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论文:2016,Vol:34,Issue(5):774-782 |
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引用本文： |
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段静波, 周洲, 江涛. 基于曲梁模型的大展弦比大柔性机翼颤振分析[J]. 西北工业大学学报 |
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Duan Jingbo, Zhou Zhou, Jiang Tao. A Method for Flutter of the Very Flexible Wing with High-Aspect-Ratio Based on Curve Beam Model[J]. Northwestern polytechnical university |
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| 基于曲梁模型的大展弦比大柔性机翼颤振分析 |
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| 段静波1,2, 周洲1, 江涛2 |
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1. 西北工业大学 航空学院, 陕西 西安 710072;
2. 军械工程学院 无人机工程系, 河北 石家庄 050003 |
| 摘要: |
| 提出一种大展弦比大柔性机翼颤振分析的方法。该方法首先引入准模态假设，将气动载荷作用下发生大静变形的大展弦比大柔性机翼视为一根变曲率曲梁，并将其离散为一系列常曲率曲梁单元，利用机翼静变形结果，通过多项式插值获得各曲梁单元的平均曲率。其次，在曲梁单元内，利用曲梁振动微分方程和Therdorson非定常气动力模型建立曲梁单元的颤振微分方程。然后，运用传递函数法，将曲梁单元的颤振微分方程转换为状态空间形式，并依照有限元组集的思想形成机翼整体平衡方程。最后，通过求解特征值问题获得机翼的颤振速度和颤振频率。通过与已有文献结果的对比，验证了新方法的正确性和有效性。 |
| 关键词:
大展弦比
大柔性机翼
曲梁
非定常气动力
颤振
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| A Method for Flutter of the Very Flexible Wing with High-Aspect-Ratio Based on Curve Beam Model |
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| Duan Jingbo1,2, Zhou Zhou1, Jiang Tao2 |
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1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. Department of UAV Engineering, Ordnance Engineering College, Shijiazhuang 050003, China |
| Abstract: |
| A method for flutter of the very flexible wing with a high-aspect-ratio is developed. Firstly, the very flexible wing subjected to aeroelastic load will undergo a large deformation. So the deformed wing can be regarded as a curve beam and divided into a couple of curve beam elements. The mean curvature of every beam element is obtained by mean of polynomial interpolation method. For each element, the flutter differential equations is established by combining the differential equations of the constant curvature beam vibration and the Therdorson' unsteady aerodynamics model. Then, using the distributed transfer function method and the finite element method, the equilibrium equations of the whole wing are obtained. Finally, the wing flutter was carried out by solving a eigenvalue problem. The results are good agreement to the literature solutions and indicate that the present method is accurate and efficient. |
| Key words:
high-aspect-ratio
very flexible wing
curve beams
unsteady aerodynamics
flutter
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| 收稿日期: 2016-03-02
修回日期:
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| DOI: |
| 基金项目: 中国博士后基金（2014M560803）资助 |
| 通讯作者:
Email： |
| 作者简介: 段静波(1982-),西北工业大学博士后,主要从事飞行器气动弹性研究。
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| 作者相关文章 |
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| 段静波 在本刊中的所有文章 |
| 周洲 在本刊中的所有文章 |
| 江涛 在本刊中的所有文章 |
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参考文献: |
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[1] Smith M J, Patil M J, Hodges D H. CFD-Based Analysis of Nonlinear Aeroelastic Behavior of High-Aspectratio Wings[R]. AIAA-2001-1582
[2] Patil M J, Hodges D H. Limit-Cycle Oscillations in High-Aspect-Ratio Wings[J]. Journal of Fluid and Structures, 2001,15:07-132
[3] Garcia J A. Numerical Investigation of Nonlinear Aeroelastic Effects on Flexible High-Aspect Ratio Wings[J]. Journal of Aircraft, 2005, 42(4):1025-1036
[4] Palacios R, Cesni C S. Static Nonlinear Aeroelasticity of Flexible Slender Wings in Compressible Flow[R]. AIAA-2005-1945
[5] Beran P S, Hur J Y, Snder R D. Static Nonlinear Aeroelastic Analysis of a Blended wing Body[R]. AIAA-2005-1944
[6] 谢长川,吴志刚,杨超. 大展弦比柔性机翼的气动弹性分析[J]. 北京航空航天大学学报, 2003, 29(12):1087-1091 Xie Changchuan, Wu Zhigang, Yang Chao. Aeroelastic Analysis of Flexible Large Aspect Ratio Wing[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(12):1087-1091(in Chinese)
[7] Xie Changchuan, Leng Jiazhen, Yang Chao. Geometrical Nonlinear Aeroelastic Stability Analysis of a Composite High-Aspect-Ratio Wing[C]//International Conference on Engineering Dynamics, 2007
[8] 王伟,周洲,祝小平,王睿. 几何大变形太阳能无人机非线性气动弹性稳定性研究[J]. 西北工业大学学报, 2015,33(1):1-8 Wang Wei, Zhou Zhou, Zhu Xiaoping, Wang Rui. Exploring Aeroelastic Stability of Very Flexible Solar Powered UAV with Geometrically Large Deformation[J]. Journal of Northwestern Polytechnical University, 2015, 33(1):1-8(in Chinese)
[9] 王伟,周洲,祝小平,王睿. 考虑几何非线性效应的大柔性太阳能无人机静气动弹性分析[J]. 西北工业大学学报, 2014,32(4):499-505 Wang Wei, Zhou Zhou, Zhu Xiaoping, Wang Rui. Static Aeroelastic Characteristics Analysis of a Very Flexible Solar Powered Uav With Geometrical Nonlinear Effect Considered[J]. Journal of Northwestern Polytechnical University, 2014,32(4):499-504(in Chinese)
[10] 杨智春,党会学,李毅. 大展弦比机翼非线性气动弹性特性的数值模拟研究[C]//第十一届全国空气弹性学术交流会, 2009 Yang Zhichun, Dang Huixue, Li Yi. Numerical Simulation of Nonlinear Aeroelastic Characteristics for a High-Aspect-Ratio Wing[C]//11th Conference on Aeroelasticity, 2009(in Chinese)
[11] 张健, 向锦武. 侧向随动力作用下大展弦柔性机翼的稳定性[J]. 航空学报,2010, 31(11):2115-2123 Zhang Jian, Xiang Jingwu. Stability of High-Aspect-Ratio Flexible Wings Loaded By a Lateral Follower Force[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(11):2115-2124(in Chinese)
[12] 蒋纯志. 分布传递函数方法在梁杆结构分析中的应用[D]. 长沙:国防科技大学, 2006 Jiang Chunzhi. The Application of Distributed Transfer Function Method to Girders and Beams Analysis[D]. Changsha, National University of Defense Technology, 2006(in Chinese)
[13] 赵雪健. 平面曲梁自由振动的动力刚度法研究[D]. 北京:清华大学,2010 Zhao Xuejian. Research on Dynamic Stiffness Method for Free Vibration of Planar Curve Beams[D]. Beijing, Tingshua University, 2013(in Chinese)
[14] 赵永辉. 气动弹性力学与控制[M]. 北京:科学出版社, 2006 Zhao Yonghun. Aeroelastic Mechanics and Control[M]. Beijing, Science Press, 2006(in Chinese)
[15] 李海阳. 数学物理问题的数值分布传递函数方法[D]. 长沙:国防科技大学,1999 Li Haiyang. Numerical Transfer Function Method for Mathematic and Physical Problems[D]. Changsha, National University of Defense Technology, 1999(in Chinese)
[16] 雷勇军. 结构分析的分布参数传递函数方法[D]. 长沙:国防科技大学,1998 Lei Yongjun. Distributed Transfer Function Method for Structural Analysis[D]. Changsha, National University of Defense Technology, 1998(in Chinese) |
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