径向简谐激励下航空发动机机匣的振动分析

温登哲; 陈予恕

doi:10.13224/j.cnki.jasp.2015.01.014

径向简谐激励下航空发动机机匣的振动分析

doi: 10.13224/j.cnki.jasp.2015.01.014

哈尔滨工业大学航天学院, 哈尔滨 150001

基金项目:

国家自然科学基金(10632040)

详细信息

作者简介:
温登哲(1986-),男,山东潍坊人,博士生,主要从事非线性动力学研究.

中图分类号: V232.5
计量
- 文章访问数: 2170
- HTML浏览量: 1
- PDF量: 985
- 被引次数: 0
出版历程
- 收稿日期: 2013-09-02
- 刊出日期: 2015-01-28

Vibration analysis of aero-engine casing under radial harmonic excitation

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

摘要

摘要: 根据航空发动机机匣薄壁结构的几何特征,将机匣简化为一端简支一端固支的圆柱壳结构,建立了系统的动力学方程,并采用多尺度法对动力学方程进行了求解,进而研究了径向简谐激励下机匣动力学方程的零解及非零解的稳定性,并讨论了系统单模态运动发展到复合模态运动以及能量在模态之间的转移过程,最后采用数值方法研究了径向简谐激励下机匣的振动特性.结果表明:随着径向简谐激励的增加,系统表现为周期运动、倍周期运动及混沌运动交替出现.
- 航空发动机机匣 /
- 圆柱壳 /
- 双模态位移 /
- 运动稳定性 /
- 混沌运动
Abstract: The casing was simplified using a simply supported end and a fixed supported end cylindrical shell based on geometric characteristics of thin-walled structures of aero-engine casing. The dynamic equations were established and solved by multi-scale method, and the stability of zero solution and non-zero solution of casing dynamic equations under the radial harmonic excitation was studied. Then the transient process of system mode from single-mode motion to composite mode motion and the transfer of energy between the modes were studied; in addition, the vibration characteristic of casing under radial harmonic excitation was also numerically simulated. Results show that periodic motion, periodic doubling motion and chaotic motion appear alternately with the increase of radial harmonic excitation.
- aero-engine casing /
- cylindrical shell /
- dual-mode displacement /
- motion stability /
- chaotic motion

HTML

参考文献(20)

[1]	《航空发动机设计手册》总编委会.航空发动机设计手册:第19册转子动力学和整机振动[M].北京:航空工业出版社,2000.
[2]	陈予恕,张华彪.航空发动机整机动力学研究进展与展望[J].航空学报,2011,32(8):1371-1391. CHEN Yushu,ZHANG Huabiao.Review and prospect on the research of dynamics of complete areo-engine systems[J].Acta Aeronautica et Astronautica Sinica,2011,32(8):1371-1391.(in Chinese)
[3]	宣海军,陆晓,洪荣伟,等.航空发动机机匣包容性研究综述[J].航空动力学报,2010,25(8):1860-1870. XUAN Haijun,LU Xiao,HONG Rongwei,et al.Review of aero-engine case containment research[J].Journal of Aerospace Power,2010,25(8):1860-1870.(in Chinese)
[4]	王桂华,李琳.航空发动机风扇机匣行波振动的分析方法[J].航空动力学报,2000,15(2):183-186. WANG Guihua,LI Lin.Method for traveling wave vibration analysis of fan casing in aero engine[J].Journal of Aerospace Power,2000,15(2):183-186.(in Chinese)
[5]	蔡显新,肖新红,王涛,等.风扇机匣的减振优化设计[J].航空动力学报,2010,25(2):396-401. CAI Xianxin,XIAO Xinhong,WANG Tao,et al.Optimization design of a fan casing for reducing vibration[J].Journal of Aerospace Power,2010,25(2):396-401.(in Chinese)
[6]	许棠,范引鹤.发动机机匣低循环疲劳寿命的预测[J].南京航空学院学报,1990,22(2):1-9. XU Tang,FAN Yinhe.Prediction of low cycle fatigue life of engine casing[J].Journal of Nanjing Aeronautical Institute,1990,22(2):1-9.(in Chinese)
[7]	齐红宇,温卫东.复杂载荷下复合材料机匣结构稳定性的数值分析[J].航空制造技术,2003,12(7):35-38. QI Hongyu,WEN Weidong.Numerical analysis of structural stability of the composite case under complicated loads[J].Aeronautical Manufacturing Technology,2003,12(7):35-38.(in Chinese)
[8]	晏砺堂.涡轮机轴流叶轮盘行波振动研究[J].航空动力学报,1990,5(1):35-38. YAN Litang.Study on travelling wave vibration of bladed disks in turbomachinery[J].Journal of Aerospace Power,1990,5(1):35-38.(in Chinese)
[9]	苏志敏.航空薄壁柱壳结构在噪声激励下振动响应的研究[D].沈阳:沈阳航空工业学院,2007.
[10]	吴元东,漆文凯.某发动机模拟机匣的模态分析与模型验证[J].机械科学与技术,2010,29(11):1487-1492. WU Yuandong,QI Wenkai.Modal analysis and model verification of an aero-engine casing[J].Mechanical Science and Technology,2010,29(11):1487-1492.(in Chinese)
[11]	Rougui M,Moussaoui F,Benamar R.Geometrically non-linear free and forced vibrations of simply supported circular cylindrical shells[J].International Journal of Non-linear Mechanics,2007,4(2):1102-1115.
[12]	齐欢欢,徐鉴.Galerkin模态截断对计算悬臂输液管道固有频率的影响[J].振动与冲击,2011,30(1):148-151. QI Huanhuan,XU Jian.Effect of Galerkin modal truncation on natural frequency analysis of a cantilevered pipe conveying fluid[J].Jouranl of Vibration and Shock,2011,30(1):148-151.(in Chinese)
[13]	韩强.非线性大挠度壳的混沌运动[J].华南理工大学学报:自然科学版,2000,28(8):1-5. HAN Qiang.Chaotic motion in a cylindrical shell with the nonlinear large deflection[J].Journal of South China University of Technology:Natural Science Edition,2000,28(8):1-5.(in Chinese)
[14]	Paliwal D N,Rajesh K P,Triloki N.Free vibration of circular cylindrical shell on Winkler and Pasternak foundations[M].[S.l.]:Elsevier Science Publishers,1996.
[15]	杜建成,韩强.非线性双曲扁薄壳的混沌运动[J].华南理工大学学报:自然科学版,2002,30(7):18-27. DU Jiancheng,HAN Qiang.Chaotic motion of the non-linear hyperbolic flat thin shell[J].Journal of South China University of Technology:Natural Science Edition,2002,30(7):18-27.(in Chinese)
[16]	杜建成.非线性板壳的分岔与混动运动[D].广州:华南理工大学,2003. DU Jiancheng.Bifurcation and chaotic motion of the nonlinear plate and shell[D].Guangzhou:South China University of Technology,2003.(in Chinese)
[17]	秦朝红,陈予恕,李军.1:1内共振悬索的二维奇异性分析[J].应用数学和力学,2010,31(2):134-142. QIN Zhaohong,CHEN Yushu,LI Jun.Singular analysis of two-dimensional elastic cable with 1:1 internal resonance[J].Applied Mathematics and Mechanics,2010,31(2):134-142.(in Chinese)
[18]	陈予恕,杨彩霞,吴志强,等.具有平方、立方非线性项的耦合动力学系统1:2内共振分岔[J].应用数学和力学,2001,22(8):817-824. CHEN Yushu,YANG Caixia,WU Zhiqiang,et al.1:2 internal resonance of coupled dynamic system with quadratic and cubic nonlinearities[J].Applied Mathematics and Mechanics,2001,22(8):817-824.(in Chinese)
[19]	秦朝红.非线性动力学双参量奇异性方法及其工程应用[D].哈尔滨:哈尔滨工业大学,2010. QIN Zhaohong.Singularity method for nonlinear dynamical analysis of systems with two parameters and its application in engineering[D].Harbin:Harbin Institute of Technology,2010.(in Chinese)
[20]	陈予恕.非线性振动系统的分叉和混沌理论[M].北京:高等教育出版社,1991.