Invariant set and attractor of nonautonomous functional differential systems

The paper is devoted to the invariant set and periodic attractor for nonautonomous functional differential systems. Some sufficient criteria of the invariant set and periodic attractor are derived. Particularly, we have provided an estimate on existence range of periodic attractor by using the properties of nonnegative matrices and differential inequality technique.     

非饱和固化淤泥的力学及体变特性试验研究

由于降雨、水位升降等自然因素,固化淤泥作为填土材料使用时,其饱和度(基质吸力)常处于变动状态,使固化淤泥力学及体变特性发生改变,对土工构筑物的安全带来潜在隐患。鉴于此,本文通过对不同基质吸力、净围压下的三轴固结排水剪切试验,探讨了基质吸力和净围压对非饱和固化淤泥力学及体变特性的影响。结果表明:随着净围压增大,基质吸力的强度贡献减小,100kPa净围压时基质吸力的强度贡献十分显著,300kPa净围压时基质吸力强度贡献则不明显。当基质吸力小于残余值时,固化淤泥试样的抗剪强度、无侧限抗压强度、粘聚力均随基质吸力增大呈线性增长,但当基质吸力大于残余值时强度增幅均下降,说明基质吸力大于残余值时强度贡献减小。剪切过程中试样均表现为体缩且随基质吸力增大体缩变形减小。吸力摩擦角在土-水特征曲线边界效应区和过渡区之间时几乎不变,进入残余区后开始下降。     

A COLLOCATION METHOD FOR THE CONDUCTIVITY PROBLEM WITH DISCONTINUOUS COEFFICIENT

In this paper, a new collocation BEM for the Robin boundary value problem of the conductivity equation ▽(γ▽u) = 0 is discussed, where the 7 is a piecewise constant function. By the integral representation formula of the solution of the conductivity equation on the boundary and interface, the boundary integral equations are obtained. We discuss the properties of these integral equations and propose a collocation method for solving these boundary integral equations. Both the theoretical analysis and the error analysis are presented and a numerical example is given.     

非自治的三维时滞lotka—Volterra合作系统周期解存在性与全局稳定性

本文讨论三种群非自治时滞的合作系统，给出周期解存在与全局稳定的充分条件。     

Lattice gas simulation and experiment study of evacuation dynamics

In this paper, evacuation dynamics in an office building is studied by experiment and simulation. A lattice gas (LG) model is developed. A parameter called ‘exit bias’ is introduced into the model to describe the occupants’ familiarity with different exits in a building. The evacuation experiment, which consists of seven scenarios under various conditions, is conducted to verify the model and calibrate the model’s input parameters such as pedestrian speed and exit bias. The effect of exit width on flow rate, and the effect of occupants’ familiarity with the building on their route selections, are studied. It is found that the accuracy of simulation depends a lot on the model’s pedestrian speed. The optimal pedestrian speed is decided by not only occupant characteristics, but also flow features determined by people distribution, building structure, environment pressure, etc. LG models with proper pedestrian speed are capable of simulating the dynamic process of orderly emergency evacuations.     

Fabrication of high performance Matrimid/polysulfone dual-layer hollow fiber membranes for O2/N2 separation

Matrimid/polysulfone (PSf) dual-layer hollow fiber membranes were fabricated by using co-extrusion and dry-jet wet-spinning phase-inversion techniques. The effects of the spinning dope composition, spinneret dimension, spinneret temperature and the air gap distance on the hollow fiber membranes separation performance were studied. Aging phenomenon was also studied. After coated by 3 wt% silicon solution, the hollow fiber membranes have an O₂/N₂ selectivity of 7.55 at 25 °C, 506.625 kPa which exceeds the intrinsic value of Matrimid. The membranes have an O₂ permeance of 9.36 GPU with an apparent dense-layer thickness of 1421 Å calculated from the O₂ permeability. SEM images show the high porosity underneath the dense skin. It indicates that non-solvent addition is not necessary in the inner spinning dope to induce the macroviod formation. The binodals of the Matrimid/solvent/H₂O and PSf/solvent/H₂O indicate that the composition of the spinning dope plays an important role in the structure and the gas separation performance of the dual-layer hollow fiber membranes. The delayed demixing of the inner spinning dope may fabricate low resistance support layers in the dual-layer hollow fiber membranes.     

具有时滞食物链系统周期解的存在性和全局渐近稳定性

本文考虑时滞三种群食物链系统,给出周期解存在和全局渐近的充分条件。     

小分子阿特拉津和罂粟碱检测的免疫芯片技术研究

采用蛋白芯片竞争法对小分子半抗原的污染物进行检测。在获得特异性抗体的前提下,首先将阿特拉津半抗原进行了衍生化,然后将该衍生物和氨基罂粟碱分别与载体蛋白质卵清蛋白(OVA)进行偶联。实验证明新合成的完全抗原能够与其相应抗体发生特异性的结合。实验还对蛋白芯片检测阿特拉津进行了条件优化,其抗体固定化时间为2h,用卵清蛋白为封闭液的封闭时间为1h,样品稀释液pH值为8．0。并对阿特拉津及罂粟碱进行了定性、定量实验,结果表明：荧光信号强度随待测物浓度的降低而增强,有一定的线性趋势,阿特拉津检出限为0．001mg/L,罂粟碱检出限为0．01mg/L。     

基于MEMS技术的多媒体空中鼠标

本文采用MEMS加速度传感技术,触控技术以及无线射频的多功能鼠标的电路设计方案,首先系统通过三轴陀螺仪和三轴加速度计的数据进行实时采集,将采集到的数据传送给STM32微控制器,用于计算鼠标的位移、角度、角速度等参数,并利用无线模块将数据发送到接收端,再通过USB协议发送到电脑端。针对现有空中无线鼠标通信距离、电池供电等问题的限制,本文采用通信距离更长的2.4GHZ无线电波,可循环充电利用的锂电池替代传统电池供电,并且利用USB设备通信,在接收端将大容量存储设备与鼠标设备整合复用,可实现二者之间的任意切换,提高了该鼠标系统适应实际应用环境的能力。