With the pursuit of higher output power and light weight of the aero-engine structure, the stiffness of the rotor structure has to be weakened, while the operational speed of the rotor is increased. These changes induce large bending deformation on the rotor in operation. The rotor structure system with multiple joints will experience a sudden change in contact characteristics at the joint interface when the rotor is exerted by the bending moment, and this sudden change will weaken the bending stiffness of these joints. Therefore, in the design span of the high-speed rotor system, the bending stiffness loss of the joint structure must be considered. In this paper, the contact status and stress distribution of the rod-rabbet joint interfaces are analyzed, followed by the establishment of the bending stiffness model of the joint. Based on the bending stiffness model, the dynamics of a typical rotor system is investigated. The simulation result reveals that the stiffness loss of the joints can significantly affect the dynamic characteristics of the rotor system, hence verifying the correctness of the bending stiffness loss model of the joint.
MA Yanhong
,
NI Yaoyu
,
CHEN Xueqi
,
DENG Wangqun
,
YANG Hai
. Bending stiffness loss of rod-rabbet joints and its effect on vibration response of rotor systems[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021
, 42(3)
: 223861
-223861
.
DOI: 10.7527/S1000-6893.2020.23861
[1] LIU S G, MA Y H, ZHANG D Y, et al. Studies on dynamic characteristics of the joint in the aero-engine rotor system[J]. Mechanical Systems and Signal Processing, 2012, 29(5):120-136.
[2] CHEN X Q, MA Y H, HONG J. Vibration suppression of additional unbalance caused by the non-continuous characteristics of a typical aero-engine rotor[C]//International Conference on Rotor Dynamics, 2018:34-48.
[3] HONG J, CHEN X Q, WANG Y F, et al. Optimization of dynamics of non-continuous rotor based on model of rotor stiffness[J]. Mechanical Systems and Signal Processing, 2019, 131(9):166-182.
[4] 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.
[5] LUAN Y, GUAN Z Q, CHENG G D, et al. A simplified nonlinear dynamic model for the analysis of pipe structures with bolted flange joints[J]. Journal of Sound and Vibration, 2012, 331(2):325-344.
[6] ZHUO M, YANG L H, YU L. Contact stiffness calculation and effects on rotordynamic of rod fastened rotor[C]//ASME 2016 International Mechanical Engineering Congress and Exposition, 2016:V009T12A014.
[7] CIAVARELLA M. The generalized Cattaneo partial slip plane contact problem. I-Theory[J]. International Journal of Solids and Structures, 1998, 35(18):2349-2362.
[8] CIAVARELLA M. The generalized Cattaneo partial slip plane contact problem. Ⅱ-Examples[J]. International Journal of Solids and Structures, 1998, 35(18):2363-2378.
[9] WILLIAMS M L. Stress singularities resulting from various boundary conditions[J]. Journal of Applied Mechanics, 1952, 19(4):526-528.
[10] GIANNAKOPOULOS A E, LINDLEY T C, SURESH S. Aspects of equivalence between contact mechanics and fracture mechanics:theoretical connections and a life-prediction methodology for fretting-fatigue[J]. Acta Materialia, 1998, 46(9):2955-2968.
[11] CIAVARELLA M. A ‘crack-like’ notch analogue for a safe-life fretting fatigue design methodology[J]. Fatigue & Fracture of Engineering Materials & Structures, 2003, 26(12):1159-1170.
[12] KROLIKOWSKI J, SZCZEPEK J. Assessment of tangential and normal stiffness of contact between rough surfaces using ultrasonic method[J]. Wear, 1993, 160(2):253-258.
[13] SHI X, POLYCARPOU A A. Measurement and modeling of normal contact stiffness and contact damping at the meso scale[J]. Journal of Vibration and Acoustics, 2005, 127(1):52-60.
[14] LI X, BHUSHAN B. A review of nanoindentation continuous stiffness measurement technique and its applications[J]. Materials Characterization, 2002, 48(1):11-36.
[15] KARTAL M E, MULVIHILL D M, NOWELL D, et al. Measurements of pressure and area dependent tangential contact stiffness between rough surfaces using digital image correlation[J]. Tribology International, 2011, 44(10):1188-1198.
[16] SONG Y, HARTWIGSEN C J, MCFARLAND D M, et al. Simulation of dynamics of beam structures with bolted joints using adjusted lwan beam elements[J]. Journal of Sound and Vibration, 2004, 273(1):249-276.
[17] GAUL L, SCHMIDT A. Implementation of fractional constitutive equations into the finite element method[M]. Springer International Publishing,2015:580-583.
[18] EHRLICH C, SCHMIDT A, GAUL L. Modelling joint damping in engines[J]. ATZ Worldwide, 2016, 118(3):66-71.
[19] 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. YAO 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).
[20] VAKIS A I, YASTREBOV V A, SCHEIBERT J, et al. Modeling and simulation in tribology across scales:An overview[J]. Tribology International, 2018, 125(9):169-199.
[21] SAINT-VENANT B. Mémoire sur la torsion des prismes[J]. Mémoires des Savants étrangers, 1855, 14(2):233-560.
[22] 洪杰,徐翕如,苏志敏,等. 高速转子连接结构刚度损失及振动特性[J].北京航空航天大学学报, 2019, 45(1):21-28 HONG J, XU X R, SU Z M, et al. Joint stiffness loss and vibration characteristics of high-speed rotor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(1):21-28(in Chinese).
[23] QIN Z Y, HAN Q K, CHU F L. Bolt loosening at rotating joint interface and its influence on rotor dynamics[J]. Engineering Failure Analysis, 2016, 59(1):456-466.
[24] WANG C, ZHANG D Y, ZHU X B, et al. Study on the stiffness loss and the dynamic influence on rotor system of the bolted flange joint[C]//Düsseldorf:ASME turbo expo 2014:Turbine Technical Conference and Exposition, 2014:V07AT31A020.
[25] ZHANG Q C, LI W X, LIANG Z C, et al. Study on the stiffness loss and its affecting factors of the spline joint used in rotor systems[C]//Düsseldorf:ASME Turbo Expo 2014:Turbine Technical Conference and Exposition, 2014:V07AT31A019.
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