A three-dimensional Eulerian method for the numerical simulation of high-velocity impact problems

In the present paper, a three-dimensional （3D） Eulerian technique for the 3D numerical simulation of high-velocity impact problems is proposed. In the Eulerian framework, a complete 3D conservation element and solution element scheme for conservative hyperbolic governing equations with source terms is given. A modified ghost fluid method is proposed for the treatment of the boundary conditions. Numerical simulations of the Taylor bar problem and the ricochet phenomenon of a sphere impacting a plate target at an angle of 60~ are carried out. The numerical results are in good agreement with the corresponding experimental observations. It is proved that our computational technique is feasible for analyzing 3D high-velocity impact problems.     

基于生物阻抗谱成像的生物组织检测方法

基于电阻抗成像技术和生物阻抗谱技术,提出一种面向生物组织检测的生物阻抗谱成像方法.该方法将目标区域可视化并精准识别目标种类,可用于肺癌早期检测,协助临床医生对早期肺癌进行精准检测,提高早期肺癌的治愈率.本文通过数值仿真的方法验证生物阻抗谱成像方法在肺癌早期检测中的可行性和有效性,仿真结果表明:1)生物阻抗谱成像方法可以实现早期肺癌区域的可视化,并精确判别出早期肺癌种类; 2)生物阻抗谱成像方法中阻抗谱的最佳采集模式是4次循环采集,最佳分类器是Linear-SVM, 5折交叉验证的平均分类准确率可以达到99.9%.为了验证仿真结果,本文选取3种具有不同电学特性的生物组织模拟癌变区域进行了检测.实验结果表明该方法可以对生物组织区域可视化,并判别出生物组织的种类.该方法可以兼顾电阻抗成像和生物阻抗谱方法的优点,有望用于肺癌早期检测.     

基于一维查找表的相移结构光实时相位计算

We propose a fast phase decoding algorithm based on a one-dimensional look-up table. Firstly, according to the property of the arctangent function in the phase calculation formula, the phase relationship between the four quadrants is obtained. A linear function is used to map the coordinate points in the first quadrant to a discrete integer interval, and a one-dimensional look-up table of phases is established in advance by combining the interval with the linear function. In the process of phase calculation, firstly, the index of the one-dimensional look-up table is calculated by using relevant information to directly obtain the phase value, and then the phase value is adjusted by the linear interpolation method and phase relationship to obtain the final real phase. Experiments have verified the effectiveness of the proposed algorithm. Compared with the traditional phase calculation method, the proposed method can improve the speed by 3.97 times, 1.29 times compared with the traditional polynomial approximation algorithm, and 1.20 times compared with the traditional one-dimensional look-up table algorithm.     

抑制相位测量轮廓术饱和误差相位融合算法

在相位测量轮廓术中,由于被测物体表面反射率过大,导致照相机捕获的图像中部分像素点强度值超过照相机的最大量化值,即光强度饱和。分析了光强度饱和引起的相位误差,提出一种相位融合算法。该算法通过查找归一化后的最大调制强度,提取其对应的相位,并将该相位作为三维重建的最终相位。实验结果表明,在理想情况及测量系统存在Gamma畸变时该算法均能有效地修复饱和误差。当测量系统存在Gamma畸变时,校正后相位误差均方根值相对于传统技术减小了58.86%。     

去杠杆化

巴菲特在评估一个公司竞争优势的质量和持续性时,会尽量避开那些大量使用杠杆来获取利润的公司。从短期来看。这些公司或许是只下金蛋的鹅,但最终它们将一无是处。雷曼兄弟等公司的轰然倒塌,留给了我们许多的思考,其中之一就是滥用杠杆的做法对许多企业提出了严正的警告：不要过度使用杠杆,否则后果不堪设想。     

无穷维空间中的Lyapunov函数方法和随机稳定性

在本文中，我们对Hilbert空间中随机发展方程的渐近稳定性问题的最新进展作一综述。     

基于像差影响的星间角距修正方法EI北大核心CSCD

为了有效地提高星模拟器的精度,针对经典星间角距数学公式没有考虑光学系统像差影响的问题,提出了一种基于像差影响的星间角距修正方法,建立了相关的数学模型并推导了相应的数学公式。并以球幕投影的星模拟器平台为例进行分析和实验测试,结合所建立的星间角距数学模型,对各星点的方位角和俯仰角进行曲线拟合,得到像差影响的星点位置误差拟合曲线,从而完成星间角距修正。实验结果表明,修正前星间角距误差为27.56″,修正后星间角距误差为16.96″,相对于修正前减小了10.60″。本文方法为有效提高星模拟器的仿真精度提供了理论基础。     

Fronts of Stress Waves in Anisotropic Piezoelectric Media

The characteristic of wave fronts in anisotropic piezoelectric media is analysed by adopting the generalized characteristic theory. Analytical expressions for wave velocities and wave fronts are formulated. Apart from the ordinary characteristics, a new phenomenon, energy velocity funnel, is formed on the wave fronts of quasitransverse waves in anisotropic piezoelectric materials. A three-dimensional representation of wave fronts in anisotropic piezoelectric materials is given for a better understanding of the new phenomena.