角度非均匀材料平面V形切口应力奇性分析

提出了一种确定角度非均匀材料平面V形切口尖端应力奇性指数的有效方法。首先,在弹性力学基本方程中引入V形切口尖端位移场的级数渐近展开,建立以位移为特征函数的变系数和非线性微分方程组。然后,采用微分求积法(DQM)求解微分方程组,可得到多阶应力奇性指数及其相对应的特征函数,该法具有公式简单、编程方便、计算量少和精度高等优点,可处理任意开口角度和任意材料组合的V形切口。典型算例验证了微分求积法的有效性和精确性。     

焊条药皮中稀土氧化物向焊缝中过渡机制的研究

通过向焊条药皮中加入稀土氧化物的方法，研究了在焊条药皮中加入不同种类、不同含量的稀土氧化物对焊缝金属低温冲击韧性、显微组织以及扩散氢含量的影响。实验表明，在焊条药皮中添加适量的稀土氧化物可以细化焊缝组织、增加针状铁素体的含量、提高焊缝金属的低温冲击韧性和降低焊缝中扩散氢含量，这是一种经济有效的向熔池中过渡稀土元素的方法，可以在焊接材料中发挥稀土元素的特殊作用。从焊接冶金的角度出发，深入研究了焊条药皮中稀土氧化物向熔池中过渡稀土元素的机理、规律及其影响因素。研究表明，焊条药皮中的稀土氧化物在熔滴的高温阶段可以分解出稀土活性原子并过渡到熔池中，参与焊接冶金反应，对焊接熔池起到进一步脱硫去氧的作用。     

中厚扁壳断裂问题的特征根及特征函数

证明了含任意切口、任意切口边界的多材料中厚扁壳问题的特征根等于相应的平面切口问题和平板弯曲切口问题两部分的特征根组合。进而证明了中厚扁壳切口问题的特征根等于相应反平面切口问题和平面切口问题的组合。中厚扁壳切口问题的特征根及其对应的0级特征函数均可直接按相应的两类基本问题（反平面切口问题和平面切口问题）进行求解。     

Effects of V-shaped edge defect and H-saturation on spin-dependent electronic transport of zigzag MoS2 nanoribbons

Based on nonequilibrium Green's function in combination with density functional theory calculations, the spin-dependent electronic transport properties of one-dimensional zigzag molybdenum disulfide (MoS₂) nanoribbons with V-shaped defect and H-saturation on the edges have been studied. Our results show that the spin-polarized transport properties can be found in all the considered zigzag MoS₂ nanoribbons systems. The edge defects, especially the V-shaped defect on the Mo edge, and H-saturation on the edges can suppress the electronic transport of the systems. Also, the spin-filtering and negative differential resistance behaviors can be observed obviously. The mechanisms are proposed for these phenomena.     

Nonlinear dynamic analysis of a V-shaped microcantilever of an atomic force microscope

This paper is devoted to investigate the nonlinear behaviors of a V-shaped microcantilever of an atomic force microscope (AFM) operating in its two major modes: amplitude modulation and frequency modulation. The nonlinear behavior of the AFM is due to the nonlinear nature of the AFM tip–sample interaction caused by the Van der Waals attraction/repulsion force. Considering the V-shaped microcantilever as a flexible continuous system, the resonant frequencies, mode shapes, governing nonlinear partial and ordinary differential equations (PDE and ODE) of motion, boundary conditions, frequency and time responses, potential function and phase-plane of the system are obtained analytically. The governing PDE is determined by employing the Hamilton principle. Subsequently, the Galerkin method is utilized to gain the governing nonlinear ODE. Afterward, the resulting ODE is analytically solved by means of some perturbation techniques including the method of multiple scales and the Lindsted–Poincare method. In addition, the effects of different parameters including geometrical one on the frequency response of the system are assessed.     

A V-shaped spectroscopic cell for FTIR measurements

A V-shaped spacroscopic cell（V-cell） was constructed using two CaF₂ optical plates for FTIR light transparent measurements in the range of 4000-1000 cm^-1.The spectrum of ethanol was characterized with the standard spectra,excellent fitting was achieved with a bottom-width correction method.The principle of the V-cell was discussed,giving equations for the data interpretation.It shows that the V-cell is an auto-focus type spectroscopic cell,which can effectively avoid absorption saturation with amplifications for weak absorption bands.The V-cell design is simple and effective,easy to operate,suitable for applications in liquid samples with high absorption bands,willing to have broad application prospects.     

The linear and nonlinear intersubband optical absorption coefficients and refractive index changes in a V-shaped quantum well under the applied electric and magnetic fields

In this study, the changes in the optical absorption coefficients and the refractive index in a V-shaped quantum well have investigated theoretically. Within the effective mass approximation, the electronic structure of the V-shaped quantum well is calculated by numerical methods from the Schrödinger equation. Optical properties are obtained using the compact density-matrix approach. In the present work, the linear, third-order nonlinear and total absorption and refractive index changes investigated as a function of the quantum well width, the incident optical intensity, strengths of the magnetic and electric fields. Our results show that the magnetic and electric fields strengths, the quantum well width and incident optical intensity have a great effect on the optical characteristics of these structures.     

利用凹槽滤波引导混沌系统到周期解

通过对混沌动力系统增加一个线性的反馈控制器——凹槽滤波器,引导一大类系统从混沌运动转化为期望的低周期运动.基于混沌的微扰判据——Melnikov方法,解释了该方法实现混沌控制的数学物理机理.控制仿真结果表明,该方法简单而实用,具有良好的应用前景,并能控制超混沌系统 关键词： 混沌控制 凹槽滤波 Melnikov方法     

微重力环境下V型层流预混火焰锋面不稳定性分析

本章试图寻求描述火焰锋面动态特性的方法，以解释微重力环境下出现的V型火焰锋面的涟漪现象。采用线性稳定性理论从经典的G方程中导出了描述火焰锋面动态结构的一阶偏微分方程。采用该方程计算了声波扰动后，不同时刻的V型火焰锋面的动态结构．对于谐波扰动，其频率与波数的关系是分析固有火焰锋面不稳定性的基础。因此，微重力环境下V型火焰锋面的不稳定性可能是声波与谐波相耦合的结果。     

Single machine scheduling with randomly compressible processing times

This work is concerned with single machine scheduling with random compression of processing times. The objective is to find the optimal sequence to minimize the cost based on earliness, tardiness and compression. The analysis is carried out under a common due date. Both absolute derivation cost and squared derivation cost are considered. For both constrained problems and unconstrained problems, it is shown that an optimal schedule must be V-shaped. Remarks on common slack model is also provided.