钉载作用下层板多孔过盈配合分析

本文利用各向异性体平面弹性理论中的复势方法,以Faber级数为工具,导出层板多孔/弹性核过盈配合在钉载作用下的级数解。     

一种求解气动双曲方程的高精度差分格式DEM

本文建立了一种基于解本身及共导数所满足的微分方程之上的差分格式DEM(Double Equation Method)。这种差分格式不仅精度高,而且有效地消除了双曲方程高阶差分解中常出现的振荡现象。     

非光滑多目标规划的Fuzzy弱有效解的最优性条件及其对偶定理

本文研究具有Fuzzy约束的非光滑目标规划（FVP），讨论了（FVP）的Fuzzy弱有效解的几何型、Fritz John型和Kuhn Tncker型最优性条件，并尝试建立了（FVP）的Mond-Weir型对偶，得到了弱对偶、直接对偶及逆对偶定理。     

故障树分析法在飞机客舱电气设备的排故应用

从故障树分析法的原理出发,对飞机客舱电气设备的故障原因进行分析,力求总结出一套专门针对飞机客舱故障解决有效方法.     

Self-similar flow of a rotating dusty gas behind the shock wave with increasing energy, conduction and radiation heat flux

A self-similar solution is obtained for one dimensional adiabatic flow behind a cylindrical shock wave propagating in a rotating dusty gas in presence of heat conduction and radiation heat flux with increasing energy. The dusty gas is assumed to be a mixture of non-ideal (or perfect) gas and small solid particles, in which solid particles are continuously distributed. It is assumed that the equilibrium flow-condition is maintained and variable energy input is continuously supplied by the piston (or inner expanding surface). The heat conduction is expressed in terms of Fourier’s law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity K and the absorption coefficient α_R are assumed to vary with temperature only. In order to obtain the similarity solutions the initial density of the ambient medium is assumed to be constant and the angular velocity of the ambient medium is assumed to be decreasing as the distance from the axis increases. The effects of the variation of the heat transfer parameters and non-idealness of the gas in the mixture are investigated. The effects of an increase in (i) the mass concentration of solid particles in the mixture and (ii) the ratio of the density of solid particles to the initial density of the gas on the flow variables are also investigated.     

解析求解非线性相对运动的最优重构问题

椭圆轨道相对运动模型的线性化导致其在大尺度相对运动应用中精度不能满足需求。针对任意椭圆轨道上的大尺度航天器编队最优重构问题,提出一种基于椭圆轨道非线性相对运动模型的近似解析求解方法。首先通过变分法建立了非线性最优重构问题的数学模型;然后采用摄动法,以偏近点角为积分变量求得了不含特殊积分的解析开环最优控制,有效地避免了真近点角域下最优控制解所含有的特殊积分。仿真验证了所求最优控制的有效性和优越性,结果表明在相对运动尺度较大时,相比基于椭圆轨道线性化模型的最优控制,在燃耗保持相近的情况下,所求非线性控制有效地降低了重构误差。     

基于增量谐波平衡法的流量调节器非线性频率特性

针对多个状态变量、非线性关系复杂、方程刚性强的流量调节器系统,应用增量谐波平衡法研究了调节器在入口压力扰动下的强迫振荡问题,得到了系统周期解的解析表达式。通过与龙格库塔数值仿真结果相比较,验证了增量谐波平衡法应用于该系统的有效性,且计算量相对较小。进而在频域内探讨了流量调节器系统的非线性频响特性,结果表明,随着扰动振幅的增大,幅频响应在整个频率范围上都有所增大。计算结果可以用于评估线性化方法的误差范围。通过分析周期解的时均值与稳态值的差别,揭示了调节器受上游压力周期扰动时,其出口流量的时均值略低于稳态值的非线性特性。     

Exact analytic solution for the spin-up maneuver of an axially symmetric spacecraft

The problem of spinning-up an axially symmetric spacecraft subjected to an external torque constant in magnitude and parallel to the symmetry axis is considered. The existing exact analytic solution for an axially symmetric body is applied for the first time to this problem. The proposed solution is valid for any initial conditions of attitude and angular velocity and for any length of time and rotation amplitude. Furthermore, the proposed solution can be numerically evaluated up to any desired level of accuracy. Numerical experiments and comparison with an existing approximated solution and with the integration of the equations of motion are reported in the paper. Finally, a new approximated solution obtained from the exact one is introduced in this paper.     

基于多余观测分量的整周模糊度可靠性检验方法

针对常规模糊度检验三步法中存在的错误模糊度整数解漏检的情况,分析了错误整周模糊度、观测值残差及多余观测分量矩阵之间的内在联系,阐述了参考星变化对多余观测分量矩阵主对角线元素的影响,进而提出了一种基于多余观测分量的整周模糊度可靠性检验方法。该方法根据多余观测分量主对角线占优原则实现部分卫星的模糊度可靠性检验。对于多余观测分量主对角线不占优的卫星,利用多余观测分量绝对值最大的情况进行整周模糊度可靠性检验,从而完成所有卫星的模糊度可靠性检验。