Polytopal complexes: maps,chain complexes and… necklaces

The notion of polytopal map between two polytopal complexes is defined. This definition is quite simple and extends naturally those of simplicial and cubical maps. It is then possible to define an induced chain map between the associated chain complexes. One uses this new tool to give the first combinatorial proof of the splitting necklace theorem of Alon.     

Optimal design of PZT actuators in active structural acoustic control of a cylindrical shell with a floor partition

Genetic algorithms (GAs) are employed to optimize locations of PZT actuators in an active structural acoustic control (ASAC) system comprising a cylindrical shell with an internal floor partition. The effect of PZT actuators is simulated using a bending model and an in-plane force model, respectively. The characteristics of the optimal placements of both models are discussed and compared. Numerical simulations demonstrate that for the investigated structure, the in-plane force model has a better control performance than the bending model in the low-frequency range. The underlying physics of the control results are analyzed. Considering the practical applicability of optimally designed ASAC systems, the control performance of the optimal configuration obtained at a single frequency is assessed in the low-frequency range between 100 and 500 Hz, with results showing a significant sound attenuation in the whole range of interest.     

基于微流控技术的磁免疫荧光法在EB病毒检测中的应用

EB病毒(Epstein-Barr virus,EBV)的早期诊断能够降低患者发生重大疾病的风险.临床上常用的EBV抗体的检测方法存在耗时长、试剂消耗大和效率低等缺点.相比于传统的检测方法,微流控(microfluidics)技术具有高通量、试剂消耗少,污染少和自动化程度高等优点,磁免疫荧光技术具有检测效率高、信号强等...     

锆掺杂以提升LiNi0.5Co0.2Mn0.3O2正极材料的高温电化学性能

为解决LiNi_0.5Co_0.2Mn_0.3O₂正极材料在高温下循环性能差的问题,本文通过固相法对材料进行锆掺杂改性,研究了不同掺杂量对LiNi_0.5Co_0.2Mn_0.3O₂晶体结构和电化学性能的影响。研究表明,当锆掺杂量为1% (x)时,可以降低LiNi_0.5Co_0.2Mn_0.3O₂结构中的Li⁺/Ni²⁺离子混排,有助于材料电化学性能的提高,尤其是高温循环性能。在25 ℃、3.0-4.3 V下, Li(Ni_0.5Co_0.2Mn_0.3)_0.99Zr_0.01O₂在1C循环95次后容量保持率为92.13%,优于未掺杂样品(87.61%)。在55 ℃下, Li(Ni_0.5Co_0.2Mn_0.3)_0.99Zr_0.01O₂在1C循环115次后容量保持率仍有82.96%,远高于未掺杂样品(67.63%)。因此,少量锆掺杂对提升LiNi_0.5Co_0.2Mn_0.3O₂的高温循环性能有积极作用。     

混凝土圆形骨料周边应力集中系数的解析法1）

由于骨料与砂浆材料力学特性的不同,混凝土内部存在应力集中现象.又由于混凝土内部骨料众多且分布复杂,采用细观力学方法分析混凝土各处应力会遇到计算量大、划分单元困难的难题.因此,针对二维模型推导出了计算混凝土圆形单骨料周边应力集中系数的解析解.根据此解析解,应用叠加方法可通过均匀介质模型近似计算非均匀的混凝土各处应力,使计算模型非常简单.通过对单骨料和四骨料模型进行计算,并与有限元计算结果比较证明本文所给解析方法能够满足精度要求.     

Quasi-momentum theorem in Riemann-Cartan space

The geometric formulation of motion of the first-order linear homogenous scleronomous nonholonomic system subjected to active forces is studied with the nonholonomic mapping theory. The quasi-Newton law, the quasi-momentum theorem, and the second kind Lagrange equation of dynamical systems are obtained in the Riemann-Cartan configuration spaces. By the nonholonomic mapping, a Euclidean configuration space or a Riemann configuration space of a dynamical system can be mapped into a Riemann-Cartan configuration space with torsion. The differential equations of motion of the dynamical system can be obtained in its Riemann-Cartan configuration space by the quasi-Newton law or the quasi-momentum theorem. For a constrained system, the differential equations of motion in its Riemann-Cartan configuration space may be simpler than the equations in its Euclidean configuration space or its Riemann configuration space. Therefore, the nonholonomic mapping theory can solve some constrained problems, which are difficult to be solved by the traditional analytical mechanics method. Three examples are given to illustrate the effectiveness of the method.     

嵌入式结构下集成优化自动控制系统设计

随着互联网技术的发展,数字图像处理与优化已普遍应用于各个领域。近年来集成控制技术快速发展,图像处理系统已向集成控制方向发展。通过对现有的图像优化控制系统分析发现,系统普遍存在嵌入式结构下多模组协调逻辑性欠缺、自动处理识别反馈单元缺失、系统整体控制单元统一性欠佳,导致传统控制系统无法在嵌入式结构下快速、高效、平稳的运行。针对这些问题,提出嵌入式结构下集成优化自动控制系统设计方法。采用IFCO嵌入式逻辑数据库、多元数据主控平台、HRG数据平流稳定模组针对性的解决传统控制系统存在的一系列问题。通过仿真模拟实验测试证明,提出的系统设计方法具有处理速度快、数据信号执行准确率高、运行稳定性好的特点。     

体外电化学测试对镁合金体内降解行为的预测

可生物降解镁合金因同时具有优良的生物相容性和力学性能,在生物医学界显示出其作为新型骨科内植入物的巨大潜在优势和市场前景。目前,作为制约镁合金医用产业化的关键因素,即过快的降解速率已经成为研究重点。本文回顾了体外电化学测试技术对镁合金抗腐蚀性能的研究,并分析了模拟腐蚀体系对镁合金腐蚀行为的影响;同时评估了电化学测试方法作为快速有效预测镁合金体内降解性能前期分析手段的可行性与局限性。最后,对如何发展更合理的体外电化学测试技术来预测镁合金体内降解提出了可能的解决方法及构思。     

Solvent effect on the formation of self-assembled monolayer on DLC surface between n-hexane and Vertrel XF

Self-assembled monolayers of 1H,1H,2H,2H-perfluorodecyltrichloro-silane (FDTS) have been deposited on the diamond-like carbon (DLC) film-coated magnetic heads with two different solvents, n-hexane and Vertrel XF. In order to investigate the solvent effect on the monolayer formation, a series of FDTS monolayers were prepared by varying the solution concentrations which were respectively characterized by time-of-flight mass spectroscopy, contact angle measurements and atomic force microscopy. Results showed that high density of aggregations were present for the FDTS monolayers using the n-hexane solvent, while the monolayer formed on the DLC surface using the Vertrel XF solvent exhibited excellent quality and reproducibility and no aggregations were observed.