固体力学有限元体系的结构拓扑变化理论

本文是文[1]的继续.文[1]提出了杆件系统的结构拓扑变化理论和拓扑变化法本文将这一理论和方法推进到连续体有限元体系;且在此基础上揭示出有限元体系的一个新性质,称为基本位移之梯度的正交性定理,从而给出一套设计敏度的显式表达式,可直接用于计算.     

虚拟RLC电参量测试仪

虚拟仪器在测试测量领域、自动控制和工业控制领域有着广泛的应用.为提高本科生普通物理实验训练的起点,北京大学基础物理实验中心将虚拟仪器引入到物理实验教学中.本文以虚拟RLC电参量的测量为例,介绍了虚拟仪器在物理实验中的具体应用.     

Preliminary Contribution to the Quantification of HMF in Honey by Electrochemical Biosensor Chips

Several hydroximethylfurfural (HMF) microbiosensors, based on a microelectrode configuration built by photolithographic techniques, have been developed. Two different biosensors based on the aldehyde dehydrogenase (ALDH) enzyme coupling with NADH oxidase (NOD) or diaphorase (Diaph) are described. Experimental variables were optimized using experimental design methodology, by central composite designs, taking the intensity registered for a given HMF solution as response. Given the reproducibility (residual standard deviation (RSD), 7.20%), repeatability (RSD=3%) and limit of detection (LOD)=1.68×10^?4 mol dm^?3 (α=β=0.05 and a replicate) reached by the ALDH‐Diaph microbiosensor under the optimum conditions, the analysis of HMF in honey was successfully accomplished.     

A profit-maximizing supply chain network design model with demand choice flexibility

We present a profit-maximizing supply chain design model in which a company has flexibility in determining which customers to serve. The company may lose a customer to competition if the price it charges is too high. We show the problem formulation and solution algorithm, and discuss computational results.     

激光除冰研究

架空输送电线路因覆冰而导致的事故危害性很大,本文总结了目前国内外输电线路导线覆冰的现状。统计国内外探索出来的各种预防,融化,除冰等很多解决方案。通过研究和探讨,分析导线覆冰的传热和能量,运用了多种激光器进行激光熔(除)冰实验,比较研究二氧化碳激光器的除冰情况。以及提出激光熔冰的方法、研究方向和前景。     

A note on minimum degree conditions for supereulerian graphs

A graph is called supereulerian if it has a spanning closed trail. Let G be a 2-edge-connected graph of order n such that each minimal edge cut SE(G) with |S|3 satisfies the property that each component of G−S has order at least (n−2)/5. We prove that either G is supereulerian or G belongs to one of two classes of exceptional graphs. Our results slightly improve earlier results of Catlin and Li. Furthermore, our main result implies the following strengthening of a theorem of Lai within the class of graphs with minimum degree δ4: If G is a 2-edge-connected graph of order n with δ(G)4 such that for every edge xyE(G) , we have max{d(x),d(y)}(n−2)/5−1, then either G is supereulerian or G belongs to one of two classes of exceptional graphs. We show that the condition δ(G)4 cannot be relaxed.     

Large set of P3‐decompositions

Let G=(V(G),E(G)) be a graph. A (n,G, λ)‐GD is a partition of the edges of λK_n into subgraphs (G‐blocks), each of which is isomorphic to G. The (n,G,λ)‐GD is named as graph design for G or G‐decomposition. The large set of (n,G,λ)‐GD is denoted by (n,G,λ)‐LGD. In this work, we obtain the existence spectrum of (n,P₃,λ)‐LGD. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 151–159, 2002; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10008     

混沌实验数据处理及仿真

大学物理实验中混沌实验大多采用观察现象的方法进行,本实验采用蔡氏电路(Chua s circuit)产生混沌行为.在观察不同初始值条件下出现的倍周期分岔、阵发混沌、奇异吸引子等相图及现象的基础上,通过对采集数据进行处理,对负电阻伏安特性进行分段线性拟合,用功率频谱法、计算机仿真方法(龙格-库塔数值积分法)对混沌现象进行描绘,将实验数据与非线性方程组的数值解相结合,呈现出混沌现象的本质.     

第一类永动机幻梦的破灭

介绍了13~18世纪物理学史和科技史上曾名噪一时的第一类永动机的设计方案的破灭.第一类永动机幻梦破灭的历史引起了人们的反思与启示,有力地促进了19世纪中叶能量转化和守恒定律的确立.     

Commuting and stable feedback design for switched linear systems

In the paper, commuting and stable feedback design for switched linear systems is investigated. This problem is formulated as to build up suitable state feedback controller for each subsystem such that the closed-loop systems are not only asymptotically stable but also commuting each other. A new concept, common admissible eigenvector set (CAES), is introduced to establish necessary/sufficient conditions for commuting and stable feedback controllers. For second-order systems, a necessary and sufficient condition is established. Moreover, a parametrization of the CAES is also obtained. The motivation comes from stabilization of switched linear systems which consist of a family of LTI systems and a switching law specifying the switching between them, where if all the subsystems are stable and commuting each other, then the total system is stable under arbitrary switching.