不饱和烃同系物凝聚型物理性质递变规律的数学描述

以H-(CH2)n-CH=CH2和H-(CH2)n-C≡CH型同系物结构重复单元数值连续变化为模型,获得了描述该同系物凝聚型物理性质递变规律的数学表达式:P=(a0+a1n+a2n2)/(1+b2n2),式中a0、a1、a2、b2均为常数,n为结构重复单元数值,P为同系物的凝聚型物理性质。通过非线性回归分析,得到回归方程,结果表明同系物的凝聚型物理性质与重复结构单元数值之间满足上述关系式,并显示优良的相关性。     

Quasi-Geostrophic方程经典解的爆破准则

考虑Quasi-Geostrophic方程,以经典解沿流线小时间的表现,给出Quasi-Geostrophic方程经典解沿流线爆破的一个充分条件.方法是从Quasi-Geostrophic方程推出一个解的梯度长度的倒数沿流线的微分不等式,从而推出结论.手法与结果都类似于Chae关于3维不可压Euler方程组经典解的爆破工作.该结果对进一步研究Quasi-Geostrophic方程相关问题,有一定的启示作用.     

环的弱正则性

首先引入弱正则理想的概念,得到了弱正则理想的一些性质,接着讨论了半群环的弱正则性.     

Two-port network model and startup criteria for thermoacoustic oscillators

The startup process of a thermoacoustic engine is a self-excited oscillation process generated in inhomogeneous acoustic media. To reveal these coupling relations between various influential factors is an important task of basic research on thermoacoustics. In this paper thermoacoustic engines are regarded as thermoacoustic oscillators consisting of the active network and the passive network. Accordingly, the two-port Y-parameter for relevant component is derived, and standing wave and traveling wave thermoacoustic engine are described by the negative-resistance and feedback model, respectively. The relevant two-port network topology is given as well. The startup criteria for thermoacoustic oscillators are obtained by using Nyquist instability criterion. The model prediction of startup parameters, particularly, startup frequency and mode characteristic are in agreement with that of experimental results reported in the literature. Moreover, with topological graphs it is verified that standing wave engines would start up in a negative-resistance state and there would exist high frequency modes in thermoacoustic-Stirling engines. By investigating into the frequency response of thermoacoustic system, this method proposed can achieve such an objective that these effects of operating and structural parameters of engine on startup modes and startup temperature can be revealed in an analytical way. Thus this approach to test and check thermal stability can be provided in a design phase, instead of using empirical frequency to design thermoacoustic systems. Electronic Supplementary Material  Supplementary material is available for this article at and is accessible for authorized users. Supported by National Natural Science Foundation of China (Grant Nos. 50576024 and 51076013)     

斜阳照文心 灵动写人生—读张蕾教授的《斜阳居杂缀（上卷）》

从自身人生体验入题，对张蕾教授的《斜阳居杂缀（上卷）》进行了解读与评论，凸显了人格魅力，从而提出了：对自己，要“独善其身，人品第一”；对别人，要“相善其群，以人为本”；写文章，要“文善致远，人格至上”。如此“人”向“善”、“群”主“和”、“文”从“心”的回归与升华，必将闪射永恒的光辉。     

正态分布随机参数的一种估计方法

本文提出了一种最大似然估计方法,可对一般非线性模型中服从正态分布的随机参数的均值、协方差矩阵及其在各观测时刻的取值进行合理的估计。     

稀土族Pm和Tm两元素固溶度的抛物线法预测

本文利用张邦维等提出的键参数函数和尺寸因素方法对稀土族Ｐｍ，Ｔｍ两元素基上的室温下固溶度作抛物线法预测，对２３个过渡族基，１８个简单元素基，１３个稀土族元素基和３个锕系元素基的研究所得结果与实验测定数据很好地符合，因此，预测结果是可信的。     

总熵判据的作用和局限

首先讨论了环境熵变和热源熵变间的区别，以及两者相同时的条件；然后阐述了总熵判据和克劳修斯不等式在本质上并无不同之处，都可以用于判别过程的可逆性；最后将总熵变与隔离体系的熵变相比较，对它们的用途进行了详细讨论。     

逐段线性加载面等向强化时角点处塑性应力应变关系

特雷斯卡屈服条件在等向强化时的强化函数在文献中讨论较少，本文建议了一个强化函数，它能与特雷斯卡屈服函数相匹配，且有效充分的实验基础。它与夸脱理论相结合，得到了在角点处的塑性增量应力应变关系，在角点上剪应力增量与剪应变增量间是单值确定的。