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基于频率加权的后缘拍动变体机翼流场模态降阶分析

张伟1,聂旭涛2,欧李苇2,夏智勋1,陈磊1   

  1. 1. 国防科技大学
    2. 中国空气动力研究与发展中心
  • 收稿日期:2023-11-07 修回日期:2024-02-04 出版日期:2024-02-23 发布日期:2024-02-23
  • 通讯作者: 陈磊
  • 基金资助:
    国家自然科学基金

Frequency-weighted dynamic mode decomposition for trailing edge flapping airfoil flow

  • Received:2023-11-07 Revised:2024-02-04 Online:2024-02-23 Published:2024-02-23
  • Contact: Lei Chen

摘要: 变体机翼是提高飞行器机动性能、高升低阻,满足复杂多变工况的重要解决途径之一,探索机翼变形对流场影响机理是其控制的基础。针对后缘拍动的柔性变体机翼,为准确分析拍动影响机理,提出了频率加权排序的动力学模态降阶分析方法。针对不同工况下数值模拟结果或试验数据,开展了频率加权方法同常规初始值、模态范数排序方法对比。结果显示频率加权方法得到的二阶模态频率和拍动频率吻合,表明该方法能准确体现机翼后缘周期性拍动对流场结构影响,反映机翼变形对尾迹的破碎作用。在相同重构模态数量下,拍动频率为300 Hz时,基于数值模拟数据,频率加权方法、初始值法,模态范数法重构的速度场误差分别为0.39%,0.58%和3.25%;基于PIV试验数据,误差分别为7.56%,8.77%和10.56%,表明频率加权方法误差最小,能较好用于主动拍动变体机翼的物理场分析及后续反馈控制。

关键词: 变体机翼, 动力学模态降阶, 频率加权, 拍动, 重构

Abstract: Morphing airfoil is one of the essential solutions to improve the maneuverability performance of the aircraft, high lift and low drag, and to meet the variable flighting conditions. Exploring the mechanism of the wing deformation influ-ence on the flow is the precondition of control. A frequency-weighted ordering approach of the dynamic mode de-composition is proposed to analyze the influence mechanism of trailing edge flapping of a morphing airfoil. The fre-quency-weighted method is compared with conventional ways, like initial value and norm, concerning the numerical simulation results and experimental data under different working conditions. The 2nd modal frequencies obtained by the frequency-weighted method match the flapping frequencies, indicating its ability to reveal the influence of the periodical flapping on the flow inner structure and wake. Based on the numerical simulation data, with the same number of reconstructed modes and flapping frequency of 300 Hz, the errors of frequency-weighted, initial value, and norm methods are 0.39%, 0.58%, and 3.25%, respectively. Based on the PIV test data, the errors become 7.56%, 8.77%, and 10.56%. The frequency-weighted method has the slightest mistake and can be better used for the active flapping morphing wing's flow analysis and subsequent feedback control.

Key words: morphing airfoil, dynamic mode decomposition, frequency-weighted, flapping, reconstruction

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