio calculations suggest that the concerted effort of these weak secondary hydrogen bonds can successfully lock the subunits in a particular orientation and that the overall binding strength is comparable to a classic hydrogen bond.     

TiO2纳米颗粒对钌(II)三联吡啶配合物光损伤小牛胸腺DNA能力的影响

由于极短的激发态寿命, 钌(II)三联吡啶配合物对脱氧核糖核酸(DNA)的光损伤能力低下. 设计合成了三个钌(II)三联吡啶配合物[Ru(ttp)(tpy)]^2＋ (1), [Ru(ttp-COOH)(tpy)]^2＋ (2)和[Ru(ttp-COOH)(tpy-pyr)]^2＋ (3), 其中tpy为2,2':6',2"-三联吡啶, ttp为4′-(4-甲苯基)-2,2':6',2"-三联吡啶, ttp-COOH为4′-(4-羧基苯基)-2,2':6',2"-三联吡啶, tpy-pyr为4'-(1-芘基)-2,2':6',2"-三联吡啶. 比较了TiO₂纳米颗粒对它们光损伤小牛胸腺DNA的影响. 发现TiO₂纳米颗粒在空气和氩气条件下均可显著提高配合物3光损伤DNA的能力. TiO₂纳米颗粒和配合物3间的光诱导电子转移作用及其该作用生成的钌(III)物种可能是促进配合物3对DNA光损伤的主要原因.     

Recurrences in rotational dynamics and experimental measurement of superfluidity in doped helium clusters

We present the first experimental evidence of recurrences in the rotational dynamics of doped helium clusters. Using the dopant molecule as an experimental microscopic probe of superfluidity, we show that in small He(N)-N2O complexes, superfluidity builds up in stages correlated with the filling and completion of a solvation shell.     

聚合物与表面活性剂混合模板调控碳酸钙结晶

以聚乙烯醇(PVA)和聚苯乙烯磺酸钠(PSSS)分别与十六烷基三甲基溴化铵(CTAB)组成混合模板,在CaCl2、Na2CO3体系中调控合成CaCO3晶体.考察了不同CTAB浓度及结晶温度对碳酸钙晶体的影响.通过扫描电子显微镜(SEM)、红外光谱(FT-IR)及X射线衍射(XRD)等技术对晶体的形貌和结构进行了表征,并对不同形貌碳酸钙的形成机理进行了探讨.结果表明:在PVA和CTAB模板中,5℃为方解石椭球状聚集体,25℃时为菊花状、立方状的方解石和球霰石的混晶,90℃时得到针状文石晶簇.以PSSS和CTAB模板调控下的碳酸钙,5℃时为球状的方解石和球霰石的混晶,25℃为颗粒均匀的球形球霰石,90℃时得到了花朵状文石.不同形貌及晶型碳酸钙的生成源自聚合物与CTAB组成复合物结构的差异.