航空发动机转子一种振动跳跃问题及其工程控制的分岔分析

陈会征; 陈予恕

航空发动机转子一种振动跳跃问题及其工程控制的分岔分析

哈尔滨工业大学航天学院, 哈尔滨 150001

基金项目: 国家自然科学基金重点项目（10632040）

计量
- 文章访问数: 1521
- HTML浏览量: 139
- PDF量: 975
- 被引次数: 0
出版历程
- 收稿日期: 2012-11-09
- 刊出日期: 2013-12-28

Analysis on bifurcation of a vibration jumping and engineering control in aero-engine rotor

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

摘要

摘要: 为研究带挤压油膜阻尼器的航空发动机转子的振动跳跃问题，采用弹性支承的刚性转子模型，结合短轴承π油膜的油膜力模型，建立了系统的动力学方程.采用平均法和非线性动力学中的Chen-Langford（C-L）方法得到了关于轴承系数和转子偏心量参数平面内的转迁集，转迁集将参数平面划分为三个区域，不同区域内具有不同的分岔模式，其中区域Ⅰ为无跳跃现象的理想区域.通过一带有“软特性”非线性特性的附加结构，可以增加区域Ⅰ的范围，减小跳跃区域，扩展了系统的参数优选范围.
- 航空发动机转子 /
- 挤压油膜阻尼器 /
- 振动跳跃 /
- C-L方法 /
- 分岔
Abstract: To investigate the problem of vibration jumping in the aero-engine with squeeze film damper,the aero-engine rotor was simplified as a rigid-rotor with elastic-support.Dynamic equations of the system were established according to the oil-film force model,which were obtained by short bearing approximation and π-film assumption.The transition set of system was obtained by averaging method and Chen-Langford (C-L) method.The parametric plane of bearing coefficient and eccentricity coefficient was divided into three different regions by the transition set.Given different characteristics of bifurcation in each region,the region Ⅰ is an ideal region without jumping phenomenon.Then,an additional structure with "soft characteristic" of nonlinearity could expand the ideal region Ⅰ,decrease the jumping interval and broaden the range of optimization parameter selection.
- aero-engine rotor /
- squeeze film damper /
- vibration jump /
- C-L method /
- bifurcation

HTML

参考文献(20)

[1]	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 aero-engine systems[J].Acta Aeronautica et Astronautica Sinica, 2011, 32(8):1371-1391.(in Chinese)
[2]	孟光, 薛中擎.带挤压油膜阻尼器的柔性转子非线性响应的Duffing特性分析[J].航空动力学报, 1989, 4(2):173-178. MENG Guang, XUE Zhongqing.Study on nonlinear Duffing characteristics of flexble rotor with SFDB[J].Journal of Aerospace Power, 1989, 4(2):173-178.(in Chinese)
[3]	孟光.非线性柔性转子-同心型挤压油膜阻尼器系统稳态及双稳态响应的稳定性分析[J].航空学报, 1990, 11(7):333-340. MENG Guang.Stability analysis on the steady state and bistable responses of flexible rotor supported in squeezed film dampers[J].Acta Aeronautica et Astronautica Sinica, 1990, 11(7):333-340.(in Chinese)
[4]	祝长生.非线性挤压油膜阻尼器柔性转子系统中的周期分叉特性[J].振动工程学报, 1997, 10(3):343-349. ZHU Changsheng.Periodic bifurcation behaviors of the flexible rotor system with nonlinear squeeze film damper[J].Journal of Vibration Engineering, 1997, 10(3):343-349.(in Chinese)
[5]	焦映厚, 陈照波, 夏松波, 等.非线性挤压油膜阻尼器-转子系统周期解的分叉及稳定性分析[J].机械科学与技术, 2004, 23(7):879-882. JIAO Yinghou, CHEN Zhaobo, XIA Songbo, et al.Period solution bifurcation and stability analysis of nonlinear squeeze film damper rotor system[J].Mechanical Science and Technology, 2004, 23(7):879-882.(in Chinese)
[6]	孟光, 夏南.多自由度强非线性柔性转子-挤压油膜阻尼器系统的分叉与混沌响应[J].航空学报, 2003, 24(1):42-45. MENG Guang, XIA Nan.Bifurcation and chaos responses of a flexible rotor-squeeze film damper system[J].Acta Aeronautica et Astronautica Sinica, 2003, 24(1):42-45.(in Chinese)
[7]	林富生, 张韬, 孟光.挤压油膜阻尼器-碰摩转子系统的非线性特性研究[J].振动与冲击, 2004, 23(1):12-16. LIN Fusheng, ZHANG Tao, MENG Guang.Nonlinear characteristics of the rub-impact response of a rotor system supported on squeeze film dampers[J].Journal of Vibration and Shock, 2004, 23(1):12-16.(in Chinese)
[8]	HE Erming, REN Xingmin, QIN Weiyang.Chaotic response of cracked rotor supported on squeeze film damper and the routes to chaos[J].Chinese Journal of Aeronautics, 2002, 15(3):145-149.
[9]	王红瑾, 秦卫阳, 杨树林, 等.带挤压油膜阻尼器双盘转子的参数变化对系统响应的影响[J].航空动力学报, 2009, 24(11):2545-2550. WANG Hongjin, QIN Weiyang, YANG Shulin, et al.Response of two-disk rotor with squeeze film dampers and its variation with parameters[J].Journal of Aerospace Power, 2009, 24(11):2545-2550.(in Chinese)
[10]	祝长生, 冯心海.柔性转子-挤压油膜阻尼器系统双稳态特性的实验研究[J].航空动力学报, 1988, 3(2):105-108. ZHU Changsheng, FENG Xinhai.An experimental investigation on the bistable behaviors of a flexible rotor-squeeze film damper system[J].Journal of Aerospace Power, 1988, 3(2):105-108.(in Chinese)
[11]	夏南, 孟光, 范彦斌.双盘悬臂柔性转子-同心型挤压油膜阻尼器系统关于稳态圆响应的参数优选[J].应用力学学报, 2000, 17(2):51-55. XIA Nan, MENG Guang, FAN Yanbin.The optimum parameters selection of a over-hung flexible rotor with two disks supported on centralized squeeze film damper[J].Chinse Journal of Applied Mechanics, 2000, 17(2):51-55.(in Chinese)
[12]	祝长生.新型动静压挤压油膜阻尼器对转子系统振动的控制能力[J].航空学报, 1996, 17(2):227-233. ZHU Changsheng.Ability of an advanced hybrid squeeze film damper to control rotor system vibration[J].Acta Aeronautica et Astronautica Sinica, 1996, 17(2):227-233.(in Chinese)
[13]	张世平, 晏砺堂.高效油膜阻尼器的研究与开发[J].航空动力学报, 1991, 6(2):180-184. ZHANG Shiping, YAN Litang.Development of an efficient oil film damper for improving the control of rotor vibration[J].Journal of Aerospace Power, 1991, 6(2):180-184.(in Chinese)
[14]	洪杰, 邓吟, 张大义.弹性环式挤压油膜阻尼器动力设计方法[J].北京航空航天大学学报, 2006, 32(6):649-653. HONG Jie, DENG Yin, ZHANG Dayi.Dynamic design method of elastic ring squeeze film damper[J].Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(6):649-653.(in Chinese)
[15]	赵杰, 晏砺堂, 朱梓根, 等.新型可动外环挤压油膜阻尼器减振特性研究[J].航空动力学报, 1998, 13(4):353-356. ZHAO Jie, YAN Litang, ZHU Zigen, et al.Vibration control of a new movable outer-ring squeeze film damper[J].Journal of Aerospace Power, 1998, 13(4):353-356.(in Chinese)
[16]	祝长生.锥形挤压油膜阻尼器转子系统的动力特性[J].机械科学与技术, 1996, 15(6):947-951. ZHU Changsheng.The steady state responses of conical squeeze film damper s upporting rotors[J].Mechanical Science and Technology, 1996, 15(6):947-951.(in Chinese)
[17]	张华彪, 陈予恕, 李军.弹性支承-刚性转子系统同步全周碰摩的分岔响应[J].应用数学和力学, 2012, 33(7):812-826. ZHANG Huabiao, CHEN Yushu, LI Jun.Bifurcation on the synchronous full annular rub of a rigid-rotor elastic-support system[J].Applied Mathematics and Mechanics, 2012, 33(7):812-826.(in Chinese)
[18]	刘方杰.挤压油膜阻尼器减振技术[J].机械制造, 1989, (12):13-16. LIU Fangjie.Vibration-reducing technology for squeeze film damper[J].Machinery, 1989(12):13-16.(in Chinese)
[19]	祝长生.带定心弹簧的挤压油膜阻尼器柔性转子系统主共振型双稳态特性[J].航空动力学报, 1990, 5(1):53-56. ZHU Changsheng.The behavior of main bistable operation in flexible rotor-squeeze film damper system with centralizing springs[J].Journal of Aerospace Power, 1990, 5(1):53-56.(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, 1993:148-167.