复合映射的微分

本文建立了Ｂａｎａｃｈ空间中的“中微分”概念，讨论了强、中、弱三种微分间的关系及性质，并得到了两种形式复合映射的链式法则．     

浅谈“导数、微分”教学的几点体会

本文对导数、微分概念和复合函数的导数的教学方法进行了探讨,说明了导数、微分是现代化生产中不可缺少的数学工具。     

微分超声心动图的取得与B超光流场

应用微机技术和数字电子技术获得心血管动态新信息一微分超声心动图，并将其联系到超声截面图像光流场的研究中。介绍了应用轮廓聚类中心匹配技术得到心脏Ｂ超轮廓光流场的实验结果。     

利普希茨空间到有界解析函数空间的加权微分复合算子

加权微分复合算子理论是算子领域的重要组成部分.不同空间的加权微分复合算子的有界性和紧致性被深入地研究并出现了许多成果.在此基础上给出了单位圆盘上从利普希茨空间到有界解析函数空间的加权微分复合算子有界和紧致的性质,并证明了算子有界和紧致的充要条件.     

一类奇异拟微分算子代数

本文是“奇异拟微分算子的两个定理”(云南大学学报,6(1984),4:19)一文的扩充和继续,考虑了L_1~m类奇异拟微分算子,利用部份拟微分算子技巧,借助Poisson算子和其逆,通过微局部分析,解决了L_1~m类算子的复合问题,证明了L_1~m类构成代数。     

Qk(p,q)空间到加权α-B10ch空间的复合微分后置和复合微分前置算子

研究了Qk(p,q)空间到加权α-Bloch空间(小加权α-Bloch空间)的复合微分后置和复合微分前置算子的有界性和紧性;并得到了这些算子有界性和紧性的一些充分必要条件.     

Qk(p,q)空间到加权α-B10ch空间的复合微分后置和复合微分前置算子

研究了Qk(p,q)空间到加权α-Bloch空间(小加权α-Bloch空间)的复合微分后置和复合微分前置算子的有界性和紧性;并得到了这些算子有界性和紧性的一些充分必要条件.     

含参DC复合优化问题值函数的Mordukhovich次微分

利用函数的次微分性质,并引入弱性约束规范条件,对含参DC复合优化问题最优值函数的Mordukhovich次微分进行了估计,并将相关结论应用于DC复合锥规划问题之中.     

冰点下降公式推导的图像解析

围绕冰点下降公式的简法推导问题上发生的困扰,从微分几何学的角度展开图像解析,可以寻找症结所在:问题在于偏微分和复合求导概念上的模糊,导致在理解全微分推导公式方面的思维僵化.     

复合跟踪微分器在电容式位移传感器中的应用

针对从含噪原始信号中提取位置以及速度信息,经典跟踪微分器存在不能很好兼顾相位滞后和噪声放大问题、参数多,调试复杂等不足.在跟踪微分器等效线性分析基础上,提出复合形式跟踪微分器,用于电容式位移传感器位置信号跟踪以及速度信号估计,通过MATLAB\SIMULINK仿真以及实验平台测试,结果表明:在跟踪频率1 Hz、幅值1含噪声正弦信号中,复合跟踪微分器能光滑逼近原始位置信号,且能有效进行速度估计,相较于经典跟踪微分器,复合跟踪微分器跟踪相位滞后小0.03 rad,能更好兼顾跟踪信号相位滞后及速度信号噪声放大.     

节理接触机理与闭合性质研究

介绍了节理闭合试验技术和节理初始开度的测试方法，探讨了节理闭合时非线性和不可恢复变形的机理，研究了节理在不同接触状态下组合形貌的特征和闭合变形性质，得到了能反映节理接触状态和受载历史的包含有节理无量纲初始开度等节理组合形貌参数的法向力－法向变形本构方程。     

复合支柱绝缘子在高海拔区直流污闪与污雨闪性能

为了系统研究复合支柱绝缘子在高海拔条件下的直流污闪和污雨闪性能,在海拔1.97 km的地区,对5种不同伞形参数的复合支柱绝缘子进行了人工污秽直流污闪和淋雨试验。试验结果表明:同等污秽条件下,污雨闪电压明显高于污闪电压。在一定范围内,伞形参数对电压的影响呈现出规律性:伞伸出增大,两种电压均增大;伞间距增大,污闪电压随之增大而污雨闪电压则先升后降;芯棒直径的增加会造成两种电压的降低。因此,高海拔地区直流变电站外绝缘设计可仅依据污闪特性进行配置,同时,合理地优化伞裙参数可提高污闪性能25%以上。     

气—固两相流离心风机叶型的设计方法

本文着重讨论了离心式气-固两相流风机中叶型的设计方法问题。采用控制载荷法及单相耦合和塑-脆性损失模型,分别对4种载荷的叶型进行了叶片磨损计算和分析。以磨蚀的均匀性、总的体积磨损量和气动性能作为质量评价标准,认为最小扩压度加载叶型比较好:但如果吸取其它载荷之长,组合成适当的综合加载叶型,可以在满足气动性能要求的前提下,使叶片的防磨性为之改善,从而从另一个方面证明控制载荷设计法的优越性。     

磁性温敏复合微球的制备及磁场作用下的药物缓释行为

采用无皂乳液聚合的方法将Fe3O4与温敏性N-异丙基丙烯酰胺-丙烯酰胺共聚物[P(NIPAAm-co-Am)]复合,制备了具有核壳结构的磁性温敏复合微球,并研究了其在60kHz,6.5kA·m-1交变磁场作用下的磁热性能和药物缓释行为.结果表明,所制备的Fe3O4/P(NIPAAm-co-Am)复合微球具有良好的磁热性能,20min内即可使自身温度升高到温敏聚合物的最低临界溶解温度(LCST),约为42°C.复合微球在连续和间歇磁场作用下的药物释放行为显示,间歇性施加磁场能够延长药物的释放周期,而且能够有效增大药物的积累释放量.因具有良好的磁热和药物缓释性能,所制备的聚合物微球有望同步实现肿瘤热疗和化疗药物的可控释放.     

Dynamic constitutive equation of GFRP obtained by Lagrange experiment

The note presents a method of constructing dynamic constitutive equations of material by means of Lagrange experiment and analysis. Tests were carried out by a light gas gun and the stress history profiles were recorded on multiple Lagrange positions. The dynamic constitutive equations were deduced from the regression of a series of data which was obtained by Lagrange analysis based upon recorded multiple stress histories. Here constitutive equations of glass fibre reinforced phenolic resin composite(GFRP) in uniaxil strain state under dynamic loading are given. The proposed equations of the material agree well with experimental results.     

复合管离心铸造工艺中的渗流传热过程

通过分析离心力场作用下铝熔液在Al2O3短纤维多孔介质内的渗流传热现象，考虑离心惯性力对渗流传热过程的影响，建立了多孔介质渗流传热模型，研究分析了复合管铸造工艺中离心渗透过程的流场和温度场瞬态变化规律，计算结果表明，在渗透区域，随时间的延长，渗透前沿不断推进，复合层温度逐渐上升，在未渗透的多孔预型区，固相颗粒温度基本不变，转速和孔隙率对渗流速度场的影响较大，对温度场的影响相对较小，进口处渗透速度很高，会形成急速的紊流状态，使复合材料内部形成气孔，研究结果对于离心铸造的工业设计及开发复合材料具有一定的指导作用。     

FRP-铝合金平面桁架结构极限承载性能试验研究

为了提升脆性FRP拉挤型材应用于桁架体系时的结构延性承载性能,提出了将金属材料构件和不同组合节点应用于FRP桁架体系的组合设计理念。设计和制备了一榀FRP-铝合金平面桁架模型,通过开展结构四点弯曲极限破坏试验,揭示了结构的全过程非线性位移响应、破坏模式及机理,进而对所提设计理念及结构延性提升措施的可行性进行了验证。试验结果表明：组合平面桁架结构在最终失去承载力之前呈现出组合节点滑移、铝合金上弦杆压屈变形、端部GFRP斜腹杆压溃破坏等多种渐进破坏模式,结构全过程荷载-位移曲线表现出明显的非线性变化趋势,特别是铝合金上弦杆的压屈效应使整体结构具备了明显的延性变形特征。建议可通过对FRP桁架在结构和构件层面进行组合设计,使其获得良好的延性承载性能和破坏预警信息,以提升结构的安全性和鲁棒性。     

Coastal plain evolution in southern Hainan Island, China

The coast of southern Hainan Island is characterized by wide sandy embayments, which consist of ( i) drowned valleys bounded by steep bedrock hills and only locally receiving sediments, and embayments of various dimensions covered either by (ii) alluvial-deltaic deposits or by (iii) sands of coastal beach ridges/barriers and associated elongated lagoons. During the late Tertiary-Pleistocene the area has experienced isostatic and eustatic movements associated with neotectonics and climatic changes. Such history isrecorded in terraces at various altitudes (SO, 40, 20 m asl) and sequences of coastal sand ridges/baymouth bars. The Holocene variations in sea level and climate are recorded in the dated coastal ridges, coral reef and beachrock. Conditions suitable for reef development started about 8000 a BP. The GPR profiles also show that the internal structures of the sand ridges have composite nature being formed by several superimposed secondary ridges.     

Mathematical simulation of direct reduction process in zinc-bearing pellets

A one-dimensional unsteady mathematical model was established to describe direct reduction in a composite pellet made of metallurgical dust. The model considered heat transfer, mass transfer, and chemical reactions including iron oxide reductions, zinc oxide reduction and carbon gasification, and it was numerically solved by the tridiagonal matrix algorithm (TDMA). In order to verify the model, an experiment was performed, in which the profiles of temperature and zinc removal rate were measured during the reduction process. Results calculated by the mathematical model were in fairly good agreement with experimental data. Finally, the effects of furnace temperature, pellet size, and carbon content were investigated by model calculations. It is found that the pellet temperature curve can be divided into four parts according to heating rate. Also, the zinc removal rate increases with the increase of furnace temperature and the decrease of pellet size, and carbon content in the pellet has little influence on the zinc removal rate.     

Localized 3D-structural features of dynamic-chemical processes of urban air pollution in Beijing winter

The Beijing City Air Pollution Observation Field Experiment (BECAPEX) is described with emphases on the “point-surface” research approach and composite analysis. The analysis results of measurements from four observation sites across the Beijing urban area from January to March indicate that the overall impact of urban emission sources in the heating season is significant, and the staggered impact of urban emission sources has different features at observation sites over different parts of Beijing in both heating and non-heating seasons. The pollutants NOx, SO2 and CO in the urban boundary layer have the in-phase variation features over a large area. 03 concentrations at different sites have the same variation trend but its change is reversed phases with above pollutants. The pollutants over the urban area in heating and non-heating seasons also have the synchronous variation trend. The comprehensive sounding of BECAPEX indicates that pollutants and aerosol verticalprofiles are closely correlated to the vertical structure of the large-scale inversion layer in the urban boundary layer over the urban area. The localized 3D-structural features of local urban polluting processes associated with the peripheral areas are discussed with a “point-surface” comprehensive sounding technique.