Sinusoidal disturbance rejection in chaotic planar oscillators

The main goal of this paper is to design a compensator able to restore the nominal behavior of a planar system, which is rendered chaotic by an unmeasurable sinusoidal disturbance input. To reach such a goal, some instruments, taken from algebraic geometry, are used to estimate the unmeasurable disturbance from the time derivatives of the output of the system and of the control input. Copyright © 2015 John Wiley & Sons, Ltd.     

An extended stochastic pseudo-spectral Galerkin finite element method (XS-PS-GFEM) for elliptic equations with hybrid uncertainties

Nouy and Clement introduced the stochastic extended finite element method to solve linear elasticity problem defined on random domain. The material properties and boundary conditions were assumed to be deterministic. In this work, we extend this framework to account for multiple independent input uncertainties, namely, material, geometry, and external force uncertainties. The stochastic field is represented using the polynomial chaos expansion. The challenge in numerical integration over multidimensional probabilistic space is addressed using the pseudo-spectral Galerkin method. Thereafter, a sensitivity analysis based on Sobol indices using the derived stochastic extended Finite Element Method solution is presented. The efficiency and accuracy of the proposed novel framework against conventional Monte Carlo methods is elucidated in detail for a few one and two dimensional problems.     

旋转叶片电加热防冰系统设计与应用

在开展结冰试验时，结冰风洞风扇叶片前缘有结冰风险，影响风洞安全运行。针对大型旋转叶片结冰问题，提出了旋转叶片电加热防冰系统设计方法，研制了大型结冰风洞旋转叶片电加热防冰系统。首先，研制了内置电加热单元和温度反馈的防冰叶片。针对叶片复杂的工作环境，提出一种新的旋转叶片电加热防冰功率计算方法，通过精确测量和方案优化，设计了基于特殊环境的分半式、大尺寸、高线速度、碳刷自动移开/压紧的导电滑环。最后，采用变结构分级温度闭环和试验参数连锁防冰控制策略解决了旋转叶片结冰问题。该系统已应用于大型结冰风洞，运行中加热电流和叶片温度反馈信号传输连续，所有旋转叶片前缘快速加热且温度分布均匀，防冰效果好。     

Parametric Solutions to the Generalized Discrete Yakubovich‐Transpose Matrix Equation

This paper is concerned with the complete parametric solutions to the generalized discrete Yakubovich‐transpose matrix equation X − AX^TB = CY. which is related with several types of matrix equations in control theory. One of the parametric solutions has a neat and elegant form in terms of the Krylov matrix, a block Hankel matrix and an observability matrix. In addition, the special case of the generalized discrete Yakubovich‐transpose matrix equation, which is called the Karm‐Yakubovich‐transpose matrix equation, is considered. The explicit solutions to the Karm‐Yakubovich‐transpose matrix equation are also presented by the so‐called generalized Leverrier algorithm. At the end of the paper, two examples are given to show the efficiency of the proposed algorithm.     

Synthesis of ionic liquids based on alkylimidazolium salts and their coal dissolution and dispersion properties

A series of new bis (imidazolium) cation-based ionic liquids, wherein two imidazole rings are tethered by alkyl ether chains (oxygen numbers) of different lengths, were prepared, and their coal dissolution and dispersion properties were studied. It was found these ionic liquids can be used to fragment, disperse, and partially dissolve micrometer-size coal particles by simply mixing ionic liquid/coal dispersions. Dissolution performances and light hydrocarbon production were found to be sensitively increased by increasing the lengths of alkyl ether chains between imidazolium rings.     

矩形悬臂板对称弯曲问题的解

矩形悬臂板弯曲问题是Ｋｉｒｃｈｈｏｆｆ板理论中的难题．利用广义方法讨论了矩形悬臂板的对称弯曲．选择了三角函数和多项式的挠度函数．满足全部位移边界条件．自由角点条件和一部分力的边界条件．所得结果．同一些“精确解”是一致的．文中给出了挠度及弯矩的计算公式．     

基于AIC准则的回归方法在建筑物变形分析中的应用

鉴于引起建筑物变形的地质、水文、气候、附近开挖等原因的不确定性和各种因素影响度的不确定性,本文提出将基于AIC准则的回归理论应用到变形分析中,实现了多项式回归系数和幂次方的自适应处理,并实现了建筑物变形分析中变形因子和回归函数的自动确定。在MATLAB下编写了算法,并提出了优化方案。实践证明,这一理论很适合于变形分析。     

岩土参数概率密度函数的正交多项式推断

岩土参数的概率密度函数在岩土工程可靠性的分析中有很重要的作用。文章基于数值逼近原理，直接根据试验样本矩，运用勒让德正交多项式来拟合岩土随机参数的概率密度函数。并且用X^2法进行检验，根据有限比较法确定其中的最佳分布概型，在理论上证明该方法的正确性和实用性。通过算例表明，所得到的逼近表达式有很好的拟舍性能，数值计算稳定，可以满足岩土工程可靠性分析的要求。     

Stochastic response of hysteretic systems

This paper deals with approximate stochastic response of hyseretic structures under white noise excitation, based on It stochastic differential equations. Instead of the original system an equivalent nonlinear system is considered, in which the drift vector is given by a series expansion of the order n 1 in terms of the state variables. n = 1 represents the well-known case of equivalent linearization. Components in the drift vector representing the nonanalytical constitutive equations are replaced by a cubic polynomial expansion. The hierarchy of statistical moment equations is closed by a cumulant neglect closure scheme. The method has been applied to a bilinear single degree-of-freedom system subjected to white noise excitation, for which an equivalent system with a cubic series expansion to the constitutive equation is considered. The results obtained are compared with those of numerical simulation and alternative methods, and they provide substantial improvements compared to equivalent linearization.     

适用于计算机程序计算的湿空气计算方法

本文旨在提出一种适用于计算机程序计算的湿空气状态参数计算方法。本文通过采用最小二乘法对饱和水蒸气压力试验数据进行分段二次多项式拟合,由此得出一个分段计算函数,并提出建立在此分段函数基础上的湿空气状态参数计算方法。通过与已有经验公式及实验数据对比表明此方法具有较高的计算精度。经过实践证明,此方法适用于编写需要进行湿空气计算的相关计算机程序。