结构非线性颤振分析的KBM法及实验对比

本文讨论由初偏间隙型弹簧连接的三角翼带外挂系统的极限环颤振。分别用基于ＫＢＭ法一次渐近解、二次渐近解的等效线化方法对初偏间隙型非线性作等效线化处理，并将颤振分析结果与模型风洞实验结果作对比。结果表明，无论是对于单稳定极限环颤振或是双稳定极限环颤振，基于ＫＢＭ法二次渐近解的等效线化分析都比描述函数法具有更高的精度。对于初偏间隙型非线性，当极限环幅值不大时，高次谐波项对系统的响应影响较大。     

具有操纵面立方非线性机翼的混沌响应

以二元机翼-操纵面立方非线性系统为研究对象,基于能量方法和活塞理论建立了三自由度二维翼段-操纵面的运动微分方程,采用当量线性化方法计算出系统极限环颤振频率,然后将操纵面孤立成单自由度系统,借用现有的单自由度杜芬振子的混沌运动的解析条件来分析操纵面在极限环颤振频率下的响应情况,从而预估原系统的混沌运动存在区域,并用数值积分方法研究了系统的复杂动力学响应。结果表明:在理论分析所获得的混沌运动区域内,系统确实存在混沌运动,但从数值模拟的结果上看,在上述的区域内,系统还存在一些狭窄的周期窗口。     

流线型箱梁颤振形态非线性特征的风洞试验研究

以南京长江第四大桥流线型箱梁断面为研究对象，基于节段模型自由振动风洞试验，详细测试了断面在不同攻角下的颤振性能。探讨了断面运动形态非线性特征随风速和攻角的演化规律，及非线性特征演化的动力学机理。研究表明，负攻角下，动力系统多非稳态极限环随风速增大逐渐减小的特征使得系统响应依赖于初始振幅，并导致了颤振性能随初始激励增大急剧减弱的现象；正攻角下，多稳态极限环随风速增大而增大的特征使得系统颤振响应表征为典型的软颤振；高风速下，极限环的消失使得系统响应表征为硬颤振，且不依赖于初始振幅；最后，从模态阻尼随振幅的演化规律，解释了系统颤振形态在各攻角下异同的动力学机理。     

偏航 侧摆联接刚度对带外挂三角机翼颤振特性的影响

本文对一带外挂三角翼模型进行了颤振理论计算和风洞实验。分析了机翼/外挂系统偏航及侧摆联接刚度对颤振特性的影响,并在低速风洞中进行了模型吹风实验。实验结果与理论计算相吻合,根据研究结果,得出了一些有参考价值的结论。     

带外挂后掠机翼极限环颤振的分析与实验研究

从理论及实验两方面，研究了带外挂后掠机翼的极限环颤振分叉现象，得到了稳定、半稳定及不稳定极限环。理论分析采用谐波平衡法，并通过在时域拟合非定常空气动力后，用数值积分法对所得结果进行了比较。风洞实验结果验证了理论分析结果的正确性。     

二元机翼的双稳环颤振及多重环分叉分析

本文利用等效线化及数值计算方法,研究了带初偏间隙型非线性俯仰刚度的二元颤振系统的双稳态极限环颤振特性,给出了极限环稳定区间的稳定性判据.分别分析了初偏参数及速度参数对非线性颤振系统分叉曲线的影响及系统的分叉特性,并用数值计算方法得到精确的分叉参数值.本文为动力学系统的分叉研究提供了一个有实际意义的力学模型.     

基于CFD/CSD耦合的颤振与动载荷分析方法

采用CFD/CSD耦合方法,建立了气动弹性仿真系统。基于系统辨识的方法,使用Volterra级数建立了降阶模型(ROM),实现了颤振边界的快速求解,分别使用CFD/CSD全耦合方法与ROM完成了AGARD 445.6标模的颤振分析,计算结果与实验相符较好。使用ROM完成了带边条平直翼的颤振分析。使用CFD/CSD耦合方法计算了此机翼在飞行动压下的气弹响应,结果表明即使在颤振边界内,仍然有可能出现极限环振荡（LCO）。对此,分析了其气弹响应中的动载情况。结果表明基于CFD/CSD耦合的方法可以真实地仿真气弹响应过程,准确地分析气弹响应中的动态载荷情况     

二元翼段间隙非线性颤振的模糊控制

根据模糊控制不依赖于被控对象的精确模型,对参数变化不敏感,具有很强鲁棒性的特点,提出一种模糊逻辑控制器,对包含间隙的二元机翼极限环振荡进行控制,并对其响应机理进行探讨和研究。数值仿真结果表明,模糊控制器能够有效抑制非线性极限环振动,使系统迅速达到稳定,提高系统颤振速度。     

考虑弯扭耦合运动的旋转带冠叶片非线性气动弹性分析

针对旋转叶片的气动弹性问题,将带叶冠的叶片简化为末端加质量块的均质悬臂梁。悬臂梁受到离心力和气动力作用,发生弯曲和扭转耦合振动变形。利用Hamilton原理建立了叶片的偏微分运动方程。对方程无量纲化,运用Galerkin方法对其离散,得到两自由度的非线性常微分方程。通过数值求解叶片颤振速度和极限环响应,并用谐波平衡法求解极限环响应与数值解进行对比。最后,讨论了结构参数对颤振速度和极限环响应幅值的影响。     

π型叠合梁颤振试验及数值研究

基于某π型叠合梁断面进行了颤振试验及颤振导数试验,试验结果表明断面的颤振形式是极限环振动(LCO)而非发散振动;分析了断面的后颤振极限环及频率演变特性;采用了基于阶跃函数的后颤振自激力模型并通过试验验证了其在计算颤振临界风速及后颤振幅值方面的精度及可靠性,进一步分析了数值计算和试验两者之间产生误差的成因;对比分析了几何...     

边界松驰对壁板颤振响应的影响分析

基于一阶活塞气动力理论,根据Von Karman大变形应变-位移关系并用伽辽金方法建立了壁板颤振方程,分析边界松驰,面内力及壁板几何尺寸对壁板颤振响应特性的影响。结果表明:随边界约束的松驰,颤振临界动压减小,系统的静态稳定性降低,而屈曲和混沌运动的可能性增大;即使来流动压小于初始边界条件颤振临界动压,随边界的松驰,壁板可能产生极限环振动或混沌振动;较大轴力压力和较小的长宽比不利于壁板的稳定。     

基于非线性气动力的失速颤振计算与试验研究

飞行器大攻角飞行过程中的动态失速会导致结构自激扭转或俯仰运动,造成非线性失速颤振现象,直接影响飞行器飞行安全与结构安全。该文对标准Leishman-Beddoes (L-B)非线性非定常气动力模型进行马赫数修正,使其适用于低速不可压情形的动态失速气动力计算,然后基于二元翼段气动弹性模型,采用Newmark时域推进方法进行工程失速颤振计算。依据计算结果设计并完成了二元翼段失速颤振风洞试验。试验结果表明,多数试验状态,基于L-B模型的失速颤振计算结果与试验结果均吻合较好。结果验证了修正的L-B模型可以用来进行低速大展弦比平直翼段翼型的失速颤振工程分析与极限环振荡评估,同时,失速颤振速度与极限环幅值受初始攻角的影响很大。     

Non-linear panel flutter for temperature-dependent functionally graded material panels

The non-linear flutter and thermal buckling of an FGM panel under the combined effect of elevated temperature conditions and aerodynamic loading is investigated using a finite element model based on the thin plate theory and von Karman strain-displacement relations to account for moderately large deflection. The aerodynamic pressure is modeled using the quasi-steady first order piston theory. The governing non-linear equations are obtained using the principal of virtual work adopting an approach based on the thermal strain being a cumulative physical quantity to account for temperature dependent material properties. This system of non-linear equations is solved by Newton–Raphson numerical technique. It is found that the temperature increase has an adverse effect on the FGM panel flutter characteristics through decreasing the critical dynamic pressure. Decreasing the volume fraction enhances flutter characteristics but this is limited by structural integrity aspect. The presence of aerodynamic flow results in postponing the buckling temperature and in suppressing the post buckling deflection while the temperature increase gives way for higher limit cycle amplitude.     

Framework for sensitivity and uncertainty quantification in the flutter assessment of bridges

The phenomenon of aerodynamic instability caused by wind is usually a major design criterion for long-span cable-supported bridges. If the wind speed exceeds the critical flutter speed of the bridge, this constitutes an Ultimate Limit State. The prediction of the flutter boundary therefore requires accurate and robust models. The state-of-the-art theory concerning determination of the flutter stability limit is presented. Usually bridge decks are bluff and therefore the aeroelastic forces under wind action have to be experimentally evaluated in wind tunnels or numerically computed through Computational Fluid Dynamics (CFD) simulations. The self-excited forces are modelled using aerodynamic derivatives obtained through CFD forced vibration simulations on a section model. The two-degree-of-freedom flutter limit is computed by solving the Eigenvalue problem.A probabilistic flutter analysis utilizing a meta-modelling technique is used to evaluate the effect of parameter uncertainty. A bridge section is numerically modelled in the CFD simulations. Here flutter derivatives are considered as random variables. A methodology for carrying out sensitivity analysis of the flutter phenomenon is developed. The sensitivity with respect to the uncertainty of flutter derivatives and structural parameters is considered by taking into account the probability distribution of the flutter limit. A significant influence on the flutter limit is found by including uncertainties of the flutter derivatives due to different interpretations of scatter in the CFD simulations. The results indicate that the proposed probabilistic flutter analysis provides extended information concerning the accuracy in the prediction of flutter limits.The final aim is to set up a method to estimate the flutter limit with probabilistic input parameters. Such a tool could be useful for bridge engineers at early design stages. This study shows the difficulties in this regard which have to be overcome but also highlights some interesting and promising results.     

多源不确定性条件下气动弹性系统颤振可靠性分析方法

传统的气动弹性系统颤振分析模型大多是在确定性参数条件下建立的,当系统中存在不确定因素时,按确定性方法设计的气动弹性系统存在颤振失效风险.以概率和非概率区间模型为基础,建立了单源不确定性条件下颤振可靠性分析模型;在此基础上,针对含随机和区间多源不确定参数的气动弹性系统颤振可靠性分析问题,提出一种基于分步求解策略的新型混合...     

AEROELASTIC COMPUTATIONS IN THE TIME DOMAIN USING UNSTRUCTURED MESHES

A strategy for computing aeroelastic solutions is proposed. An implicit LU factorization scheme for solving the time-dependent Euler equations on unstructured triangular meshes is presented and coupled with a typical section aeroelastic wing model. Efficiency is improved by coupling the LU factorization scheme with a GMRES algorithm. In this case the LU scheme plays the role of a preconditioner. The fluid and structural models are simultaneously integrated in time in a fully coupled manner. The response of a structural section in different flow regimes is determined and flutter boundaries are computed. In the transonic regime and beyond the region of linear stability, the section is found to exhibit limit cycle behaviour. © 1997 by John Wiley & Sons, Ltd.