Application of complex nonlinear modes to determine dry whip motion in a rubbing rotor system

Dry whip motion is an instability of rubbing rotor system and may cause catastrophic failures of rotating machinery. Up to now, the related mechanisms of the dry whip is still not well understood. This paper aims to build the relationship between the complex nonlinear modes and the dry whip motion, and propose an effective method to predict the response characteristics and existence boundary of the dry whip through complex nonlinear modes. For the first time, the paper discusses how to use the complex nonlinear modes to predict the dry whip systematically, and as a consequence, the mechanism of the relationship between the complex nonlinear mode and the dry whip is revealed. The results show that the Backward Whirl (BW) mode motion of the rubbing rotor system dominates the response characteristics and the existence boundary of dry whip. The whirl amplitude and whirl frequency of dry whip are equal to the modal amplitude and modal frequency of the BW mode at the jump up point where the modal damping is equal to zero. The existence boundary corresponds to the critical rotation speed where the minimum of the modal damping of the BW mode motion is exactly equal to zero. Moreover, the proposed nonlinear modal method in this article is very effective for the prediction of dry whip of the more complicated practical rotor system, which has been verified by applying the predicted method into a rubbing rotor test rig.     

非线性反演控制律在航空发动机多变量控制中的应用

主要研究了非线性反演控制规律设计方法在航空发动机控制中的应用.首先基于小偏差线化模型建立了航空发动机的非线性仿射模型, 讨论了非线性反演控制规律的设计方法.最后, 针对某型涡扇发动机运用非线性反演控制规律设计方法设计了双转子转速控制规律, 并给出了仿真结果, 仿真结果表明这种控制规律的设计方法在航空发动机控制中是可行的.      

NASA67级非定常流场的频域分析

通过对NASA67级典型截面非定常流场的快速傅立叶分解, 在频域内对转静干扰效应、交界面典型脉动量的周向波形以及周期边条的相位延迟角进行了分析.同时可以看到一些在时域中很难直观看到的现象.最后通过对比采用前5阶谐波合成出来的确定应力和非定常计算合成出来的确定应力, 分析了非线性谐波法在确定应力建模方面的可行性及优势.      

基于非线性动态逆的飞机控制规律仿真

介绍了采用非线性动态逆方法对常规飞机的各回路进行的控制规律解算,并以某型飞机为模型进行仿真,结果表明,该控制规律解算能提供精确的纵向和横向控制,具有良好的指令跟踪性能。     

直升机旋翼瞬态气弹运动有限元模型研究

从能量变分原理出发建立了旋翼的瞬态气弹有限元模型,模型考虑了旋翼转速加速度对桨叶动能变分的影响。采用叶素理论建立了桨叶在复杂流场中的气动载荷模型,模型计入了旋翼主轴纵倾和横滚角的影响,研究了流场风速分量的计算。运用所建模型仿真分析了直升机在护卫舰尾流场内起动时桨叶的挥舞、摆振、扭转(变距)等瞬态运动过程。模型可用于旋翼的振动仿真分析、噪声估计和故障诊断方法的验证。     

非线性预测控制模型方法综述

预测控制(MPC)算法经历了30余年的发展,展现出强大的生命力。近年来,非线性MPC已逐渐成为MPC研究的热点。非线性系统多样性给非线性MPC研究造成了困难,主要体现在模型选取、能量函数求解和非线性算法等诸多方面。非线性MPC以非线性模型为基础,这也是非线性MPC区别于线性MPC的根本因素。论文针对非线性预测模型进行了总结和评述。     

混合线性/非线性状态空间模型的边缘Rao-Blackwellized粒子滤波法(英文)

本文提出了边缘 Rao-Blackwellized 粒子滤波器(marginal Rao-Blackwellized particle filter, MRBPF)算法,算法融合了 Rao-Blackwellized 粒子滤波器(Rao-Blackwellized particle filter , RBPF)算法和边缘粒子滤波器(marginal particle filter, MPF)算法。算法中状态被分为线形和非线性两部分,分别用 MPF 和卡尔曼滤波器(Kalman Filter)进行估计。地形辅助导航(terrain aided navigation, TAN)的仿真结果表明,与 RBPF 相比,提出算法的非线性状态估计的误差均方根(root mean square error, RMSE)和误差方差分别降低了约 29%和 96%,独立粒子数提高了约80%,获得了更好的收敛结果。分析表明,现有RBPF是MRBPF的一个特例。     

Adaptive Sliding Control of Six-DOF Flight Simulator Motion Platform

本文使用Newton-Euler法推导了六自由度飞行模拟器运动平台完整的线性化形式的动力学方程,并以此为基础,提出了一种在任务空间中的非线性自适应滑模控制方法。这种控制方法将系统中的不确定性分为定常不确定参数和时变不确定参数,利用非线性自适应控制对定常不确定参数进行辨识,同时结合滑模控制对时变不确定参数和外部扰动进行补偿。通过数值仿真分析表明,该控制策略能准确识别运动平台的载荷、惯量、重心等参数,同时又能有效地提高系统的鲁棒性能。     

On Nonlinear-Evolution of C-type Instability in Nonparallel Boundary Layers

The process of evolution, especially that of nonlinear evolution, of C-type instability of laminar-turbulent flow transition in nonparallel boundary layers are studied by means of a newly developed method called parabolic stability equations （PSE）. Initial conditions, which are very important for the nonlinear problem, are investigated by computing initial solution of the harmonic waves, modifying the mean-flow-distortion, and giving initial value of TS wave and its subharmonic waves at initial station by solving linear PSE. A numerical method with high-order accuracy are developed in the text, the key normalization conditions in the PSE are satisfied, and nonlinear PSE are solved efficiently and implemented stably by the spatial marching. It has been shown that the computed process of nonlinear evolution of C-type instability in Blasius boundary layer is in good agreement with the experimental results.     

Rao-Blackwellized粒子概率假设密度滤波算法

针对多目标跟踪（MTT）,提出一种新的基于随机集的滤波算法,称为Rao-Blackwellized粒子概率假设密度滤波算法（RBP-PHDF）。算法运用Rao-Blackwellized思想,通过挖掘分析“混合线性/非线性模型”的结构,采用序列蒙特卡罗（SMC）方法预测与估计概率假设密度（PHD）迭代式中各个目标的非线性状态,并利用非线性状态粒子中包含的信息,使用卡尔曼滤波器（KF）对线性状态进行预测与估计。以更好地估计PHD进而提高各目标状态估计精度。分析与MTT仿真的结果表明,在相同的仿真条件下,与现有序列蒙特卡罗概率假设密度滤波算法（SMC-PHDF）相比,RBP-PHDF在降低粒子维数、减少计算量的同时,有效提升了估计精度。