Stall flutter prediction based on multi-layer GRU neural network

The modeling of dynamic stall aerodynamics is essential to stall flutter, due to the flow separation in a large-amplitude pitching oscillation process. A newly neural network based Reduced Order Model (ROM) framework for predicting the aerodynamic forces of an airfoil undergoing large-amplitude pitching oscillation at various velocities is presented in this work. First, the dynamic stall aerodynamics is calculated by solving RANS equations and the transitional SST-γ model. Afterwards, the stall flutter bifurcation behavior is calculated by the above CFD solver coupled with structural dynamic equation. The critical flutter speed and limit-cycle oscillation amplitudes are consistent with those obtained by experiments. A newly multi-layer Gated Recurrent Unit (GRU) neural network based ROM is constructed to accelerate the calculation of aerodynamic forces. The training and validation process are carried out upon the unsteady aerodynamic data obtained by the proposed CFD method. The well-trained ROM is then coupled with the structure equation at a specific velocity, the Limit-Cycle Oscillation (LCO) of stall flutter under this flow condition is predicted precisely and more quickly. In order to predict both the critical flutter velocity and LCO amplitudes after bifurcation at different velocities, a new ROM with GRU neural network considering the variation of flow velocities is developed. The stall flutter results predicted by ROM agree well with the CFD ones at different velocities. Finally, a brief sensitivity analysis of two structural parameters of ROM is carried out. It infers the potential of the presented modeling method to depict the nonlinearity of dynamic stall and stall flutter phenomenon.     

基于本征正交分解的叶片碰摩系统降阶方法

针对叶片碰摩响应求解问题,提出了采用本征正交分解进行动力学降阶的方法。通过对快照矩阵进行本征正交分解生成投影子空间,将系统动力学方程投影到子空间进行模型降阶,并结合数值积分方法进行了碰摩响应求解。基于降阶模型分析了不同转速及侵入量参数下的叶片碰摩响应,并与全阶模型进行了对比。结果表明:降阶模型的时域响应幅值偏差小于5%,计算效率了提升98.4%;通过改变叶片转速、侵入量参数验证了降阶模型的鲁棒性,并且发现随着转速、侵入量的增加,本征正交模态能量在低阶与高阶之间发生转移,并呈现出不同的传递规律,由转速引起的模态能量转移与结构的固有频率存在一定关系。该方法及结论可为叶片碰摩分析及故障诊断提供依据。      

Gaussian mixture model based adaptive control for uncertain nonlinear systems with complex state constraints

This paper addresses an uncertain nonlinear control system problem with complex state constraints and mismatched uncertainties. A novel Gaussian Mixture Model(GMM) based adaptive PID-Nonsingular Terminal Sliding Mode Control(NTSMC)(GMM-adaptive-PID-NTSMC)method is proposed. It is achieved by combining a GMM based adaptive potential function with a novel switching surface of PID-NTSMC. Next, the stability of the closed-loop system is proved.The main contribution of this paper is that the GMM meth...     

Revisiting the space-time gradient method: A time-clocking perspective,high order difference time discretization and comparison with the harmonic balance method

This paper revisits the Space-Time Gradient (STG) method which was developed for efficient analysis of unsteady flows due to rotor–stator interaction and presents the method from an alternative time-clocking perspective. The STG method requires reordering of blade passages according to their relative clocking positions with respect to blades of an adjacent blade row. As the space-clocking is linked to an equivalent time-clocking, the passage reordering can be performed according to the alternative time-clocking. With the time-clocking perspective, unsteady flow solutions from different passages of the same blade row are mapped to flow solutions of the same passage at different time instants or phase angles. Accordingly, the time derivative of the unsteady flow equation is discretized in time directly, which is more natural than transforming the time derivative to a spatial one as with the original STG method. To improve the solution accuracy, a ninth order difference scheme has been investigated for discretizing the time derivative. To achieve a stable solution for the high order scheme, the implicit solution method of Lower-Upper Symmetric Gauss-Seidel/Gauss-Seidel (LU-SGS/GS) has been employed. The NASA Stage 35 and its blade-count-reduced variant are used to demonstrate the validity of the time-clocking based passage reordering and the advantages of the high order difference scheme for the STG method. Results from an existing harmonic balance flow solver are also provided to contrast the two methods in terms of solution stability and computational cost.     

复合材料薄壁梁扭转的高次翘曲理论

利用翘曲连续修正概念导出表示剖面翘曲位移的形函数序列,据此建立单闭室复合材料薄壁梁扭转分析的高次翘曲理论,并结合分层的具体情况,考察分层对复合材料薄壁梁扭转翘曲的影响。算例表明,该高次翘曲理论具有很好的收敛性。     

飞机电网零序阻抗的数值计算

从麦克斯韦方程出发,推导了飞机电网零序阻抗参数的计算公式。对几种不同敷设方式载流导线的零序阻抗进行了计算,其结果与标准值较为接近。这种数值计算方法比传统的解析近似估算方法更为合理和准确。     

高维局部非线性转子-轴承动力系统的稳定性和分岔

采用模态缩减方法对具有非解析轴承的高维局部非线性转子系统进行自由度降阶。提出基于变分不等方程的有限元互补解的的数值方法,在几乎不增加计算量的情况下,使得实际轴承油膜力的Jacobian矩阵可与油膜力自身计算同时完成,并取得协调一致的精度。结合打靶法和Floquet理论对实际转子-轴承系统的非线性不平衡响应及其分岔行为进行计算分析,数值结果表明,所提出的方法不仅极大地降低了计算量,而且具有足够高的精度。     

制导航空炸弹变结构控制器设计

针对制导航空炸弹的滚转通道,设计了一种具有线性部分变结构控制器。基于弹体模型的时变特性,该控制器首先设计切换函数以确定滑动模态动特性,附加以参数变化范围内的定常模型为对象的线性部分用以控制趋近模态。对某型号制导炸弹设计变结构控制律,仿真结果表明能较好地适应系统的参数变化,提高控制精度,系统具有良好性能。     

关于建立高阶差分格式的问题

为了能在不太密的网格上捕捉到流场的细致结构。通常采用高阶精度的差分 式进行数值模拟。为能抑制计算中和在激波附近产生的虚假波动,本文从物理构思出发,提出了建立高阶格式的两个基本原则,作者称之为抑制波动的原则和稳定性原则。     

高精度差分格式及多尺度流场特性的数值模拟

简要介绍了作者近年发展的高精度差分格式,给出了两类格式精度的分析方法,分析了粘性面差分逼近所引入的耗散量低亏效应。文中按群速度将格式分为快型,慢型和混合型三类。对每类格式分析了高频波的传播特性。