星体径向弦长积分

我们引入星体的径向弦长积分的概念,并研究了它的性质．作为它的应用,建立了径向弦长积分的循环不等式、Brunn-Minkowski型不等式和对偶Bieberbach型不等式．     

3D anisotropy measurement methodology for surface microstructures

We propose a simple method able to quantify three‐dimensional (3D) anisotropy in topographic microstructure measurements. The anisotropy quantification of 3D surface data is based on a horizontal‐cut analysis yielding level sets. For a specific level set, we study xy anisotropy with the use of a directional chord length analysis. In the height profile direction, the z direction, anisotropy is quantified using the framework of mean Euler characteristic and more generally that of Minkowski functionals. We exemplify the method with the use of 3D heights profiles from atomic force microscopy measurements. Copyright © 2012 John Wiley & Sons, Ltd.     

凸域内两点间的平均距离

本文研究了凸域内两点间的平均距离公式,利用广义支持函数的方法分别求出了圆、矩形、椭圆域内两点间的平均距离,并给出了具体的求解过程.     

SOME NEW RESULTS ON THE CHORD METHOD AT SINGULAR POINTS

In this paper, we prove that the chord method and the modified chord method are also convergent to the solution x~(?) of F(x)=0 if the dimension of the null space of F'(x~(?)) is>1.     

Reconstructing Boundary Points of Convex Sets from X-ray Pictures

A method for the reconstruction of boundary points of convex sets is provided starting from three X-ray pictures in two orthogonal directions and from a point.     

两种不同弦长螺旋桨的风洞试验及分析

本文介绍了两种不同弦长螺旋桨的风洞试验结果。试验在西北工业大学NF-3风洞的三元试验段进行,试验风速分别为V=20m/s、30m/s和40m/s,每个风速下,螺旋桨旋转速度为:900r/min、1200r/min、1500r/min、1800r/min、2100r/min、2400r/min、2700r/min、3000r/min、3300r/min、3600和3900r/min。风洞试验结果表明:当两种螺旋桨的翼型相同、桨叶角沿径向分布相同,但弦长沿径向的分布不同时,它们的拉力、扭矩、功率、效率以及前进比会有显著区别。其中,1#螺旋的弦长大于2#螺旋桨,在相同的试验风速和螺旋桨转速下,1#螺旋桨的拉力、扭矩和功率高于2#螺旋桨,但效率低于2#螺旋桨。