基于均匀化方法的单向纤维增强体渗透率预报

针对具有周期性分布细观结构的纤维增强体，从Stokes方程出发，用均匀化理论建立了预报纤维预制体渗透率的数学模型. 将Stokes方程与线弹性力学中的Lame方程进行类比，给出了用线弹性平面应变问题的有限元分析程序求解Stokes方程的方法. 据该方法编写了FORTRAN程序HAPS求解控制方程，并以此预报单向纤维增强体渗透率，与有关文献的结果进行比较证明了该方法的合理性.     

α次积分半群的扰动

在n次积分半群及一次积分半群扰动理论的基础上,探讨了α次积分半群的扰动性,得到了α次积分半群的扰动定理.     

The confirmation of a conjecture on disjoint cycles in a graph

Let $t$ and $k$ be two integers with $t\ge 5$ and $k\ge 2$. For a graph $G$ and a vertex $x$ of $G$, we use $d_G\left(x\right)$ to denote the degree of $x$ in $G$. Define ${\sigma }_t\left(G\right)$ to be the minimum value of ${\sum }_{x\in X}{d}_G\left(x\right)$, where $X$ is an independent set of $G$ with $\left|X\right|=t$. This paper proves the following conjecture proposed by Gould et al. (2018). If $G$ is a graph of sufficiently large order with ${\sigma }_t\left(G\right)\ge 2kt?t+1$, then $G$ contains $k$ vertex-disjoint cycles.     

Analysis of generalized projective synchronization for a chaotic gyroscope with a periodic gyroscope

In this paper, a simple nonlinear controller is applied to investigate the generalized projective synchronization for a controlled chaotic gyroscope with a periodic gyroscope dynamical system. The necessary and sufficient conditions for generalized projective synchronization are developed through the theory of discontinuous dynamical systems. The synchronization invariant domain from the synchronization conditions is presented. The parameter maps are explored for a better understanding of the synchronicity of two gyroscopes with different motions. Finally, the partial and full generalized projective synchronizations of two nonlinear coupled gyroscope systems are carried out to verify the effectiveness of the scheme.     

Coordinated motion of Lagrangian systems with auxiliary oscillators under cooperative and cooperative–competitive interactions

Nonlinear Dynamics - The present paper investigates coordinated oscillatory motion of networked Lagrangian systems under diverse interactions. Based on two new auxiliary oscillator systems, we...     

Synthesis of sodium titanium phosphate at ultra-low temperature

Powders of the Nasicon material NaTi₂(PO₄)₃ were directly synthesized at ultra-low temperature. NaTi₂(PO₄)₃ was obtained by mixing the initial reagents titanium hydroxide, 85 % H₃PO₄, and NaH₂PO₄·2H₂O at 85 °C for 3.5 h or at 125 °C for 1.5 h. The raw materials and synthesized products were characterized for purity, crystal structure, particle size, and powder morphology by thermogravimetric analysis, differential scanning calorimetry, X-ray diffraction (XRD), Fourier-transform infrared spectroscopy, scanning electron microscopy (SEM), and UV–visible diffuse reflectance spectroscopy. XRD results revealed that NaTi₂(PO₄)₃ powders with rhombohedral crystal structure were synthesized at 85 and 125 °C. SEM patterns showed that the as-prepared products were agglomerated and that each of the agglomerations consisted of many small grains 50–80 nm in diameter.     

Synchronization of a periodically forced Duffing oscillator with a periodically excited pendulum

In this paper, the analytical conditions for a periodically forced Duffing oscillator synchronized with a chaotic pendulum are developed through the theory of discontinuous dynamical systems. From the analytical conditions, the synchronization invariant domains are developed. For a better understanding of synchronization of two different dynamical systems, the partial and full synchronizations of the Duffing oscillator with the chaotic pendulum are presented for illustrations. The control parameter map is developed from the analytical conditions. Under special parameters, the two systems can be fully and partially synchronized. Since the forced pendulum has librational and rotational chaotic motions, the periodically forced Duffing oscillator can be synchronized only with the librational chaotic motions of the pendulum. It is impossible for the forced Duffing oscillator to be synchronized with the rotational chaotic motions.     

Ruthenium-catalyzed direct amination of alcohols with tertiary amines

A highly selective phosphine-based ruthenium catalyst system efficiently catalyzes the direct amination of alcohols with aliphatic tertiary amines, yielding unsymmetric tertiary amines in yields up to 87%. Ligand and solvent both affect the reaction yields significantly. The reaction can be performed with a wide variety of functionalities.     

宽带铁磁流体电动式声源

本文阐明了铁磁流体电动式声源的换能机理．我们详细地研究了它的磁路结构，及在振动活塞上安置一个大的橡皮充气球泡，它能提高低频的辐射效率．这声源具有4个倍频程的低频宽带发射响应     

Palladium-catalyzed desulfitative addition of sodium sulfinates with α,β-unsaturated carbonyl compounds

A palladium-catalyzed desulfitative conjugate addition of sodium sulfinates with α,β-unsaturated carbonyl compounds is described. The reaction showed very good selectivity and tolerated a wide range of functionalities under an atmosphere of argon.