一类有理参数三次曲线的形状分析(英文)

一条有理参数三次 H-样条曲线是由一组控制顶点和两顶点连线上的百分比参数所确定。移动一个顶点仅影响三段曲线。有理 H-样条具有许多类似于 B-样条曲线的性质 ,也有 B-样条不具有的性质。本文是在文 [1 ]基础上的继续和发展 ,主要对有理 H-样条曲线的形状进行分析 ,讨论其诸如拐点和奇点的几何特征 ,给出有理参数平面三次 H-样条曲线在非退化情况下有拐点的充要条件 ,并证明在区间 ( 0 ,1 )内曲线段无奇点的结论。为了便于对参数曲线段的形状控制和几何特征的进一步认识 ,在许多的实际应用中 ,需要分析参数曲线段上有无多余拐点和奇点 ,如果有就要消除它。故本文的研究结果无论对理论或实际应用都非常重要。     

运八起落架上采用耐久性设计更改的分析

介绍了运八起落架延寿过程中采用了耐久性设计典型范例11项,实施于起落架设计的改进和制造。包括:高强度钢构件的注油嘴、管状结构件、高应力花键镀铬表面在镀前进行喷丸、U形接头防腐措施、采用光弹修形控制应力水平、采用喷丸强化、重要模压件表面加工、重要焊接件焊缝加工、采用防氧化处理、改进防腐措施等。经过疲劳试验验证,其效果是极其显著的。     

基于B样条的气动反设计遗传算法研究

在气动反设计中引进了基于自然选择和生物遗传机制的遗传算法，针对遗传算法的搜索原理和气动外形特点，提出了与之相适应的Ｂ样条基因表达，构造了均匀变异与非均匀变异相结合的自适应变异算子，提出了用于优化设计的适应函数，发展了一种小种群演化方法。文中并以全位势方程求解程序为例，进行了翼型重构反设计，验证了本方法的可行性，然后在此基础上进行了基于阻力极小的优化设计，取得了令人满意的结果。     

三元二次样条函数及其计算（Ⅱ）——计算机表示

关于高维数据拟合提出两种计算方法，用各种实例在计算机上计算，给出了等值面图形绘制方法，直观地表示高维空间曲面。应用实例表明，有杉本方法进行四维数据插春效果令人满意，铁于微机实现，等值面绘制快速精确。     

Trajectory Estimation with Multi-range-rate System Based on Sparse Representation and Spline Model Optimization

The classic state methods for trajectory estimation in boost phase with multi-range-rate system include method of point-by-point manner and that of spline-model-based manner. Both are deficient in terms of model-approximation accuracy and systematic error determination thus resulting in the estimation errors well beyond the requirements, especially, concerning the maneuvering trajectory. This article proposes a new high-precision estimation approach based on the residual error analysis. The residual error comprises three components, i. e. systematic error, model truncation error and random error. The approach realizes self-adaptive estimation of systematic errors in measurements following the theory of sparse representation of signals to minimize the low-frequency components of residual errors. By taking median- and high-frequency components as indexes, the spline model-approximation is improved by optimizing node sequence of the spline function and the weight selection for data fusion through iteration. Simulation has validated the performances of the proposed method.     

用变形模型整体构造B样条曲面方法研究

传统的造型方法都是基于纯粹的几何模型,通过几何上的型值点或边界曲线定义曲线或曲面,难于进行交互修改.基于物理模型的变形曲线、曲面造型方法将参数化几何描述方法与力学原理结合起来,使曲线曲面变形形态在一定程度上与弹性梁和薄壳相似.设计者可以通过施加于变形曲线曲面上的力或约束,或改变曲线曲面本身刚度来改变其局部或整体形状,克服了局部控制与总体光顺的矛盾.该造型方法已在光顺、N边域构造以及曲面的光滑拼接和过渡面构造等领域得到应用.      

基于拟合建模的振动削波数据预测恢复

针对振动测量数据超出测量系统原始设定范围造成的数据削波现象,介绍了回归分析和三次样条插值两种拟合方法.通过对测试数据进行建模预测的实例比较可知三次样条插值法的误差较小,应用此方法对飞机振动削波曲线进行恢复,可得到满意结果.     

Polynomial Representation of NURBS and Its Application to High Frequency Scattering Prediction

This article presents a method that uses physical optics (PO) techniques to compute the monostatic radar cross section (RCS) of electrically large conducting objects modeled by non-uniform rational B-spline (NURBS) surfaces. At the beginning, a new algorithm to convert recursive B-spline basis function into piecewise polynomials in power form is presented. Then, algorithm computes the polynomial representation of B-spline basis functions and NURBS surface geometric parameters are obtained. The PO integral over NURBS surfaces of an electrically large conducting object is used to predict the object's RCS. The NURBS surface is divided into small piecewise polynomial parametric patches by isoparametric curves, and the PO integral expression over the parametric domain of each polynomial parametric patch is reduced to an analytical expression which permits an accurate and effective computation of the PO integral by using a modified Ludwig's algorithm. The RCS of the object can be obtained by adding up the PO integral contribution of each polynomial parametric patch. The effectiveness of this method is verified by numerical examples.     

有理双圆弧插值与双圆弧样条曲面

阐明了用有理参数形式表示圆弧的充要条件。在此基础上建立了由三点确定的双圆弧的有理参数方程。提出了有理双圆弧插值的算法,其中包括建立连续性方程,计算弦切角以及构造样条曲线。此外,构造了一类以双圆弧样条为横向截线的直纹曲面     

基于样条曲线插值的压力传感器的温度补偿

提出了基于三次样条曲线插值的温度补偿方法,用这种方法对测压范围为0.013 3×105~3.198 9×105 Pa,温度应用范围为-55~+80℃的高精度谐振筒压力传感器的实验标定结果进行了温度补偿.为加快标定过程,给出了传感器标定点数的减少方案.结果表明,在传感器的标定点数减少2/3的情况下,提出的温度补偿方法的综合误差为0.007 9%,约是基于径向基函数(RBF)神经网络的温度补偿方法的1/2,从而有效减少了传感器的标定成本和工作量.这对于解决高精度压力传感器的温度补偿问题具有一定的理论意义和工程应用价值.