A miniature charged plate for testing charge accumulation in hard disk drives

A technique for monitoring electrostatic charge accumulation inside a hard disk drive (HDD) is described: a miniature charged plate is built into the top cover of the HDD, connected to a charged plate monitor. Experiments show that the miniature plate technique can be used for detection and measurement of the voltage induced by the charge generated inside the grounded enclosure of a hard drive.     

Correlation between Molecular Structure of Ferrocene Derivative and Impact Sensitivity of Fine‐AP/Ferrocene Derivative Mixture

On the basis of investigation of molecular structure characteristics of model ferrocene derivatives, the correlation between stability and molecular structure of double‐core ferrocene derivatives (DFDs) was studied. Then, the relation of stability of DFDs and impact sensitivity of fine‐AP/DFD mixtures was investigated. The results showed that the DFDs with methylene bridge group were more stable than those with methylethylidene bridge group. The stability order of the five DFDs was DEFM>EDFM≈BDFM>GFP>TBPF. The impact sensitivities of the fine‐AP/DFD mixtures were in inverse proportion to the stabilities of the DFDs.     

Closed-form solution for two collinear mode-III cracks in an orthotropic elastic strip of finite width

The problem of an orthotropic strip containing two collinear cracks normal to the strip boundaries is considered. The Fourier series method is used to reduce the associated boundary value problem to triple series equations, then to a singular integral equation, which can be solved analytically. Under remote uniform antiplane shear loading, the stress field and the crack sliding displacement are determined analytically and stress intensity factors are also given in a closed form.     

干涉条纹图处理的等值线窗口滤波和摄像测量在国防试验的应用

对图像进行滤波或称平滑是干涉条纹图像处理中的一项重要工作。一幅未经处理的原始图像或多或少存在着不同程度的噪声干扰,特别是散斑和Insar干涉条纹图,信噪比很低,难以处理。本文针对光测力学中光学干涉方法得到的条纹图,提出了一种新的滤波方法条纹等值线窗口滤波,并对这种滤波方法进行了研究讨论,提出了几种确定等值线窗口的不同方法。这种滤波方法根据干涉条纹图不同断面上灰度分布的不同特点,选择沿条纹走向的条纹等值线窗口进行滤波,在最大消除条纹图噪声的同时,也能保证对条纹损伤最小。摄像测量技术正在迅速发展和得到广泛应用,在国防试验和航天飞行任务中发挥着不可替代的作用。本文也介绍了作者近年来在该领域所做的应用研究,包括在火箭、导弹发射试验,冲击、碰撞等过程中的动态目标运动测量;针对航天航空和力学工程领域的视频图像实时分析;飞行器三维运动测量;基于投影条纹的物体三维形貌精密测量方法研究;以及对接航天器位置和姿态的实时测量。在这些应用中都实现了高精度测量。     

Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity

In this paper, we investigate the initial value problem (IVP henceforth) associated with the generalized Ostrovsky equation as follows: with initial data in the modified Sobolev space . Using Fourier restriction norm method, Tao's [k,Z]?multiplier method and the contraction mapping principle, we show that the local well‐posedness is established for the initial data with (k = 2) and is established for the initial data with (k = 3). Using these results and conservation laws, we also prove that the IVP is globally well‐posed for the initial data with s = 0(k = 2,3). Finally, using complex variables technique and Paley–Wiener theorem, we prove the unique continuation property for the IVP benefited from the ideas of Zhang ZY. et al., On the unique continuation property for the modified Kawahara equation, Advances in Mathematics (China), http://advmath.pku.edu.cn/CN/10.11845/sxjz.2014078b . Copyright © 2015 John Wiley & Sons, Ltd.     

Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on ℝ2

In this article, we investigate the initial value problem(IVP) associated with the defocusing nonlinear wave equation on ?² as follows:

$\{\begin{array}{l}{?}_{tt}u-\Delta u=-u^3,\\ u\left(0,x\right)=u_0\left(x\right),{?}_{t}u\left(0,x\right)=u_1\left(x\right),\end{array}$

where the initial data (u₀, u₁) ? H^s(?²) × H^s?1(?²). It is shown that the IVP is global well-posedness in H^s(?²) × H^s?1(?²) for any 1 > s > 2/5. The proof relies upon the almost conserved quantity in using multilinear correction term. The main difficulty is to control the growth of the variation of the almost conserved quantity. Finally, we utilize linear-nonlinear decomposition benefited from the ideas of Roy [1].     

On some conjectures on generalized quadratic Gauss sums and related problems

The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic methods and algebraic geometric methods. We prove two conjectures which were proposed recently by the above authors in a previous article (2022). Here we obtain an asymptotic formula for arbitrary power means of generalized quadratic Gauss sums and one corresponding power moment of a character sum.     

Generalized trigonometry and Chebyshev functions in finite fields

Trigonometry in finite fields was introduced by de Souza et al. and further developed by Lima and Panario and others, giving functions with many properties similar to trigonometric functions over the reals. Those explorations used a degree-2 extension of a base field. While this corresponds most closely to trigonometry over the reals, in finite fields we can have extensions of other degrees. In this paper we generalize the definitions of trigonometric functions and their related Chebyshev polynomials to arbitrary degrees and explore their properties. Many familiar results carry over into the generalized setting.     

To derive Lagrange equations of nonholonomic systems without using the Chetaev conditions

The present paper derives the equation of motion for a class of nonholonomic dynamical systems from the d’Alembert–Lagrange equation. In this paper, the relation dδ = δd is assumed only for those generalized coordinates whose variations are independent. For the remaining coordinates, the transpositional relations are derived by means of mathematics method, which are different from the Chetaev condition. Several examples are given.     

应用于PFN-Marx发生器重频充电的紧凑空心脉冲变压器

通过理论分析研究了一种高能量转换效率(高于50%)的紧凑重频空心脉冲变压器。这种脉冲变压器可以应用于PFN-Marx发生器的重频充电。通过深入分析脉冲变压器的等效模型,得到了脉冲变压器能量转换效率、次级电压峰值、初级电流峰值以及初级电流变化率最大值的表达式,并与Pspice软件的模拟结果进行比较。结果表明:理论计算的电压、电流波形与模拟计算结果基本一致,验证了理论分析的正确性。同时,通过理论分析得到了能量效率大于50%的脉冲变压器结构尺寸。