C1四次Pythagorean Bézier样条曲线的构造

根据PH曲线的定义,构造了Bézier形式的四次PH曲线,亦称之四次Pythagorean Bézier速端曲线(PB曲线),研究了四次PB曲线特征性质,构造了它的一阶Hermite插值曲线,得到了C1四次Pythagorean Bézier样条曲线。     

Andes上空中间层和低热层中大气惯性重力波的激光雷达观测

利用Andes观测站(30. 3°S,70. 7°W)激光雷达2016年6月8～9日共11. 6 h的风场、温度以及钠原子数密度的观测数据,研究了一个在中间层顶区域惯性重力波活动事件。谱分析表明,这个惯性重力波的周期约6. 6 h,垂直波长约7. 5 km,水平波长约826 km。根据矢端曲线法分析发现,此惯性重力波的传播方向大约为西偏北38. 6°。计算出它的垂直群速度约0. 2 m·s~(-1),水平群速度约22. 9 m·s~(-1)。射线追踪结果表明,上传惯性重力波可能来自于平流层的急流区域。虽然该惯性重力波不能达到不稳定性的阈值,但是理查德森数和浮力频率显示,由于不同扰动分量的叠加,导致了在一些高度和时间上,动力学的发生和对流不稳定性的存在。因此,叠加效应引起的不稳定性可能会对中间层-低热层中波的饱和度和幅度约束有显著影响。同时利用重力波偏振关系和惯性重力波纬向风扰动,计算出了经向风、温度和大气密度扰动,同时观测的经向风和温度扰动与计算的结果一致,表明观测到的准单色惯性重力波能很好满足重力波偏振关系。另外,计算得到的大气密度扰动与观测的钠原子数密度扰动相位一致,证实了中间层-低热层区域的钠原子可以作为重力波的示踪物。     

Hodograph computation and bound estimation for rational B-spline curves

It is necessary to compute the derivative end estimate the bound of rational B-spline curves in design system,which has not been studied to date.To improve the function of computer aided design (CAD) system,end to enhance the efficiency of different algo- rithms of rational B-spline curves,the representation of scaled hodograph and bound of derivative magnitude of uniform planar rational B- spline curves are derived by applying Dir function,which indicates the direction of Cartesian vector between homogeneous points,discrete B-spline theory end the formula of translating the product into a summation of B-spline functions.As an application of the result above, upper bound of parametric distance between any two points in a uniform planar rational B-spline curve is further presented.     

Hodograph computation and bound estimation for rational B-spline curves

It is necessary to compute the derivative and estimate the bound of rational B-spline curves in design system, which has not been studied to date. To improve the function of computer aided design (CAD) system, and to enhance the efficiency of different algorithms of rational B-spline curves, the representation of scaled hodograph and bound of derivative magnitude of uniform planar rational B-spline curves are derived by applying Dir function, which indicates the direction of Cartesian vector between homogeneous points, discrete B-spline theory and the formula of translating the product into a summation of B-spline functions. As an application of the result above, upper bound of parametric distance between any two points in a uniform planar rational B-spline curve is further presented.     

大功率提升机差动调速初探

矿井提升机的拖动电动机容量一般是很大的．为了实现对大功率提升机的速度控制，现在的提升机采用交流电动机或直流电动机拖动．然而交流电动机不能得到准确的直边速度，直流电动机虽然调速性能好，但大容量直流电动机成本太高，两者都有其缺陷．本文推荐采用差动调速传动，能较好地解决上述问题。差动调速同时又可满足微拖动的要求．