航空燃气轮机为了实现高负荷、轻质化的追求,在转子结构设计中,趋向于提高转速和加大长径比。这使得转子系统弯曲模态临界转速降低,转子在工作转速范围内不可避免会产生一定的弯曲变形。转子弯曲变形会影响连接结构界面接触特性的变化,使其连接结构局部弯曲刚度产生损失。因此,对于工作转速靠近弯曲临界的高速转子系统,需要考虑连接结构界面接触状态变化对转子系统振动特性的影响。以高负荷的长拉杆-止口连接转子系统为对象,分析连接界面接触应力分布特性,提出连接结构弯曲刚度损失修正方法,以此为基础建立界面连接转子动力学模型。通过对止口连接三级轴流压气机转子结构动力学特性的仿真和试验研究表明,在靠近弯曲振型临界转速下,转子连接界面接触状态的变化会产生弯曲刚度损失,对转子动力学特性具有显著影响。
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.
[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.