关于矩阵秩的几个重要不等式

针对学生学习矩阵秩的不等式比较困难的问题,综合运用演绎、 分析与综合、 化归的数学论证方法对秩的估计、秩的降阶及互素多项式等方面的重要不等式进行研究,并举例说明这些不等式在分块矩阵、线性方程组及判断线面位置关系等问题中的应用,这将有助于学生更好地掌握矩阵的基本理论,提高学生的抽象思维能力和逻辑思维能力.     

振动环境下液压胶管疲劳寿命分析

在硬岩掘进机(TBM)掘进过程中,液压胶管长期处于振动环境会引起胶管的疲劳破坏,因此液压胶管的选型对TBM设计及施工具有重要意义.运用经典层合板理论建立缠绕式和编织式两种液压胶管在振动载荷和油压载荷下的数学模型.仿真试验研究得到了油压及振动参数对胶管疲劳寿命的影响,结果表明:(1)在无基础振动环境下,缠绕式胶管疲劳寿命优于编织式胶管;在有基础振动条件下,编织液压胶管疲劳寿命优于缠绕液压胶管;(2)当胶管发生疲劳破坏后,胶管疲劳寿命与振幅呈近似线性关系,振动频率越靠近胶管共振频率,胶管寿命越低;可知在同等基础振动条件下,编织式液压胶管的疲劳寿命均高于缠绕式液压胶管的疲劳寿命.     

Crushing behavior of alumina inclusions with different porosity during hot compression

Alumina inclusions in commercial as-cast 2.25Cr1Mo0.25V aluminum deoxidized steel exhibited a feature of porous structure. In order to investigate the crushing characteristics of alumina inclusion during hot working, a series of alumina blocks with different porosity whose properties are similar to the alumina inclusions in ingots were prepared using spark plasma sintering. The crushing behavior of alumina blocks during hot compression with quasi-static load was studied. A prediction model of compressive strength of alumina inclusions considering apparent porosity was established on basis of hyperbolic sine Arrhenius equation. A novel crushing mode diagram for alumina inclusions characterized by Z parameter was proposed. The crushing mechanism of alumina inclusions under different deformation parameters was clarified by fracture characteristics. The results showed that the hot compression process of alumina presented a typical brittle fracture, the compressive strength was more sensitive to deformation conditions at lower apparent porosity as compared with the conditions of higher apparent porosity. With the increase of Z, the crushing mode of alumina inclusions gradually changed from intergranular fracture to transgranular fracture.     

A selective organosilica membrane for ethyl acetate dehydration by pervaporation

Organosilica bis(triethoxysilyl) ethane (BTESE) membranes were explored for pervaporation dehydration of binary and ternary mixtures of ethyl acetate (EA) by undiluted sol coating combined with flash firing. Three BTESE membranes (M1, M2, and M3) were fabricated on macroporous supports by varying BTESE concentrations (0.5, 2.5, and 5 wt% BTESE, respectively) in polymer sols. The membranes were characterized by DLS, SEM, FTIR, XRD, contact angle, AFM, and pervaporation performance to discuss the effect of the BTESE contents in the polymer sol on the formation and dehydration performance of resulting organosilica membranes. It was found that 5 wt% loading of BTESE led to a highly selective membrane for dehydration of EA/H₂O mixture. Among the synthesized membranes, M3 delivered flux of 0.84 ± 0.05 kg.m⁻².h⁻¹ with a selectivity of >10,000 for EA/H₂O mixture (98/2 wt%) at 60°C. The time course of pervaporation dehydration for the EA/H₂O mixture (95/5 wt%) confirms the stability of BTESE membrane in the investigated time period of 120 h. Further, the membrane exhibited excellent selectivity larger than 10,000 for separation of ternary mixtures (90/2/8 wt%) of ethyl acetate/ethanol/water and n-propyl acetate/isopropanol/water respectively, the composition of which is similar to the top product of the distillation column used in the industrial esterification process. The best separation performance and excellent acid stability of BTESE membranes in this study suggest that the simple synthesis protocol of undiluted sol coating and flash firing will provide a cost-effective, quick, and efficient synthesis route for practical membrane based applications.     

Pressure-induced transparency of MgO,Al2O3, AlN,and cBN ceramics at room temperature

The in situ axial X-ray diffraction patterns of four ceramic powder samples (MgO, Al₂O₃, AlN, and cBN) that were compressed in a diamond anvil cell under uniaxial non-hydrostatic conditions were recorded. The microscopic deviatoric stress as a function of the pressure was determined from the X-ray diffraction peak broadening analysis: the curves increased approximately linearly with the pressure at the initial compression stage and then levelled off under further compression. Pressure-induced transparency was observed in all of the samples under compression, and the pressure at the turning point on the curves of the microscopic deviatoric stress versus pressure corresponded to the pressure at which the samples became transparent. Analysis of the microstructural features of the pressure-induced transparent samples indicated that the compression caused the grains to fracture, and the broken grains bonded with each other. We demonstrated that the ceramics’ pressure-induced transparency was a process during which the grains were squeezed and broken, the pores were close between the grains, and the broken grains were re-bonded under compression.     

涪陵地区茅三段热液白云岩展布影响因素分析

针对热液白云岩展布非均质性强的问题,开展基底断裂与茅三段沉积演化关系研究,分析断裂样式与白云岩分布关系,建立沉积演化模式,预测白云岩的分布。研究结果表明:茅三段可划分为5个小层,1~3小层为白云岩发育主要时期,4~5小层为台地均一化时期,不发育白云岩;15-1、15-2和16号基底断裂控制了早期“台-洼”相间的沉积地貌,断裂附近的地貌高部位为生屑滩发育有利部位,为白云岩的发育提供物质基础;15-1、15-2号基底断裂样式为花状,周边生屑滩白云石化程度高,为白云岩发育最有利区;16号基底断裂为直立状,附近白云石化发育程度较低,为白云岩发育较有利区。研究成果可为热液白云岩领域的进一步勘探提供指导依据。     

基于NTP的网络时间服务器校准方法探讨

为了解决基于NTP的网络时间服务器校准问题,对其展开校准项目和校准方法的探讨,给出了NTP同步偏差、定时准确度和定时稳定度等校准项目并结合实验详细阐述了两种NTP同步偏差的校准方法,实验结果表明,采用直接测量法的NTP同步偏差为10.25μs,不确定度为62.08μs(k=2);采用比较法的NTP同步偏差为139.75μs,不确定度为6.36ms(k=2).     

英寸级少层MoS2薄膜的低温可控制备

大面积二硫化钼(MoS2)薄膜的可控制备是其走向应用的关键环节,尤其是少层及P型电导的MoS2,对于器件应用具有重要意义,但鲜有文献报道.本工作采用室温射频(RF)磁控溅射法,在玻璃衬底上制备了英寸级的少层MoS2薄膜,并经低温退火,实现了大面积较高质量的MoS2薄膜可控制备.原子力显微镜(AFM)、拉曼光谱(Raman)、X射线光电子能谱(XPS)、高分辨透射电子显微镜(HRTEM)和紫外可见吸收光谱(UV-vis)分析结果表明:所制得的大面积超薄薄膜为3层的多晶膜,厚度约2.2 nm,且均匀、平整、可控,薄膜结晶性好、稳定性高.使用同样的工艺在Si/SiO2基片上制备少层MoS2薄膜,并将其制成背栅场效应晶体管(TFT),电学表征表明该薄膜呈现P型导电特征,载流子迁移率为0.183 cm2·V-1·s-1.本工作提供了一种大面积少层MoS2薄膜的可控制备方法,而且制备温度低,工艺简单且兼容性强,易实现大规模工业化生产.     

宰前倒挂应激对鸭血凝胶特性的影响

宰前倒挂因能有效提高屠宰效率成为肉鸭宰杀前必经的一个工艺过程，但倒挂往往会加剧肉鸭的应激程度，影响其血液品质，已成为工厂生产中亟待解决的问题。因此，本实验旨在借助血液学与凝血相关指标探究宰前倒挂应激对鸭血凝胶特性的影响。在屠宰前，将40 只樱桃谷鸭随机分为2 个处理组：对照组和宰前倒挂组（宰前倒挂2.5 min），屠宰后采集血样并制备血凝块，随后分析血液指标（应激指标、血液学指标、凝血指标）以及鸭血凝胶特性。结果表明，宰前倒挂组鸭血中皮质酮激素及促肾上腺皮质激素的水平均高于对照组，说明实验所建立宰前倒挂模型成立。倒挂应激后，红细胞计数、血小板计数、血红蛋白质量浓度增加，红细胞比容、平均红细胞体积及平均血小板体积增大；凝血酶原的水平极显著上升（P＜0.01），组织因子的水平显著上升（P＜0.05）。宰前倒挂最终导致鸭血凝胶化加快，鸭血凝胶体系中水分迁移速率增大，结合水与自由水比例减少，不易流动水比例增大，质构特性和保水性变差。研究揭示了宰前倒挂应激通过影响鸭血的血液学指标和凝血系统从而改变其凝胶行为及凝胶特性，可为工厂改善应激对鸭血凝胶品质的影响提供理论依据。