三层三级民机修理级别经济性分析模型的改进

现代民机产品普遍采用模块化设计，具有多层次特点，相应的维修场所也表现为多个维修级别。现有修理级别分析（LORA）模型在移级维修和报废时，可能存在父单元与其内部封装子单元成本重复累加的问题。引入跟随行为矩阵，对子单元中因父单元层级约束而做出的决策进行标记，能有效地避免父单元与子单元成本被重复计算。在此基础上，考虑实际维修活动中无故障发现事件（NFF）、二次维修等人为因素对LORA决策的影响，建立适用于民机的修理级别分析模型，较已有模型更加真实地反映决策的预计成本，提高了决策的可信度和工程适用性。最后使用混合惩罚函数法将原问题转化为等价的无约束优化问题，采用改进的二进制粒子群算法（BPSO）对多故障模式下的三层三级案例进行仿真优化，验证了该经济性分析模型的合理性和求解算法的有效性。     

Study on effects of thickness on airfoil-stall at low Reynolds numbers by cusp-catastrophic model based on GA(W)-1 airfoil

The phenomena of an airfoil stall present the behaviors of catastrophe and hysteresis at low Reynolds numbers. Numerical simulation results of two-dimensional airfoil GA(W)-1 show that the width of the hysteresis loop of airfoil stall will gradually decrease and even disappear with the decrease of thickness ratio. These nonlinear characteristics are in accordance with the topological features of the cusp catastrophic model. According to the topological invariant principle, a novel topological mapping method is developed to establish the mapping relationship between cusp catastrophic model and stall characteristics of the airfoil, then the effect of thickness ratio on airfoil stall is successfully described quantitatively by cusp catastrophic model. Further, based on the established topological mapping relationship, combined with the mean flow field of the airfoil stall, potential function approach of cusp catastrophic model is first introduced to interpret the catastrophe and hysteresis of the airfoil stall, and it is found that as the thickness ratio decreases, the system's maximal potential energy gradually disappears, and the short separation bubble at the leading edge of the airfoil changes to long separation bubble, so the airfoil stall changes from a bistable system to a monostable system.     

A shadow function model based on perspective projection and atmospheric effect for satellites in eclipse

Accurate Solar Radiation Pressure (SRP) modelling is critical for correctly describing the dynamics of satellites. A shadow function is a unitless quantity varying between 0 and 1 to scale the solar radiation flux at a satellite’s location during eclipses. Errors in modelling shadow function lead to inaccuracy in SRP that degrades the orbit quality. Shadow function modelling requires solutions to a geometrical problem (Earth’s oblateness) and a physical problem (atmospheric effects). This study presents a new shadow function model (PPM_atm) which uses a perspective projection based approach to solve the geometrical problem rigorously and a linear function to describe the reduction of solar radiation flux due to atmospheric effects. GRACE (Gravity Recovery And Climate Experiment) satellites carry accelerometers that record variations of non-conservative forces, which reveal the variations of shadow function during eclipses. In this study, the PPM_atm is validated using accelerometer observations of the GRACE-A satellite. Test results show that the PPM_atm is closer to the variations in accelerometer observations than the widely used SECM (Spherical Earth Conical Model). Taking the accelerometer observations derived shadow function as the “truth”, the relative error in PPM_atm is ?0.79% while the SECM 11.07%. The influence of the PPM_atm is also shown in orbit prediction for Galileo satellites. Compared with the SECM, the PPM_atm can reduce the radial orbit error RMS by 5.6?cm over a 7-day prediction. The impacts of the errors in shadow function modelling on the orbit remain to be systematic and should be mitigated in long-term orbit prediction.     

基于比例风险模型的环境折合系数确定方法

研究了环境因素对产品可靠性的影响,给出了一种综合利用变环境试验数据的环境折合系数确定方法.利用比例风险模型来描述可靠性与环境因素的关系,给出了环境因素对产品可靠性影响的定量度量.基于该模型给出了常用寿命分布下的环境折合系数的统计推断方法.针对复杂环境,采用广义比例风险模型用于度量不同环境因素之间对可靠性的交互作用.利用径向基函数法来拟合该模型,并对模型进行了优化.计算实例表明:该方法合理可行,便于工程应用.     

基于神经网络和遗传算法的公差优化设计

针对产品制造中公差与成本之间高度非线性关系的特点,提出了一种综合神经网络与遗传算法进行公差优化的方法,该方法利用遗传算法在大范围解空间内采用概率搜索策略得到全局最优解且有较强鲁棒性的特点,以及神经网络解决高度非线性问题的优越性,首先利用神经网络对公差成本进行仿真,得到具有黑箱特点的公差成本函数关系;然后在公差分配中采用遗传算法,以总成本最小为目标函数,以满足装配公差要求和符合标准公差等级为约束条件进行优化;同时基于VC和Matlab开发了公差优化系统,以飞机舱门锁钩机构为对象进行了验证,并针对不同的公差成本及分配方法进行了对比.结果表明:采用神经网络与遗传算法综合分配的结果与传统方法相比具有较大的优越性.     

四元数UKF超紧密组合导航滤波方法

针对GPS/SINS(Global Positioning System/Strapdown Inertial Navigation Sys-tem)超紧密组合导航系统线性化滤波在高动态、弱GPS信号等环境下性能下降严重的问题,提出了一种以四元数UKF(Unscented Kalman Filter)为基础的GPS/SINS超紧密组合导航系统非线性滤波方法.通过分析GPS与SINS在超紧密组合导航系统中的关系,提出了一种利用SINS信息来估计、修正GPS载波信号的方法,在此基础上建立了组合导航滤波的状态方程和量测方程;以四元数乘性误差模型为基础,提出了一种可应用于UKF滤波的求解四元数加权均值的方法;提出了基于四元数UKF的GPS/SINS超紧密组合导航滤波方法.仿真实验表明:在高动态环境下,四元数UKF滤波方法增强了GPS/SINS超紧密组合导航系统的定位精度和抗干扰能力.     

高超声速导弹高空再入减速段弹道优化设计

首先建立了高超声速导弹再入段弹道模型,并将攻角作为控制变量。在满足过载及动压约束条件下,利用惩罚函数将其转化为无约束的弹道优化问题,并采用双切点遗传算法进行优化计算。文中采用两种方法:一种是直接优化攻角,另一种是给定攻角变化规律为二次曲线,优化二次多项式系数。算例表明,两种方法均取得了较好的优化结果,即满足约束条件下得到终端最大速度。但在合理性以及实现性方面,第二种方法优于第一种方法。     

异形遮拦光学系统衍射限MTF数值计算方法研究

根据光学系统理想光学传递函数(OTF)与光瞳函数P(x,y)的关系,文章提出了一种求取光学系统调制传递函数(MTF)的数值计算方法,以解决不能解析求解异形遮拦光学系统调制传递函数的问题。利用该方法可在光学设计初级阶段就能对光学性能进行预估,其中结合具体光学系统给出了若干计算实例并与该光学系统的实际指标进行了对比,基本一致,表明该方法可以在光学详细设计前实现较准确的光学系统成像性能预估。     

基于多组合窗函数的NLFM信号匹配滤波器设计

文章研究了在相位逗留原理的基础上采用由多种窗函数线性组合得到的组合窗设计NLFM信号的波形与脉冲压缩滤波器,重点分析了组合窗函数的组合参数及窗函数数量对NLFM信号脉冲压缩结果的影响。仿真结果表明,在一定条件下对基于三种窗函数线性组合的组合窗设计的NLFM信号进行谱修正滤波后,主副瓣比（RMS）可提高4．6～8．9dB,而主瓣展宽和主瓣损失变化较小。     

基于左矩阵分式模型的模态参数识别方法

提出一种多输入多输出(MIMO)系统的宽频模态参数识别算法。该方法基于频响函数(FRF)的左矩阵分式模型(LMFD),通过最小二乘法在z域内求解模态参数,避免了s域内矩阵的病态问题。针对左矩阵分式模型的特点,给出了一种通过主分量分析(PCA)建立稳定图的方法。指出了传统的频域多参考点(PRFD)方法与基于左矩阵分式模型识别方法之间的关系。最后采用GARTEUR模型仿真算例与飞机模型的实测算例对所提出的方法进行了验证,结果表明该方法具有良好的识别效果。