Construction Theory of Function on Local Fields

We establish the construction theory of function based upon a local field K p as underlying space. By virture of the concept of pseudo-differential operator, we introduce "fractal calculus"(or, p-type calculus, or, Gibbs-Butzer calculus). Then, show the Jackson direct approximation theorems, Bermstein inverse approximation theorems and the equivalent approximation theorems for compact group D( Kp) and locally compact group K+p(= Kp), so that the foundation of construction theory of function on local fields is established. Moreover, the Jackson type, Bernstein type,and equivalent approximation theorems on the H ?lder-type space Cσ(Kp), σ 0, are proved; then the equivalent approximation theorem on Sobolev-type space Wrσ(Kp),σ≥ 0, 1 ≤ r +∞, is shown.     

ADS注入器ⅡCry Module的低温准直测量技术

作为ADS注入器Ⅱ的关键元件,Cry Module由于其无法通视和超低温特性,是超导直线加速器准直中的重点与难点.提出由激光跟踪仪和测微准直望远镜协同准直冷质量组件.设计测微准直望远镜所用十字丝目标及其支架.成功安装冷质量组件,监测了两次低温实验时的位移.常温安装精度达到0.15mm,低温监测精度达到0.5mmm.目前ADS-Cry Module已通过专家组的水平测试验收,技术指标优于国际上的最好水平.     

Advances in high carbon dioxide separation performance of poly(ethylene oxide)-based membranes

Poly(ethylene-oxide)(PEO)-based membranes have attracted much attention recently for CO2 separation because CO2 is highly soluble into PEO and shows high selectivity over other gases such as CH4 and N2.Unfortunately,those membranes are not strong enough mechanically and highly crystalline,which hinders their broader applications for separation membranes.In this review discussions are made,as much in detail as possible,on the strategies to improve gas separation performance of PEO-based membranes.Some of techniques such as synthesis of graft copolymers that contain PEO,cross-linking of polymers and blending with long chains polymers contributed significantly to improvement of membrane.Incorporation of ionic liquids/nanoparticles has also been found effective.However,surface modification of nanoparticles has been done chemically or physically to enhance their compatibility with polymer matrix.As a result of all such efforts,an excellent performance,i.e.,CO2 permeability up to 200 Barrer,CO2/N2 selectivity up to 200 and CO2/CH4 selectivity up to 70,could be achieved.Another method is to introduce functional groups into PEO-based polymers which boosted CO2 permeability up to 200 Barrer with CO2/CH4 selectivity between 40 and 50.The CO2 permeability of PEO-based membranes increases,without much change in selectivity,when the length of ethylene oxide is increased.     

粗糙床面物质交换特性及其主导机制实验研究

粗糙底床泥-水界面区域的物质交换过程不仅与水动力作用有关,还涉及到底床物理特性和床面形态的影响.为研究粗糙底床渗透率和床面微地形对泥-水界面物质交换过程的综合影响,通过实验室环形水槽实验,测量得到不同砂质平整底床和存在离散粗糙元床面条件下,泥-水界面物质交换通量和有效扩散系数的定量数据和变化特征,并采用参数化方法分析无量纲控制参数变化范围内界面物质交换特性的主导机制.实验结果表明,粗糙底床渗透率和床面微地形共同对泥-水界面物质交换过程起重要作用.与平整底床相比,离散粗糙元局部绕流结构驱动的附加泵吸交换不同程度增大了界面物质交换通量,其增强效应与底床渗透率和床面粗糙度的变化密切相关.随底床渗透率和床面粗糙度的增大,有效扩散系数总体呈增大趋势,湍流渗透对界面物质交换的影响趋于增强,而泵吸交换的相对贡献趋于减弱.因此,分析存在床面微地形粗糙底床的主导界面物质交换机制,需要考虑底床渗透率和床面粗糙度的综合影响.     

双子佯谬与星际航行

计算了在两个假想的星际航行方案中,与"双子佯谬"相关的时间差别.这种差别体现了惯性与非惯性参考系经历的时间有绝对差异,而不再是"相对"效应.     

Influence of external load on friction coefficient of Fe-polytetrafluoroethylene

A coarse-grained molecular dynamics simulation model was developed in this study to investigate the friction process occurring between Fe and polytetrafluoroethylene(PTFE).We investigated the effect of an external load on the friction coefficient of Fe–PTFE using the molecular dynamics simulations and experimental methods.The simulation results show that the friction coefficient decreases with the external load increasing,which is in a good agreement with the experimental results.The high external load could result in a larger contact area between the Fe and PTFE layers,severer springback as a consequence of the deformed PTFE molecules,and faster motion of the PTFE molecules,thereby affecting the friction force and normal force during friction and consequently varying the friction coefficient.     

Mindlin 矩形微板的热弹性阻尼解析解

首次给出了四边简支的 Mindlin 矩形微板热弹性阻尼的解析解. 基于考虑一阶剪切变形的 Mindlin 板理论和单向耦合热传导理论建立了微板热弹性耦合自由振动控制微分方程. 忽略温度梯度在面内的变化,在上下表面绝热边界条件下求得了用变形几何量表示的温度场的解析解. 进一步将包含热弯曲内力的结构振动方程转化为只包含挠度振幅的四阶偏微分方程. 利用特征值问题之间在数学上的相似性,在四边简支条件下给出了用无阻尼 Kirchhoff 微板的固有频率表示的 Mindlin 矩形微板的复频率解析解,从而利用复频率法求得了反映热弹性阻尼水平的逆品质因子. 最后,通过数值结果定量地分析了剪切变形、材料以及几何参数对热弹性阻尼的影响 规律. 结果表明,Mindlin 板理论预测的热弹性阻尼小于 Kirchhoff 板理论预测的热弹性阻尼. 两种理论预测的热弹性阻尼之间的差值在临界厚度附近十分显著. 另外,随着微板的边/厚比增大,Mindlin 微板的热弹性阻尼最大值单调增大,而 Kirchhoff 微板的热弹性阻尼最大值却保持不变.      

微氧化烧结制备掺杂Y2O3的SiC陶瓷及含镉模拟废水处理

采用了微氧化烧结制备了不同Y₂O₃质量分数（0%、2%、4%、6%）的多孔SiC陶瓷，通过对陶瓷的晶体结构、微观形貌、物理性能和Cd²⁺的去除率测试发现：添加了Y₂O₃的SiC陶瓷出现了较多的第二相Y₂SiO₇、Y₅Si₃C_0.5，随着Y₂O₃的质量分数增加逐渐升高，主相的衍射峰的强度有降低。扫描电子显微镜测试发现，SiC陶瓷的尺寸在2.5 μm，Y₂O₃引入后，SiC陶瓷的晶粒尺寸降低，高温烧结时液相的含量增加，熔体粘度降低，晶粒结合更加紧密，Y₂O₃的引入提高了多孔陶瓷的体积密度，Y₂O₃质量分数为6%SiC的体积密度最大为2.21 g/cm³。热导率随着Y₂O₃质量分数的增加呈现出先升高后降低的趋势。金属Cd²⁺的过滤测试表明：随着Y₂O₃质量分数增加，Cd²⁺的残留质量浓度、膜通量和去除率先降低后升高，当掺杂质量分数为4%时，Cd²⁺残留质量浓度最低为0.042 mg/L，膜通量达到了最大值572 L/（m²·h），去除率最大为99.95%，相比未掺质量分数杂体系的去除率提高了0.14%。随着溶液pH值的逐渐增大，金属Cd²⁺的残留质量浓度逐渐降低、去除率逐渐升高，pH≥9时最终均趋于稳定。综合来看，多孔SiC陶瓷的助烧剂Y₂O₃最佳掺量为4%。     

低温固相反应法制备钠快离子导体NaZr2(PO4)3粉体

为了进一步促进钠快离子导体磷酸锆钠(NaZr2(PO4)3)粉体的实际应用,本文提出了一种以氧氯化锆(ZrOCl2·8H2O)和二水磷酸二氢钠(NaH2PO4·2H2O)为原料的低温固相反应法制备NaZr2(PO4)3粉体.通过XRD,SEM和Raman等测试手段系统研究了磷酸盐用量对制备磷酸锆钠粉体的影响.结果 表明:采用超量的磷酸盐有利于纯相磷酸锆钠粉体的合成.同时当锆盐与磷酸盐的摩尔比为2∶5.4时,能够合成平均粒径1μm,尺寸均匀,分散性良好的磷酸锆钠粉体.研究发现研磨时发生的固相反应对磷酸锆钠粉体的制备有重要作用,一方面促进了无定型磷酸锆钠的产生,有利于磷酸锆钠晶体形成;另一方面原位生成的氯化钠为晶体的生长提供了良好的液相环境,促进了磷酸锆钠粉体的低温合成.该工作为磷酸锆钠粉体的大规模生产提供了一条简单有效的方法.