Mei Symmetry and Mei Conserved Quantity for a Non-holonomic Systemof Non-Chetaev's Type with Unilateral Constraints in Nielsen Style

Mei symmetry and Mei conserved quantity for a non-holonomic system of non-Chetaev's type with unilateral constraints in the Nielsen style are studied. The differential equations of motion for the system above are established. The definition and the criteria of Mei symmetry, conditions, and expressions of Mei conserved quantity deduced directly from the Mei symmetry are given. An example is given to illustrate the application of the results.     

制冷型红外成像系统内部杂散辐射测量方法

杂散辐射是红外光学系统设计和检测过程中涉及的一项重要指标.为了定量测量红外成像系统内部杂散辐射, 提出一种基于辐射定标的测量方法, 并通过理论推导和实验验证以说明该方法的合理性.首先, 建立了不带光学系统的辐射定标模型, 即探测器直接接收定标源辐射能, 获得探测器内部因素对系统输出的影响; 然后将其与带有光学系统的定标结果进行比较, 得到由光学系统自身辐射对系统输出的影响, 进而计算红外成像系统内部杂散辐射; 最后通过实验证明了本文理论的正确性.该方法操作简单, 对实验条件要求低, 并可以精确地测量红外成像系统内部杂散辐射.可用于指导红外系统设计中的杂散辐射抑制, 验证系统杂散辐射分析结果是否准确以及检测系统杂散辐射指标是否合格.     

相对运动完整系统Appell方程Mei对称性的共形不变性与守恒量

研究相对运动完整系统Appell方程Mei对称性的共形不变性与守恒量. 引入无限小单参数变换群及其生成元向量, 给出相对运动完整系统Appell方程的Mei对称性和共形不变性的定义, 导出系统Mei对称性的共形不变性确定方程, 重点讨论系统共形不变性和Mei对称性的关系, 然后借助规范函数满足的结构方程导出系统Mei对称性导致的Mei守恒量表达式, 最后举例说明结果的应用.     

Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system

Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investigated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results.     

Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量

研究Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量.在群的无限小变换下,由Lagrange系统Mei对称性的定义和判据,得到Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量.举例说明结果的应用.     

Mei conserved quantity of Nielsen equation for anon-Chetaev-type non-holonomic system

<正>The Mei symmetry and Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic non-conservative system are studied.The differential equations of motion of the Nielsen equation for the system,the definition and the criterion of Mei symmetry and the condition and the form of Mei conserved quantities deduced directly from the Mei symmetry for the system are obtained.Finally,an example is given to illustrate the application of the results.     

Chetaev型约束力学系统Appell方程的Lie对称性与守恒量

研究Chetaev型约束力学系统Appell方程的Lie对称性和Lie对称性直接导致的守恒量.分析Lagrange函数和A函数的关系;讨论Chetaev型约束力学系统Appell方程的Lie对称性导致的守恒量的一般研究方法;在群的无限小变换下,给出Appell方程Lie对称性的定义和判据;得到Lie对称性的结构方程以及Lie对称性直接导致的守恒量的表达式.举例说明结果的应用. 关键词： Appell方程 Chetaev 型约束力学系统 Lie对称性 守恒量     

混合溶剂前体法制备纳米CuO粉体及其性能表征

Nano-CuO was prepared by heating nano-Cu₂(OH)₂CO₃ precursors in different calcination temperatures. The precursor was synthesized from water-alcohol mixed solution of Cu(Ac)₂ using mixed solution of NaOH and Na₂CO₃as precipitants. XRD, FT-IR, TEM, TG-DTA and surface area measurement techniques were used to investigate the properties of the CuO powder. The results show that the spherical, well dispersed nano-CuO powder with the average size of 15 nm and higher catalytic activity for H₂O₂ decomposition was obtained at 300 ℃. With the increasing of calcination temperature, crystal of CuO grows up, agglomeration of the powder becomes heavier and catalytic activity decreases. FT-IR patterns revealed that the vibration fine structure of Cu-O bond in nano-CuO powder disappears and main absorption is red-shifted with the average size of nano-CuO reducing.     

由吡嗪衍生配体构筑的金属Cd(Ⅱ)配位聚合物的合成、结构及生物活性

在相同的反应条件下,采用吡嗪衍生物作为配体与不同的金属镉盐反应,合成了2个新颖的配位化合物[Cd(L)₂]_n(1)和[Cd₂(L)₂(CH₃COO)₂(H₂O)₂](2)(HL=4-((3-(pyrazin-2-yl)-1H-pyrazol-1-yl)methyl)benzoicacid),并通过元素分析、热重分析、荧光光谱、X射线单晶衍射对化合物进行分析。结构分析表明1属于三斜晶系,P1空间群。金属Cd(Ⅱ)采用三角双锥构型,最后形成2D三明治结构;而2是双核结构,其中羧酸基团采用双齿螯合与金属配位。1与2的结构差异很大程度上归结于羧酸配位模式的不同以及阴离子的协同效应。此外,对配合物1和2进行了抗氧化活性的研究。     

基于2,3-二羟基丁二酸新配位方式构建的新颖双U形四核铜配合物[Cu4(dhbd)2(dpphen)4•2H2O]•8H2O

利用水热法合成了标题配合物Cu₄(dhbd)₂(dpphen)₄•2H₂O]•8H₂O(H4dhbd＝2,3-二羟基丁二酸, dpphen＝4,7-二苯基-1,10-邻菲咯啉), 通过元素分析、红外光谱、热分析、X射线单晶衍射等技术对其进行了表征. 晶体结构分析表明, 由于水的配位阻断, 2,3-二羟基丁二酸根仅通过单羟基氧桥联两个U形双核亚单元形成具有一个对称中心的双U形四核结构, 其中U型亚单元包含晶体学上不对称的2个Cu(II)原子、1个2,3-二羟基丁二酸根(dhbd)、2个4,7-二苯基-1,10-邻菲咯啉(dpphen)和1个配位H₂O分子. 毗邻的四核单元通过配位H2O分子和配位羟基O原子形成的R₂²(8)型环形氢键桥的连接, 沿a轴方向构建了四核单元交替相连的一维超分子链; 链间籍苯环的π-π堆积作用和晶格水分子氢键链的连接进一步扩展为具有隧道的三维结构. 配合物中呈现了一种2,3-二羟基丁二酸与过渡金属配位的新方式. 变温磁化率研究表明标题配合物具有弱的反铁磁耦合作用.