基于径向基函数的网格变形及非线性气动弹性时域仿真研究

为开展非线性气动弹性研究,基于非线性结构有限元软件NASTRAN和自主研制的多块结构化计算流体力学(CFD)求解器,开发了一套基于计算流体力学/计算结构动力学(CFD/CSD)耦合求解方法的气动弹性时域仿真程序.该程序采用径向基函数(RBF)交换两套求解器之间的数据并进行网格变形.为提高RBF方法的效率,构造了基于多次插值的空间待插值点精简算法.在多次插值过程中,每次插值的对象为上次插值的误差,并同时限制插值区域,以此实现了空间待插值网格数的精简.数个网格变形的算例表明该方法可支持大变形运动,并且具有较高的计算效率.采用此程序开展了AGARD 445.6机翼颤振计算、大展弦比机翼的静气动弹性计算与切尖三角翼极限环振荡(LCO)现象的动气动弹性仿真,结果揭示了当机翼展弦比较大或者响应幅值较大时,结构非线性对于气动弹性有显著影响.     

Static aeroelastic analysis of very flexible wings based on non-planar vortex lattice method

A rapid and efficient method for static aeroelastic analysis of a flexible slender wing when considering the structural geometric nonlinearity has been developed in this paper. A non-planar vortex lattice method herein is used to compute the non-planar aerodynamics of flexible wings with large deformation. The finite element method is introduced for structural nonlinear statics analysis. The surface spline method is used for structure/aerodynamics coupling. The static aeroelastic characteristics of the wind tunnel model of a flexible wing are studied by the nonlinear method presented, and the nonlinear method is also evaluated by comparing the results with those obtained from two other methods and the wind tunnel test. The results indicate that the traditional linear method of static aeroelastic analysis is not applicable for cases with large deformation because it produces results that are not realistic. However, the nonlinear methodology, which involves combining the structure finite element method with the non-planar vortex lattice method, could be used to solve the aeroelastic deformation with considerable accuracy, which is in fair agreement with the test results. Moreover, the nonlinear finite element method could consider complex structures. The non-planar vortex lattice method has advantages in both the computational accuracy and efficiency. Consequently, the nonlinear method presented is suitable for the rapid and efficient analysis requirements of engineering practice. It could be used in the preliminary stage and also in the detailed stage of aircraft design.     

一类强耦合强不确定性强非线性快时变系统复合控制

分析一类强耦合强不确定性强非线性快时变系统的控制问题。基于系统力学特性和动力学特性，提出一种复合控制方法。该复合控制方法由三个核心模块组成，依次为强耦合强不确定性控制模块、强非线性快时变控制模块、智能调度模块。以某典型强耦合强不确定性强非线性快时变特性飞行器对象为例，给出了采用该复合控制方法的详细设计。最后，在精确的仿真模型基础上，考虑天地不一致性情况，进行了多组仿真分析，仿真结果表明，该方法有效、可靠。     

Topology optimization of joint load control with geometrical nonlinearity

This paper presents an extended topology optimization approach considering joint load constraints with geo-metrical nonlinearity in design of assembled structures. The geometrical nonlinearity is firstly included to reflect the structural response and the joint load distribution under large deformation. To avoid a failure of fastener joints, topology optimization is then carried out to minimize the structural end compliance in the equilibrium state while controlling joint loads intensities over fasteners. During nonlinear analysis and optimization, a novel implementation of adjoint vector sensitivity analysis along with super element condensation is introduced to address numerical instability issues. The degrees of freedom of weak regions are condensed so that their influences are excluded from the iterative Newton-Raphson (NR) solution. Numerical examples are presented to validate the efficiency and robustness of the proposed method. The effects of joint load constraints and geometrical nonlinearity are highlighted by comparing numerical optimization results.     

Nonlinear characteristic investigation of magnetorheological damper-rotor system with local nonlinearity

Magnetorheological (MR) dampers show superior performance in reducing rotor vibration, but their high nonlinearity will cause nonsynchronous response, resulting in fatigue and instability of rotors. Herein, we are devoted to the investigation of the nonlinear characteristics of MR damper mounted on a flexible rotor. First, Reynolds equations with bilinear constitutive equations of MR fluid are employed to derive nonlinear oil film forces. Then, the Finite Element (FE) model of rotor system is developed, where the local nonlinear support forces produced by MR damper and its coupling effects with the rotor are considered. A hybrid numerical method is proposed to solve the nonlinear FE motion equations of the MR damper-rotor system. To validate the proposed model, a rotor test bench with two dual-coil MR dampers is constructed, upon which experimental studies on the dynamic characteristics of MR damper-rotor system are carried out. The effects of different system parameters, including rotational speed, excitation current and amount of unbalance, on nonlinear dynamic behaviors of MR damper-rotor system are evaluated. The results show that the system may appear chaos, jumping, and other complex nonlinear phenomena, and the level of the nonlinearity can be effectively alleviated by applying suitable excitation current and oil supply pressure.     

系统非线性对主字母安控性能影响分析

针对新型的主字母安控体制特点,为了分析非线性对主字母安控体制的影响,对主字母安控体制工作原理和非线性产生原理进行了理论推导.通过对“11选3”主字母安控体制的实例分析、解调性能计算与性能仿真,验证了系统非线性对解调性能与安控可靠性的影响.仿真结果表明:调制指数的大小直接影响解调性能,调制指数太小会使主字母信号能量变低,调制指数太大则会导致非线性,所以需要选择合理的调制指数应用在体制设计中;信道非线性在放大器饱和放大时出现,会导致字母能量分散、信噪比恶化.     

用能量法研究玻璃幕墙面板的非线性弯曲

由于玻璃面板是典型的双模量材料板,所以应该采用双模量弹性理论研究玻璃面板在侧向力作用下的大位移问题。玻璃面板在侧向力作用下发生变形时,会形成各向同性的拉伸区和压缩区。因此,可把玻璃面板看成两种各向同性材料组成的层合板,采用双模量弹性理论建立了玻璃面板在侧向力作用下的静力平衡方程,利用静力平衡方程确定了玻璃面板的中性面位置。在此基础上,采用能量法研究了玻璃面板在侧向力作用下大位移问题,把能量法的计算结果与有限元计算结果进行了比较,验证了能量法的计算结果是可靠的。算例分析表明,玻璃面板拉压弹性模量相差较大,其挠度计算不宜采用相同弹性模量经典弹性理论,而应该采用双模量弹性理论。     

Static aeroelastic analysis including geometric nonlinearities based on reduced order model

This paper describes a method proposed for modeling large deflection of aircraft in non-linear aeroelastic analysis by developing reduced order model (ROM). The method is applied for solving the static aeroelastic and static aeroelastic trim problems of flexible aircraft containing geo-metric nonlinearities; meanwhile, the non-planar effects of aerodynamics and follower force effect have been considered. ROMs are computational inexpensive mathematical representations com-pared to traditional nonlinear finite element method (FEM) especially in aeroelastic solutions. The approach for structure modeling presented here is on the basis of combined modal/finite ele-ment (MFE) method that characterizes the stiffness nonlinearities and we apply that structure mod-eling method as ROM to aeroelastic analysis. Moreover, the non-planar aerodynamic force is computed by the non-planar vortex lattice method (VLM). Structure and aerodynamics can be cou-pled with the surface spline method. The results show that both of the static aeroelastic analysis and trim analysis of aircraft based on structure ROM can achieve a good agreement compared to anal-ysis based on the FEM and experimental result.     

基于微分几何方法的大迎角导弹解耦控制

导弹在大迎角飞行时，非线性及耦合严重，而且大迎角本身引起的非线性和耦合也必须加以考虑。采用微分几何方法，通过在控制系统中人为地加入耦合信息，以抵消弹体运动的交叉耦合，设计大迎角导弹解耦控制系统。并对结果进行了仿真验证，证实所设计的控制系统可以很好地控制导弹的大迎角飞行。     

柔性悬臂梁的振动特性与等效线性化方法的局限性

等效线性化方法是大变形柔性梁振动特性分析的一种高效近似处理方法,其成立前提是必须满足小振幅假设.传统完全非线性分析方法通常难以定量表征几何非线性效应对结构参量的影响,不利于开展定性分析,也无法满足降阶建模的需要.以大变形柔性悬臂梁为研究对象,将静态大变形对梁振动特性的影响直接等效为对截面惯性矩和质量密度分布变化的影响,构造了一种物理指示意义更加明确的等效线性化方法,并通过对比验证了该方法的有效性.为进一步讨论等效线性化方法的局限性,设计制作了一根大变形柔性悬臂梁,采用定响应幅的定频稳态激励法测量了悬臂梁在3种不同振幅水平下的频率响应函数(FRF)曲线.计算与试验结果的对比分析表明:静态大变形条件下,当悬臂尖端的动态位移振幅与静态变形幅值的比值低于10％时,结构的FRF曲线变化非常小,系统可视做线性系统,等效线性化方法的计算误差≤6％,算法有效;当悬臂尖端的动态位移振幅与静态变形幅值的比值达到20％时,测试FRF的幅值在共振点明显降低,等效线性化理论的计算结果误差偏高50％以上,等效线性化理论将不再适用;试验悬臂梁的振动非线性效应主要受阻尼的非线性特性控制.