四边形的两个优美性质

文[1]发现了平面四边形涉及"内心"的两个美妙性质,受其启发,本文得到关联"旁心"的两个同样优美的类似结论.     

12参双参数矩形板元的误差估计

双参数方法是构造高阶问题有限元的有效方法．以此方法构造的双参数元是一种非标准元，以往文献中只证明了它的收敛性．此文针对具体12参双参数矩形板元给出它的误差估计式，并分析了节点参数的扰动量．文中的分析方法也适合于其它双参数矩形板元的误差估计．     

New method to solve electromagnetic parabolic equation

This paper puts forward a new method to solve the electromagnetic parabolic equation （EMPE） by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convo- lution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing ana- lytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.     

基于非线性本构关系的软管编织增强层等效刚度修正方法研究

基于Hachemi提出的金属编织层本构理论以及拉伸实验的研究方法,进行了不同尺寸金属编织软管的拉伸实验．发现金属编织层在拉伸时会出现强烈的结构非线性,而该理论不能在非线性段与实验结果相吻合．提出了对理论中编织层刚度矩阵修正方法,将金属纤维间交叠产生的接触等效地转化为“修正基体”,独立于金属纤维自身产生的刚度．同时,结合编织角在实验中呈现的变化趋势,提出管状金属编织层在等位移拉伸荷载下编织角呈线性变化的假设．这与Hachemi的假设恰好相反．Hachemi认为编织层受拉时,编织角减小到一定程度则会发生锁定现象．而实验证明了编织角并不会发生锁定．且直到编织层破坏为止,编织角变化的趋势基本呈线性．本文还提出了修正编织角变化的加速系数k,通过金属纤维间的侧向接触解释了实验与数值仿真结果中,力位移曲线与编织角变化曲线不能同时吻合的力学机理．     

工具痕迹鉴定中的光学技术研究

工具痕迹由于形成的原因不同，其表面形成的原因不同，其表面形貌呈现多样性，从尺度范围上，大致可分为两类；一类痕迹尺度范围较大，一般在毫米级以上，可称为宏观痕迹；第二类痕迹尺度范围较小，一般在微米级，可称为微观痕迹，利用光学投影，缩束显微，二维调制图像模数转换及低通滤波去噪算法，小波变换，智能模板相位复原等处理技术。可精确，快速地得到工具痕迹鉴定所需的形貌信息，这成为用于识别，诊断领域中的光学图像处理新技术。本文介绍上述技术特点。并且提供了典型的应用实例。     

ASYMPTOTIC DYNAMIC SOLUTION TO THE MODE PROPAGATING CRACK-TIP FIELD IN ELASTIC- VISCOPLASTIC MATERIAL

A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems.     

High－Power Blue Light Generation by External Frequency Doubling of an Optical Parametric Oscillator ＊

We report on an all-solid-state high-power quasi-continuous blue light source by the frequency doubling of asignal wave from an optical parametric oscillator (OPO). A 50-mm-long LiB305 (LBO) crystal is used for theOPO, which is pumped by a diode-pumped Nd:YAG green laser (1OkHz, 50ns). Tunable blue emission in a newnonlinear crystal BiB306 (BiBO) is obtained with a wavelength range from 450 to 495 nm. The average power ofthe signal output is as high as 9.3 W from 924 to 970nm. The maximum output of the blue laser with the secondharmonic walk-off compensation is 1.3W average power at 470nm for 6.2W of OPO signal light at 940nm.     

石墨烯谐振式力学量传感器研究进展

传统谐振式传感器的谐振敏感元件大多采用金属、石英晶体、硅等材料制成,但随着谐振式传感器朝着小型化、微型化、实用化的趋势发展,不但要求新型谐振子材料可进行微纳加工,还对其灵敏度和精度提出了更高的要求.石墨烯这种新型二维纳米材料,因具有出色的力学、电学、光学、热学特性,在谐振传感领域有着巨大的应用潜力和研究价值,因此基于石墨烯材料的力学量传感器有望在小型化、高性能和环境适应性等多方面超越硅基力学量传感器.本文针对石墨烯谐振式力学量传感器,介绍了石墨烯材料的基本性质、制备与转移方法,阐述了谐振式传感器的工作原理与应用特点,进而分析了关于石墨烯谐振特性优化与谐振器制备的理论与实验研究;在此基础上,重点总结了石墨烯谐振器在压力、加速度、质量等传感器领域的研究进展,梳理了石墨烯谐振式力学量传感器在薄膜转移、结构制备与激振/拾振等方面的技术问题,同时也明确了石墨烯在谐振传感领域的研究价值和发展潜力.     

The nonequilibrium phase transition and the symmetry revival induced by time delay in an asymmetric bistable system with correlated noises

The nonequilibrium phase transition and the symmetry revival induced by time delay in a bistable system are investigated. The stationary probability distribution function (SPDF) of the bistable system with time delay and correlated noises are calculated by an analytical method and stochastic simulation respectively. The analytical and simulative results indicate that: (1) There is a certain value of λ (λ denotes the strength of correlations between the multiplicative and additive noises) to make the SPDF symmetric under some time delay; however, above or below the given value, the symmetry will be broken; (2) With the monotonic change of λ , the unimodal peak structure of SPDF becomes bimodal at the beginning, then it becomes unimodal again; this means that there is a reentrance phenomenon in the process; (3) There is a critical value of delay time, which makes the lower peak of SPDF equal to the higher one under the critical condition. This means that the symmetry revival phenomenon emerges.     

Design, Fabrication and Test of a Soft X-Ray Even-Order Transmission Grating

Most transmission gratings in the x-ray region work with their first orders and dispersion is limited by the line density achievable with current fabrication technology. We present a novel design of a two-dimensional x-ray transmission grating. The grating works with higher dispersion using its second orders, and the influence from first and third orders can be suppressed. A grating according to the novel design is fabricated and its diffraction performance is tested in comparison with a traditional x-ray transmission grating with the same line density. The novel grating could be especially useful when high dispersion is desired while the fabrication of high-density gratings becomes more difficult.