共轭算子法和非线性动力系统的高阶规范形

规范形理论是研究非线性动力系统退化分含的强有力的方法.在本文里我们利用共轭算子法计算了具有幂零线性部分和不具有Z2-对称性的非线性动力系统的2阶、3阶和4阶规范形,讨论了几种余维3退化分含情况下的普适开析问题及其一些全局特性.     

On the heat conduction problem and a design principle for plasma arc furnace

In this paper a plane heat conduction problem with variable coefficients of heat conductivity K(T) is analysed with given electric power supplied to the plasma arc. The governing equation for unknown temperature distribution is a nonlinear one with a function as its nonhomogeneous term. To make the problem attractable by the method of separation of variables, a set of transformation of governing equation is introduced. An explicit simple formula is found for the efficiency of the furnace , depends linearly on r_o, the nondimensional distance between the arc and surface of melted material, as well as on another nondimensional quantity Q, we describe the above in detail in this paper. This relationship holds for r_o<0.4 and gives a good guidance for the design of furnace.Institute of Mechanics, Academia Sinica     

具有旋转连接功能的双层光互连网络设计

在设计的双层光互连网络中,上层网络是星型连接,依靠数字路由结点进行通信.单通道最大传输速率为1.4 Gbps,数字路由结点吞吐率大于10 Gbps,底层为网络接口卡和结点机连成的环形网,峰值传输速率为1.056 Gbps.在底层网络中个别结点机与传感器之间配置有光纤旋转连接器,可传输动态数据.经计算,环网内最大通信延迟时间小于5.292 μs,互连网络的平均通信延迟时间为11.03 μs,环形网络的最大数据传输带宽为50 Mbit/s.     

二粒子部分纠缠未知态的量子受控传递

提出了二粒子部分纠缠态的量子隐形传递控制方案.在该方案中,以四个二能级粒子GHZ态作为量子通道,把量子通道中的一个粒子作为控制粒子.在传递者和控制者进行一系列的量子操作和测量之后,根据他们的测量结果,接收者再进行适当的变换就能得到待传递粒子的量子态.     

Implementation of a finite‐volume method for the determination of effective parameters in fissured porous media

Many studies have proposed one‐equation models to represent transport processes in heterogeneous porous media. This approach is based on the assumption that dependent variables such as pressure, temperature, or concentration can be expressed in terms of a single large‐scale averaged quantity in regions having very different chemical and/or mechanical properties. However, one can also develop large‐scale averaged equations that apply to the distinct regions that make up a heterogeneous porous medium. This approach leads to region‐averaged equations that contain traditional convective and dispersive terms, in addition to exchange terms that account for the transfer between the different media. In our approach, the fissures represent one region, and the porous media blocks represent the second region. The analysis leads to upscaled equations having a domain of validity that is clearly identified in terms of time and length‐scale constraints. Closure problems are developed that lead to the prediction of the effective coefficients that appear in the region averaged equations, and the main purpose of this article is to provide solutions to those closure problems. The method of solution makes use of an unstructured grid and a joint element method in order to take care of the special characteristics of the fissured network. This new numerical method uses the theory developed by Quintard and Whitaker and is applied on considerably more complex geometries than previously published results. It has been tested for several special cases such as stratified systems and “sugarbox” media, and we have compared our calculations with other computational methods. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 237–263, 2000     

Multitarget Detection Using a Fringe adjusted and Power Spectrum Subtracted Hybrid Optical Joint Transform Correlator

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On the Existence of XOR-Based Codes for Private Information Retrieval with Private Side Information

We consider the problem of Private Information Retrieval with Private Side Information (PIR-PSI), wherein the privacy of the demand and the side information are jointly preserved. Although the capacity of the PIR-PSI setting is known, we observe that the underlying capacity-achieving code construction uses Maximum Distance Separable (MDS) codes therefore contributing to high computational complexity when retrieving the demand. Pointing at this drawback of MDS-based PIR-PSI codes, we propose XOR-based PIR-PSI codes for a simple yet non-trivial setting of two non-colluding databases and two side information files at the user. Although our codes offer substantial reduction in complexity when compared to MDS-based codes, the code-rate marginally falls short of the capacity of the PIR-PSI setting. Nevertheless, we show that our code-rate is strictly higher than that of XOR-based codes for PIR with no side information. As a result, our codes can be useful when privately downloading a file especially after having downloaded a few other messages privately from the same database at an earlier time-instant.     

基于滑动元法的连续拉索滑移分析

实际工程中,拉索在索撑节点处滑移十分普遍。考虑滑移的影响,索撑节点不能简单地用铰接模拟。现有的拉索滑移分析方法往往需要迭代,计算过程复杂且收敛性无法保证。本文提出一种拉索滑移分析新方法——滑动元法,以预应力鱼腹梁为例进行理论推导,介绍了滑动元法的基本原理和计算步骤。结合有限元软件,利用滑动元法对算例进行计算分析,结果表明,滑动元法计算快速无需迭代,可以较为准确地分析拉索滑移。     

超导磁体螺栓结合面低温振动特性研究

振动特性对于超导磁体的各类工程应用具有重要意义, 螺栓法兰盘连接是超导磁体系统的一种常见的支撑结构类型, 然而螺栓结合面在低温条件下振动特性的相关研究目前尚少见报道. 本研究中设计加工了简化的连接结构, 在室温和液氮温度对其螺栓结合面进行振动特性的测试分析. 接下来, 采用集中质量法进行建模, 并利用振型、 频率与质量矩阵、 刚度矩阵的关系求解了不同螺栓预紧力情况下的刚度矩阵, 得到了系统总刚度和结合面刚度. 使用上述方法对振动测量数据计算发现, 该结构的系统总刚度与结合面刚度都随着预紧力增大而增大, 同时液氮低温条件可使系统总刚度和结合面刚度进一步增大.     

第二代高温超导带材焊接及力学性能研究

第二代高温超导已进入产业化初期, 尽管单根带材长度已达千米量级, 但由于千米级单根带材生产成品率偏低以及大型超导装置对带材长度实际需求远超出单根长度制备能力, 因此, 焊接技术成为高温超导大规模应用的关键技术之一. 接头电阻及其力学性能是评估焊接接头的重要技术指标. 本文提出了改进型接头和“隐形”接头两种制作方法, 并对其接头电阻以及力学性能进行了表征, 同时与常规搭接接头进行了对比分析. 结果发现,(1) 与常规搭接头相比, 改进型和“隐形”接头的厚度分别降低了15 % 和36 % , 有效减小了焊接头处和原带材厚度差异. (2) 超导面-超导面焊接, 获得接头电阻最小; 接头电阻随接头长度的增加而减小, 但幅度降低. (3) 常规搭接头、 改进型和“隐形”焊接头均具有良好的轴向抗拉性能, 通过扭转和8 天液氮浸泡后, 临界电流无衰退, 电阻保持一致. (4) 改进型和“隐形”接头的临界弯曲直径(20 mm) 与原带材(非接头处) 相当, 通过卷对卷传输法测试时接头无损伤, 而常规搭接头的临界弯曲直径(40 mm) 大于原带材, 在通过卷对卷测试时, 接头出现开裂甚至断开现象.根据具体应用场景, 选择合适接头制作方式, 对推动第二代高温超导产业化具有重要意义.