Lagrange中值定理的证明

通过从Lagrange中值定理的结论、条件、几何意义三个方面的分析，提出了构造辅助函数的思路和方法，并利用辅助函数证明了Lagrange中值定理。     

用任意拉格朗日--欧拉方法求解流体力学方程组

从积分形式的二维Lagrange流体力学方程组出发，用有限体积格式进行计算，针对不规则的四边形网格，在用次级网格的方法确定网眼内物理量的梯度的基础上，提出一种体积加权的方法来构造网眼内的线性插值多项式。将新网格进行了细划，先确定新网格小网眼中心点的密度，将小网眼的质量直接计算出来，再计算新网格的质量，然后确定相应的密度，从而实现高精度重映。最后用ALE方法进行数值模拟，得到了预期的效果。     

求解非定常空气动力系数主导极点的近似方法

在计算与风洞实验的基础上, 提出了机翼剪切翼梢气动布局, 对平面形状与翼型进行了 优化设计, 达到了巡航状态与爬升阶段较高的增升减阻要求。计算采用涡格面元法与涡升力展向 分布吸力比拟法相结合的方法, 既能考虑气动力的非线性因素, 又有较高的计算精度与速度。计 算结果与实验数据十分吻合。通过分析得到, 在矩形翼翼梢处增加具有较大前缘后掠角的梯形剪 切翼梢有不仅增加机翼展弦比, 且可改变展向环量分布, 使其接近椭圆分布; 剪切翼梢上的前缘 涡可抑制翼端涡的作用(使翼端涡强度变弱) , 并在剪切翼梢上产生附加升力。     

基于熵与TOPSIS法的空中目标威胁判断

针对舰艇对空防御空中目标威胁判断指标属性权重与属性值均为区间数的情况,通过以各方案与理想方案偏差最小、与负理想方案偏差最大,以及权系数熵的最大化为优化目标,用拉格朗口乘子法给出模型的最优解,得到指标的权重值;基于区间数的4种不同的距离度量方式,建立基于TOPSIS法的威胁判断模型;通过实例对比在不同距离度量下的排序效果...     

弹射过程座舱盖抛放轨迹的预测

通过分析座舱盖在各个不同抛放阶段的受力关系,并着重考虑了抛放过程中气动系数的修正和铆钉剪切的影响,最终建立了座舱盖抛放轨迹的预测模型.该模型可广泛用于预测不同型号座舱盖在各种飞行状态下的抛放轨迹.算例表明计算结果与实验数据一致,证明了模型的实用性和有效性.     

卫星多径信道下SOFDM插值估计算法的对比分析

在卫星多径衰落信道环境中传输正交频分复用信号时,工程上可以考虑采用以插值运算为核心的信道估计方法对接收信号进行信道估计。文章首先给出并研究了线性插值、三次样条插值和拉格朗日函数插值这三种插值估计算法的基本原理,然后对各种算法的计算复杂度、插值估计的均方误差以及系统的误比特率这三项性能指标进行了对比分析,最后通过综合评估总结出了＂在慢多径衰落信道环境下宜采用线性插值估计算法＂和＂在快多径衰落信道环境下宜采用三次样条插值估计算法或拉格朗日函数插值估计算法＂的结论。     

Effects of sintering temperature and time on defect evolution and compression properties of Ti-Al3Ti laminated composites

For metal-intermetallic laminated composites, various types of defects often occur during the preparation process. This paper studied the evolution and formation mechanism of defects,such as pores, tunnel cracks, and delamination cracks in Ti-Al₃Ti laminated composites prepared by vacuum hot-pressing method. Moreover, quasi-static and dynamic compression tests were performed to study the effects of pores and delamination cracks on the compression properties of the composites. The resu...     

Dynamic orbit propagation in a gravitational field of an inhomogeneous attractive body using the Lagrange coefficients

The analytical methods have nearly been replaced by the numerical methods due to their higher accuracy and accessibility of computation facilities. The semi-analytical Lagrange method of orbit propagation using f and g series is a competitive alternative to the numerical integration technique if the Lagrange coefficients are derived in a full gravitational field. In this paper, a generalization of the Lagrange method of orbit propagation is introduced. In other words, we introduce a complete form of the Lagrange coefficients in all force fields developed in the spherical harmonics for example full gravitational field of the Earth. The method is numerically compared with the numerical integration technique. In order to show the numerical performance of the method, it has been implemented for orbit propagation of a GPS-like MEO and CHAMP-like LEO satellites. Discrepancy at centimeter level for CHAMP-like and sub-millimeter accuracy for GPS-like satellites shows relatively high performance of the developed algorithm. Compared to integration method, the proposed Lagrange method is nearly faster by a factor two for small Nmax and four for large Nmax.     

The possibilities of polar meteorology,environmental remote sensing,communications and space weather applications from Artificial Lagrange Orbit

The ability to observe meteorological events in the polar regions of the Earth from satellite celebrated an anniversary, with the launch of TIROS-I in a pseudo-polar orbit on 1 April 1960. Yet, after 50 years, polar orbiting satellites are still the best view of the polar regions of the Earth. The luxuries of geostationary satellite orbit including rapid scan operations, feature tracking, and atmospheric motion vectors (or cloud drift winds), are enjoyed only by the middle and tropical latitudes or perhaps only cover the deep polar regions in the case of satellite derived winds from polar orbit. The prospect of a solar sailing satellite system in an Artificial Lagrange Orbit (ALO, also known as “pole sitters”) offers the opportunity for polar environmental remote sensing, communications, forecasting and space weather monitoring. While there are other orbital possibilities to achieve this goal, an ALO satellite system offers one of the best analogs to the geostationary satellite system for routine polar latitude observations.     

基于雷达散射截面约束的气动优化设计

采用拉格朗日乘子法优化设计了雷达散射截面约束条件下的锥形融合气动外形.拉格朗日乘子法中的极小化问题采用动态演化的优化设计方法求解.该方法是一种基于非定常演化的优化设计方法,即在求解非定常流动支配方程的时候同时履行优化过程,较其它基于定常解的优化方法具有高得多的计算效率.其中的雷达散射截面通过求解非结构的笛卡儿网格上的时域麦克斯韦方程来得到,而升阻比则通过求解锥形流方程来计算.通过优化设计,得到了M∞=8.0时,升阻比为4.98,雷达散射截面只有1.66m2的锥形融合气动外形.