复合材料的强度和稳定性理论中的几个近代问题

本文论述了复合材料的强度和稳定性理论中的三个近代问题:复合材料迭层板的强度准则,多层复合材料圆柱壳的非线性稳定性理论,以及复合材料板的动力稳定性理论。关于迭层板的强度准则,论述了目前以张量多项式形式所表述的唯象性破坏准则,着重讨论和比较了各种近代理论在确定耦合系数方面的特点和差别。提出了近代理论中所存在的困难和发展趋势。在多层复合材料圆柱壳的非线性稳定性理论分析中,主要的问题在于如何研究和考虑那些非线性因素,诸如由材料的剪切模量所引起的物理非线性,横向剪切变形的影响,壳体结构的初始缺陷和几何非线性,以及前屈曲变形和边界支承条件的影响等。本文指出了考虑这些因素的方法以及它们的影响程度。复合材料板的动力屈曲性能研究是一个重要的近代研究方向。本文提出了关于复合材料本身的阻尼系数,纵向和转动惯性力影响,横向剪切效应,迭层板的初始几何缺陷,以及增强纤维的铺设方向等因素对于动力屈曲性能的影响。同时提出了计算这些影响的方法,指出这些因素在复合材料板的动力稳定性分析中有着重要作用。     

The stability analysis of expansive slope in Jing-Yi Expressway

INTRODUCTION Jing-Yi Expressway (95 km) is the Jingmen-Yichang section of the Hangzhou-Lanzhou Ex-pressway line. The embedment slopes along the lineare mainly expansive slopes causing many incon-veniences for engineering. With longtime exposure,water accumulated in widespread sections because ofbad drainage measures, and constructions collapsed.In this work, a selected representative sector’s stabil-ity is analyzed and the corresponding reinforcementmeasures are presented. DISTRI…     

Stability analysis of discrete-time BAM neural networks based on standard neural network models

To facilitate stability analysis of discrete-time bidirectional associative memory (BAM) neural networks, they were converted into novel neural network models, termed standard neural network models (SNNMs), which interconnect linear dynamic systems and bounded static nonlinear operators. By combining a number of different Lyapunov functionals with S-procedure, some useful criteria of global asymptotic stability and global exponential stability of the equilibrium points of SNNMs were derived. These stability conditions were formulated as linear matrix inequalities (LMIs). So global stability of the discrete-time BAM neural networks could be analyzed by using the stability results of the SNNMs. Compared to the existing stability analysis methods, the proposed approach is easy to implement, less conservative, and is applicable to other recurrent neural networks.     

关于自治系统极限环的一点应用

将自治系统极限环的稳定性判定思想方法,应用于重要极限(limx→0)sinx/x=1的证明中,给出一种新的证法.     

Stability robustness of linear output feedback systems with both time-varying structured and unstructured parameter uncertainties as well as delayed perturbations

This paper investigates the stability robustness of linear output feedback systems with both time-varying structured (elemental) and unstructured (norm-bounded) parameter uncertainties as well as delayed perturbations by directly considering the mixed quadratically coupled uncertainties in the problem formulation. Based on the Lyapunov approach and some essential properties of matrix measures, two new sufficient conditions are proposed for ensuring that the linear output feedback systems with delayed perturbations as well as both time-varying structured and unstructured parameter uncertainties are asymptotically stable. The corresponding stable region, that is obtained by using the proposed sufficient conditions, in the parameter space is not necessarily symmetric with respect to the origin of the parameter space. Two numerical examples are given to illustrate the application of the presented sufficient conditions, and for the case of only considering both the delayed perturbations and time-varying structured parameter uncertainties, it can be shown that the results proposed in this paper are better than the existing one reported in the literature.     

Research on the rheological properties of pesticide suspension concentrate

This study reports research on pesticide suspension rheology and a new rheological parameter, the relative value of approach, which has great advantage for judging the physical stability of a pesticide suspension concentrate. Experiments showed that the system can form stable dispersions when the value of the relative value of approach (Sr) is less than 0.1.     

关于求解无界区域上Helmholz方程的Hermite-Galerkin谱方法

考虑直接用Hermite-Galerkin谱方法求解无界区域上的Helmholz方程.一般来说,由于无界区域上的Laplace算子不是紧算子,因此无法得到离散格式的稳定性.但分析表明,在适当的参数选取下,可以使用Hermite-Galerkin谱方法而取得较高的数值精度.数值结果也验证了上述结论.     

Optimum design of large span concrete filled steel tubular arch bridge based on static,stability and modal analysis

A three-dimensional finite element model was established for a large span concrete filled steel tubular (CFST) arch bridge which is currently under construction. The arch rib, the spandrel columns, the prestressed concrete box-beam, the cast-in-situ concrete plate of bridge deck, the steel box-beam and the crossbeams connecting the two pieces of arch ribs, were modeled by three-dimensional Timoshenko beam elements (3DTBE). The suspenders were modeled by three-dimensional cable elements (3DCE). Both geometric nonlinearity and prestress effect could be included in each kind of element. At the same time a second finite element model with the same geometric and material properties excepted for the sectional dimension of arch rib was set up. Static dynamic analyses were performed to determine the corresponding characteristics of the structure. The results showed that the arch rib's axial rigidity could be determined by static analysis. The stability and vibration of this system could be separated into in-plane modes, out-of-plane modes and coupled modes. The in-plane stability and dynamic characteristics are determined by the arch rib's vertical stiffness and that of out-of-plane is determined by the crossbeams' stiffness and arch rib's lateral stiffness mainly. The in-plane stiffness is much greater than that of out-of-plane for this kind of bridge . The effect of geometric nonlinearity and prestress effect on bridge behavior is insignificant.     

具时滞电磁轴承系统的稳定性和分支存在性分析

研究了具时滞电磁轴承系统的数学模型.从对系统线性化方程的特征方程根的分布分析入手,讨论了系统平衡点的稳定性条件,进而确定了系统平衡点的线性稳定性区域,然后又讨论了系统Hopf分支的存在性.最后,通过数值模拟验证了得到的结论.     

紫芋花色苷的抗氧化活性及其稳定性研究

采用铁离子还原法测定了紫芋中花色苷的总抗氧化能力,及防腐剂、金属离子和温度因素对其总抗氧化能力的影响.结果表明紫芋花色苷提取物的总抗氧化能力随加热时间延长而下降,温度越高,下降速度越快.防腐剂苯甲酸钠对紫芋花色苷提取物总抗氧化能力的影响不明显,四种金属离子（K＋、Mg2＋、Ca2＋、Zn2＋）对其总抗氧化能力有不同程度...