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基于数据驱动的变体机翼跨声速颤振分析

TRANSONIC FLUTTER ANALYSIS OF A MORPHING WING VIA DATA DRIVEN METHOD

  • 摘要: 激波运动、流动分离等诱发的跨声速气动非线性效应, 可能会引发变体飞行器的颤振特性随构型显著变化, 导致变体机构的轻量化设计面临严峻挑战. 本文针对后缘变弯度机翼, 提出了基于数据驱动的跨声速气动弹性建模方法, 高效、准确地预测了后缘变弯度角度参变过程机翼的颤振边界. 首先, 发展了基于计算流体动力学的变弯度流-固耦合数值模拟方法, 对后缘变弯度机翼的跨声速非定常流动进行高精度模拟, 获得给定激励信号下机翼表面的压力快照数据及气动力响应快照数据. 然后, 利用获得的训练数据, 结合本征正交分解和带控制的动态模式分解方法, 建立了能够可靠描述机翼运动和气动载荷分布之间关系的低阶状态空间模型. 最后, 利用所构建的低阶模型, 进行了后缘变弯度机翼的跨声速气动力响应和颤振特性预测. 数值仿真结果表明, 所建立的数据驱动模型能够可靠预测跨声速条件下, 后缘变弯度角度参变过程中机翼的非定常气动力、表面压力分布及颤振边界, 变弯度角度的增加会使跨声速颤振凹坑提前出现.

     

    Abstract: The transonic aerodynamic nonlinearities induced by phenomena such as shock wave motion and flow separation can cause significant changes in the flutter characteristics of a morphing aircraft as its configuration evolves. It is a substantial challenge for the lightweight structural design of morphing aircraft. This paper proposes a data-driven transonic aeroelastic modeling method for the wing with variable camber trailing edge, which efficiently and accurately predicts the flutter boundary during the discrete variation of trailing-edge camber. Initially, a numerical simulation method based on computational fluid dynamics (CFD) is developed to capture the unsteady transonic aerodynamic behavior of a wing featuring a variable camber trailing edge. The simulation involves generating snapshot data of the pressure distribution and aerodynamic response on the wing surface under a given excitation signal. These data are then collected and utilized for further analysis. Subsequently, a reduced-order state-space model is constructed using the training data, which is based on the combination of proper orthogonal decomposition (POD) and dynamic mode decomposition with control (DMDc). This model effectively characterizes the complex relationship between the wing’s motion and the distribution of aerodynamic loads, allowing for a more efficient analysis of aeroelastic behavior. Finally, the established reduced-order aerodynamic model is employed to predict the transonic aerodynamic responses, as well as the flutter characteristics of the morphing wing with a variable camber trailing edge. The results from the numerical simulations demonstrate that the proposed data-driven modeling method can reliably forecast the unsteady aerodynamic forces, the surface pressure distribution, and the flutter boundary of the variable camber wing throughout the trailing-edge camber discrete variation process under transonic flow conditions. Additionally, the findings indicate that an increase in the camber angle of the trailing edge leads to the earlier occurrence of the transonic flutter dip.

     

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