A New Blade-Casing Rubbing Model Based on Hertz Contact Theory

doi:10.16183/j.cnki.jsjtu.2019.06.004

Abstract

Abstract: Aiming at the phenomenon of aircraft engine blade-casing rubbing, this paper established a blade-casing Hertz-rubbing model considering the rotation effect and friction thermal effect. The influence factors of rubbing radial deformation were analyzed. The accuracy of the model was verified by comparing with the experiment results of existing normal rubbing force model. Moreover, the influence of rotation speed, stiffness coefficient, friction coefficient on the rubbing radial deformation were also analyzed. The results of the thermo-solid coupling simulation analysis on blade showed that the friction thermal effect had a certain influence on the overall radial deformation.

Key words: radial deformation； normal rub-impact force； rotation effect； friction thermal effect； rubbing model

CLC Number:

TH 113

ZHAO Yang,HUA Yixiong,ZHANG Zhinan，CHAI Xianghai. A New Blade-Casing Rubbing Model Based on Hertz Contact Theory[J]. Journal of Shanghai Jiaotong University, 2019, 53(6): 660-664.

References

［1］胡延青, 申秀丽. 航空发动机叶尖径向间隙研究进展综述［J］. 航空发动机, 2014, 40(1): 60-67. HU Yanqing, SHEN Xiuli. Overview on aeroengine radial tip clearance ［J］. Aeroengine, 2014, 40(1): 60-67. ［2］CHUPP R E, HENDRICKS R C, LATTIME S B, et al. Sealing in turbomachinery［J］. Journal of Propulsion and Power, 2006, 22(2): 313-349. ［3］PADOVAN J, CHOY F K. Nonlinear dynamics of rotor/blade/casing rub interactions［J］. Journal of Turbomachinery, 1987, 109(4): 527-534. ［4］刘杨, 太兴宇, 陈亚哲, 等. 非线性油膜力作用下的碰摩转子系统动力学分析［J］. 机械设计与制造, 2013, 3: 35-37. LIU Yang, TAI Xingyu, CHEN Yazhe, et al. Dynamic analysis of rubbing rotor system supported on non-linear oil film bearings［J］. Machinery Design & Manufacture, 2013, 3: 35-37. ［5］JIANG J, AHRENS J, ULBRICH H, et al. A contact model of a rotating rubbing blade［C］//Proceedings of the Fifth International Conference on Rotor Dynamics. Darmstadt, Germany: ［s.n.］, 1998: 478-489. ［6］MA H, TAI X Y, HAN Q K, et al. A revised model for rubbing between rotating blade and elastic casing［J］. Journal of Sound and Vibration, 2015, 337: 301-320. ［7］赖少将, 李舜酩, 闻静.航空发动机叶片-机匣碰摩摩擦热效应仿真分析［J］.航空发动机, 2017, 43(1): 21-26. LAI Shaojiang, LI Shunming, WEN Jing. Simulation analysis of friction thermal effect of aeroengine blade to case rub-impact ［J］. Aeroengine, 2017, 43 (1): 21-26. ［8］江俊, 陈艳华. 转子与定子碰摩的非线性动力学研究［J］. 力学进展, 2013, 43(1): 132-148. JIANG Jun, CHEN Yanhua. Advances in the research on nonlinear phenomona in rotor/stator rubbing systems［J］. Advances in Mechanics, 2013, 43(1): 132-148.

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