圆锥曲线上三点构成直角三角形的充要条件

研究椭圆、双曲线、抛物线上三点构成直角三角形的充要条件,得到若干有益的结果。     

飞机抛物线飞行试验中的液体行为仿真

微重力环境下液体的流动特性和晃动行为是航天工程上颇为关心的问题,也是进行推进剂管理的基础。飞机抛物线飞行是创建微重力环境地面实验方法之一,可实现对一定时间内液体行为的观测,但其成本较高且试验时长受限。基于失重飞机的一般运动规律,对单次及多次抛物线飞行的任务剖面进行了设计,并以单次抛物线飞行为例、利用CFD软件对液体行为进行了数值仿真,分析了失重飞行段初始条件对微重力液体响应的影响。仿真结果可为失重飞机飞行任务剖面的设计和优化提供参考。     

一种基于抛物线霍夫变换的雷达信号分选方法

在雷达信号分选时,一般的思路是采用到达时间、脉宽、频率、到达方向等参数对信号进行分选,分选完成后再将同一辐射源的脉冲幅度提取出来,进行雷达扫描特性等分析.对某实际采集数据进行了分析,发现信号的时间、幅度曲线有明显的规律,采用了抛物线霍夫变换提取了全脉冲的幅度特性,并采用时间、幅度联合分析完成了信号的分选.仿真结果表明了该方法的有效性,为雷达信号分选提供了一条新的思路.     

群时延对测距误差的影响

基于直接序列扩频体制的伪距测量在卫星导航、雷达、航天测控、深空探测等领域获得了广泛的应用。射频链路,滤波器等引入的系统群时延会对扩频信号的传输时延产生影响,进而影响延迟锁定环(DLL)的伪距测量结果。文章首先介绍了群时延的概念和表达式,然后设计了满足仿真要求的群时延滤波器,建立了扩频信号的捕获、跟踪、测距模块,将群时延对接收机的影响量化到相关峰以及跟踪测距阶段的测距误差上。仿真结果表明,线性群时延(1阶)和抛物线群时延(2阶)对伪距测量的影响最大。     

On Nonlinear-Evolution of C-type Instability in Nonparallel Boundary Layers

The process of evolution, especially that of nonlinear evolution, of C-type instability of laminar-turbulent flow transition in nonparallel boundary layers are studied by means of a newly developed method called parabolic stability equations （PSE）. Initial conditions, which are very important for the nonlinear problem, are investigated by computing initial solution of the harmonic waves, modifying the mean-flow-distortion, and giving initial value of TS wave and its subharmonic waves at initial station by solving linear PSE. A numerical method with high-order accuracy are developed in the text, the key normalization conditions in the PSE are satisfied, and nonlinear PSE are solved efficiently and implemented stably by the spatial marching. It has been shown that the computed process of nonlinear evolution of C-type instability in Blasius boundary layer is in good agreement with the experimental results.     

数字相关法测时差的工程实现

时差测量精度是定位技术的关键指标。传统模拟法的时差测量精度随输入信号的沿宽加大而变坏(相同信噪比),当信号沿宽达到1500ns时,其时差测量精度已不能满足定位系统的要求。而数字相关法能适应不同沿宽的雷达信号时差的高精度测量。介绍了利用A/D、DSP和FPGA等器件搭建的硬件系统来实现数字相关法时差测量的方法。重点讨论了A/D采样模式、数字滤波、相关算法简化、插值技术及最终数据的统计处理。该方法具有一定的普遍适用性。     

碳钢、低合金钢大气腐蚀数学模型研究

通过对碳钢、低合金钢长期大气腐蚀锈层生长历程的研究,利用Fick扩散定律,给出了碳钢、低合金钢大气腐蚀的数学模型。然后,用碳钢、低合金钢自然环境下暴露1,2,4,8,16年的腐蚀深度数据进行了验证,提出了碳钢、低合金钢腐蚀分为三个阶段的复合模型,并分别预测了三个阶段的腐蚀规律。第一阶段用线性规律比较合适;第二阶段采用了数学模型中的抛物线规律,拟合结果表明抛物线拟合精度高于传统的幂函数拟合的精度;第三阶段也用线性规律。     

航空发动机涡轮特性转换方法

针对以落压比为横坐标,流量与效率为纵坐标,并按不同等转速线区分所表示的涡轮特性在涡轮处于临界状态时换算流量几乎保持不变,使得在航空发动机数学模型中应用该形式涡轮特性通过插值求解共同工作点时存在计算效率降低的不足,根据相似理论及等熵条件下涡轮膨胀功与落压比对应关系,推导了涡轮落压比、涡轮效率与涡轮当量功的关系,并结合抛物线插值方法给出了向以转速为横坐标,涡轮当量功与效率为纵坐标,并按不同等流量线区分所表示的涡轮特性转换方法。实例转换计算表明:采用所提出的转换计算方法,可有效解决以往涡轮特性插值流量基本不变的局限,并且两种格式的涡轮特性转换相对误差小于0.65%,满足工程要求。     

Design and analysis of spiral bevel gears with seventh-order function of transmission error

This paper proposes a new approach to mial function of transmission error （TE） for spiral design and implement a seventh-order polyno- bevel gears with an aim to reduce the running vibration and noise of gear drive and improve the loaded distribution of the tooth. Based on the constraint conditions of predesigned seventh-order polynomial function curve and the theory of linear algebra, the polynomial coefficients of the seventh-order polynomial function of transmission error can be obtained. By applying a method named reverse tooth contact analysis, the modified roll coefficients as well as parts of machine-tool settings for the face-milling of spiral bevel gears can be individually determined. Therefore, a predesigned seventh-order polynomial function of transmission error for spiral bevel gears can be obtained by the modified roll with high-order coef- ficients, and comparisons of the seventh-order polynomial and parabolic functions of transmission error are also performed. The achievement of spiral bevel gears with the seventh-order function of transmission error can be accomplished on a universal Cartesian-type hypoid gear generator or a numerically controlled cradle-style hypoid gear generator due to its simple generating motion of axes of the cradle and the work piece. The results of a numerical example show that the bending stresses of the tooth of seventh-order are less than those of a parabolic one, while the contact stresses remain almost eouivalent.