双弱连接结构的高精度超流体陀螺的量程分析

基于交流约瑟夫森效应的超流体陀螺研究是当前高性能新原理陀螺技术研究的一个重要方向。低温物理中基于交流约瑟夫森效应敏感转动角速度的典型双弱连接超流体陀螺方案原理上具有高灵敏度的技术优势,从工作原理上来说目前该方案要发展成有实用性陀螺仪面临着量程小这一关键问题,仿真分析表明了量程的范围与敏感面积和约瑟夫森频率的影响关系,并显示了仅调整这两个参数扩展量程范围的局限性,进而在此基础上研究了扩展量程的改进思路和方法。     

考虑微观粘滑的连接梁结构动力响应分析

连接的存在对结构的动力学响应有重要影响.界面的微观/宏观粘滑运动引起结构刚度和阻尼的非线性.传统的结构动力学研究中通常采用等效线性化的方式处理含连接结构的动响应分析问题.本文从连接界面微/宏观滑移运动引起结构非线性和阻尼迟滞的物理机理出发,利用一种弹簧-滑块并联系统模型模拟界面上的微/宏观粘滑行为,以该模型描述的本构关系为基础,推导了能应用于平面梁结构有限元动响应分析的非线性连接单元.利用上述模型和单元研究了含连接平面梁结构的动响应问题.设计了实验件,进行了力锤冲击实验,并将数值计算结果与实验结果进行了对比和分析.结果表明,界面微/宏观粘滑是引起干摩擦阻尼的主要原因,考虑非线性微/宏观粘滑运动对含连接结构的动响应分析至关重要.本文的模型和方法能够有效地预测含连接结构的非线性动力学响应,特别是在瞬态响应的高振幅阶段.     

Dynamics about Neural Array with Simple Lateral Inhibitory Connections

Lateral inhibitory effect is a well-known feature of information processing in neural systems. This paper presents a neural array model with simple lateral inhibitory connections. After detailed examining into the dynamics of this kind of neural array, the author gives the sufficient conditions under which the outputs of the network will tend to a special stable pattern called spatial sparse pattern in which if the output of a neuron is 1, then the outputs of the neurons in its neighborhood are 0. This ability called spatial sparse coding plays an important role in self-coding, self-organization and associative memory for patterns and pattern sequences. The main conclusions about the dynamics of this kind of neural array which is related to spatial sparse coding are introduced.     

一种简化复杂电路的简易有效方法

在"恒定电流"这一章中部分电路结构较为复杂,给教师讲解、学生解题带来一定困难.有些电路不容易看出电路的构成,虽能用电流分支法或者等电势点排列法等不同方法来分析讲解,但还不能从根本上简化;有相当一部分学生花费很多时间和精力还是不容易理解、掌握.笔者对此曾反复思考,发现用数学的"割补法"简化似乎更加简易、有效.     

A New One-dimensional Sodium Polymer Constructed from 4-Carboxy-benzenesulfonic Acid

A new one-dimensional double chain coordination polymer, [Na(cbsH)(H2O)3]n (cbsH = 4-carboxy-benzenesulfonic anion), has been synthesized by aqueous reaction, structurally described, and thermally characterized. It crystallizes in the triclinic system, space group P with a = 5.645(4), b = 7.905(5), c = 13.043(8) , α = 89.391(7), β = 80.637(7), γ = 82.845(7)°, V = 569.8(6) 3, Z = 2, C7H11NaO8S, Mr = 278.21, Dc = 1.622 Kg/m3, F(000) = 288, R = 0.0260 and wR = 0.0697. The title compound consists of one-dimensional double chains. 4-Carboxy-benzenesulfonic acid acts as a bridging bidentate ligand to link two sodium(I) ions to form a binuclear structure. Remarkably, the sodium(I) ion behaves as a metal bridge so that the binuclear structure units are connected to construct a one-dimensional double chain polymer. Furthermore, a 3-D framework is assembled through intermolecular hydrogen bonds. Thermogravimetric analysis shows that this compound begins losing the free solvent molecules at 106 ℃ and decompounding completely at 580 ℃.     

C12-3-C12·2Br及C12-3（OH）-C12·2Br水溶液的胶团聚集数及流变特征

采用荧光探针法测定了C12-3-C12·2Br及C12-3(OH)-C12·2Br Gemini表面活性剂胶团聚集数,结果表明,浓度极大影响其胶团聚集数,当浓度为各自临界胶团浓度的5.5倍时,由于联结链中羟基的作用,C12-3(OH)-C12·2Br的胶团聚集数为44.7,远大于C12-3-C12·2Br的33.2;C12-3-C12 ·2Br浓度直至64 mmol/L,C12-3(OH)-C12·2Br浓度直至54 mmol/L,剪切速度γ在0～1 875 s-1范围内,流变行为表现出牛顿体特征;在其后浓度的范围,临界剪切速度γ*以上时,为非牛顿体特征.黏度随浓度增大而增大并有—上升拐点;在联结链上引入羟基,对流变行为影响不大,但在相同条件下,黏度略微增大.     

An Unusual Binodal （4,12）-Connected 3D Supramolecular Network Based on [Mn4（OH）e（H20）2]6＋ Subunits

A new two-dimensional Mnn metal-organic framework (MOF), [Mn4(μ3-OH)2L2 (4,4'-bipy)2(H20)2]·H2O (1, H3L = 5-oxyacetateisophthalic acid, 4,4'-bipy = 4,4'-bipyridine) has been synthesized by the hydrothe...     

Synthesis and Crystal Structure of 9-Amino-7-（2-chlorophenyl）-6H-benzo[c]thiochromene-8,8,10（7H）-tricarbonitrile DMF Solvate

The title compound 9-amino-7-(2-chlorophenyl)-6H-benzo[c]thiochromene-8,8,10(7H)-tricarbonitrile DMF solvate(C25H20ClN5OS,Mr = 473.97) was synthesized and crystallized.The crystal belongs to triclinic,space group P1 with a = 7.6393(2),b = 10.5212(3),c = 15.0573(4) ,α = 86.797(1),β = 79.445(1),γ = 75.379(1)°,Z = 2,V = 1151.16(5) 3,Dc = 1.367 g.cm-3,μ(MoKα) = 0.285 mm-1,F(000) = 492,R = 0.0389 and wR = 0.1005 for 3455 observed reflections(I > 2σ(I)).X-ray analysis reveals that the new six-numbered ring(C(1)-C(6)) forms a skew boat conformation.The molecule links a molecule of DMF via the N(1)-H(1A)...O(1) hydrogen bond,while another hydrogen bond C(23)-H(23A)...N(2) links adjacent molecules,forming dimmers along the a axis.     

随机偏好连接图的中心极限定理

我们研究了一类具有随机顶点和边的随机连接图模型, 其中顶点的随机性由一个Poisson 点过程所决定, 边的随机性由一个概率连接函数所决定. 我们得到了带偏好的随机连接图模型的关于所有随机边的长度和的一个中心极限定理.