The globally Bi-3-connected property of the honeycomb rectangular torus

The honeycomb rectangular torus is an attractive alternative to existing networks such as mesh-connected networks in parallel and distributed applications because of its low network cost and well-structured connectivity. Assume that m and n are positive even integers with n ? 4. It is known that every honeycomb rectangular torus HReT(m,n) is a 3-regular bipartite graph. We prove that in any HReT(m,n), there exist three internally-disjoint spanning paths joining x and y whenever x and y belong to different partite sets. Moreover, for any pair of vertices x and y in the same partite set, there exists a vertex z in the partite set not containing x and y, such that there exist three internally-disjoint spanning paths of G-{z} joining x and y. Furthermore, for any three vertices x, y, and z of the same partite set there exist three internally-disjoint spanning paths of G-{z} joining x and y if and only if n ? 6 or m = 2.     

Étude expérimentale du mélange réactif au sein d'un réacteur torique ondulé (RTO)

Reactive mixing in a wavy torus reactor (WTR) has been examined experimentally. Its performances are compared to these of two other reactors: a plane torus reactor (PTR) and a baffled stirred tank reactor (BSTR). hydrodynamics of mixing has been studied using a plug flow model with axial dispersion for the WTR and PTR. The effect of axial dispersion on the kinetic of a chemical reaction was then analysed for the WTR, PTR and BSTR. Mixing times were slightly longer for the WTR due to a weaker axial dispersion. We also noticed an improvement of the convertion rate for low dissipated power.     

基于椭圆循环圆的轿车扁平液力变矩器设计

为设计叶形更为合理、性能更优的轿车扁平化液力变矩器,提出了基于椭圆的扁平循环圆设计方法。提出了全新的扁平率定义,使扁平率的变化能够反应循环圆整体形状的变化。在分析环量分配规律对变矩器性能影响的基础上,改进了传统的等环量分配叶片法,针对不同叶轮采用不同的二次函数环量分配规律进行叶片设计,得到了叶形更为合理的扁平变矩器叶片。将本文方法与传统方法进行了对比分析,结果表明,用本文方法设计的扁平变矩器性能更佳。     

限制李超代数环面秩的一个重要性质

限制李代数基本理论在李代数研究中具有重要地位.本文根据限制李代数理论,给出了限制李超代数的环面及环面秩的定义,并利用限制包络证明了关于限制李超代数环面秩的一个重要性质.     

Embedding a fault-free hamiltonian cycle in a class of faulty generalized honeycomb tori

Generalized honeycomb torus (GHT) is recognized as an attractive alternative to existing torus interconnection networks in parallel computing systems. Assume that m and d are integers with m ? 2 and d ? 8. This paper addresses the fault-tolerant hamiltonicity of GHT(m, 2d, d) with fault set F = {(w, y), (x, y)}, where w < x, w + y is even and x + y is odd. We show that such a faulty GHT is hamiltonian by presenting a systematic method for constructing a fault-free hamiltonian cycle. This result reveals another appealing feature of GHTs.     

Fourier methods for quasi‐periodic oscillations

Quasi‐periodic oscillations and invariant tori play an important role in the study of forced or coupled oscillators. This paper presents two new numerical methods for the investigation of quasi‐periodic oscillations. Both algorithms can be regarded as generalizations of the averaging and the harmonic (spectral) balance methods. The algorithms are easy to implement and require only minimal a priori knowledge of the system. Most importantly, the methods do not depend on an a priori co‐ordinate transformation. The methods are applied to a number of illustrative examples from non‐linear electrical engineering and the results show that the methods are efficient and reliable. In addition, these examples show that the presented algorithms can also continue through regions of sub‐harmonic (phase‐locked) resonance even though they are designed only for the quasi‐periodic case. Copyright © 2006 John Wiley & Sons, Ltd.     

双循环圆液力缓速器叶形设计方法

为提高双循环液力缓速器制动功率密度,对其叶形设计方法开展研究.针对双循环液力缓速器弯叶片叶形结构特点,提出相切圆弧叶形设计法,以叶形包角与工作面圆弧半径为设计变量,建立叶形设计参数化模型.利用试验设计方法对不同叶形参数的双循环液力缓速器弯叶片进行实例设计,并与样机制动性能进行对比.结果表明:样机仿真与试验的制动力矩平均相对误差在5%以内,数值计算方法准确可靠;基于相切圆弧叶形设计法建立的弯叶片制动力矩变化范围较大,通过设定合适的叶形参数,缓速器制动性能可得到有效提高.     

基于坐标变换的圆环面/球面相交分析

利用坐标变换使圆环中心轴与球心同在XOZ平面内,讨论了在该平面内圆环截圆与球圆的位置不相交、相切和相交时圆环面和球面的相交情况,并给出了判别圆环面、球面相交情况的流程图以及圆环面和球面相交实例。     

两类特殊管状曲面的研究

参数曲线曲面的参数化直接决定了其代数性质,如正则性,而在计算机辅助几何设计中,自交现象却是一类不能直接应用的非正则性问题.管状曲面作为一类重要的几何造型,主要研究管道曲面和正交环面.在正则管状曲面的研究基础上,迫切着手对两类特殊的非正则管状曲面的自交问题展开研究,主要通过代数方法分析各自在数学上的几何特性,从而在理论上明确自交区域的去除部分,为将来准确去除自交提供支撑.     

基于FPGA的光互连网络技术研究与性能分析

研究了基于Xilinx Virtex-5 FPGA的光互连网络技术,通过FPGA板内的高速串行收发器连接SFP光收发模块,实现高速串行数据收发,每通道的传输速率达到3.125Gb/s,提出并实现了基于FPGA的四节点单向环形光互连网络.在ISE设计环境下,设计了基于两块FPGA板的FFT运算应用和基于四块FPGA板的具有随机消息分布特性的网络应用,完成了光互连网络的性能测试分析.