旋转体时域有限差分法的另一推导方法和单向波方程吸收边界条件

提出了旋转体时域有限差分法的另一推导方法.基于这一方法,推导了旋转体电磁波的波动方程,进一步得出了旋转体时域有限差分法的单向波方程吸收边界条件.数值实验证实了该吸收边界条件的正确性.     

关于模的最大有理扩张

ｉ）设Ｍ_ｉ为一族左Ｒ－模,记Ｍ_ｉ为Ｍ_ｉ的最大有理扩张,本文首先考察了∑⊕Ｍ_ｉ和∑⊕Ｍ_ｉ之间的关系,并证明了如对环Ｒ上任何一族模上述两者相等的充要条件是环Ｒ上每一个模都有理完全．ｉ）利用ｉ）研究了无零因子环上模的最大有理扩张,得到了一些结果．     

Finite-time chaos control via nonsingular terminal sliding mode control

This paper considers the nonsingular terminal sliding mode control for chaotic systems with uncertain parameters or disturbances. The switching surface is designed technically to realize fast convergence. The controller derived from such switching surface is nonsingular and it can stabilize the chaotic systems in a finite time. Besides the second-order system and the triangular system, the proposed method can also be applied to a general class of uncertain nonlinear system. Finally, simulation results are presented to illustrate the effectiveness of the design.     

Effect of viscosity on stability and accuracy of the two-component lattice Boltzmann method with a multiple-relaxation-time collision operator investigated by the acoustic attenuation model

A two-component lattice Boltzmann method (LBM) with a multiple-relaxation-time (MRT) collision operator is presented to improve the numerical stability of the single relaxation time (SRT) model. The macroscopic and the momentum conservation equations can be retrieved through the Chapman—Enskog (C-E) expansion analysis. The equilibrium moment with the diffusion term is calculated, a diffusion phenomenon is simulated by utilizing the developed model, and the numerical stability is verified. Furthermore, the binary mixture channel model is designed to simulate the sound attenuation phenomenon, and the obtained simulation results are found to be consistent with the analytical solutions. The sound attenuation model is used to study the numerical stability and calculation accuracy of the LBM model. The simulation results show the stability and accuracy of the MRT model and the SRT model under different viscosity conditions. Finally, we study the influence of the error between the macroscopic equation of the MRT model and the standard incompressible Navier—Stokes equation on the calculation accuracy of the model to demonstrate the general applicability of the conclusions drawn by the sound attenuation model in the present study.     

Applications of solid-phase microextraction to chemical analysis of live biological samples

This work reviews some recent applications of solid-phase microextraction (SPME) for the chemical analysis of live biological samples. Application of SPME to microbiological analysis, organic volatile compounds emitted by vegetables and insect semiochemicals will be discussed. A short discussion on the principles and the basic parameters of SPME is also included.     

气相色谱-负化学源质谱法测定蔬菜中17种拟除虫菊酯类农药残留量

建立了气相色谱-负化学源质谱检测蔬菜中17种拟除虫菊酯类农药残留量的方法。样品中的目标物经乙腈提取后,用乙二胺-N-丙基甲硅烷(PSA)和石墨化炭黑填料进行分散固相萃取净化,气相色谱-负化学源质谱选择离子监测模式测定,同位素内标法定量。在甜豌豆、绿花菜和大葱基质中均未见干扰所有农药测定的现象。17种拟除虫菊酯类农药的定量限均为0.02～5 μg/kg。在10、20、30和100 μg/kg等4个添加水平下,所有农药的回收率均为71.0%～139.0%,相对标准偏差≤12.8%。该方法可作为蔬菜中17种菊酯类农残检测的确证方法。     

Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

In this paper, we investigate the impulsive synchronization between two coupled complex networks with time-delayed dynamical nodes. Based on the Lyapunov stability, the linear feedback control and the impulsive control theories, the linear feedback and the impulsive controllers are designed separately. By using the generalized Barbalat's lemma, the global asymptotic impulsive synchronization of the drive—response complex networks is derived and some corresponding sufficient conditions are also obtained. Numerical examples are presented to verify the effectiveness and the correctness of the synchronization criteria.     

BCS-BEC渡越过程超流费米气体在线性变化势中的集体激发

基于超流流体力学方程组和标度理论,数值研究了Bardeen-Cooper-Schrieffer (BCS)-Bose-Einstein Condensate (BEC)渡越过程中超流费米气体在线性减小谐振子势下的集体激发.详细研究了包括谐振子势频率线性减小的速度,减小到的幅度以及势阱各向异性参数对集体激发的影响.通过频谱分析和数据拟合,分别研究了各向同性势和各向异性势下在最小振幅激发下所对应的模式,且数值计算得到的频率值在整个BCS-BEC渡越过程中与前期的理论结果符合得很好.该工作可以为后面超流费米气体集体激发的实验提供有益的理论参考     

独立自由曲面LED汽车前雾灯的光学设计

为了使车辆驾驶员在雾、雪、雨或者尘埃等不同的恶劣气象条件下能够得到充分照明, 且避免造成对方会车司机炫目, 设计了具有明暗截止线的前雾灯系统。基于非成像光学理论, 采用照度优化设计法, 运用数值计算求解出自由曲面反射镜(FFR)各个点坐标的坐标值。合理划分基础面, 并调整各子块的扩散角度, 实现配光要求。通过蒙特卡洛模拟法进行追迹光线, 测试结果表明:配光效果满足机动车前雾灯配光性能(GB4660-2016)对各测试点的照度要求, 且明暗截止线清晰, 体积小, 边缘区域也有较高光能, 光线利用率达到52.7%。     

无限流体中孔隙介质圆柱周向导波的传播特性

为研究无限大流体约束的孔隙圆柱中周向导波的传播规律,分析孔隙参数对导波传播特性的影响,建立了无限流体中孔隙介质圆柱的理论模型,利用孔隙介质弹性波动理论,建立了周向导波频散方程,通过数值模拟计算得到无限流体中孔隙介质圆柱的频散曲线,探讨了圆柱半径和孔隙参数对导波传播特性的影响,并对导波的衰减特性进行了分析;通过数值计算,得到了周向导波的时域波形,讨论了孔隙参数对波形的影响.结果表明,孔隙介质圆柱半径的改变影响圆柱尺度,孔隙度的改变影响孔隙介质中体声波的波速,都对周向导波频散曲线产生一定的影响,所得到的频散曲线特征及衰减曲线与时域波形吻合.研究结果对开展无限流体中孔隙介质圆柱的超声无损评价提供了一定的理论参考.