压电材料壳的广义变分原理和状态向量方程

将三维弹性材料的H-R变分原理引入到具有机-电耦合效应的三维压电弹性材料圆柱壳问题中,建立了对应于正交各向异性压电材料圆柱壳的Hamilton型广义变分原理。通过变分运算得到了柱坐标系下的状态向量方程,该状态向量方程也是Hamilton正则方程。最后指出纯正交各向异性弹性材料壳Hamilton型广义变分原理是变分公式的特例。变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。     

基于变域变分有限元的翼型反设计

反问题作为一种自由(未知)边界问题近年来得到了广泛的研究。变域变分通过把自由边界结合在变分泛函中，使其与求解流场的控制方程结合起来，从而自由边界求解和流场分析可以完全耦合进行。本文采用变域变分和可变形有限元来设计可压缩和不可压缩翼型，计算显示即使在初始翼型的一侧为三角形时仍能得到满意的结果。文中还采用了两种计算网格(H型和O型)来设计翼型，比较了它们的精度，计算表明本方法完全能用于翼型的反设计。     

Generalised variational assimilation of cloud-affected brightness temperature using simulated hyper-spectral atmospheric infrared sounder data

Assimilated channel brightness temperature data from infrared sounders accounting for cloud effects have a positive effect on weather forecasting, especially in weather-sensitive areas. When cloud effects are included, the channel brightness temperature deviations follow a non-Gaussian distribution. However, classical variational data assimilation follows a Gaussian distribution. When processing the cloud-affected brightness temperature, useful data are lost through the cloud detection process, thus assimilating some channel brightness temperatures with weight function peaks above the cloud top. Furthermore, strict quality control of brightness temperature removes outliers. By adopting the generalised variational assimilation method, which assumes that errors follow a non-Gaussian distribution, this paper assimilates the cloud-affected brightness temperature using simulated data for the hyper-spectral atmospheric infrared sounder (AIRS). A channel set is formed by dynamically selecting AIRS channels. The experiments for retrieving temperature and humidity data demonstrate that the generalised variational assimilated cloud-affected brightness temperature method performs better than the classical method.     

A novel biased proportional navigation guidance law for close approach phase

A novel biased proportional navigation guidance (BPNG) law is proposed for the close approach phase, which aims to make the spacecraft rendezvous with the target in specific relative range and direction. Firstly, in order to describe the special guidance requirements, the concept of zero effort miss vector is proposed and the dangerous area where there exists collision risk for safety consideration is defined. Secondly, the BPNG, which decouples the range control and direc-tion control, is designed in the line-of-sight (LOS) rotation coordinate system. The theoretical anal-ysis proves that BPNG meets guidance requirements quite well. Thirdly, for the consideration of fuel consumption, the optimal biased proportional navigation guidance (OBPNG) law is derived by solving the Schwartz inequality. Finally, simulation results show that BPNG is effective for the close approach with the ability of evading the dangerous area and OBPNG consumes less fuel compared with BPNG.     

VS-CMA盲均衡算法在短波数据通信中的应用研究

在美军标MIL-STD-188-110B基础上,改进短波（HF）数据通信发送端数据流结构,以便接收端对信号进行盲均衡处理。基于8PSK调制信号的峰度为恒定值的统计特性,提出采用均衡输出信号的峰度与理想信号的峰度差异,以调整恒模算法（CMA）的步长因子;并针对国际电联推荐的短波信道参数,进行了算法的性能仿真。仿真分析表明该算法对慢衰落的短波信道具有较好的均衡效果,对快衰落信道的均衡能力有限;应对快速衰落信道,算法还有待进一步改进。     

结合不确定度的发动机模型辨识气路诊断

针对航空发动机气路诊断中测量参数个数小于待诊断参数个数的不适定问题,利用了发动机平衡技术,结合非线性的发动机数学模型,并综合考虑了测量参数的不确定度和理论模型部件性能的不确定度,建立了一种结合不确定度的发动机气路故障诊断辨识算法——变分加权最小二乘法,并将该算法应用于某发动机的诊断分析中.结果表明:运用该方法可分析出测量数据和模型计算数据之间的差别,同时,利用所得的故障参数修正量修正原发动机数学模型,使模型计算推力与试验测量推力最大偏差由8.25%减小到1.66%,耗油率最大偏差由6.25%减小到1.50%.      

模糊变分原理在求解结构固有频率中的应用

在处理含模糊参数的结构固有频率问题时,现有的方法局限于先将模糊参数转化为区间数求解,再由区间解构造出相应的模糊解.由于现有方法计算量较大,所以提出了基于模糊变分原理的模糊里兹法和模糊有限元法.通过在瑞利商变分中直接引入模糊参数,得到了结构固有频率问题的模糊变分原理.作为模糊变分原理的应用,推导了模糊里兹法和模糊有限元法.这两种方法都可以直接得到问题的模糊解,与传统的区间解法相比,提高了计算效率.算例表明,这两种方法不但具有较高的计算精度,而且可以很大程度上减少计算量.     

拟协调九结点四边形层合板壳有限元

构造了一个拟协调九结点四边形层合板壳单无，这一单元是根据Ｈｕ－Ｗａｓｈｉｚｕ变分原理导出的，独立假设了位移场、每一层的应变场和应力场。文中计算了复合材料板和充实例。计算结果表明，本文单元在准确性和高效率方面的性态较好。     

能量法和加权残值法的联合应用——构造有限元的新途径

 本文将能量法和加权残值法结合起来(记为EWR方法),构造非协调位移元,特点是(1)做法简便——用加权残值法来放松单元间位移连续条件。可使能量泛函中不再包含不协调位移引起的能量贡献项,于是单元只有位移一类变量。(2)使用可靠——由于将加权残值法与能量泛函统一考虑.权残方程可赋予明确的物理意义。一方面。适当选择权函数,权残方程的满足就意味着非协调元收敛准则的满足。另一方面,变换权函数,可将现有各种位移型单元纳入EWR方法的统一形式中。     

基于时滞分割技术的时滞神经网络系统时滞相依全局稳定性分析

通过构造一个新的增广 Lyapunov-Krasovskii泛函,利用时滞分割技术并结合自由权矩阵、Jensen积分不等式,得到一个时滞神经网络系统时滞相依全局渐近稳定新判据。该判据以 LMI的形式给出,便于计算和验证。数值实例表明,文章结果改进了相关文献结论,具有更低的保守性。