在海平面飞行情况下利用空气动力带理论对飞机带状凹翼进行发散结构分析

A. A. A. Haj Ahmed, Mohammed Al-Mabrouk Abdulkarim, Al-Sadiq Amrajaa Mohammed
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摘要

本研究通过条带理论方法(无有限跨度修正和有有限跨度修正),研究了利用矩阵迭代数值方法获得飞机带状非掠翼的发散速度。通过空气动力学条带理论假定流体在机翼翼面上的二维流动,然后对翼展进行积分。在本研究中,首先将锥形无后掠翼划分为四个 Multhopp 站。然后,对该机翼的弹性特性以及与这四个 Multhopp 站相关的扭转影响系数进行了评估。其次,将平衡方程构建为积分方程。然后,以条带理论的形式探讨了适当的空气动力学理论,以及确定发散速度的求解技术。最后,利用条带理论,以矩阵形式表达了积分方程。使用 MATLAB 环境对矩阵进行了迭代,以求得收敛解。此外,还考虑将飞机机翼的扭转刚度增加 15%,以说明其对飞机机翼扭转发散速度的影响。所获得的结果将有助于现代飞机设计师理解机翼的不稳定性。
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Divergence Structural Analysis of an Aircraft Tapered-Unswept Wing Using Aerodynamic Strip Theory for the Case of Flight at Sea Level
This study investigates the utilize of the iteration of matrix numerically to get the divergence speed of an aircraft tapered-unswept wing via using method of strip theory (without finite span correction and with finite span correction). The 2-D fluid flow across the wing airfoil section is assumed by the aerodynamic strip theory and then integrated over wing span. In the present work, first the tapered unswept wing is divided into four Multhopp’s stations. Then, elastic properties of this wing in relation to torsional influence coefficients related with this four Multhopp’s stations have been evaluated. Second, equations for equilibrium are constructed as integral equations. Then, an appropriate aerodynamic theory in the form of strip theory was addressed, as well as the technique of solution for determining the divergence speed. Finally, using strip theory, the integral equation has been expressed in matrix form. Iteration of matrix has been done using MATLAB environment to reach for the solution to converge. Also, an increase of 15% in torsional stiffness of aircraft wing has been considered to illustrate its effects on torsional divergence speed of aircraft wing. The attained results are going to be helpful in understanding of wing instability for modern aircraft designer.
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