Universal arcs in local tournaments

An arc $uv$ of a digraph $D$ is called universal if $uv$ and $w$ are in a common cycle for any vertex $w$ of $D$. In this paper we characterize local tournaments whose every arc is universal.     

Delay‐dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure

In this paper, we investigate the effect of delay on the asymptotic behavior of Nicholson's blowflies model with patch structure and multiple time‐varying delays. By using the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.     

Cartesian Closed Extensions of Subcategories of CONT

In this paper we give a uniform way of proving cartesian closedness for many new subcategories of continuous posets. We define C-P to be the category of continuous posets whose D–completions are isomorphic to objects from C, where C is a subcategory of the category CONT of domains. The main result is that if C is a cartesian closed full subcategory of ALG _⊥ or BC, then C-P is also a cartesian closed subcategory of the category CONTP of continuous posets and Scott continuous functions. In particular, we have the following cartesian closed categories : BC-P, LAT-P, aL-P, aBC-P, B-P, aLAT-P, ω -B-P, ω -aLAT-P, etc.     

多自由度分段光滑非线性系统的近似解——中华文物龙洗的自激振动

建立了由于摩擦引起的两个弹性体之间自激振动的数学模型.利用平均法求出了由干摩擦引起的多自由度分段光滑非线性动力系统的近似解析解,分析了搓动速度、振动频率与振幅的关系曲线,相位角与搓动速度的关系曲线,分析结果与数值解基本吻合.为研究多自由度分段光滑非线性系统提供了一种有效的近似解析分析方法.     

多失效模式重要抽样法的方差分析及应用

在计算结构体系失效概率时,基于Monte-Carlo数值模拟的重要抽样技术已被实践证明是一种非常有效的方法。重要抽样法中估计量的方差是影响收敛速度和计算精度的重要指标,因此重要抽样法的方差分析是非常必要的。对于单模式而言,其方差分析比较容易。对于多模式情况,其方差分析有一定的困难。这有可能影响重要抽样法在多模式结构体系失效概率计算中的应用。本文详细推导了几种常见重要抽样法的方差计算公式。然后用方差分析的概念,阐明了多模式重要抽样法应用中的一些问题。     

功能梯度双材料弱/微间断界面的冲击断裂分析

提出强间断、弱间断、微间断和全连续界面的概念与分类，建立功能梯度弹性双材料弱间断 界面冲击断裂问题的力学模型，采用积分变换法推导问题的Cauchy奇异积分方程，并用配 点法求得数值解. 分析表明，弱/微间断性对于FGMs界面裂纹应力强度因子有着重要影响， 而且微间断性是优于弱间断性的一种界面力学性能连接关系. 以FGMs界面某一侧 的力学性能函数在界面处的Taylor展开式的低阶项作为界面另一侧的力学性能函数，便可 以使FGMs界面成为``微间断'界面. 界面的一阶微间断对应力强度因子的减小作用较为明 显，而高阶(二阶及以上)微间断对应力强度因子的影响较小. 减小界面的弱间断程度或使 FGMs界面具备``微间断性'，都将利于提高功能梯度双材料界面抗冲击断裂能力，在一定 程度上达到界面增韧的目的.     

圆钢管型钢再生混凝土短柱偏压力学性能退化研究

为研究圆钢管型钢再生混凝土短柱在偏压荷载作用下的性能退化,进行了10个短柱试件偏心受压试验。主要分析了再生粗骨料取代率、圆钢管径厚比、型钢配钢率和偏心距等参数对试件的荷载-挠度曲线、变形能力、刚度退化及耗能能力的影响。结果表明:该短柱具有较高的承载力和抗弯刚度;与普通混凝土相比,取代率的增加对短柱的承载力和变形是不利的,试件的挠度变形随着取代率的增加而增大,再生粗骨料取代率为100%的试件偏压承载力降低了8.98%,试件刚度退化速率随着取代率的增加而加快,耗能能力逐渐降低;试件的挠度变形随着圆钢管径厚比的增大或型钢配钢率的减小而增大;试件刚度退化速率随圆钢管壁厚、型钢配钢率的增加逐渐变慢,耗能能力增强;另外,偏心距对试件偏压性能影响较为显著,随着偏心距的增大,试件刚度退化和承载力降低更加明显。     

液电冲击波的实验研究

本文用水下电火花微爆炸产生重复性极佳的球形冲击波,用双曝光全息干涉法测量了液电冲击波的传播,并观察到冲击波与水下电极之间的相互作用.实验结果表明此法适用于液电冲击波的测量,特别适用于由冲击波波前位移来确定其峰值压力分布.     

40Cr材料动态起裂韧性KId（）的实验测试

描述了利用Ｈｏｐｋｉｎｓｏｎ压杆技术加载三点弯曲试样测试４０Ｃｒ，材料动态起裂韧性ＫＩｄ（）的试验方法。试样上的动态载荷历程由Ｈｏｐｋｉｎｓｏｎ杆直接测得，并分别代入动态有限元程序及近似公式求得动态应力强度因子历史；由贴在试样裂尖附近的应变片确定起裂时间，最终确定起裂时的动态应力强度因子值，即动态起裂韧性ＫＩｄ（）。试验结果表明:利用Ｈｏｐｋｉｎｓｏｎ压杆技术加载三点弯曲试样测试材料动态起裂韧性的方法是可行的，起裂时，动态有限元的位移法、应力法及近似公式法求得的动态应力强度因子值比较吻合；在本文的载荷速率下，４０Ｃｒ材料动态起裂韧性ＫＩｄ（）与准静态裂韧性ＫＩｄ（）相比，降低了约２８％。     

VISCOPLASTIC SOLUTION TO FIELD AT STEADILY PROPAGATING CRACK TIP IN LINEAR- HARDENING MATERIALS

An elastic-viscoplastic constitutive model was adopted to analyze asymptotically the tip-field of moving crack in linear-hardening materials under plane strain condition. Under the assumption that the artificial viscosity coefficient was in inverse proportion to power law of the rate of effective plastic strain, it is obtained that stress and strain both possess power law singularity and the singularity exponent is uniquely determined by the power law exponent of the rate of effective plastic strain. Variations of zoning structure according to each material parameter were discussed by means of numerical computation for the tip-field of mode Ⅱ dynamic propagating crack, which show that the structure of crack tip field is dominated by hardening coefficient rather than viscosity coefficient. The secondary plastic zone can be ignored for weak hardening materials while the secondary plastic zone and the secondary elastic zone both have important influence on crack tip field for strong hardening materials. The dynamic solution approaches to the corresponding quasi-static solution when the crack moving speed goes to zero, and further approaches to the HR (Hui-Riedel) solution when the hardening coefficient is equal to zero.