弹性杆的动态屈曲模态

本文提出了屈曲相关初缺陷的概念,采用最优模态分析方法,由Bernolli-Euler梁方程出发给出了弹性杆在齐次边条件下的动态屈曲模态、由此对两端固支弹性杆的动态屈曲模态进行了讨论.     

Cr、Mn、Co、Ni掺杂对Al13Fe4相稳定性和力学性能影响的第一性原理研

采用基于密度泛函理论的第一性原理计算方法,系统地研究了不同掺杂浓度下过渡族元素Cr、Mn、Co、Ni在Al13Fe4相中的占位情况、结构稳定性和机械性能. 计算得到所有的Al13(Fe24-xMx) (M=Cr、Mn、Co、Ni;X=1,2,4)相都具有良好的热力学稳定性和机械稳定性. 相同掺杂浓度化合物的形成焓按如下顺序减小：Al78(Fe24-xCrx) > Al78(Fe24-xMnx) > Al13Fe4 > Al78(Fe24-xNix) > Al78(Fe24-xCox).形成焓的降低增加了Al13Fe4相成核驱动力,Co和Ni有利于促进Al-Fe合金中Al13Fe4相形核,细化Al13Fe4相. 过渡族元素可以改善金属间化合物的脆性,增强塑性变形能力. 并且随着掺杂浓度的增加,过渡族元素的加入对脆性的改善呈先增大后减小的趋势.     

矩阵DA的特征值及在系统稳定性分析中的应用

本文分析了矩阵ＤＡ的特征值，并提出了一种新的矩阵稳定性问题：Ｄ－－稳定性和块Ｄ－－稳定性．这里Ｄ是一个正对角阵，Ａ是给定的矩阵．应用劳斯判据及李雅普诺夫方法等，详细地分析了此类稳定性问题，提出了一些易于验证的结果，可用于分析多变量奇异摄动系统稳定问题．     

灰色时变离散系统的稳定性分析

本文讨论了一类灰色时变离散系统和一类具有时滞的灰色时变离散系统的稳定性问题．利用比较原理和差分不等式获得了一些简单的代数判据     

The Problem of Periodic Solutions for a Class of Dynamical Systems（Ⅰ

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第一性原理对 阴离子团族结构及稳定性的研究

用密度泛函理论(DFT)的B3LYP方法, V的内层10个电子用相对论有效实势(RECP)近似, 氧原子用全电子基组6-311＋＋g(d,p), V的价电子用lanl2dz基组, 对气态 分子的几何构型, 振动频率, 垂直电子亲和势、垂直电离能和能级分布进行了理论研究. 该系列分子的基态电子态为: VO1-(3Σ), ( ), ( ), (1A1), (3A). 分子基态的几何构型为平面分子, 没有John-Teller效应或Jenner-Teller效应. 而VO41-、VO51- 分子的基态都是立体结构, 存在明显的John-Teller和Renner-Teller效应, 对称性降低, 稳定性增加. 对基态结构的垂直电离能, 电子性质和能级分布研究表明: 比 稳定, 氧原子数从3增加到5, 稳定性没有明显变化.     

Molecular Dynamics Study of Stability of Solid Solutions and Amorphous Phase in the Cu-Al System

The relative stability of fee and bcc solid solutions and amorphous phase with different compositions in the Cu-Al system is studied by molecular dynamics simulations with n-body potentials. For CU1-xAlx alloys, the calculations show that the fee solid solution has the lowest energies in the composition region with x 〈 0.32 or x 〉 0.72, while the bcc solid solution has the lowest energies in the central composition range, in agreement with the ball-milling experiments that a single bcc solid solution with 0.30 〈 x 〈 0.70 is obtained. The evolution of structures in solid solutions and amorphous phase is studied by the coordination number （CN） and bond-length analysis so as to unveil the underlying physics. It is found that the energy sequence among three phases is determined by the competition in energy change originating from the bond length and CNs （or the number of bonds）.     

Kinetic Model of the Lysogeny/Lysis Switch of Phage λ

A kinetic model of the interactions between operators and regulators is developed to study the stabilities of genetic states and lysogeny/lysis switch in Eschemchia coli infected by bacteriophage lambda. Using adiabatic approximation, the kinetic evolutions of mRNA and regulator concentrations can be deduced from operators＇ equations. Furthermore, the stability of each state of the system is studied. The results show that the lysogenic state switches to the lytic state through two bifurcations： one from a single stable state to a three-point state, and the other from a three-point state to a single stable state. Then we indicate that the property of the lysogeny/lysis switch satisfies the topological characteristics theorem. Finally, the influence of the left operators on the lysogeny/lysis switch is briefly discussed. The results show that the cooperativity of the CI2 bound to left and right operators makes the lysogenic state more stable.     

Optical bistability of a composite system induced by a broadband squeezed vacuum

A composite system consisting of a degenerate optical parametric oscillator （DOPO） and N two-level atoms interacting with a broadband squeezed vacuum （SV） centred at frequency cas and an input monochromatic pumping field with a frequency ωp is analysed. The corresponding explicit analytical steady-state solutions in the central mode ωp = ωs are derived, and the result displays optical bistability （OB）. In addition, the influence of the broadband SV on the bistable behaviour is analysed in detail.