Analytical solutions to edge effect of composite laminates based on symplectic dual system

In the symplectic space composed of the original variables, displacements, and their dual variables, stresses, the symplectic solution for the composite laminates based on the Pipes-Pagano model is established in this paper. In contrast to the traditional technique using only one kind of variables, the symplectic dual variables include displacement components as well as stress components. Therefore, the compatibility conditions of displacement and stress at interfaces can be formulated simultaneously. After being introduced into the symplectic dual system, the uniform schemes, such as the separation of variables and symplectic eigenfunction expansion method, can be implemented conveniently to analyze composite laminate problems. An analytical solution for the free edge effect of composite laminates is obtained, showing the effectiveness of the symplectic dual method in analyzing composite laminates.     

ICP-AES测定青岛崂山绿茶中的微量元素

采用HNO3-H2O2混合酸,密闭微波消解样品,应用ICP-AES测定青岛崂山绿茶中Al、Ca、Cd、Co、Cr、Cu、Fe、K、Mg、Mn、Na、Ni、Pb、Se、Sr、V和Zn等17种营养元素及重金属元素的含量。测定结果的相对标准偏差均小于3.50%,对17种元素的加标回收率在90.0%—110.2%之间,采用该方法测得的茶叶标准物质（GBW10016）的17种元素的值均在标准值范围内,方法准确度高。实验结果表明青岛崂山绿茶中含有大量对人体有益的元素包括Ca、Co、Cr、Cu、Fe、K、Mg、Mn、Na、Ni、Se、Sr、V和Zn等,另外也检测到含有Al,Cd和Pb等有毒、有害元素,但是含量很低,对人体的不利影响可以忽略不计。     

多层多孔锂离子电池结构的导波频散特征及其应用EI北大核心CSCD

采用状态矩阵与勒让德级数联合法,同步联立Biot理论,构建多层多孔锂离子电池声传播特性理论模型,以厚1.9 mm软包钴酸锂电池为例,数值分析了荷电状态(State of Charge,SOC)对多模态频散曲线的影响规律。同时,建立了电池中的声传播特性频域仿真模型,提取频域仿真中的超声导波频散曲线。此外,以体积小、柔性强的压电纤维复合材料(Macro Fiber Composite,MFC)为基础,实验探究了不同SOC对锂离子电池中声学行为的影响。采用互相关分析获取电池放电过程中声波渡越时间的偏移规律,建立了1.9 mm软包钴酸锂电池的声学波动行为与电池SOC间的映射关系。     

夹在两个柔性层中薄膜的正弦模态界面屈曲分析

当一层比较硬的薄膜被封闭在上下两层柔性层中,组成了三层材料结构.在压应力的作用下,这层薄膜可能会发生屈曲失稳.由可弯曲电路封装在柔性层中组成的三层材料系统能进一步提高其弯曲性能的事实得到启发,不同于广泛研究的双层材料结构表面屈曲问题,从理论上分析三层材料结构在压应力作用下的刚硬薄膜的正弦模态屈曲问题.柔性层和刚硬薄膜材料假定皆为各向同性.由于薄膜厚度远远小于柔性层厚度,柔性层在理论分析中认为是无穷厚的.刚硬薄膜可以用非线性薄板模拟,其变形为小应变但是允许有限转动,用于描述屈曲时的状态.利用线性扰动分析,得到了屈曲临界薄膜应力,波数和平衡状态下的波幅的解析表达式.结果表明,针对不同的刚硬薄膜和柔性层的弹性模量,当刚硬薄膜相对于上下柔性层越硬,就越容易发生界面屈曲.     

Dynamical localization effect in a coupled quantum dot array driven by an AC magnetic field

We have studied the transport properties of a ring-coupled quantum dot array driven by an AC magnetic field, which is connected to two leads, and we give the response of the transport current to the dynamical localization. We found that when the ratio of the magnetic flux to the total quantum dots number is a root of the zeroth order Bessel function, dynamical localization and collapse of quasi-energy occurs and importantly, the transport current displays a dip which is the signal of dynamical localization. The dynamical localization effect is strengthened as a result of the increase of the quantum dot number, and it is weakened on account of the increase of the dots-lead hopping rate.     

Vortex Structures and Behavior of a Flow Past Two Rotating Circular Cylinders Arranged Side-by-Side

We present a study on the vortex structures and behavior of a flow past two rotating circular cylinders arranged side-by-side at a range of absolute rotational speeds （｜a｜≤2） for two different gap spacings g＊= 1.5 and 0.7 at Reynolds numbers Re = 160 and 200. The results show that the flow becomes stabilized and finally steady beyond the critical rotational speed as ｜a｜ increases, regardless of the variation in Re and g＊. The value of critical rotational speed increases with increasing Re. The wake patterns change in the unsteady regimes for g＊ =1.5 and 0.7. With increasing ｜a｜, the time-averaged drag coemcient CD decreases and the lift coemcient CL increases, respectively. CD at Re = 160 and g＊ = 0.7 decreases rapidly, resulting in the smallest value at the same ｜a｜ for 1 ≤ ｜a｜≤ 2. CD augments with increasing g＊ at the same ｜a｜. For g＊=1.5, CD has a little disparity between the cases of Re= 160 and 200. For the flow past two still cylinders, CL is inversely proportional to g＊ of two cylinders for a fixed ｜a｜, and is not dependent on Re.     

硝酸镥急性毒性的体液核磁共振氢谱研究

采用现代核磁共振技术,通过分析灌胃给药0．01、0．05、0．2、2、10和100ms／kg剂量Lu(NO3)3 24h内大鼠尿液及24h后大鼠血清的核磁共振氢谱(^1HNMR),由体液中内源性代谢物浓度的变化研究了稀土化合物在动物体内急性毒性。较高剂量组体液中的氨基酸、尿囊素、柠檬酸、氮氧三甲胺和肌酸酐等重要内源性代谢物的核磁共振谱峰强度发生了明显的变化,说明动物体内的代谢物出现异常：高剂量的稀土的引入可能使动物肾脏和肝脏均受到损害,且受损程度随稀土剂量的增高而渐趋严重。     

流形上矩阵方程AX=B的正定及半正定阵的反问题

文[1-5]中研究了对称、对称半正定及流形上的对称半正定的反问题,并说明了其应用背景.本文研究线性流形上的正定及半正定阵的反问题,说明了文[1-3]中的一些结果为本文的特例.     

受限空间下的烯烃聚合研究

近些年来,随着纳米技术的发展,出现了很多微纳米反应器,该反应器能够提供具有纳米尺寸的反应环境,使得在该环境下进行的反应受到纳米空间的影响,生成具有纳米效应或特殊结构的产物。在聚烯烃催化聚合中,也出现很多具有受限空间的微纳米反应器载体,这些载体不仅能够负载烯烃催化剂,还能为烯烃聚合反应提供受限空间环境。在纳米尺度效应的影响下,催化烯烃聚合进程发生变化,可以得到一些具有特殊结构与性能(比如高熔点、超高分子量、纤维状)的聚烯烃产物。本文总结现阶段受限空间下烯烃聚合研究的最新成果,主要根据聚合物的不同结构进行分类,分别介绍了受限空间对聚烯烃产物的形貌、反应动力学及活性、初级结构、二级结构和凝聚态结构及性能的影响,并对受限聚合研究的发展趋势进行了展望。     

两步沉积法制备Br或Cl掺杂的有机-无机杂化钙钛矿太阳电池

采用控制前驱体浓度的两步沉积法和插入PbI₂层的DMSO分子（PbI₂（DMSO）复合体）分别与MAX（MA=CH₃NH₃,X=I,Br）或MAX（X=I,Cl）进行的分子内交换法,实现了Br或Cl的掺杂并合成了厚度为300nm左右的混合卤化物钙钛矿MAPbI_3-xBr_x和MAPbI_3-xCl_x膜。MAX前驱体溶液中含5%（摩尔分数,下同）MABr或15% MACl所生成的Br或Cl掺杂钙钛矿膜能提高钙钛矿太阳电池的光伏性能,进一步提高MABr或MACl的含量并不会明显改变掺杂量,但会形成小的白色颗粒或者针孔,这些将对电池的性能产生不利影响。前驱体溶液含5% MABr的MAPbI_3-xBr_x钙钛矿太阳电池所获得的能量转换效率（PCE）为13.2%,含15% MACl的MAPbI_3-xCl_x钙钛矿太阳电池获得了最高13.5%的PCE。