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力学与实践 ›› 2019, Vol. 41 ›› Issue (1): 30-36.doi: 10.6052/1000-0879-18-216

• 应用研究 • 上一篇    下一篇

基于传递函数法的大展弦比机翼阵风响应分析1)

张忠源2),*, 段静波†,3, 路平*   

  1. *陆军工程大学石家庄校区 无人机工程系,石家庄 050003;
    石家庄铁道大学工程力学系,石家庄 050003;
  • 收稿日期:2018-06-06 出版日期:2019-02-20
  • 通讯作者: 2)张忠源,硕士生。E-mail: 121943464@qq.com; 3)段静波,博士后,副教授。E-mail: duanjingbo@nudt.edu.cn
  • 基金资助:
    1)国家自然科学基金项目(11702325)、河北省自然科学基金项目(A2018210065) 资助

ANALYSIS OF THE HIGH-ASPECT-RATIO WING GUST RESPONSE BY TRANSFER FUNCTION METHOD1)

ZHANG Zhongyuan2),*, DUAN Jingbo†,3, LU Ping*   

  1. *Department of UAV Engineering, Army Engineering University, Shijiazhuang 050003, China;
    Mechanical Engineering Department, Shijiazhuang Tiedao University, Shijiazhuang 050003, China;
  • Received:2018-06-06 Online:2019-02-20

摘要: 将传递函数法应用于大展弦比机翼的阵风响应分析。首先,基于二元机翼的运动方程和准定常片条理论建立机翼的阵风响应微分方程,对其进行Laplace变换,并转换为状态空间方程形式。然后,运用传递函数方法,获得机翼响应在频域的解析解,通过Laplace数值逆变换求得机翼在时域内的响应。通过与已有文献结果对比,验证了本文方法的正确性。最后,采用该方法求解了“1-cos”型阵风和连续大气湍流作用下的机翼响应,并对结果进行了分析讨论。

关键词: 大展弦比机翼, 阵风响应, 传递函数法, 拉普拉斯数值逆变换

Abstract: The semi-analytical and semi-numerical transfer function method is applied to study the high-aspect-ratio wing gust response. First, the wing gust response equations are established by combining the beam bend vibration model and the steady aerodynamic model, which are transformed by the Laplace transformation into the state-space form. Then, the analytical solution in the frequency domain is obtained by using the transfer function method. The transient response of the wing in the time domain is obtained by the numerical inversion of the Laplace transforms. By comparing with the results in the existing literature, the method is validated. Finally, the response of the wing for the One-Minus-Cosine gust and the continuous atmospheric turbulence is solved and analyzed.

Key words: high-aspect-ratio wing, gust response, transfer function method, numerical inversion of Laplace transforms

中图分类号: 

  • V215.34