风力机叶片的自由振动特性分析

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (17) : 105-110.

论文

风力机叶片的自由振动特性分析

马静敏1, 任勇生2

作者信息 +

FREE VIBRATION CHARACTERISTICS ANALYSIS OF WIND TURBINE BLADE

Ma Jing-min1, Ren Yong-sheng2

Author information +

文章历史 +

摘要

基于综合考虑拉伸、弯曲和扭转等变形对翘曲影响的位移函数，使用扩展拉格朗日方程，建立风力发电机复合材料翼型截面叶片的自由振动微分方程，并应用伽辽金法求解三种翼型截面叶片的固有频率，进而比较它们的自由振动特性，分析复合材料的铺层角度、截面尺寸和旋转速度等对翼型叶片的自由振动特性的影响。同时综合应用大型通用有限元软件ANSYS，三维造型软件Pro/E和前处理软件Hypermesh，计算叶片的固有频率与伽辽金法的求解结果进行对比，验证理论计算的正确性。

Abstract

Based on the displacements function including the warping caused by tensile, bending and torsion, By extended lagrange equation, vibration differential equations of composite wind turbine airfoil section blades are founded and solved by the Galerkin method. The three kinds of airfoil free vibration characteristics are compared. The influences of composite ply angle, taper ratio and rotating speed on the free vibration frequencies of blade are investigated. The natural frequencies of the blades are also got by comprehensive application of large-scale general finite element software ANSYS, Pro/E and Hypermesh. And the results are compared with Galerkin mechode's results in order to verify the correctness of this theory.

导出引用

马静敏1, 任勇生2 . 风力机叶片的自由振动特性分析[J]. 振动与冲击, 2015, 34(17): 105-110

Ma Jing-min1, Ren Yong-sheng2. FREE VIBRATION CHARACTERISTICS ANALYSIS OF WIND TURBINE BLADE[J]. Journal of Vibration and Shock, 2015, 34(17): 105-110

参考文献

1. Mansfield E H, Sobey A J. The fiber composite helicopter blade. Part I: stiffness properties. Part II: prospects of aeroelastic tailoring [J]. Aeronaut Quart, 1979, 30:413-449.
2. Mansfield E H. The stiffness of a two-cell anisotropic tube [J]. Aeronaut Quart, 1981, 32: 338-353.
3. Libove C. Stresses and rate of twist in single cell thin-walled beams with anisotropic walls [J]. American Institute of Aeronautics and Astronautics Journal, 1988, 26(9):1107-1118.
4. Song O, Librescu L. Free vibration of anistropic composite thin-walled beams of closed cross-section contour [J]. Journal of sound and vibration, 1993, 167(1): 129-147
5. Song O, Librescu L. Structure modeling and free vibration analysis of rotating composite thin-walled beams [J]. American helicopter Society, 1997, 42(4):358-369.
6. Song O, Librescu L. Modeling and dynamic behavior of rotating blades carring a tip mass and incorporating adaptive capabilities [J]. Acta Mechanica, 1999, 134:169-197.
7. Song O, Librescu L, Oh S Y. Vibration of pretwisted adaptive rotating blades modeled as anisotropic thin-walled beams [J]. American Institute of Aeronautics and Astronautics Journal, 2001, 39(2):285-295.
8. Song O, Librescu L, Oh S-Y. Dynamic of pretwisted rotating thin-walled beams operating in a temperature environment [J]. Thermal stresses, 2001, 24(3):255-279.
9. Chandiraman N K, Librescu L, Shete C D. On the free vibration of rotating composite beams using a higher-order shear formulation [J]. Aerospace Science and Technology, 2002, 6:545-561.
10. Oh S Y, Song O, Librescu L. Effects of pretwist and presetting on coupled bending vibrations of rotating thin-walled compostie beams [J]. Solids and Structures, 2003, 40:1203-1224.
11. Librescu L, Na S S. Active vibration control of doubly tapered thin-walled beams using piezoelectric actuation [J]. Thin-Walled structures, 2001, 39:65-82.
12. Na S S, Librescu L. Dynamic behavior of aircraft wings modeled as doubly-tapered composite thin-walled beams [C]. Recent advances in solids and structures, New York: ASME, 1999(398):59-68.
13. Na Sungso, Liberscu L, Shim J K. Modeling and bending vibration control of nonuniform thin-walled rotating beams incorporating adaptive capabilities [J]. Mechanical Sciences, 2003, 45:1347-1367.
14. Berdichevsky V, Armanios E A, Badir AM Theory of anistropic thin-walled closed-cross-section beams [J]. Composites Engineering, 1992, 2:411-432.
15. Badir A M. Analysis of advanced thin-walled composite structures [D]. Atlanta: Georgia institute of technology, 1992.
16. Armanios E A, Badir A M. Free vibration analysis of anisotropic thin-walled closed-section beams [J]. American Institute of Aeronautics and Astronautics Journal, 1995, 33(10):1905-1910.
17. Dancila S D, Armanios E A. The influence of coupling on the free vibration of anistropic thin-walled closed-section beams [J]. Solids and Structures, 1998, 35(23): 3105-3119.
18. 马静敏, 任勇生, 姚文莉. 复合材料封闭变截面薄壁梁自由振动分析[J]. 振动与冲击, 2012, 31(14):117-124.
     Ma Jingmin, Ren Yongsheng, Yao Wenli. Free vibration analysis of composite thin-walled cantilever beams with variable closed-section [J]. Journal of sound and shock, 2012, 31(14):117-124.
19. 马静敏, 任勇生, 姚文莉. 复合材料变截面旋转悬臂梁自由振动特性分析[J]. 工程力学.2013,30(1):37-44.
     Ma Jingmin, Ren Yongsheng, Yao Wenli. Free vibration analysis of rotating composite thin-walled cantilevel beams with variable closed-section [J]. Engineering Mechanics. 2013,30(1):37-44.
20. Ma Jingmin, Ren Yongsheng, Tan Tao. Vibration characteristics of composite thin-wall beams [C]. Advanced material research, Hai Kou: Trans Tech Publications, 2011 (250-253): 3993-4000.
21. 任勇生，代其义，孙丙磊，等.旋转几何非线性复合材料薄壁梁的自由振动分析[J].振动与冲击,2013,32(14):139-147.
REN Yong-sheng,DAI Qi-yi,SUN Bing-lei, etal. Free vibration of a rotating composite thin-walled beam with large deformation[J].Journal of Vibration and Shock,2013,32(14):139-147.
22. 王学勇.风力发电机叶片设计及三维建模[D].北京:华北电力大学,2008,5.
     Wang Xueyong. 3D Modeling and design of wind turbine blade [D].Beijing: North China electric power university,2008,5.
23. 王旭东, 陈进等. 风力机叶片翼型型线集成设计理论研究[J]. 中国机械工程, 2009, 20(2):211-228.
     Wang xudong, Chen jin etal. Integration study on airfoil profile for wind turbines [J]. China mechanical engineering, 2009, 20(2):211-228.
24. Berdichevsky V, Armanios E A, Badir AM. Theory of anistropic thin-walled closed-cross-section beams [J]. Composites Engineering, 1992, 2:411-432