Aerodynamic optimization design for high pressure turbines based on the adjoint approach

A first study on the continuous adjoint formulation for aerodynamic optimization design of high pressure turbines based on S2surface governed by the Euler equations with source terms is presented.The objective function is defined as an integral function along the boundaries,and the adjoint equations and the boundary conditions are derived by introducing the adjoint variable vectors.The gradient expression of the objective function then includes only the terms related to physical shape variations.The numerical solution of the adjoint equation is conducted by a finitedifference method with the Jameson spatial scheme employing the first and the third order dissipative fluxes.A gradient-based aerodynamic optimization system is established by integrating the blade stagger angles,the stacking lines and the passage perturbation parameterization with the quasi-Newton method of Broyden–Fletcher–Goldfarb–Shanno(BFGS).The application of the continuous adjoint method is validated through a single stage high pressure turbine optimization case.The adiabatic efficiency increases from 0.8875 to 0.8931,whilst the mass flow rate and the pressure ratio remain almost unchanged.The optimization design is shown to reduce the passage vortex loss as well as the mixing loss due to the cooling air injection.     

高超声速飞行器动态神经网络反推自适应控制

针对高超声速飞行器纵向模型的高度非线性特点,在考虑模型不确定性的情况下,提出了高超声速飞行器动态神经网络调节函数反推自适应控制方法.对给定的速度指令,引入积分型Lyapunov函数设计跟踪控制器,取消了控制增益一阶导数上界的限制,且避免了控制器的奇异性;对给定的高度指令,引入调节函数技术,设计了反推控制器,避免了将模型化为严反馈形式;采用动态神经网络对未知系统动态进行自适应在线逼近.根据Lyapunov理论证明了设计的控制律保证了闭环系统的稳定性与指令跟踪的精确性.仿真结果验证了该方法的可行性及有效性.     

Analysis of crack opening stresses for center- and edge-crack tension specimens

Accurate determination of crack opening stress is of central importance to fatigue crack growth analysis and life prediction based on the crack-closure model. This paper studies the crack opening behavior for center- and edge-crack tension specimens. It is found that the crack opening stress is affected by the crack tip element. By taking the crack tip element into account, a modified crack opening stress equation is given for the center-crack tension specimen. Crack surface displace- ment equations for an edge crack in a semi-infinite plate under remote uniform tension and partially distributed pressure are derived by using the weight function method. Based on these displacements, a crack opening stress equation for an edge crack in a semi-infinite plate under uniform tension has been developed. The study shows that the crack opening stress is geometry-dependent, and the weight function method provides an effective and reliable tool to deal with such geometry depen- dence.     

基于试验的电动舵机模型辨识

目前电动舵机模型的建立基本上是基于理论的数学推导,所建立的舵机模型与实际舵机模型存在一定的误差。针对此问题,提出一种基于试验实测数据建立舵机模型的方法,搭建自动数据采集试验平台,采用组合窗法对实测数据进行频域转换,得到舵机的频率响应函数并采用非线性最小二乘法辨识舵机模型。对辨识得到的数学仿真结果与实际舵机响应比较,在频域,整个频段内幅频特性最大绝对误差1.9 dB;在时域,仿真模型跟踪实际舵机角度的最大误差1.5°,延迟时间10 ms。结果表明,基于试验数据建立的舵机仿真模型能很好地模拟实际舵机。     

脉冲随机微分系统的均方指数稳定性分析

研究了脉冲随机时滞微分泛函方程的均方指数稳定性问题。利用Lyapunov-Razumikhin型方法及随机分析的一些技巧,建立了一类脉冲随机泛函微分方程的均方指数稳定性定理。     

SINS/GNSS组合导航测试系统用惯导模拟源技术研究

针对光纤陀螺SINS(捷联惯性导航系统)与GNSS(全球卫星导航系统)组合导航产品高动态性能测试难的问题,本文研究了一种组合导航测试系统,并对捷联惯导模拟源进行了重点研究.首先以捷联惯导解算算法为基础逆推出了捷联惯导模拟源算法,然后对捷联惯导模拟源进行了功能实现,可以与导航卫星信号模拟源同步向组合导航计算机发送数据用于组合导航解算.最后对捷联惯导模拟源的功能与性能进行了验证.结果表明,捷联惯导模拟源功能正常,模拟数据的精度达到设计要求.利用此惯导模拟源与导航卫星信号模拟源配套使用,将可满足后续SINS/GNSS组合导航系统的相关性能测试或验证要求.     

基于滑模自适应控制的不确定混沌系统修正函数投影同步

研究了一类不确定混沌系统的修正函数投影同步。首先,设计了一类滑模曲面;基于该曲面设计了同步控制器,并采用自适应技术设计了自适应律对不确定参数进行逼近。在一定条件下,该同步控制方案可以实现2个不确定异结构混沌系统的修正函数投影同步。然后,为保证合适的控制量,对控制增益进行了优化。从同步效果来看,所设计的控制器对混沌系统的不确定项的影响具有较强的鲁棒性。最后,数值仿真验证了该控制器的有效性和可行性。     

基于比例导引角度线性化的无人机避障研究

基于无人机与障碍物之间的几何关系,在极坐标系下建立了无人机与障碍物之间的运动学方程,通过引入基于角度线性化的比例导引律,使无人机能够顺利避开障碍物。引入的基于角度线性化的比例导引律是关于无人机相对速度航向角与避障点视线角的函数,由比例函数及偏差函数组成。为解决初始时刻相对速度航向角不满足引入导引律的问题,在调节函数中加入了指数项。通过稳定性证明,得到了满足要求的导引律参数取值范围。最后对设计的避障算法进行了仿真,仿真结果验证了算法的有效性。     

Design and Application of Discrete Sliding Mode Control with RBF Network-based Switching Law

This article proposes a novel approach combining exponential-reaching-law-based equivalent control law with radial basis function (RBF) network-based switching law to strengthen the sliding mode control (SMC) tracking capacity for systems with uncertainties and disturbances. First, SMC discrete equivalent control law is designed on the basis of the nominal model of the system and the adaptive exponential reaching law, and subsequently, stability of the algorithm is analyzed. Second, RBF network is used to form the switching law in a direct and online manner with sliding-mode-related inputs and by approximating evaluation function; and the method to adjust its parameters is devised. Finally, comparable experiments are carried out to verify the application of the proposed approach to an inner-axis driven by a direct current (DC) torque motor through extra-low speed servo for a high precision flight simulator, and the axis works under deteriorating conditions such as periodically fluctuating torques of motor, nonlinear friction, and time-varying model parameters. The results show that the combined SMC can effectively improve the servo performance, for instance, to a stable 0.000 08 (°)/s speed response, the tracking error would be within 0.000 08° in 98% of operating times. Moreover, the hybrid nature of the approach imparts the RBF network the features of removing offline training and ease to set initial parameters.     

也谈"军事计量测量标准价值分析"

就价值分析的内涵和操作要点,以及价值分析在计量领域的应用等方面,对本刊曾发表过的"军事计量测量标准价值分析"一文中的某些提法和分析提出几点不同的看法.