二部竞赛矩阵的谱半径

令Γm,n表示所有的不可约m×n二部竞赛矩阵。对于M∈Γm,n,ρ(M)=ρ表示M的谱半径,sc=msc1sc1,ωn=min{ρ(M):M∈Γn,n}。本文主要获得了下述结论:是M的得份向量,s=sc2nsc2(1)如果s′s 54mn+5mn-8s′s/mn。8m2n2,则ρ(M) 1(2)ρ3-(m+n-1)mn2(m+n)ρ-2m2n2-s′s2(m+n)ρ2+mn4(m+n)mn 0。(3)当n 3时,有1.3709<ωn<2.34。     

半二面体群上的三度连通边传递双凯莱图分类

如果一个图Γ存在半正则自同构群H,且H作用在图Γ的点集上有两个相同长度的轨道,那么称图Γ为群H上的双凯莱图。双凯莱图的对称性的研究是代数图论中重要的研究课题。利用三度四循环图的结构,对半二面体群上三度连通边传递的双凯莱图进行了研究,给出了这类双凯莱图的完全分类。     

非线性特征值问题的特征对导数计算

在研究气动弹性力学和受控结构动力学问题进行稳定性或响应分析时,一般需要求解下列复矩阵的非线性参数特征值问题A(C,λ)q=0(1a)p~τA(C,λ)=0(1b)式中A为n×n复矩阵,其元素是标量C和λ在某区域内的可导的代数函数或超越函数,通常     

二次表示满足Δ=B+C的伪欧氏空间的子流形

设x:Mn→Emv是伪黎曼流形到伪欧氏空间的等距浸入,=xxt(t表示转置)称为Mn的二次表示.本文给出了Δ =B+C时的一些结果,其中B和C是m×m常矩阵.     

图变换及其在图的最小无符号拉普拉斯特征值的应用北大核心CSCD

假定G是一个带有点集V(G)={v_(1),v_(2),···,v_(n)}的连通简单图,图G的邻接矩阵A(G)=(a_(ij))_(n×n),其中点vi与点vj相邻,则a_(ij)=1;否则a_(ij)=0。我们定义度矩阵D(G)=diag(dG(v_(1)),dG(v_(2)),···,dG(v_(n))),其中dG(v_(i))是图G中点v_(i)(1≤i≤n)的度数。定义图G的无符号拉普拉斯矩阵Q(G)=D(G)+A(G),因为Q(G)是一个半正定矩阵,所以可将其特征值设为λ_(1)(G)≥λ_(2)(G)≥···≥λ_(n)(G)≥0,其中特征值λn(G)也称为图G的最小无符号拉普拉斯特征值。对补图的最小无符号拉普拉斯特征值问题进行了研究,报告了相关问题的研究现状,给出了两种图变换,并且应用他们去确定所有双圈图的补图中最小无符号拉普拉斯特征值取最小的唯一图。     

结构动力模型修正中的一类对称矩阵反问题

在实际工程中,由有限元模型得到的计算值与通过试验获得的测量值之间往往存在偏差,为了能够精确预测结构的动力响应,依据测量信息修正现有的动力模型是非常必要的.本文研究结构动力模型修正中的一类对称矩阵反问题(IP-MUP):给定矩阵A=diag[ω~2_1,ω~2_2,…ω~2_p)∈R~(p×p),X=[x_1,x_2,…,x_p]∈R~(n×p),以及矩阵Mo,Ko∈SR~(r×r).求矩阵M,K∈SR~(n×n),使得MXA=KX,XTMx=Ip,且满足M([1,r])=M0,K([1,r)=K0,其中M([1,r]),K([1,r])分别表示矩阵M,K的前r阶主子矩阵.运用代数特征值反问题的理论和方法,文中给出了问题IP-MUP有解的充分必要条件;并在有解的情况下,给出了通解的显式表示.     

基于随机因子法的随机结构动力特性分析研究

将随机物理参数结构系统的质量矩阵和刚度矩阵均以随机因子的齐次形式表示,通过对QR变换法求解随机矩阵特征值过程的论述,证明了系统中各阶固有频率具有相同的随机因子,并导出了求解固有频率随机变量概率密度的公式;在此基础上,论述了系统正则振型矩阵中各元素亦具有相同的随机因子,并导出了求解正则振型随机因子概率密度的公式.通过算例及与Monte Carlo数值模拟结果的对比,验证了文中求解方法和所得结论的正确性.     

一类对称正交反对称矩阵反问题

设P是n阶对称正交矩阵,如果n阶矩阵A满足AT=-A和(PA)T=-PA,则称A为对称正交反对称矩阵。讨论了问题IPLS:给定n阶矩阵 A,n×m矩阵X和B,求n阶对称正交反对称矩阵A使得‖AX-B‖F=min和‖ A-A‖F=min。给出了该问题解的表达式及其数值方法,并将所得结果应用于研究对称正交反对称矩阵特征值反问题。     

二次表示满足△x^～＝Bx^～＋C的伪欧氏空间的子流形

设x:Mn→Emv是伪黎曼流形到伪欧氏空间的等距浸入,=xxt(t表示转置)称为Mn的二次表示.本文给出了Δ =B+C时的一些结果,其中B和C是m×m常矩阵.     

二次表示满足Δ=B+C的伪欧氏空间的子流形

设 x:Mn→ Emv是伪黎曼流形到伪欧氏空间的等距浸入 ,x=xxt(t表示转置 )称为 Mn的二次表示。本文给出了Δx=Bx+C时的一些结果 ,其中 B和 C是 m× m常矩阵     

Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures

In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral mesh is refined around the inserted surfaces to capture their geometric features. Second, each immersed surface is approximated by a set of faces from the tetrahedral mesh. Third, following a novel approach, the nodes of the approximated surfaces are mapped to the corresponding immersed surface. Fourth, we untangle and smooth the mesh by optimizing a regularized shape distortion measure for tetrahedral elements in which we move all the nodes of the mesh, restricting the movement of the edge and surface nodes along the corresponding entity they belong to. The refining process allows approximating the immersed surface for any initial meccano tetrahedral mesh. Moreover, the proposed projection method avoids computational expensive geometric projections. Finally, the applied simultaneous untangling and smoothing process delivers a high‐quality mesh and ensures that the immersed surfaces are interpolated. Several examples are presented to assess the properties of the proposed method.     

Certification Institutions Expected to Update and Transfer Information on Present Standards

Standards are the basis for production enterprises to organize production, ex-factory inspection, trade (delivery) and technical exchanges, product certification, quality arbitration and supervision.……     

Flow calorimeter for enthalpy increment measurements on condensed gases

A flow calorimeter for enthalpy increment measurements on condensed gases is presented. A better knowledge of the properties of the liquefied natural gas is needed, and therefore a liquid loop has been designed for our flow calorimeter. The fluid loop in the calorimeter is designed in order to avoid the two-phase region, since two phases would give compositional disturbances in the measurements. The avoidance of the two-phase region is made possible by increasing the pressure of the test fluid after the measurement section, then heating the fluid at super-critical pressure past the critical point. Finally, the fluid is throttled to the low-pressure gas state at the inlet condition of the compressor that circulates the fluid. To perform the pressure increase, a new cryogenic pump has been designed. To evaluate the new equipment, measurements were taken on liquid ethane over the temperature range 146–256 K at pressure between 0.9 and 5.1 MPa.     

From Industry 4.0 to Research 4.0. Development of High Performance Fibers in the Light of Digitization

We associate a variety of innovations with the term ＂Industry 4.0＂. The pioneer of many 4.0 modifications forms the basisfor the trend towards the integrated di...     

Refrigerators Enter a New Era of Health Preservation Frestech initiates the establishment of China's first standard for household sterilization refrigerators

On November 30, 2007, the China Association for Standardization (CAS) held a press conference at Beijing Diaoyutai State Guest House. Leaders from the China Household Electric Appliance Research Institute, the China Household Electric Appliance Association, and the China Consumers' Association attended and made speeches.……     

Roman iron and steel: A review

ABSTRACT

The production of ferrous metal increased during the Roman Late Republican period, Principate and Empire. The direct bloomery process was used to extract the metal from its ores using slag-tapping and slag-pit furnaces. The fuel was charcoal and an air blast was introduced by bellows-operated tuyères. Iron formed as a bloom, often as a spongy mass of metal, which contained impurities from the smelting process, including unreacted ore, fuel, slag and fragments from the furnace walls, while the metal was often inhomogeneous with varied carbon contents. Blooms were either smithed directly into bars or ingots or they were broken up, which also allowed the removal of gross impurities and a selection of pieces with similar properties to be made. These could then be forge-welded together and formed into characteristically shaped ingots. Making steel in the furnace seems to have been achieved: it depended on the ore and the furnace and conditions within it. Surface carburization was also carried out. Iron and steel were used extensively in construction and for tools and weapons. Fire welding was often used to add pieces of steel to make the edges of tools and weapons, which could be heat-treated by quenching to harden them.     

Optimum-Simulation von Ernteprozessen

Zusammenfassung Bei der Gestaltung von Ernteprozessen — beispielsweise des Prozesses Mähdrusch, Körnertransport und -abnahme — als transportverbundene Fließarbeitsverfahren mit mindestens zwei verschiedenen Arbeitsmitteln gibt es einen großen Optimierungsspielraum. Solche Prozesse sind mehrstufige Bedienungsprozesse mit gemischter Anordnung der Bedienungseinrichtungen. Außerdem besitzen sie stark ausgeprägte räumliche Aspekte. Es wird vor allem gezeigt, welche Merkmale solcher Prozesse in Simulationsmodellen abgebildet sein müssen, welche Zielgrößen in Abhängigkeit von welchen Einflußgrößen unter Berücksichtigung welcher Prozeßbedingungen ermittelt werden sollten und wie der Bewertungsprozeß zur Ermittlung der gewünschten Informationen gestaltet werden muß.     

A study of centrifugal cast high boron high speed steel

In the present study a high‐boron high speed steel (HSS) roll material was designed. Many expensive alloy elements have been substituted by cheap boron alloy, and high‐boron high speed steel roll has been manufactured by centrifugal casting method. The microstructures, mechanical properties and wear resistance of centrifugal casting high‐boron high speed steel roll have been investigated by optical microscopy (OM), scanning electron microscopy (SEM), and X‐ray diffraction (XRD) analysis, hardness test, impact test and wear test. The results indicated that the solidification microstructures of high‐boron high speed steel roll consisted of M₂(B,C), (W,Mo)₂(B,C), M₃(B,C), M₂₃(B,C)₆ type borocarbides and martensite, a small amount of retained austenite. Borocarbides were continuously distributed over the grain boundary. After quenching from 1050 °C, local broken network appeared in partial borocarbides, and fine secondary borocarbide precipitated from the matrix. After tempering from 525 °C, the amount of precipitated borocarbide increased significantly. After heat treatment, the hardness of high‐boron high speed steel roll excelled 60 HRC, and its impact toughness excelled 8.0 J/cm². The single groove steel rolling amount of high‐boron high speed steel rolls increases by 500% than that of bainite cast iron roll, when the rolls are used in K₁ mill housing of bar mill.     

Thixotropy of Systems with Shear Thinning and Plastic Flow Behavior

The definition of the thixotropy is a decrease in viscosity with time in shear and a subsequent recovery of viscosity after the shear deformation is removed.We ...