CRP复合材料板复合型裂纹扩展方向预测理论研究

本文对碳纤维增强的复合材料板裂纹扩展方向预测理论进行了研究。介绍了最新发展起来的复合材料Z断裂理论 ,并通过试验证明了新理论的正确性     

Characteristics and structures of weak efficient surfaces of production possibility sets

This paper studies the characteristics and structure of the weak surface of the production possibility set. We apply techniques and methods of transferring a polyhedral cone from its intersection form to its sum form, identify an intersection representation of the production possibility set. We give the structure theorem of weak surface of the production possibility set, which includes three complementary slackness conditions. We define the input weak efficiency and output weak efficiency for different DEA models according to the representation of the intersection form. It investigates the characteristics of the weak surfaces, and proves the structure theorems of input weak DEA efficiency and output weak DEA efficiency. The structure theorems establish weighted combination of inputs and outputs that are weak DEA efficient. Numerical examples are provided for illustration.     

在AutoCAD图形上直接进行数控编程的研究

本文介绍一种基于AutoCAD图形 ,用VisualBasic 5 .0为工具的交互式编程方法 ,较好地解决了数控程序的校验问题。     

关于足球运动员保持竞技状态的探讨

足球运动的不断发展和进步 ,赛事不断增加 ,赛季不断延长 ,比赛激烈性不断加大。如果在比赛中能够充分发挥运动员的竞技状态 ,这将对比赛起着不可估量的作用 ,而长期的保持这种状态 ,对整个赛季比赛的获胜至关重要。     

山东细犬能量需要与平衡研究

能量是营养学的重要指标,能量摄入和消耗之间的失衡对动物的健康及保持作为实验动物的重要特性都会产生影响.对于犬的能量需要研究一般是研究基础代谢率,近年来研究能量需要较多,比如热量测定法或保持体重恒定法.保持体重恒定法是指一定时间(5周以上)保持体重恒定时的能量需要为主要指标,保持体重恒定时的进食能量即为能量需要.通过选取1岁左右健康山东细犬12只,随机分为3组,每组4只,各组分别喂不同能量水平的日粮(能量水平分别为10.22MJ/kg、11.23MJ/kg、11.92MJ/kg),每天上午定时定量饲喂,自由饮水.每周空腹称重.饲养试验的第15d开始收集粪便,连续4d,将4d粪便混匀在一起,部分取样进行水分和含氮量测定,其余部分制成风干标本测定能量,用测热法测定能量.主要结果如下三组动物在不同能量水平饲喂6周体重增加不明显(P＞0.05);三组动物粪能和尿能无显著性差异,但消化能和代谢能差异显著(P＜0.05).说明对于山东细犬,维持体重的恒定不需要刻意控制饲料的能量水平,其自身可以通过不同的代谢水平调节.     

Numerical study of simultaneous natural convection heat transfer from both surfaces of a uniformly heated thin plate with arbitrary inclination

 Numerical studies were conducted to investigate the natural convection heat transfer around a uniformly heated thin plate with arbitrary inclination in an infinite space. The numerical approach was based on the finite volume technique with a nonstaggered grid arrangement. For handling the pressure–velocity coupling the SIMPLE-algorithm was used. QUICK scheme and first order upwind scheme were employed for discretization of the momentum and energy convective terms respectively. Plate width and heating rate were used to vary the modified Rayleigh number over the range of 4.8×10⁶ to 1.87×10⁸. Local and average heat transfer characteristics were compared with regarding to the inclination angle. The empirical expressions for local and average Nusselt number were correlated. It has been found that for inclination angle less than 10^∘, the flow and heat transfer characteristics are complicated and the average Nusselt number can not be correlated by one equation while for inclination angle larger than 10^∘, the average Nusselt number can be correlated into an elegant correlation. Received on 18 April 2001 / Published online: 29 November 2001     

炉液倾动重心近似计算的数学分析

为给转炉设计提供依据,需要计算炉液倾动的重心.利用数学方法将实际问题进行简化,通过分析炉液倾动过程中变量间的相互关系,来确定每个倾动角度对应情况下的液面位置.利用数学中三重积分的有关应用,进一步得出转炉在每个倾动角度为α∈(0,π2)时的重心计算方法及相关结论,在理论上为工程计算重心的方法提供参考.     

刘维尔与伽罗瓦数学手稿的发表

1846年,刘维尔在自己主办的杂志“纯粹与应用数学杂志”首次出版了伽罗瓦的数学研究,这对于伽罗瓦理论的传播与发展是具有决定意义的事件.伽罗瓦去世14年后,刘维尔发表伽罗瓦数学研究的原因是什么?采用数学历史文献分析法,得出四个重要原因:①伽罗瓦的朋友和弟弟的请求;②力图弥补科学院曾经造成的不公正;③刘维尔积极扶持年轻人的高贵品质使然;④刘维尔与利布里学术论战的促进.     

The spectrum of BSA(v, 3, λ; α) with α = 2,3

In this article, a kind of auxiliary design BSA^* for constructing BSAs is introduced and studied. Two powerful recursive constructions on BSAs from 3‐IGDDs and BSA^*s are exploited. Finally, the necessary and sufficient conditions for the existence of a BSA(v, 3, λ; α) with α = 2, 3 are established. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 61–76, 2007