重复频率下飞秒激光驱动产生的X射线焦斑测量

为了获取强激光驱动产生的X射线光源焦斑尺寸和空间分辨率,设计了刃边及双网格方法,其中刃边厚度为0.2μm,双网格分别为400目铜网格和394lp/cm的镍网,利用X射线CCD作为探测元件。Ti宝石激光在能量1J、脉宽40fs、频率10 Hz、激光功率密度约为4.4×1018 W/cm2的条件下,重复频率加载圆盘Cu靶。在中国工程物理研究院25TW激光装置上首次获得了X射线的焦斑及网格图像,并推算了该装置的X射线焦斑尺寸为43μm,而网格空间分辨力为34μm。结果表明该刃边及双网格方法适合强激光驱动产生的X射线焦斑尺寸测定。     

NONCLASSICAL POTENTIAL SYMMETRIES AND INVARIANT SOLUTIONS OF HEAT EQUATION

Some nonclassical potential symmetry generators and group-invariant solutions of heat equation and wave equation were determined. It is shown that some new explicit solutions of partial differential equations in conserved form can be constructed by using the nonclassical potential symmetry generators which are derived from their adjoint system. These explicit solutions cannot be obtained by using the Lie or Lie-Backlund symmetry group generators of differential equations.     

New estimate the bounds for the generalized Lorenz system

The bound of a chaotic system is important for chaos control, chaos synchronization, and other applications. In the present paper, the bounds of the generalized Lorenz system are studied, based on the Lyapunov function theory and the Lagrange multiplier method. We obtain a precise bound for the generalized Lorenz system. The rate of the trajectories is also obtained. Furthermore, we perform the numerical simulations. Numerical simulations are presented to show the effectiveness of the proposed scheme. Copyright © 2014 John Wiley & Sons, Ltd.     

公平偏好下双渠道供应链改进收入共享契约与协调

在市场需求是随机的且受零售商努力水平影响的一般情形下,考虑零售商的不利不公平厌恶偏好,研究设计双渠道供应链协调的改进收入共享契约机制.结果表明,在一定的契约参数取值条件下,双渠道供应链能够实现协调.双渠道供应链协调时,制造商完全占有直销渠道的销售收入.研究结论拓展了收入共享契约协调供应链的理论研究.     

Continuous-scale mathematical morphology-based optimal scale band demodulation of impulsive feature for bearing defect diagnosis

Integer-scale structuring element is usually used in the traditional mathematical morphology (MM) for signal processing. When applied for impulsive feature demodulation of vibration signal of rolling element bearings, the integer-scale MM (ISMM) may lead to low resolution result and thus undermines its defect diagnosis capability. For this reason, this paper proposes a continuous-scale MM (CSMM) scheme by interpolation and re-sampling to improve scale resolution for more reliable fault signature extraction. Based on the frequency domain kurtosis criterion, a narrowband merging operation is employed to locate the optimal scale band that best reflects the impulsive feature from the CSMM analysis results. The demodulated components in the optimal scale band are employed to detect the existence of the bearing fault. The proposed optimal CSMM demodulation technique is evaluated using both simulated and experimental bearing vibration signals. The results show that, the CSMM is capable of generating demodulation signals with higher resolution, and the optimal scale band demodulation based on the CSMM can reliably extract impulsive features for bearing defect diagnosis.     

A new-structure grey Verhulst model: Development and performance comparison

The structure defect of the traditional grey Verhulst model is a key factor leading to its unstable performance. A new-structure grey Verhulst model (N_Verhulst) was proposed by introducing a new non-homogeneous exponential function. The N_Verhulst model has a better structure and stronger modeling ability; Meanwhile, it overcomes the shortcomings of the traditional Verhulst model including parameter dislocation and unreasonable selection of initial values. Four typical cases were used to test the performance of N_Verhulst, and the simulation/prediction results of the new model were compared with the traditional Verhulst model and the Pearl model. Results showed that the N_Verhulst model had evidently superior performance to the traditional grey Verhulst model, which confirms that the structure development of the new model is reasonable and effective.     

移动随机荷载作用下梁桥非平稳随机振动的PEM-FFT方法

针对移动随机载荷作用下桥梁结构非平稳随机振动问题,建立了一种基于频域分析的虚拟激励-傅里叶变换方法(PEM-FFT)。与通常的非平稳随机振动的时频分析方法不同,提出的方法完全在频域上执行。其主要特色是能够给出随机输入与随机输出的频域关系,表明移动载荷作用下结构非平稳随机振动分析仅需对载荷的确定性移动函数项进行计算。数值算例考虑了等截面/变截面简支梁受移动随机载荷作用的问题,首先与通常的时频分析方法进行对比,验证了PEM-FFT方法的正确性和有效性,进一步讨论了不同结构形式以及不同载荷移动速度对响应演变统计量的影响。     

Response surface methodology to optimize gradient ion chromatographic separation of inorganic anions and organic acids in tobacco leaves

The separation optimization of nine organic and inorganic anions in tobacco leaves using gradient ion chromatography by response surface methodology was investigated.In order to achieve this goal the usefulness of the chromatographic response function(CRF) for the evaluation of the two different chromatographic performance goals(resolution and analysis time) was tested. The experiments were performed according to a Box-Behnken design response surface experimental design.     

固-固有限周期声子晶体中SH波全反射隧穿的机理

利用边界条件推导出SH波在一维固-固有限周期声子晶体中的转移矩阵,并用倏逝波的概念和多波束干涉理论,从理论上解释了一维固-固有限周期声子晶体全反射隧穿效应产生的物理机理,得出了全反射隧穿峰带波长满足的解析公式。利用解析公式和转移矩阵研究了一维固-固有限周期声子晶体中SH波的全反射隧穿效应,结果发现两种方法得出的结论是吻合的。