BP神经网络在三次有理B样条曲面近似等距面中的应用研究

利用改进的BP神经网络构造三次有理B样条曲面等距面。训练成功后的神经网络可作为描述自由曲面的模型,利用它能够产生任何需要的点。实际证明,该方法简单、有效。     

自由曲面修形技术在民机翼身组合体上的应用

翼身结合处的整流在民机气动中有很重要的作用,需要设计合适的外形以调整机翼上表面的压力分布及翼身结合处的气流,达到提高大型民用客机翼身组合体气动性能的目的.基于CATIA的自由曲面修形技术,采用自由曲线B样条的参数化方法,综合考虑工程约束(起落架布局),对民机构型翼身结合处进行了整流设计,并采用求解N-S方程的方法计算样...     

基于FFD技术的大型运输机上翘后体气动优化设计

利用非均匀有理B样条(NURBS)基函数属性建立了任意空间的自由变形(FFD)参数化方法,进一步结合无限插值(TFI)变形网格技术、二阶振荡粒子群优化(PSO)算法以及计算流体力学(CFD)数值模拟技术,构建了通用的气动外形优化设计系统.采用该系统对C17运输机上翘后体进行气动优化设计,在满足后体最大宽度、高度以及上翘角不减小的情况下,巡航状态减阻2.6％,压差阻力减小19.8％.流态分析显示,优化后体阻力减小的主要原因是后体截面近圆度的增加以及近圆度沿机身轴线的变化量的减小使得后体周向逆压梯度减小所致.研究结果表明本文建立的基于FFD技术的气动优化设计系统对于大型运输机上翘后体的气动优化设计具有较好的实用性.     

Positron nonextensivity contributions on the rational solitonic,periodic, dissipative structures for MKP equation described critical plasmas

New closed forms have been exposed that rational, trigonometric, periodical, explosive, hyperbolic and shock solutions can be usable in the ionosphere plasma of earth. To explore the nonextensive impacts on the features of nonlinear waves in this plasma model, using Riccati-Bernoulli sub-ODE process, the MKP equation has been solved. This method is very important in the study of dynamics and motion in fluids. Some of the obtained new potential solutions are prefect achievements in plasma observations and applications in ionosphere.     

The spatio-spectral localization approach to modeling VTEC over the western part of the USA using GPS observations

The precise ionosphere modeling is crucial and remains a challenge for GPS positioning and navigation, as well as many other Earth observation systems. In this research, two approaches have been proposed to model the vertical total electron content (VTEC) of the ionosphere using spherical slepian function. For the two-dimensional case, VTEC has been modeled in a sun-fixed reference frame and the three-dimensional approach based on the system of the three-dimensional base functions has been defined as the tensor product of the spherical slepian function for the longitude and latitude in an Earth-fixed reference frame, and the polynomial B-spline function for time. Rather than the spherical harmonics, the spherical slepian functions can be employed to produce the locally and globally orthogonal bases to optimally represent the data in any arbitrary region up to a given degree. The spherical slepian functions have been applied to the real data obtained from the ground-based GPS observation across the western part of the USA.     

单点金刚石车削非球曲面测量数据样条拟合算法研究

在分析离散数据插值与逼近方法的基础上,讨论了B-样条拟合算法;并针对超精密非球曲面的测量数据,分析了B-样条拟合算法的拟合误差与阶次的关系,同时与多项式最小二乘拟合做了比较.对比结果表明,B-样条拟合能达到更高的精度,并建议在非球曲面拟合中采用4阶次B-样条、51个控制节点,能达到较好的拟合效果.     

Regional 4-D modeling of the ionospheric electron density from satellite data and IRI

Accurate knowledge of the electron density is the key point in correcting ionospheric delays of electromagnetic measurements and in studying ionosphere physics. During the last decade Global Navigation Satellite Systems (GNSS) have become a promising tool for monitoring ionospheric parameters such as the total electron content (TEC). In this contribution we present a four-dimensional (4-D) model of the electron density consisting of a given reference part, i.e., the International Reference Ionosphere (IRI), and an unknown correction term expanded in terms of multi-dimensional base functions. The corresponding series coefficients are calculable from the satellite measurements by applying parameter estimation procedures. Since satellite data are usually sampled between GPS satellites and ground stations, finer structures of the electron density are modelable just in regions with a sufficient number of ground stations. The proposed method is applied to simulated geometry-free GPS phase measurements. The procedure can be used, for example, to study the equatorial anomaly.     

非均匀流场中燃油浓度测量的试验技术

本文设计了在非均匀流场中,能同时测量其速度分布、浓度分布和温度分布的取样感头,建立了相应的测试系统,分析讨论了该系统的测量精度及其影响因素。在常温和高温气流作用下,测量了非均匀流场中燃油浓度分布、速度分布及温度分布。燃油浓度在常温时误差在±10％以内,高温时误差在±6％以内。     

一般数据集的C^2有理保形插值

给出了一种适用于一般数据集的有理保形插值函数，其在每个子区间上是一个不超过三次的有理多项式，在整个区间上是C^2连续的。S（x）可保持数据集的凸凹性和拐点性质以及局部单调性。在满足保形性和C^2连续性的前提下，S（x）在插值节点处的一阶导数可在一定范围内自由选取，因而，可利用其调整插值曲线的形状，以获得最佳设计效果；也可以利用其满足其他要求，如可选取S(x）在节点处的一阶导数值，使其在任何情况下都可保证与被插函数在节点处的一阶导数有较高的逼近阶，从而使S(x）与被插函数有较高的逼近阶。本文中构造有理C^2保形插值的算法简单，计算量极小，优于现有文献中的保形插值算法。     

一类二维样条函数的最佳误差估计

本文对一类非均匀二维插值样条的研究,得出了矩形域R上双三次插值样条函数x(u,w),当满足条件时,在矩形域R边界上节点处的三阶和四阶混合偏导数的估计式,推广了均匀分划情形的结果,获得了精确的误差估计。