Gust response analysis and wind tunnel test for a high-aspect ratio wing

A theoretical nonlinear aeroelastic response analysis for a flexible high-aspect ratio wing excited by harmonic gust load is presented along with a companion wind tunnel test. A multidisci-plinary coupled numerical calculation is developed to simulate the flexible model wing undergoing gust load in the time domain via discrete nonlinear finite element structural dynamic analysis and nonplanar unsteady vortex lattice aerodynamic computation. A dynamic perturbation analysis about a nonlinear static equilibrium is also used to determine the small perturbation flutter bound-ary. A novel noncontact 3-D camera measurement analysis system is firstly used in the wind tunnel test to obtain the spatial large deformation and responses. The responses of the flexible wing under different static equilibrium states and frequency gust loads are discussed. The fair to good quanti-tative agreements between the theoretical and experimental results demonstrate that the presented analysis method is an acceptable way to predict the geometrically nonlinear gust response for flex-ible wings.     

Flutter and gust response analysis of a wing model including geometric nonlinearities based on a modified structural ROM

In this paper, a framework is established for nonlinear flutter and gust response analyses based on an efficient Reduced Order Model (ROM). The proposed method can be used to solve the aeroelastic response problems of wings containing geometric nonlinearities. A structural modeling approach presented herein describes the stiffness nonlinearities with a modal formulation. Two orthogonal spanwise modes describe the foreshortening effects of the wing. Dynamic linearization of the ROM under nonlinear equilibrium states is applied to a nonlinear flutter analysis, and the fully nonlinear ROM coupled with the non-planar Unsteady Vortex Lattice Method (UVLM) is applied to gust response analysis. Furthermore, extended Precise Integration Method (PIM) ensures accuracy of the dynamic equation solutions. To demonstrate applicability and accuracy of the method presented, a wind tunnel test is conducted and good agreements between theoretical and test results of nonlinear flutter speed and gust response deflection are reached. The method described in this paper is suitable for predicting the nonlinear flutter speed and calculating the gust responses of a large-aspect-ratio wing in time domain. Meanwhile, the results derived highlight the effects of geometric nonlinearities obviously.     

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.     

超声速气流中受热壁板的二次失稳型颤振

研究了超声速气流中受热壁板的非线性气动弹性响应,发现了一种新的动态失稳现象——二次失稳型颤振。基于von Karman非线性应变-位移关系、Reissner-Mindlin板理论和一阶活塞理论建立超声速气流中三维壁板的有限元模型。通过数值算例,研究了超声速气流中受热壁板发生二次失稳型颤振的条件,并运用非线性振动理论分析了二次失稳型颤振的机理。研究表明,超声速气流中受热壁板在平衡态的稳定性未发生变化时,也会因系统参数的变化引起气动弹性响应性质的突变,导致壁板的二次失稳型颤振。二次失稳型颤振能否发生不仅受到气流速压和壁板温升的影响,而且还与初始扰动有关。当扰动引起壁板的初始变形较小时,不能激发出二次失稳型颤振,壁板的气动弹性响应最终收敛到屈曲平衡态。应用二次失稳型颤振理论和分析方法,确定了前人给出的一个金属壁板模型的热颤振边界的风洞试验结果,而且计算结果与试验结果符合良好,从而对这一壁板热颤振现象的风洞试验结果作出了较合理的理论解释。     

Transient aeroelastic responses and flutter analysis of a variable-span wing during the morphing process

To investigate the transient aeroelastic responses and flutter characteristics of a variablespan wing during the morphing process,a novel frst-order state-space aeroelastic model is proposed.The time-varying structural model of the morphing wing is established based on the Euler-Bernoulli beam theory with time-dependent boundary conditions.A nondimensionalization method is used to translate the time-dependent boundary conditions to be time-independent.The time-domain aerodynamic forces are calculated by the reduced-order unsteady vortex lattice method.The morphing parameters,i.e.,wing span length and morphing speed,are of particular interest for understanding the fundamental aeroelastic behavior of variable-span wings.A test case is proposed and numerical results indicate that the flutter characteristics are sensitive to both of the two morphing parameters.It could be noticed that the aeroelastic characteristics during the wing extracting process are more serious than those during the extending process at the same morphing speed by transient aeroelastic response analysis.In addition,a faster morphing process can get better aeroelastic performance while the mechanism comlexity will arise.     

Hypersonic flutter and flutter suppression system of a wind tunnel model

The aeroelastic behavior of a thin flat rudder model was numerically simulated and experimentally investigated in a hypersonic wind tunnel. In particular, a flutter suppression system taking advantage of collision within small gaps was proposed and a novel system for the flutter simulation of the whole nonlinear aeroelastic system including the flutter suppression system was developed. First, the critical flutter dynamic pressure of the rudder without the flutter suppression system was calculated with different methods. Then, the whole nonlinear aeroelastic system, including theflutter suppression system, was simulated to design the gap size. Finally, the flutter suppression system was experimentally validated in a hypersonic wind tunnel operating at Mach number 5. The typical phenomenon of Limit Cycle Oscillation(LCO) was observed, avoiding the structural failure of the model and the consistency between numerical and experimental results was demonstrated.The proposed suppression system can improve the design and reusability of test models of hypersonic flutter experiments.     

飞机全动平尾颤振特性风洞试验

高机动飞机全动平尾颤振设计的重要手段就是颤振模型风洞试验。针对一个飞机的全动平尾,采用了单独平尾和中央固支的后机身-平尾组合体两种方案的低速颤振风洞试验,研究平尾的基本颤振耦合机理以及后机身垂尾气动力干扰的影响。然后采用半模跨声速颤振风洞试验研究马赫数对颤振特性的影响和机翼干扰对平尾颤振边界的影响。介绍了低、高速颤振模型的设计和风洞试验的结果,并综合形成了完整的平尾颤振特性规律,尤其在跨声速颤振风洞试验中,使用不同超重系数的颤振模型,研究了质量参数对颤振边界的影响规律。风洞试验结果显示,全动平尾颤振特性研究必须考虑后机身的弹性支持,并且需要使用不同的模型方案考虑机身、机翼和垂尾的气动力干扰,跨声速风洞模型需要考虑超重系数的影响。该研究获得了全动平尾颤振特性的一般规律,可作为相关飞行器设计的参考。     

低速流场中柔性悬臂板的后颤振响应

建立了一个新的非线性气动弹性模型,对低速流场中柔性悬臂板的后颤振响应特性进行了分析。建模中考虑了结构几何非线性、气动力非线性以及两者之间的强耦合效应。通过实验数据对所建立的气动弹性模型进行了验证。发现在低速流场中柔性悬臂板可能会以周期加倍的方式进入混沌运动。结构几何非线性效应和翼尖涡引起的非定常气动力效应对柔性悬臂板的结构响应有显著影响,而尾涡变形引起的非定常气动力对结构运动的影响较小。还研究了不同耦合算法的差异,给出了小展弦比大柔性结构非线性气动弹性数值仿真时耦合策略的选择依据。     

Gust load alleviation wind tunnel tests of a large-aspect-ratio flexible wing with piezoelectric control

An active control technique utilizing piezoelectric actuators to alleviate gust-response loads of a large-aspect-ratio flexible wing is investigated. Piezoelectric materials have been exten-sively used for active vibration control of engineering structures. In this paper, piezoelectric mate-rials further attempt to suppress the vibration of the aeroelastic wing caused by gust. The motion equation of the flexible wing with piezoelectric patches is obtained by Hamilton's principle with the modal approach, and then numerical gust responses are analyzed, based on which a gust load alle-viation (GLA) control system is proposed. The gust load alleviation system employs classic propor tional-integral-derivative (PID) controllers which treat piezoelectric patches as control actuators and acceleration as the feedback signal. By a numerical method, the control mechanism that piezo-electric actuators can be used to alleviate gust-response loads is also analyzed qualitatively. Further-more, through low-speed wind tunnel tests, the effectiveness of the gust load alleviation active control technology is validated. The test results agree well with the numerical results. Test results show that at a certain frequency range, the control scheme can effectively alleviate the z and x wing-tip accelerations and the root bending moment of the wing to a certain extent. The control system gives satisfying gust load alleviation efficacy with the reduction rate being generally over 20%.     

冲击风作用下大跨屋盖多模态随机风致响应研究

雷暴冲击风是一种近地面短时产生的瞬态强风,它与传统的边界层风场特征具有明显的差别,冲击风将会引起屋盖的强烈振动,甚至发生破坏.本文根据混合随机模型,详细研究了冲击风风场的数值模拟方法.应用Wood竖直风剖面方程与Holmes经验模型模拟平均风场,使用稳态高斯随机过程模拟脉动风场,模拟的风场与实际的雷暴冲击风较为一致.结合多阶模态加速度法和等效风荷载原理,详细推导了大跨屋盖随机风致响应的计算方法.结合边界层风洞试验,比较冲击风产生的表面风压特性,计算得到屋盖冲击风致动力响应时程,并研究了冲击风作用下大跨屋盖荷载风效应系数和位移风效应系数的分布特点.研究结果可作为评估大跨屋盖冲击风致响应的一种参考.     

Nonlinear Aeroelastic Response of High-aspect-ratio Flexible Wings

The aeroelastic analysis of high-altitude, long-endurance (HALE) aircraft that features high-aspect-ratio flexible wings needs take into account structural geometrical nonlinearities and dynamic stall. For a generic nonlinear aeroelastic system, besides the stability boundary, the characteristics of the limit-cycle oscillation (LCO) should also be accurately predicted. In order to conduct nonlinear aeroelastic analysis of high-aspect-ratio flexible wings, a first-order, state-space model is developed by combining a geometrically exact, nonlinear anisotropic beam model with nonlinear ONERA (Edlin) dynamic stall model. The present investigations focus on the initiation and sustaining mechanism of the LCO and the effects of flight speed and drag on aeroelastic behaviors. Numerical results indicate that structural geometrical nonlinearities could lead to the LCO without stall occurring. As flight speed increases, dynamic stall becomes dominant and the LCO increasingly complicated. Drag could be negligible for LCO type, but should be considered to exactly predict the onset speed of flutter or LCO of high-aspect-ratio flexible wings.     

带有气动及结构非线性的二元机翼颤振分析

研究了翼型在低马赫数条件下的非定常气动特性,从翼型表面气流运动的角度对Leishman-Beddoes(L-B)模型进行了修正,并在此基础上建立了适合低马赫数颤振研究且带有气动及结构非线性的二元机翼气弹系统分析模型.对比低马赫数翼型气动载荷试验结果表明对L-B模型的修正是有效的,且机翼颤振试验结果亦验证了二元机翼气弹分析模型.研究结果表明:二元机翼气弹系统的失速颤振与初始变距角和来流速度密切相关,且耦合的三次非线性变距和浮沉刚度是造成系统呈现准周期运动的主要原因.      

一种CFD/CSD耦合计算方法

针对柔性大展弦比机翼气动弹性分析和主动弹性机翼(AAW)设计发展了一种计算流体动力学(CFD)和计算结构动力学(CSD)的耦合计算方法。其主要思想是采用在同一物理时间弱耦合求解CFD/CSD技术。气动力采用非定常N-S方程的双时间有限体积求解技术,结构响应则采用有限元数值求解技术。CFD和CSD耦合计算的边界信息(气动力和网格)由所设计的界面程序传输。网格信息传输采用守恒体积转换(CVT)方法将CSD计算结构响应位移插值到CFD网格点上。变形已有的CFD网格技术用以确定CFD的变形网格。以位移或载荷的迭代误差为判断耦合计算的收敛标准。最后得到了机翼在Ma=0.8395,α=5.06°时CFD/CSD耦合计算的收敛值。针对计算结果分析了机翼受静气动弹性过程中结构响应和气动特性随时间变化的效应。初步研究结果表明:这种弱耦合方法求解非线性气动弹性问题是可行的。     

Closed loop roll control using aeroelastic information

A mathematical model of the rolling dynamics of a flexible wing is derived by experimental measurements and 3D potential flow analysis. Based on the mathematical model which includes one aeroelastic parameter, control laws are designed which almost completely eliminate the problem of reduced aileron efficiency for increasing airspeed. Finally, the control laws are tested on the model in the wind tunnel, and good correlation with computer simulations is achieved, except when a structural mode is excited.     

结构非线性颤振半主动控制的理论及实验研究

对结构非线性颤振的半主动控制即“颤振驯化”方案进行了理论及实验研究。以二无非线性颤振系统为对象,分析了半主动控制的原理及带有半主动控制环节后系统的响应特性。设计了相应的颤振半主动控制的风洞实验模型,系统响应信号的监测处理、刚度调节机构的运转控制由以8031芯片为主体的单片机来完成。风洞实验取得了良好的控制效果。     

柔性翼微型飞行器水平阵风响应特性实验研究

设计研制了一种飞翼布局的柔性翼和刚性翼微型飞行器,并在风洞中研究了两种微型飞行器在定常风和水平阵风作用下的气动特性,给出了柔性翼和刚性翼微型飞行器气动特性的差别。研究结果表明：不论是在定常风情况下,还是在水平阵风环境下,柔性翼的气动特性要优于刚性翼结构,柔性翼具有延迟失速和缓和阵风影响的能力,有利于稳定飞行。PIV测量结果表明：由于柔性翼的变形使刚性翼和柔性翼翼面上的流态不同,从而使微型飞行器的气动特性发生改变。     

Recent advance in nonlinear aeroelastic analysis and control of the aircraft

A review on the recent advance in nonlinear aeroelasticity of the aircraft is presented in this paper. The nonlinear aeroelastic problems are divided into three types based on different research objects, namely the two dimensional airfoil, the wing, and the full aircraft. Different non- linearities encountered in aeroelastic systems are discussed firstly, where the emphases is placed on new nonlinear model to describe tested nonlinear relationship. Research techniques, especially new theoretical methods and aeroelastic flutter control methods are investigated in detail. The route to chaos and the cause of chaotic motion of two-dimensional aeroelastic system are summarized. Var- ious structural modeling methods for the high-aspect-ratio wing with geometric nonlinearity are dis- cussed. Accordingly, aerodynamic modeling approaches have been developed for the aeroelastic modeling of nonlinear high-aspect-ratio wings. Nonlinear aeroelasticity about high-altitude long- endurance （HALE） and fight aircrafts are studied separately. Finally, conclusions and the chal- lenges of the development in nonlinear aeroelasticity are concluded. Nonlinear aeroelastic problems of morphing wing, energy harvesting, and flapping aircrafts are proposed as new directions in the future.     

一种基于亚临界响应的颤振稳定性边界预测新方法

基于地面模态试验事先获取的结构模态参数,通过弹性机翼在气流中的亚临界响应,解算出作用在机翼上的非定常模态气动力系数。以弹性机翼的模态位移作为系统输入,模态气动力系数作为系统输出,通过辨识方法获得弹性机翼振动的气动力模型。在时域内耦合结构运动方程和气动力模型,建立基于试验数据的气动弹性稳定性分析模型。通过分析系统稳定性随动压的变化规律,获得弹性机翼的颤振稳定性特性。与经典颤振边界外推方法的主要区别在于该方法实质上只需要一次亚临界响应试验即可预测颤振临界点,可极大降低颤振试验的风险和成本。该方法既可用于颤振风洞试验,也可用于颤振试飞。     

灾害天气下大跨屋盖多模态随机离散风致响应研究

研究了具有空间相关性随机风荷载有色噪声过程的数学模型,讨论了用随机白噪声过程滤波生成脉动风荷载的方法。高阶振型对大跨屋盖随机风致响应的贡献不可忽略。本文根据模态解耦原理并结合精细时程积分法,提出了多模态随机离散精细积分法,推导了大跨屋盖风致响应与风效应系数的计算公式。通过大跨屋盖刚性和气弹模型风洞试验,计算了屋盖随机风致动力响应时程。同时研究了大跨屋盖的荷载风效应系数和位移风效应系数的分布情况,结果与有限元分析较吻合,验证了多模态随机离散精细积分法的正确性,证实了该方法是一种简便、快速、准确的大跨屋盖风致响应计算方法。     

基于CFD/CSD的非线性气动弹性分析方法

提出了一种基于计算流体力学/计算结构动力学(CFD/CSD)的非线性气动弹性分析方法,并应用于切尖三角翼的非线性颤振和极限环振荡(LCO)研究。该方法将非线性有限元(FEM)和CFD计算相结合,并辅以高精度的界面插值,能够分析结构和气动非线性共存的气动弹性问题。结构部分以四边形平板壳元为基础,采用更新的拉格朗日(UL)方法分析结构大变形引起的几何非线性问题。气动部分以Navier-Stokes(N-S)方程作为控制方程,采用CFD方法计算跨声速气动力。机翼的非线性颤振计算表明了方法的有效性。最后应用该方法研究了切尖三角翼的LCO现象,其计算精度明显优于已有结果。