裂纹拉杆转子连接界面非线性建模与多参数演变规律研究

摘要
图/表
参考文献(20)
相关文章 (15)

全文: PDF (2653 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要针对含拉杆裂纹的转子非线性振动现象，基于Paris裂纹扩展规律，建立了裂纹拉杆刚度模型；以界面接触刚度表征拉杆预紧作用，建立了轮盘接触刚度模型；采用Capone短轴承模型，完成了含拉杆裂纹的转子连接界面非线性动力学建模。通过系统Poincare截面分析发现，在转速与偏心多因素影响下得到的e-n分岔集中，系统在倍周期分岔与拟周期分岔之间交替变化；在裂纹扩展与转速的η-n分岔集中，解的分岔点分布不连续；不同转速下，位移随裂纹扩展的分岔轨迹比较复杂，拉杆裂纹的存在会加速或减缓分岔点的出现。结果表明：拉杆裂纹对转子稳定性作用机理受系统参数集的影响。研究结论对拉杆转子的参数设计与故障识别有一定意义。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	徐文标1
	2
	王艾伦1
	2
	廖泽雨2
	刘乐1
	2

关键词 ：拉杆转子, 裂纹扩展, 非线性建模, 连接界面, 分岔

Abstract：The nonlinear vibration phenomenon of a circumferential rod-fastened rotor with cracked rod is of nonlinear property.The stiffness model of the cracked rod was established based on the supposition of Paris crack propagation and the model of the disk interface contact stiffness was also established, by which the preloading effect of the rod was characterized.On this basis, a nonlinear dynamics model of the connection interface of the rotor with cracked rod was completed by refering to the Capone short bearing model.The solution was analysed by virtue of the Poincare section surface method.It is found that the system alternates between the periodic doubling bifurcation and the quasi-periodic bifurcation in the e-n bifurcation set obtained under the influence of the factors of rotational speed and eccentricity.The solution distribution of bifurcation points on the η-n bifurcation set obtained under the influence of crack propagation and rotational speed is discontinuous.At different rotational speed, the bifurcation trajectory of displacement along with the crack propagation is rather complicated, and the presence of rod crack will accelerate or decelerate the occurrence of the bifurcation point.The results show that the mechanism of the effect of rod crack on rotor stability is affected by the system parameter set.The conclusion has certain significance for parameter design and fault identification of rod-fastened rotors.

Key words： rod-fastened rotor crack propagation nonlinear modeling connection interface bifurcation

收稿日期: 2018-09-13 出版日期: 2020-03-15

引用本文:

徐文标1,2，王艾伦1,2，廖泽雨2，刘乐1,2. 裂纹拉杆转子连接界面非线性建模与多参数演变规律研究[J]. 振动与冲击, 2020, 39(6): 138-146.
XU Wenbiao1,2,WANG Ailun1,2,LIAO Zeyu2,LIU Le1,2. Nonlinear modeling of the connection interface of a rod-fastened rotor with cracked rod and its multi-parameter evolution. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(6): 138-146.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I6/138

[1] 姜建，蔡青春，陈愈. M701F型燃机压气机转子裂纹原因探讨、处理对策及对运行方式的讨论[J]. 科技创新导报，2010(20):109-109.
JIANG Jian, CAI Qingchun, CHEN Yu. Causes of cracks, treatment measures and discussion on operation mode in compressor rotor of M701F gas turbine[J]. Science and Technology Innovation Herald, 2010(20):109-109.
[2] 练力. M701F燃气轮机在日启停工况下的检修策略探讨[C]// 中国电机工程学会燃气轮机发电专业委员会年会. 2012:166-168、205.
LIAN Li. Discussion on maintenance strategy of M701F gas turbine under daily start-up and stop conditions[C]// Annul Meeting of CSEE Gas Turbine Power Generation Special Committee. 2012:166-168、205.
[3] LIEW A, FENG N S, HAHN E J. On using the transfer matrix formulation for transient analysis of nonlinear rotor bearing systems[J]. International Journal of Rotating Machinery, 2004, 10(6):425-431.
[4] 郑吉兵，孟光. 考虑非线性涡动时裂纹转子的分叉与混沌特性[J]. 振动工程学报，1997(2):190-197.
ZHENG Jibing, Meng Guang. The nonlinear influences of whirl speed on bifurcation and chaos of a cracked rotor[J]. Journal of Vibration Engineering, 1997(2):190-197.
[5] 刘长利，郑建荣，周炜，等. 松动裂纹转子轴承系统周期运动分岔及稳定性分析[J]. 振动与冲击，2007, 26(11):13-15.
LIU Changli, ZHENG Jianrong, ZHOU Wei, et al. On the bifurcation and stability of periodic motion of rotor-bearing systems with crack and pedestal looseness fault[J]. Journal of Vibration and Shock, 2007, 26(11):13-15.
[6] CVETICANIN L. Resonant vibrations of nonlinear rotors[J]. Mechanism & Machine Theory, 1995, 30(4):581-588.
[7] EBRAHIMI R, Ghayour M, Khanlo H M. Nonlinear dynamic analysis and experimental verification of a magnetically supported flexible rotor system with auxiliary bearings[J]. Mechanism & Machine Theory, 2018, 121:545-562.
[8] DAI L, CHEN C. Dynamic stability analysis of a cracked nonlinear rotor system subjected to periodic excitations in machining[J]. Journal of Vibration & Control, 2007, 13(5):537-556.
[9] 于海，陈予恕，曹庆杰. 多自由度裂纹转子系统非线性动力学特性分析[J]. 振动与冲击，2014, 33(7):92-98.
YU Hai， CHEN Yushu， CAO Qingjie. Nonlinear dynamic behavior analysis for a cracked multi-DOF rotor system[J]. Journal of Vibration and Shock, 2014, 33(7):92-98.
[10] SAEED N A, EISSA M. Bifurcations of periodic motion of a horizontally supported nonlinear Jeffcott rotor system having transversely cracked shaft[J]. International Journal of Non-Linear Mechanics, 2018, 101:113-130.
[11] LI C , SHE H , TANG Q , et al. The effect of blade vibration on the nonlinear characteristics of rotor-bearing system supported by nonlinear suspension[J]. Nonlinear Dynamics, 2017, 89:987-1010.
[12] LI C , ZHOU S , YANG S , et al. Dynamic characteristics of blade-disk-rotor system with structural mistuned features[J]. Open Mechanical Engineering Journal, 2014, 8(1):138-143.
[13] 刘恒，陈丽. 周向均布拉杆柔性组合转子轴承系统的非线性动力特性[J]. 机械工程学报，2010, 46(19):53-62.
LIU Heng, CHEN Li. Nonlinear dynamic analysis of a flexible rod fastening rotor bearing system[J]. Journal of Mechanical Engineering, 2010, 46(19):53-62.
[14] LIU Y, LIU H, WANG N. Effects of typical machining errors on the nonlinear dynamic characteristics of the rod-fastened rotor bearing system[J]. Journal of Vibration and acoustics-transactions of the ASME, 2016, 139(1).
[15] 李忠刚，陈照波，朱伟东，等. 盘式分布拉杆转子系统扭转振动非线性动力学特性分析[J]. 振动与冲击，2017,36(3):215-221.
LI Zhonggang CHEN Zhaobo ZHU Wei-dong, et al. Nonlinear dynamic characteristics analysis for torsional vibration of a distributed disk-rod-fastening rotor system[J]. Journal of Vibration and Shock, 2017,36(3):215-221.
[16]王艾伦，骆舟. 拉杆转子扭转振动研究[J]. 振动与冲击，2009, 28(5):165-168.
WANG Ailun, LUO Zhou. Study on rod fastening rotors torsional vibration[J]. Journal of Vibration and Shock, 2009, 28(5):165-168.
[17] 王艾伦，张海彪，李雪鹏，等. 含拉杆裂纹的组合转子性能退化机理[J]. 中南大学学报(自然科学版)，2017(8):2002-2009.
WANG Ailun, ZHANG Haibiao, LI Xuepeng, et al. Performance degradation mechanism of combined rotor considering crack in rod[J]. Journal of Central South University (Science and Technology), 2017(8):2002-2009.
[18] 伍颖. 断裂与疲劳[M]. 武汉：中国地质大学出版社，2008.
WU Ying. Fracture and fatigue [M]. Wuhan: China University of Geosciences Press, 2008.
[19] 李辉光，刘恒，虞烈. 粗糙机械结合面的接触刚度研究[J].西安交通大学学报，2011,45(6):69-74.
LI Huiguang, LIU Heng, YU Lie. Contact stiffness of rough mechanical joint surface [J]. Journal of Xi'an Jiaotong University, 2011,45(6):69-74.
[20] HU L, LIU Y, TENG W, et al. Nonlinear coupled dynamics of a rod fastening rotor under rub-impact and initial permanent deflection[J]. Energies, 2016, 9(12):883.