Multi-probe linear fitting and time of arrival linear correction method to analyze blade vibration based on blade tip timing without once-per-revolution

Blade vibration monitoring can ensure the safe operation of aero-engine rotor blades. Among the methods of blade vibration monitoring, Blade Tip Timing (BTT) method has attracted more and more attention because of its advantages of non-contact measurement. However, it is difficult to install the Once-Per-Revolution (OPR) probe in the confined space of aero-engine, and the failure and instability of the OPR signal will reduce the reliability of the blade vibration analysis results, which directly affects the accuracy of the blade vibration parameters identification. The Multi-Probe linear fitting and Time of Arrival (ToA) Linear Correction method based on the BTT (MP-LC-BTT) without OPR is proposed to reduce the errors of single probe linear fitting method for blade vibration displacement analysis. The proposed method can also correct the calculation error of blade vibration displacement due to the nonlinear change of rotation speed, which can improve the analysis accuracy of the blade vibration displacement. A new blade vibration model conforming to the actual vibration characteristics is established, and the effectiveness of the proposed method is verified by numerical simulation. Finally, the reliability and accuracy of the MP-LC-BTT method have been verified by the experiments which include two high-speed blade test-benches and an industrial axial fan. This method can be used in the actual aero-engine monitoring instead of the BTT method with OPR.     

变结构自适应控制在BTT导弹中的应用

 提出了ＢＴＴ导弹自动驾驶仪的变结构自适应设计方法。该方法完全基于对象参数变化和随机扰动的上下界,无需对系统进行参数辩识和对随机扰动进行在线估计,增强了控制系统的适应性和鲁棒性。在考虑了各种非理想因素的情况下,得到了令人满意的仿真结果。     

Multi-coset angular sampling-based compressed sensing of blade tip-timing vibration signals under variable speeds

Blade Tip-Timing (BTT) has been regarded as a promising way of on-line blade vibration monitoring. But blind multi-band BTT vibration reconstruction is a big challenge under variable speeds and under-sampling. In order to deal with it, a novel Compressed Sensing (CS) method is proposed based on Multi-Coset Angular Sampling (MCAS) in this paper. First, multi-coset sampling scheme of BTT vibration signals is presented. Then the CS model of BTT vibration signals is derived in order domain. A sufficient condition of the number of BTT sensors is derived for perfect reconstruction and optimal placement of BTT sensors is determined by minimizing the condition number. In the end, numerical simulations are done to validate the proposed method and the performances of four reconstruction algorithms are compared, i.e., Orthogonal Matching Pursuit (OMP), Multiple Signal Classification (MUSIC), Basis Pursuit Denoising (BPDN) and Modified Focal Underdetermined System Solver (MFOCUSS). Influences of the sensor placement, the number of BTT sensors and measurement noises on the reconstruction performances are also testified. The results demonstrate that the proposed method is feasible and the overall performance of the BPDN algorithm is the best among the four algorithms. Also the reconstruction performance decreases with the accelerations of rotating speed.     

一种基于参数辨识的微小型无人直升机建模方法

 针对具有高度非线性、复杂动力学特性的微小型无人直升机，提出了一种基于参数辨识的建模方法。该方法结合了机理建模和系统辨识的优点，通过严格的机理推导建立了微小型无人直升机横纵向通道通用的参数化模型，建模过程着重考虑了主旋翼、平衡杆和机身的耦合对飞行动态特性的影响。利用基于偏相干分析法的频域辨识获得某型无人直升机的关键参数，进而确定模型。模型预测数据和飞行试验数据的比较表明，所建模型很好地反映了该型无人直升机在悬停状态下的动态特性，可以在该状态下以此模型进行自主飞行控制器设计。     

A novel none once per revolution blade tip timing based blade vibration parameters identification method

The vibration caused blade High Cycle Fatigue (HCF) is seriously affects the safety operation of turbomachinery especially for aero-engine. Thus, it is crucial important to identify the blade vibration parameters and then evaluate the dynamic stress amplitude. Blade Tip Timing (BTT) method is one of the promising method to solve these problems. While, it need a high resolution Once Per Revolution (OPR) signal which is difficult to get for the aero-engine. Here, a Coupled Vibration Analysis (CVA) method for identifying blade vibration parameters by a none OPR BTT is proposed. The method assumes that every real blade has its own vibration performance at a given speed. Whereby, it can take any blade as the reference blade, and the other blades using the reference blade as the OPR for vibration displacement calculating and further parameter identifying. The proposed method is validated by numerical model. Also, experimental studies are carried out on a straight blade and a twisted three dimensional blade test rig as well as a large industrial axial compressor respectively. The results show that the proposed method can accurately identify the blade synchronous vibration parameters and quantitatively evaluate the mistuning in bladed disks, which lays a foundation for the reliability improvement of aero-engine.     

基于时频切片分解的时变系统参数识别

系统参数识别分为时不变系统参数识别和时变系统参数识别两大研究方向,其中时不变系统参数识 别的研究已趋于成熟,而时变系统参数识别的研究则仍然处于起步阶段。对于多自由度时变结构,提出一种基 于时频切片分解的时变系统参数识别方法。该方法采集结构的振动位移响应,根据时频分解计算得到响应在 整个时频段内的时频能量分布图;依据结构的时频分布特性,选择多个时频切片窗分解响应信号,再对分解出 的信号分别进行逆变换计算完成时域上的信号重构;重构出来的信号对应于结构的各阶模态位移响应信号,利 用Hilbert变换提取信号瞬时频率,从而识别出结构各阶频率。通过一个三自由度的弹簧阻尼质量仿真实验, 验证了该方法具有良好的识别精度和工程实用价值。     

联合截获威胁下的雷达射频隐身目标搜索算法

针对基于射频(RF)隐身需求的机载雷达目标搜索问题进行了研究。通过分析实际作战中射频辐射面临的截获威胁,提出了一种基于联合截获威胁的射频隐身性能表征方法,并给出了具体的值估算方法;对机载雷达搜索任务中辐射参数的优化问题进行了建模,并采用优化算法对目标函数进行求解。通过分析典型情景下解集的分布特点,给出了从最优解集中选取最终解的方法。结果表明,提出的射频隐身性能表征方法能更好地反映截获实现过程的多域需求,提出的雷达搜索方法能够在保证探测性能的同时,提高射频隐身性能和搜索速度,能够为相控阵雷达搜索任务中参数的优化控制提供方法和依据。     

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。     

基于压缩感知的叶端定时信号参数辨识方法

叶端定时技术作为一种非接触式测量手段,在实际应用中的主要问题之一是测量信号欠采样。压缩感知方法是解决信号欠采样问题的有效手段,但由于求解过程中引入了正则化项,在提高稀疏度时,降低了幅值重构精度,而转子叶片振动幅值参数的准确辨识对于叶片动应力重构具有重要意义。将叶片振动方程设计矩阵与压缩感知字典相结合,在不依赖先验信息的条件下对叶片振动参数进行辨识。首先,根据振动方程设计矩阵形式及关注的最大振动频率,构造压缩感知字典;其次,通过叶端定时信号稀疏表示中的非零元素所在位置,从压缩感知字典中提取对应原子构成设计矩阵进而求得振动参数;接着,叶端定时（BTT）模拟仿真结果表明,所提方法可有效辨识叶片单模态、多模态振动参数;最后,开展旋转叶片振动测试试验,同时利用应变片和叶端定时系统采集振动信号,结果表明,与应变片测量结果相比,提出的方法振动频率辨识相对误差仅为0.14%;对比4个叶片的位移-应变传递比,其中偏离均值的最大百分比仅为2.15%。     

Gain-scheduled state feedback control design technique for flightvehicles

For multi-input, multi-output (MIMO) nonlinearly parameter dependent linear parameter-varying (LPV) systems with multiple parameters, a design method of gain-scheduled state feedback control using a minimum sensitivity eigenvalue assignment of the frozen parameter closed-loop system with quadratic stability checks is proposed. The proposed design method is applied to the bank-to-turn (BTT) control of a flight vehicle, and the nonlinear 6 degree of freedom (DOF) simulations are performed to show the usefulness as a gain-scheduled state feedback control scheme     

广义结构结合部参数辨识公式及算法

提出了一个利用实测传递函数辨识结构结合部参数的一般公式,给出了相应的辨识算法。由于该方法对动态测试尤特殊要求,故扩大了适用范围,方便了工程应用。在辨识算法上,避免了对实测传递函数矩阵的反复直接求逆运算,降低了辨识参数对测试误差的灵敏度,提高了辨识精度。实例验证该方法具有良好的辨识精度。     

Boundary condition modelling and identification for cantilever-like structures using natural frequencies

The actual boundary conditions of cantilever-like structures might be non-ideally clamped in engineering practice, and they can also vary with time due to damage or aging. Precise modelling of boundary conditions, in which both the boundary stiffness and the boundary mass should be modelled correctly, might be one of the most significant aspects in dynamic analysis and testing for such structures. However, only the boundary stiffness was considered in the most existing methods. In this paper, a boundary condition modelling and identification method for cantilever-like structures is proposed to precisely model both the boundary stiffness and the boundary mass using sensitivity analysis of natural frequencies. The boundary conditions of a cantilever-like structure can be parameterized by constant mass, constant rotational inertia,constant translational stiffness, and constant rotational stiffness. The relationship between natural frequencies and boundary parameters is deduced according to the vibration equation for the lateral vibration of a non-uniform beam. Then, an iterative identification formulation is established using the sensitivity analysis of natural frequencies with respect to the boundary parameters. The regularization technique is also used to solve the potential ill-posed problem in the identification procedure.Numerical simulations and experiments are performed to validate the feasibility and accuracy of the proposed method. Results show that the proposed method can be utilized to precisely model the boundary parameters of a cantilever-like structure.     

某型直升机涵道尾桨的固有频率区间估计

研究具有不确定复合材料参数的某型直升机涵道尾桨的固有频率。基于区间数学,将不确定复合材料参数用区间定量化,结合有限元刚度矩阵和质量矩阵的参数分解模型提出了一种估计其固有频率的区间参数顶点法。尾桨的建模、计算及后处理工作均是在大型工程分析软件ANSYS8.0中完成的,结果表明了区间分析方法的实用性和有效性。     

基于实测频响函数反推管路卡箍支承刚度与阻尼

为了有效创建航空发动机管路系统动力学模型,需要获得动载荷作用下管路卡箍支承刚度及阻尼。提出一种基于实测频响函数(FRF)反推卡箍支承刚度及阻尼的方法。确定了针对单管路双卡箍支撑系统的反推辨识流程;利用自编有限元创建了该管路系统的动力学模型,并给出了求解频响函数的方法;进一步,提出了基于灵敏度的卡箍支承刚度和阻尼反推辨识算法;以典型管路卡箍为例,用所提出的方法辨识出了该卡箍的支承刚度和阻尼。将辨识值回带到理论模型中,发现仿真及实测固有频率及相对应的频响函数偏差均小于9%,从而证明了研发的辨识方法的合理性。另外,辨识结果也表明卡箍的刚度及阻尼具有频率依赖性,且水平及竖直方向存在差异。      

基于ODE参数辨识的液压伺服系统灰箱建模

 针对液压伺服系统常规"白箱"建模由于参数无法精确获得导致所得模型精度不高及"黑箱"建模所得模型内部结构未知的问题,本文提出基于ODE参数辨识的液压伺服系统"灰箱"建模。首先,建立了工程上实用的系统状态空间模型, 根据系统特征确定了待辨识参数,将模型辨识问题转化为常微分方程(ODE)参数辨识问题;然后,采用正弦扫频信号作为激励信号和基于带边界约束的信赖域优化算法的初值问题方法进行参数辨识;为了和ODE参数辨识结果进行对比,本文同时采用系统的频率响应数据和最小二乘法辨识得到系统的"黑箱"传递函数模型;最后,通过大量实验验证了辨识模型的精确度。实验结果表明,本文提出的基于信赖域算法的液压伺服系统模型辨识方法可以有效处理参数的边界问题,使辨识模型既具有实际的物理意义,又与实际系统高度符合。     

PARAMETER IDENTIFICATION METHOD OF NONLINEAR JOINTS

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Longitudinal parameter identification of a small unmanned aerial vehicle based on modified particle swarm optimization

This paper describes a longitudinal parameter identification procedure for a small unmanned aerial vehicle(UAV)through modified particle swam optimization(PSO).The procedure is demonstrated using a small UAV equipped with only an micro-electro-mechanical systems(MEMS)inertial measuring element and a global positioning system(GPS)receiver to provide test information.A small UAV longitudinal parameter mathematical model is derived and the modified method is proposed based on PSO with selective particle regeneration(SRPSO).Once modified PSO is applied to the mathematical model,the simulation results show that the mathematical model is correct,and aerodynamic parameters and coefficients of the propeller can be identified accurately.Results are compared with those of PSO and SRPSO and the comparison shows that the proposed method is more robust and faster than the other methods for the longitudinal parameter identification of the small UAV.Some parameter identification results are affected slightly by noise,but the identification results are very good overall.Eventually,experimental validation is employed to test the proposed method,which demonstrates the usefulness of this method.     

基于频响函数的复合材料空间分布模量场识别

针对纤维编织复合材料宏观力学性能的非均匀特性,提出了基于频响函数(FRF)的复合材料梁空间分布弹性模量场的识别方法。采用基于灵敏度分析的方法构造优化问题,以实测和计算加速度频响残差范数最小为目标函数,进而通过迭代求解识别出复合材料梁弹性模量的空间分布。首先,以悬臂梁模型为研究对象进行数值仿真分析,验证识别方法的正确性。进一步开展复合材料梁模态试验研究,将复合材料三点弯曲试验获取的近似均质化弹性模量作为优化问题的初值;利用非接触测量方法获取模态试验中梁上各测点处的动位移响应,并计算得到各测点的加速度频响函数作为优化问题的输入值。结果表明:采用所提出的识别方法获取的模量场计算得到的梁上各处频响函数与试验获取值吻合,且所提方法在实测动响应存在噪声污染工况下是可行的。该方法能够为复合材料等效建模提供更加准确的弹性模量场。     

基于参数辨识原理的飞机参数分析及算法研究

提出一种在飞机概念设计中基于参数辨识理论的设计参数分析方法。在给定的设计重量和任务剖面要求下,利用基于物理的运动方程和动力学方程模型辨识出飞机气动力参数,并在总体性能评估的基础上进行设计参数分析,给气动设计提供了设计参考;在辨识过程中针对参数可行域离散度很高使得很难收敛到Pareto解的问题,提出了将神经网络预测模型融合到遗传操作过程,使得尽量在可行域内搜索。最后通过对某客机进行算例分析,表明基于辨识理论的参数分析方法和改进的算法是合理和可行的。与一般经验公式方法相比,该方法对布局类型的限制较小,在满足概念设计参数分析准确度要求的条件下能够为下一步的气动设计提供设计指标。     

液体火箭发动机启动过程实时在线故障检测算法

利用神经网络技术实现了液体火箭发动机启动过程的非线性辩识；提出并实现了一种基于辩识误差检验的故障检测策略。经大量实际发动机热试车数据验证表明，所提出的检测算法十分有效。由于算法所利用的监测参数均系实际发动机地面试车中所测量的参数，且检测算法在线工作时计算量十分小，因而所提出并实现的检测算法可以直接应用于工程实际。