金属氯化物-苯并噻唑有机-无机杂化化合物的合成、表征及荧光性质

金属卤化物MCl₂（M=Pb²⁺,Cd²⁺,Co²⁺）分别与苯并噻唑（btz）在浓盐酸中、80 ℃下反应,合成了3种有机-无机杂化化合物：（btzH）[（PbCl₃）] （1）,（btzH）₂[CdCl₄]·2H₂O （2）和（btzH）₂[CoCl₄]·2H₂O （3）,其中化合物2和3结构相似。对化合物1~3进行了粉末衍射、红外和紫外光谱、元素分析、热重分析以及X射线单晶衍射表征。荧光测试发现：化合物1~3在393 nm处有发射峰,该荧光来源于苯并噻唑环中电子的π…π跃迁。     

A three‐dimensional cadmium coordination polymer based on 1,4‐bis(1,2,4‐triazol‐1‐yl)but‐2‐ene and benzene‐1,3,5‐tricarboxylic acid

The Cd^II three‐dimensional coordination poly[[[μ₄‐1,4‐bis(1,2,4‐triazol‐1‐yl)but‐2‐ene]bis(μ₃‐5‐carboxybenzene‐1,3‐dicarboxylato)dicadmium(II)] dihydrate], {[Cd₂(C₉H₄O₆)₂(C₈H₁₀N₆)]·2H₂O}_n , (I), has been synthesized by the hydrothermal reaction of Cd(NO₃)₂·4H₂O, benzene‐1,3,5‐tricarboxylic acid (1,3,5‐H₃BTC) and 1,4‐bis(1,2,4‐triazol‐1‐yl)but‐2‐ene (1,4‐btbe). The IR spectrum suggests the presence of protonated carboxylic acid, deprotonated carboxylate and triazolyl groups. The purity of the bulk sample was confirmed by elemental analysis and X‐ray powder diffraction. Single‐crystal X‐ray diffraction analysis reveals that the Cd^II ions adopt a five‐coordinated distorted trigonal–bipyramidal geometry, coordinated by three O atoms from three different 1,3,5‐HBTC²⁻ ligands and two N atoms from two different 1,4‐btbe ligands; the latter are situated on centres of inversion. The Cd^II centres are bridged by 1,3,5‐HBTC²⁻ and 1,4‐btbe ligands into an overall three‐dimensional framework. When the Cd^II centres and the tetradentate 1,4‐btbe ligands are regarded as nodes, the three‐dimensional topology can be simplified as a binodal 4,6‐connected network. Thermogravimetric analysis confirms the presence of lattice water in (I). Photoluminescence studies imply that the emission of (I) may be ascribed to intraligand fluorescence.     

Proximal-gradient algorithms for fractional programming

In this paper, we propose two proximal-gradient algorithms for fractional programming problems in real Hilbert spaces, where the numerator is a proper, convex and lower semicontinuous function and the denominator is a smooth function, either concave or convex. In the iterative schemes, we perform a proximal step with respect to the nonsmooth numerator and a gradient step with respect to the smooth denominator. The algorithm in case of a concave denominator has the particularity that it generates sequences which approach both the (global) optimal solutions set and the optimal objective value of the underlying fractional programming problem. In case of a convex denominator the numerical scheme approaches the set of critical points of the objective function, provided the latter satisfies the Kurdyka-?ojasiewicz property.     

Certain properties related to well posedness of switching diffusions

This work is devoted to switching diffusions that have two components (a continuous component and a discrete component). Different from the so-called Markovian switching diffusions, in the setup, the discrete component (the switching) depends on the continuous component (the diffusion process). The objective of this paper is to provide a number of properties related to the well posedness. First, the differentiability with respect to initial data of the continuous component is established. Then, further properties including uniform continuity with respect to initial data, and smoothness of certain functionals are obtained. Moreover, Feller property is obtained under only local Lipschitz continuity. Finally, an example of Lotka–Volterra model under regime switching is provided as an illustration.     

非单C~*-代数α-比较性的等价刻画

给出非单C~*-代数α-比较性的等价刻画:当每个τ∈QT(■H)均为忠实时,■具有α-比较性,当且仅当对于任意的〈a〉,〈b〉∈Cu(■)且∝,若α·d_τ(a)≤在Cu(■)中成立;一般地,当QT(■H)≠Φ时,■具有α-比较性,当且仅当对于任意的,∈Cu(■),若存在η>0,使得d_τ(α)≤(α~(-1)-η)d_τ(b)(_τ∈QT(■H)),则≤在Cu(■)中成立.     

挤压油膜阻尼器-滑动轴承-柔性转子系统的动力响应分析

建立了挤压油膜阻尼器-滑动轴承-柔性转子非线性系统的动力学模型,采用Runge-Kutta法进行求解,进而对系统的稳定性和分叉行为进行了研究。仿真计算结果表明,系统能够在一定范围内保持稳定,随着转速的变化系统将会出现倍周期、准周期及混沌响应,从而为有效地控制转子的稳定运行状态提供了理论依据。     

Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions

A fast multipole method (FMM) is applied for BEM to reduce both the operation and memory requirement in dealing with very large scale problems. In this paper, a new version of fast multipole BEM for 2D elastostatics is presented and used for simulation of 2D elastic solid with a large number of randomly distributed inclusions combined with a similar subregion approach. Generalized minimum residual method (GMRES) is used as an iterative solver to solve the equation system formed by BEM iteratively. The numerical results show that the scheme presented is applicable to certain large scale problems. The project supported by the National Nature Science Foundation of China (10172053) and the Ministry of Education     

耐磨环氧胶粘涂层冲蚀磨损特性的研究

本文对气固冲蚀和浆体冲蚀条件下耐磨环氧胶粘涂层的磨损特性进行了研究。结果表明,这种涂层的冲蚀磨损是由粘结剂的磨损和抗磨填料的磨损所组成;填料粒度和磨料粒度都对涂层的气固冲蚀磨损有影响,但在给定的试验条件下,填料粒度对涂层的浆体冲蚀磨损影响甚微。文章指出,耐磨环氧胶粘涂层在气固冲蚀和浆体冲蚀下的磨损机理相似,但磨损规律却有所不同;耐磨环氧胶粘涂层尤其适用于浆体冲蚀的场合,可以明显地提高机械过流部件的使用寿命。     

低应变速率下形状记忆合金的特性实验研究

形状记忆合金以其特有的形状记忆效应和超弹性,被广泛应用于医学、航空和建筑防震。在耗能性机构中,需要形状记忆合金能够在变速率条件下工作。为了获得非静态条件下的行为特性,比较静态和非静态条件下形状记忆合金的行为特性的差异,本文采用一种新的分析方法,即以形状记忆合金的特性参数为对象,来分析不同应变速率对形状记忆合金特性的影响。在不同的应变速率(0.0005/s,0.001/s,0.005/s,0.01/s,0.05/s,0.1/s)下,对50.8at%-Ni-Ti记忆合金丝的形状记忆效应和超弹性特性进行了实验研究。在低应变速率范围内,由实验结果得到:随应变速率增大,两种特性行为中的各纯相的杨氏模量保持不变;拉伸过程相变起始和终了临界应力会增大,卸载过程相变起始和终了临界应力会减小,滞后环面积增大;相变硬化系数在形状记忆效应行为中会增大,而在超弹性行为中基本不变。