Investigation on nonlinear lateral-torsional coupled vibration of a rotor system with substantial unbalance

Substantial unbalance may be caused by fan blade off during the operation period of gas turbine engines, and related dynamic problems are very critical to the safety design of rotor system in aero-engine. This article aims to understand lateral-torsional coupled vibration of the rotor system with substantial unbalance. The governing equation of a modified unbalanced rotor system is established based on Lagrangian approach. Then, a mathematical analytical method is proposed in which a linear approximation is derived and the Floquet theory and Hill’s method are incorporated, from which the modal characteristics of the unbalanced rotor are obtained. The modal characteristics of the unbalanced rotor system are revealed comprehensively for the first time. Furthermore, the relation between the modes and responses of the unbalanced rotor is discussed in detail. The results show that the lateral vibration and torsional vibration of the unbalanced rotor are coupled through the inertial terms in the governing equations. Due to the coupling, veering and lock-in phenomena occur between the frequencies of the forward whirl mode and the torsional mode. Furthermore, lock-in can lead to a kind of principal instability. With regard to the response of the unbalanced rotor, both natural vibration components and enforced vibration components appear in the lateral response, while only natural vibration components appear during torsional vibration. Moreover, natural vibration components play a crucial role in the response within the principal instability region and cause divergence of the vibration amplitudes in the lateral and torsional directions.     

直升机新型旋翼翼型气动特性与布局分析

利用结构网格计算流体力学(Computational fluid dynamics ,CFD)的翼型气动特性分析方法开展旋翼翼型气动特性计算。通过RAE282，NACA0012，OA212，OA207等翼型压力分布、升力和阻力等特性计算结果与试验结果的对比分析，验证了计算方法的准确性，并进一步完成了HF系列旋翼翼型的气动特性计算。基于翼型的气动特性，采用时间步进自由尾迹的旋翼气动性能分析方法开展旋翼桨叶翼型的气动布局优化设计，对悬停和前飞条件下的旋翼开展计算分析，得到两种条件下的旋翼气动特性。而后通过本文建立的优化方法开展旋翼翼型布局优化设计。     

基于自适应非结构嵌套网格的旋翼流场模拟

针对直升机旋翼CFD仿真的复杂性,提出了改进的适合于格心格式求解器的非结构嵌套网格算法。采用自适应网格技术在旋翼流场仿真的整个过程中进行网格的自适应加密和疏化操作,以更好地捕捉桨尖涡等流动细节。对于频繁的自适应过程中产生的大量重复点和无用点,采用了高效的交替数字树算法(Alternating digital tree,ADT)和标记-删除-移动算法(Mark,delete,move,MDM)进行删除,节约了不必要的存储。针对格心格式的求解器,采用了基于梯度的网格间插值方式,简化了网格间数值传递的复杂性,同时不降低求解器的精度。对CaradonnaTung旋翼悬停算例和HLISHAPE 7A旋翼悬停算例进行了模拟验证,计算值与实验值吻合,表明本文建立的方法具有良好的鲁棒性和有效性。最后,与未采用自适应时求解器对桨尖涡的捕捉效果进行了对比,结果表明本文所采用的方法可以明显地提高求解器对桨尖涡的捕捉。     

Application of improved active disturbance rejection control algorithm in tilt quad rotor

The Tilt Quad Rotor (TQR) has complex dynamics characteristics, especially in conversion mode. It is difficult to build the dynamic model of the TQR and the environmental factors have a great influence on it. To solve the problem of control in conversion mode of TQR, this paper carries out the design of the controller based on improved Active Disturbance Rejection Control (ADRC). According to the characteristics of flight in conversion mode, Tracking Differentiator (TD) with explicit model is used to solve the problem of multiple integrals when the system is high-order system. Extended State Observer (ESO) with Radial Basis Function (RBF) neural network is used to estimate and compensate for internal and external uncertainties, and the adaptive sliding mode control in Nonlinear State Error Feedback (NLSEF) is used to improve the response speed of the controller and reduce the parameters which should be tuned. Through the flight control simulation of the TQR, the validity and rationality of the control system are verified.     

基于WENO-分段线性格式的旋翼流场数值模拟

为了降低二阶JST(Jameson-schmidt-turkel)格式导致的数值耗散,发展了一套适合于格心格式的基于加权本质无振荡(Weighted essentially non-oscillatory,WENO)-分段线性格式的旋翼流场数值模拟方法。采用运动嵌套网格方法生成围绕旋翼的网格系统,主控方程选择Navier-Stokes(N-S)方程。为了更加有效地对桨尖涡等流动细节进行捕捉,在笛卡尔背景网格上采用七阶Roe-WENO格式计算对流通量;在桨叶贴体非结构网格上采用二阶精度的Roe-分段线性格式计算对流通量。时间离散采用了高效的双时间隐式LU-SGS(Lower upper symmetric Gauss-Seidel)方法进行时间推进。最后,应用上述方法对悬停状态的C-T(Caradonna-tung)旋翼和Helishape 7A旋翼进行了数值模拟,将数值计算结果与实验数据进行了对比,计算值与实验值吻合较好;并将桨尖涡模拟效果与二阶JST格式的模拟效果进行了对比。对比结果表明:本文方法能有效对旋翼流场进行计算,且在相同计算条件下,WENO-分段线性格式能够更有效地捕捉旋翼涡流场的流动特性,表明在计算旋翼涡流场时WENO-分段线性格式相比传统二阶JST格式具有更低的数值耗散。     

大气环境对直升机旋翼桨-涡干扰噪声辐射特性的影响

建立了一个适用于旋翼桨-涡干扰气动载荷计算的计算流体力学(Computational fluid dynamics,CFD)/自由尾迹耦合模型,为提高计算效率,提出了一种高效的耦合策略进行不同计算域间的信息交换策略。在此基础上,结合基于声类比法的FW-H方程构建了旋翼桨-涡干扰噪声的计算方法。应用所建立的方法,以OLS(Operational loads survey)旋翼为研究对象,深入分析了大气环境对旋翼噪声辐射特性的影响。研究发现:随着飞行高度的增加,旋翼噪声辐射特性发生了明显的改变,逐渐由桨盘前行侧转变为指向桨盘前方,噪声幅值先增大后减小。文中从桨-涡干扰距离、干扰位置变化角度计算分析了大气压力、音速及空气密度等环境参数对旋翼桨-涡干扰噪声辐射特性的影响,并得出了一些有实际意义的影响规律。     

四旋翼倾转飞行器操纵冗余设计

建立了四旋翼倾转飞行器旋翼、机翼、机身的非线性气动模型和飞行动力学模型,并在Matlab/Simulink环境下搭建了仿真模型,根据仿真模型计算各个操纵面的操纵效率,确定了不同状态下各个通道需要用到的操纵方式,结合飞行动力学模型和操纵方式,在纵向通道上进行了全包线的配平计算,表明了操纵策略的可行性。     

A novel control method for turboshaft engine with variable rotor speed based on the Ngdot estimator through LQG/LTR and rotor predicted torque feedforward

In order to compensate for the disturbance of wide variation in rotor demanded torque on power turbine speed and realize the fast response control of turboshaft engine during variable rotor speed, a cascade PID control method based on the acceleration estimator of gas turbine speed (Ngdot) and rotor predicted torque feedforward is proposed. Firstly, a two-speed Dual Clutch Transmission (DCT) model is applied in the integrated rotor/turboshaft engine system to achieve variable rotor speed. Then, an online estimation method of Ngdot based on the Linear Quadratic Gaussian with Loop Transfer Recovery (LQG/LTR) is proposed for power turbine speed cascade control. Finally, according to the cascade PID controller based on Ngdot estimator, a rotor demanded torque predicted method based on the Min-batch Gradient Descent-Neural Network (MGD-NN) is put forward to compromise the influence of rotor torque interference. The simulation results show that compared with cascade PID controller based on Ngdot estimator and the one combined with collective pitch feedforward control, the novel control method proposed can reduce the overshoot of power turbine speed by more than 20%, which possesses faster response, superior dynamic effect and satisfactory robustness performance. The control method proposed can realize the fast response control of turboshaft engine with variable rotor speed better.     

机匣处理作用下高负荷轴流压气机转/静子匹配设计研究

为了探索机匣处理作用下转/静子的轴向匹配方法以进一步提高压气机级的失速裕度,研究了静子的叶型安装角及"弯"、"掠"规律对压气机性能的影响,针对机匣处理与优化静子的组合结构进行了非定常数值模拟,阐述了该结构的扩稳机理以及压气机新的失速机制。研究结果表明,在机匣处理作用下,静子成为压气机失速的触发因素,通过对静子叶型安装角及"弯"、"掠"规律的优化均可进一步提高压气机级的失速裕度,其中改变静子"弯"型对压气机级失速裕度的改善最大。组合应用机匣处理与尖部反弯根部正弯静子后,压气机效率基本不变,失速裕度提升了80.2%,较单独使用机匣处理提升30.9%。在该组合结构作用下,压气机的失速由静子触发,静子叶根吸力面在激波作用下发生附面层分离,且与轮毂表面附面层相互作用形成角区涡,接近失速边界时,静子叶根形成"前缘溢流,尾缘反流"现象,造成静子通道的大范围堵塞,诱发压气机失速。压气机级的扩稳应充分考虑机匣处理的影响,对静子进行优化设计。     

共轴刚性旋翼气动干扰数值计算方法

建立了一个适用于共轴刚性旋翼气动特性分析的数值模拟方法。该方法采用任意拉格朗日欧拉方法(Arbitrary Lagrange Euler,ALE)描述的可压缩Navier-Stokes(N-S)方程求解流场,采用低数值耗散的Roe格式进行空间离散;使用多重嵌套网格方法以模拟双旋翼的运动。针对共轴刚性旋翼配平,引入"差量修正"策略解决了传统配平中雅克比矩阵计算复杂的问题。首先,对Harrington-2共轴双旋翼的悬停气动性能进行了计算,然后,对某2 m直径共轴双旋翼的悬停及前飞状态进行了计算,并与试验值进行了对比。结果表明:在典型状态下拉力系数的计算结果与试验值误差在3%以内,扭矩系数的计算结果与试验值误差基本在5%以内;所采用的数值计算方法对旋翼涡尾迹特征具有较高的捕捉精度,可以有效模拟共轴刚性旋翼悬停和小速度前飞下的复杂流场及其细节特征。