航空发动机转子叶片振动方程及其频率计算

doi:10.7527/S1000-6893.2013.0437

Abstract

Abstract:

During the running process of an aero-engine, the working conditions of the blade are extremely poor. Aerodynamics and mechanical force would inevitably excite the blade continuously and cause its forced vibration. Especially when the load frequency equals the dynamic frequency of the blade, resonance will occur, which can increase the stress evidently and even damage the blade. Therefore it is particularly important to learn about the natural frequency of the blade at different rotational speeds. Based on the force analysis of the blade, we establish its free vibration equation by introducing a deformation coefficient. And then we develop a numerical method to calculate the static and dynamic frequencies of the blade, with the help of Ritz-Galerkin method. Compared with traditional methods, the present method is more convenient and closer to the actual condition and its results match well with the experimental data, which supplies a reasonable method of engineering importance.

Key words: aero-engine, rotor blade, vibration equation, Ritz-Galerkin method, vibration frequency

CLC Number:

V231.9

LI Kean, LIN Zuoming, YANG Shengqun, LI Songhua, WAN Zhengsu. Vibration Equation and Frequency Computation of an Aero-engine Rotor Blade[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(12): 2733-2739.

References

[1] Lin Z M, Li K A, Yang S Q. Experimental research on sound waves excitation to aero-engine compressor rotor blade. Journal of Dynamics and Control, 2010, 8(1): 12-18. (in Chinese) 林左鸣, 李克安, 杨胜群. 航空发动机压气机转子叶片声激振试验研究. 动力学与控制学报, 2010, 8(1): 12-18.

[2] Li K A, Lin Z M, Yang S Q. Transient response analysis of a rotor blade under acoustic excitation. Journal of Hunan University: Natural Sciences, 2010, 37(12): 41-44. (in Chinese) 李克安, 林左鸣, 杨胜群. 转子叶片声撞击瞬态响应分析. 湖南大学学报:自然科学版, 2010, 37(12): 41-44.

[3] Lin Z M, Li K A, Yang S Q. Investigation on micro-theory of sound wave excitation. Journal of Nanjing University of Aeronautics & Astronautics, 2010, 42(6): 676-679. (in Chinese) 林左鸣, 李克安, 杨胜群. 声波激振的微观机理探讨. 南京航空航天大学学报, 2010, 42(6): 676-679.

[4] Holehouse I. Sonic fatigue of aircraft structures due to fan noise. Journal of the Acoustical Society of America, 1970, 47(1): 115-123.

[5] Banmgarner M, Kameier F, Hourmouzia dis J. The high pressure compressor blade vibration of engine under non-normal working condition. Proceedings of the 12th International Conference on Aero-Engine, 1995.

[6] Liu Y X, Zhao W Q. Vibration analysis of aeroengine turbine blade-disc coupling system. Applied Mechanics and Materials, 2013, 327: 276-279.

[7] Wang L, Cao D Q, Huang W. Nonlinear coupled dynamics of flexible blade-rotor-bearing systems. Tribology International, 2010, 43(4): 759-778.

[8] Zhao W, Liu Y, Lu M, et al. FEA on vibration characteristics of an aero-engine turbine rotor. International Conference on Automatic Control and Artificial Intelligence (ACAI 2012), 2012: 1046-1048.

[9] Zhao W, Liu Y, Lu M, et al. Vibration analysis of a certain type of aero-engine turbine blade based on UG//Yang D H. Informatics in control, automation and robotics. Berlin: Springer Berlin Heidelberg, 2012: 377-382.

[10] Rao J S, Carnegie W. Solution of the equations of motion of coupled-bending bending torsion vibrations of turbine blades by the method of Ritz-Galerkin. International Journal of Mechanical Sciences, 1970, 12(10): 875-882.

[11] Kaya M O, Ozdemir O O. Flexural-torsional-coupled vibration analysis of axially loaded closed-section composite Timoshenko beam by using DTM. Journal of Sound and Vibration, 2007, 306(3): 495-506.

[12] Ozgumus O O, Kaya M O. Formulation for flutter and vibration analysis of a hingeless helicopter blade in hover: Part I. Aircraft Engineering and Aerospace Technology, 2007, 79(2): 177-183.

[13] Ozgumus O O, Kaya M O. Formulation for flutter and vibration analysis of a hingeless helicopter blade in hover: Part Ⅱ. Results of flutter stability and vibration analysis of a hingeless helicopter blade in hover. Aircraft Engineering and Aerospace Technology, 2007, 79(3): 231-237.

[14] Timoshenko S. Vibration problems in engineering. New York: D. van Nostrand Company, 1937.

[15] Li K A, Xiao H, Cui R F. Bifurcation control of nonlinear oscillator in primary and secondary resonance. Journal of Central South University of Technology, 2007, 14(6): 826-831.

Vibration Equation and Frequency Computation of an Aero-engine Rotor Blade

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Zeyong YIN, Gaiqi LI, Jiancheng SHI, Yueqian YIN. Concept, method and practice of advanced versatile core engine derivative [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(7): 29713-029713.
[2]	Weina HUANG, Fangjuan LI, Hongbin QI. Preliminary investigation and thoughts on aero-engine digital engineering development [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(5): 529693-529693.
[3]	Ruixian MA, Xin WANG, Kaiming WANG, Bin LI, Mingfu LIAO, Siji WANG. Rubbing experimental study on labyrinth and rubber⁃coated case for aero⁃engines [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(4): 628350-628350.
[4]	Yuan XIAO, Kun FENG, Minghui HU, Zhinong JIANG. Extraction method for unsteady vibration components of aero-engine rotors [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(3): 228158-228158.
[5]	Yingjiao HU, Feng XU, Zhijun YANG. Overview of aero-engine ice testing capability [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(S2): 729449-729449.
[6]	Neng WAN, Qixin ZHUANG, Yanheng GUO, Zhiyong CHANG, Dao WANG. Sampling strategy for on-machine measurement of aero-engine blade under constraint of fitting accuracy [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(7): 427151-427151.
[7]	Rubing LIU, Zefan CHEN, Ruixin LIN, Qi LIN. Active control of flow-induced vibration of blades in a plane cascade by a plasma synthetic jet [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(20): 128430-128430.
[8]	Miaodong ZHAO, Dianyin HU, Jianxing MAO, Haihe SUN, Shiyong QIN, Yuanxing GU, Rongqiao WANG, Tengyue TIAN, Lin YAN, Zhixing XIAO. Simulating specimen for low cycle fatigue of aero-engine disc: Design and experiment [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(18): 228320-228320.
[9]	Songbai WANG, Yong CHEN, Yadong WU, Shaoping ZHANG, Zhipeng CAO. Research progress on non-synchronous vibration of axial compressor rotor blade [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(17): 28044-028044.
[10]	Xiaofeng SUN, Guangyu ZHANG, Xiaoyu WANG, Lei LI, Xiangyang DENG, Ronghui CHENG. Research progress in aero-engine combustion instability prediction and control [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(14): 628733-628733.
[11]	Pei PENG, Yongping ZHAO, Yuwei WANG. New method for automatic and rapid mining of aero-engine operating patterns [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 327659-327659.
[12]	Wanli ZHAO, Yingqing GUO, Kejie XU, Cansen WANG, Haojie YING, Xinxin TAO. Review of key technologies for fault diagnosis and accommodation for multi⁃electric distributed engine control system [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(10): 27519-027519.
[13]	ZHANG Zhongqiang, ZHANG Xin, WANG Jiaxu, LIU Zhiwen. Reweighted kurtogram for aero-engine fault diagnosis [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625445-625445.
[14]	HAN Songyu, SHAO Haidong, JIANG Hongkai, ZHANG Xiaoyang. Intelligent fault diagnosis of aero-engine high-speed bearings using enhanced CNN [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625479-625479.
[15]	DU Jianjian, PAN Xiande, LIU Tianyi. Indirect measurement method for axial load of aero-engine angular contact ball bearing [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625457-625457.