Torsors and Stacks

It is shown that the groupoid of G-torsors, suitably defined, can be used to construct a model for the stack associated to G, for arbitrary sheaves of groupoids G. This research was supported by the Natural Sciences and Engineering Research Council of Canada.     

包机中内槽轮机构的运动和力分析

对包装机械中常用的内啮合槽轮机构的运动和力分析进行了探讨。通过内啮合槽轮机构的动停比和运动特征分析,可确定出最大角速度,此最大角速度与外槽轮机构相比较动力性能比后者好;通过圆销对内槽轮的最大压力值和内槽轮平均功率的分析,为校核零件强度,选取电机功率提供了一定的理论依据。     

辐条式绳轮强度的研究

本文在详细分析了已有绳轮计算方法的基础上,建立了辐条式绳轮的力学模型,编制了有限元计算绳轮的专用程序,电算得到轮缘和轮辐的应力及变形规律。通过量纲分析和电子计算机正交试验,确定出影响绳轮强度的主要参数为:钢绳包角α、摩擦系数μ、轮辐数n、轮辐与轮缘的截面惯性矩比J_f/J_y,考虑到经济性和结构的力学特性,作者建议在绳轮设计中取n=10,J_f/J_y=0.2。     

Two‐Dimensional Oligo(phenylene‐ethynylene‐butadiynylene)s: All‐Covalent Nanoscale Spoked Wheels

Round and round : Covalently bound spokes induce an efficient template‐directed cyclization towards a rigid molecular wheel (see figure) and afford dramatically increased shape‐persistence properties compared with non‐strutted macrocycles.

     

曳引绳绕行运动动态模型

采用集中质量的方法,建立了一种新型的曳引绳绕行运动的动态模型,并通过Lagrange乘子的引入将曳引轮的运动作为约束条件施加在绳子上.提出了一种约束条件变换的判断方法,该方法能够动态地预测下一时刻的约束情况,并及时对约束方程进行相应的调整.仿真结果表明,该模型能够用于模拟和研究绳子在曳引轮上的局部动态行为.     

重复频率爆炸发射阴极现状及展望

重复频率爆炸发射阴极(EEC)是产生高功率重复频率强流电子束的关键。阐述了爆炸发射的尖端场增强和闪络引发机制,分析了影响EEC重复频率运行的因素,综述了EEC研究现状并总结了几种EEC特性,指出实现重复频率发射阴极的方法在于探索新型材料和改进结构。提出采用六硼化镧(LaB6)作为EEC材料和适用于单焦斑多幅闪光照相工业冷阴极二极管(IXD)的新型阴极结构轮辐状金属-铁电陶瓷复合阴极,并对其前景进行展望。     

均力带轮的结构及理论分析

提出了一种用于V带传动的均力带轮结构,通过理论分析得出下述结论：该带轮能实现各带初拉力均匀并始络保持均匀状态,使用这种带轮能延长V带寿命并增加传递的功率。     

圆偏心轮夹紧机构的力分析

摒除了教科书中圆偏心轮夹紧机构力分析的强行假设，从全部外力总平衡出发，利用图解中的几何关系，推导出夹紧力的解析结果。经过整理，其形式与教科书中的表达式相似，同样具有使用方便之价值。在此基础上，还进一步阐明了最小夹紧力的计算方法。     

Representations of MV‐algebras by sheaves

In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV‐algebras which combines two techniques for the representation of MV‐algebras devised by Filipoiu and Georgescu ([18]) and by Dubuc and Poveda ([16]). Following Davey approach ([12]), we use a subdirect representation of MV‐algebras that is based on local MV‐algebras. This allowed us to obtain: (a) a representation of any MV‐algebras as MV‐algebra of all global sections of a sheaf of local MV‐algebras on the spectruum of its prime ideals; (b) a representation of MV‐algebras, having the space of minimal prime ideals compact, as MV‐algebra of all global sections of a Hausdorff sheaf of MV‐chains on the space of minimal prime ideals, which is a Stone space; (c) an adjunction between the category of all MV‐algebras and the category of MV‐algebraic spaces, where an MV‐algebraic space is a pair (X, F), where X is a compact topological space and F is a sheaf of MV‐algebras with stalks that are local (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)