Mechanical models of influence of interface deformation on rotor dynamic characteristics
-
摘要:
针对航空发动机在工作过程中振动量增大且伴随有一定的界面磨损问题,在结构特征分析的基础上建立了三盘转子-支承系统动力学模型,并将接触端面同轴度偏差以及平行度偏差进行参数化描述,基于Lagrange方程得到考虑界面变形的高压刚性转子系统动力学微分方程。结果表明,界面变形将使得刚性转子系统产生附加激振力,同轴度偏差引起的附加激振力幅值与转速平方成正比,仅作用在相应自由度上;平行度偏差引起的附加激振力幅值仅与系统刚度和平行度偏差量有关,与转速无关,且其在支承自由度方向上存在一定分量。
Abstract:In order to analyze the problems of vibration increasing and interface wear of aero engine during work, the dynamic models of rotor-bearing system with three disks were established on the basis of the structural feature analysis. A parametric description has been made to analyze the coaxial and parallelism deviation of contact interface, and the dynamic differential equation for rigid high pressure rotor system was obtained by the Lagrangian method considering the interface deformation. The results exhibit that the interface deformation will cause the additional excitation force in the rigid rotor system, where the amplitude of the additional excitation force caused by the coaxial deviation is proportional to the square of the speed, and only applies to the corresponding degree of freedom; the amplitude of the additional excitation force caused by the parallelism deviation is only related with the rigidity and the deviation magnitude regardless of the speed, and it also applies to the support freedom.
-
-
[1] 付才高, 郑大平, 欧园霞.航空发动机设计手册第19册:转子动力学及整机振动[M].北京:航空工业出版社, 2000:1-6.FU C G, ZHENG D P, OU Y X.Aero engine design manual 19th:Rotordynamics and whole engine vibration[M].Beijing:Aviation Industry Press, 2000:1-6(in Chinese). [2] 洪杰, 马艳红, 张大义.航空燃气轮机总体结构设计与动力学分析[M].北京:北京航空航天大学出版社, 2014:366-369.HONG J, MA Y H, ZHANG D Y.Structure design and dynamic analysis of aero gas turbine engines[M].Beijing:Beihang University Press, 2014:366-369(in Chinese). [3] 陈萌, 马艳红, 刘书国, 等.航空发动机整机有限元模型转子动力学分析[J].北京航空航天大学学报, 2007, 33(9):1013-1016. http://bhxb.buaa.edu.cn/CN/abstract/abstract9414.shtmlCHEN M, MA Y H, LIU S G, et al.Rotordynamics analysis of whole aero-engine models based on finite element method[J].Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(9):1013-1016(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract9414.shtml [4] BÖSWALD M, LINK M, SCHEDLINSKI C. Computational model updating and validation of aero-engine finite element models based on vibration test data[C]//International Forum on Aeroelasticity and Structural Dynamics, 2005: 1-17. [5] 李俊慧, 马艳红, 洪杰.转子系统套齿结构动力学设计方法研究[J].航空发动机, 2009, 35(4):36-39. http://mall.cnki.net/magazine/Article/HKFJ200904004.htmLI J H, MA Y H, HONG J.Dynamic design method of spline joint structure for rotor system[J].Aero Engine, 2009, 35(4):36-39(in Chinese). http://mall.cnki.net/magazine/Article/HKFJ200904004.htm [6] 闻邦椿, 顾家柳.高等转子动力学:理论、技术与应用[M].北京:机械工业出版社, 1999:77-82.WEN B C, GU J L.Advanced rotor dynamics-theory technology and application[M].Beijing:China Machine Press, 1999:77-82(in Chinese). [7] ARUMUGAM P, SWARNAMANI S, PRABHU B S. Effects of coupling misalignment on the vibration characteristics of a two stage turbine rotor[C]//ASME Design Engineering Technical Conference. New York: ASME, 1995: 1049-1054. [8] LI J, HONG J, MA Y, et al. Modelling of misaligned rotor systems in aero-engines[C]//ASME 2012 International Mechanical Engineering Congress and Exposition. New York: ASME, 2012: 535-543. [9] 姚星宇, 王建军, 翟学.航空发动机螺栓连接薄层单元建模方法[J].北京航空航天大学学报, 2015, 41(12):2269-2279. http://bhxb.buaa.edu.cn/CN/abstract/abstract13640.shtmlYAO X Y, WANG J J, ZHAI X.Modeling method of bolted joints of aero engine based on thin-layer element[J].Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(12):2269-2279(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13640.shtml [10] 姚星宇, 王建军.航空发动机螺栓连接载荷与结构参数对连接刚度影响规律[J].推进技术, 2017, 38(2):424-433. http://www.cnki.com.cn/Article/CJFDTOTAL-XJXG201008009.htmYAO X Y, WANG J J.Effects of load and structure parameters of aero engine bolted joints on joint stiffness[J].Journal of Propulsion Technology, 2017, 38(2):424-433(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-XJXG201008009.htm [11] QIN Z Y, HAN Q K, CHU F L.Analytical model of bolted disk-drum joints and its application to dynamic analysis of jointed rotor[J].Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2014, 228(4):646-663. doi: 10.1177/0954406213489084 [12] QIN Z, HAN Q, CHU F.Bolt loosening at rotating joint interface and its influence on rotor dynamics[J].Engineering Failure Analysis, 2016, 59:456-466. doi: 10.1016/j.engfailanal.2015.11.002 [13] LIU S, MA Y, ZHANG D, et al.Studies on dynamic characteristics of the joint in the aero-engine rotor system[J].Mechanical Systems & Signal Processing, 2012, 29(5):120-136. https://www.sciencedirect.com/science/article/pii/S0888327011005176 [14] WANG C, ZHANG D, ZHU X, et al. Study on the stiffness loss and the dynamic influence on rotor system of the bolted flange joint[C]//ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. New York: ASME, 2014: 1-14. [15] 杨帆. 燃气轮机螺栓连接结构热蠕动及动力学特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2016. http://cdmd.cnki.com.cn/Article/CDMD-10213-1016774328.htmYANG F. Gas turbine bolt connection structure thermal creep and dynamics research[D]. Harbin: Harbin Institute of Technology, 2016(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10213-1016774328.htm [16] YAMAMOTO T, ISHIDA Y.Linear and nonlinear rotordynamics:A modern treatment with applications[M].New York:John Wiley & Sons, 2001:35-39.