拉杆转子接触界面参数识别和动力学研究进展Research Progress on Interface Parameter Identification and Dynamics of Tie-Bolt Rotors
李浦,袁奇
摘要(Abstract):
拉杆转子广泛应用于燃气轮机和航空发动机,由于考虑了多组合界面几何结构、界面参数不确定性和多支撑边界条件等影响因素,传统的正向分析无法准确预测转子的模态特性和动力学响应。针对复杂边界条件下拉杆转子跨尺度接触参数的不确定问题,开展了接触界面参数识别和动力学研究综述,全面回顾了基于平面接触和端面齿连接的典型拉杆转子的结构特点和结构完整性设计要求,介绍了接触刚度计算常用的统计学模型和分形模型,总结了节点单元、零厚度接触单元和薄层接触单元3种常用的接触界面有限元建模方法和特点,综述了非线性边界条件下转子模型的参数识别研究进展、动力学研究进展和预紧力设计准则。通过对现有研究成果的总结及全面分析,给出了端面齿盘拉杆转子跨尺度建模、复杂边界下的转子界面参数识别、多物理域转子非线性动力学分析以及考虑预紧失谐的工程装配设计准则等未来的研究方向。
关键词(KeyWords): 拉杆转子;接触刚度;动力学;端面齿;参数识别;预紧力
基金项目(Foundation): 国家科技重大专项资助项目(J2019-Ⅳ-0005-0072);; 陕西省自然科学基金资助项目(2019-JQ-611)
作者(Author): 李浦,袁奇
参考文献(References):
- [1] 孟凡刚,冯永志,于宁,等.燃气轮机典型故障统计分析及运行维护 [J].电气时代,2020(1):52-53,56.MENG Fangang,FENG Yongzhi,YU Ning,et al.Statistical analysis and operation and maintenance of typical faults of gas turbines [J].Electric Age,2020(1):52-53,56.
- [2] SPAKOVSZKY Z S.Instabilities Everywhere! Hard problems in aero-engines [J].Journal of Turbomachinery,2023,145(2):021011.
- [3] CROCCOLO D,DE AGOSTINIS M,FINI S,et al.On Hirth ring couplings:design principles including the effect of friction [J].Actuators,2018,7(4):79.
- [4] 束国刚,陈坚,张晓毅,等.重型燃气轮机结构完整性分析 [J].动力工程学报,2022,42(12):1213-1222,1271.SHU Guogang,CHEN Jian,ZHANG Xiaoyi,et al.Mechanical integrity analysis of heavy-duty gas turbines [J].Journal of Chinese Society of Power Engineering,2022,42(12):1213-1222,1271.
- [5] SHAFIEI A,KAZEMPOUR-LIASI H.Failure analysis of gas turbine torque tube bolts [J].Engineering Failure Analysis,2021,124:105369.
- [6] KOGUT L,JACKSON R L.A comparison of contact modeling utilizing statistical and fractal approaches [J].Journal of Tribology,2006,128(1):213-217.
- [7] POPOV V L.Contact mechanics and friction:physical principles and applications [M].Heidelberg:Springer,2010.
- [8] ARCHARD J F.Elastic deformation and the laws of friction [J].Proceedings of the Royal Society of London:Series A Mathematical and Physical Sciences,1957,243(1233):190-205.
- [9] GREENWOOD J A,WILLIAMSON J B P,BOWDEN F P.Contact of nominally flat surfaces [J].Proceedings of the Royal Society of London:Series A Mathematical and Physical Sciences,1966,295(1442):300-319.
- [10] PULLEN J,WILLIAMSON J B P.On the plastic contact of rough surfaces [J].Proceedings of the Royal Society of London:Series A Mathematical and Physical Sciences,1972,327(1569):159-173.
- [11] CHANG W R,ETSION I,BOGY D B.An elastic-plastic model for the contact of rough surfaces [J].Journal of Tribology,1987,109(2):257-263.
- [12] ZHAO Yongwu,CHANG L.A model of asperity interactions in elastic-plastic contact of rough surfaces [J].Journal of Tribology,2001,123(4):857-864.
- [13] ZHAO Yongwu,MAIETTA D M,CHANG L.An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow [J].Journal of Tribology,2000,122(1):86-93.
- [14] MANDELBROT B B,PASSOJA D E,PAULLAY A J.Fractal character of fracture surfaces of metals [J].Nature,1984,308(5961):721-722.
- [15] MAJUMDAR A,BHUSHAN B.Role of fractal geometry in roughness characterization and contact mechanics of surfaces [J].Journal of Tribology,1990,112(2):205-216.
- [16] MAJUMDAR A,BHUSHAN B.Fractal model of elastic-plastic contact between rough surfaces [J].Journal of Tribology,1991,113(1):1-11.
- [17] YAN W,KOMVOPOULOS K.Contact analysis of elastic-plastic fractal surfaces [J].Journal of Applied Physics,1998,84(7):3617-3624.
- [18] 张学良,温淑花.基于接触分形理论的结合面切向接触刚度分形模型 [J].农业机械学报,2002,33(3):91-93,97.ZHANG Xueliang,WEN Shuhua.A fractal model of tangential contact stiffness of joint surfaces based on the contact fractal theory [J].Transactions of the Chinese Society for Agricultural Machinery,2002,33(3):91-93,97.
- [19] 张学良,黄玉美,温淑华.结合面接触刚度分形模型研究 [J].农业机械学报,2000,31(4):89-91.ZHANG Xueliang,HUANG Yumei,WEN Shuhua.Fractal model of contact stiffness of joint surfaces [J].Transactions of the Chinese Society for Agricultural Machinery,2000,31(4):89-91.
- [20] POHRT R,POPOV V L.Normal contact stiffness of elastic solids with fractal rough surfaces [J].Physical Review Letters,2012,108(10):104301.
- [21] ZHANG Dayi,XIA Ying,SCARPA F,et al.Interfacial contact stiffness of fractal rough surfaces [J].Scientific Reports,2017,7(1):12874.
- [22] 饶柱石,夏松波,汪光明.组合式特种转子振动模态的实验研究与计算 [J].振动与冲击,1996,15(1):68-70.RAO Zhushi,XIA Songbo,WANG Guangming.Experimental modal analysis and computation for special kind of composite rotor system [J].Journal of Vibration and Shock,1996,15(1):68-70.
- [23] KIM Y C,KIM K W.Influence of lamination pressure upon the stiffness of laminated rotor [J].JSME International Journal Series C Mechanical Systems,Machine Elements and Manufacturing,2006,49(2):426-431.
- [24] 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 rotor’s torsional vibration [J].Journal of Vibration and Shock,2009,28(5):165-168.
- [25] 王艾伦,骆舟.拉杆转子轴向振动的动力学模型 [J].中国机械工程,2009,20(13):1524-1527.WANG Ailun,LUO Zhou.Research on rod fastening rotor dynamics-axial vibration [J].China Mechanical Engineering,2009,20(13):1524-1527.
- [26] BOGRAD S,REUSS P,SCHMIDT A,et al.Modeling the dynamics of mechanical joints [J].Mechanical Systems and Signal Processing,2011,25(8):2801-2826.
- [27] 何鹏,刘占生,张广辉,等.分布拉杆转子动力学建模与分析 [J].汽轮机技术,2010,52(1):4-8.HE Peng,LIU Zhansheng,ZHANG Guanghui,et al.Dynamic modeling and analysis of distributed rod fastening rotor [J].Turbine Technology,2010,52(1):4-8.
- [28] GAO Jin,YUAN Qi,LI Pu,et al.Effects of bending moments and pretightening forces on the flexural stiffness of contact interfaces in rod-fastened rotors [J].Journal of Engineering for Gas Turbines and Power,2012,134(10):102503.
- [29] GOODMAN R E,TAYLOR R L,BREKKE T L.A model for the mechanics of jointed rock [J].Journal of the Soil Mechanics and Foundations Division,1968,94(3):637-659.
- [30] OH J,KIM B J,PALAZZOLO A.Three-dimensional solid finite element contact model for rotordynamic analysis:experiment and simulation [J].Journal of Vibration and Acoustics,2021,143(3):031007.
- [31] BALAJI N N,CHEN Wei,BRAKE M R W.Traction-based multi-scale nonlinear dynamic modeling of bolted joints:formulation,application,and trends in micro-scale interface evolution [J].Mechanical Systems and Signal Processing,2020,139:106615.
- [32] YAO Xingyu,WANG Jianjun,ZHAI Xue.Research and application of improved thin-layer element method of aero-engine bolted joints [J].Proceedings of the Institution of Mechanical Engineers:Part G Journal of Aerospace Engineering,2017,231(5):823-839.
- [33] MA Yanhong,WANG Yongfeng,WANG Cun,et al.Nonlinear interval analysis of rotor response with joints under uncertainties [J].Chinese Journal of Aeronautics,2020,33(1):205-218.
- [34] DU Bing,QIN Zhaoye,LU Qiuhai,et al.Dynamic modeling of tie-bolt rotors via fractal contact theory and virtual material method [J].Proceedings of the Institution of Mechanical Engineers:Part C Journal of Mechanical Engineering Science,2022,236(11):5900-5915.
- [35] RIMPEL A M,LEOPARD M.Simple contact stiffness model validation for tie bolt rotor design with butt joints and pilot fits [J].Journal of Engineering for Gas Turbines and Power,2020,142(1):011014.
- [36] 赵润超,焦映厚,曲秀全,等.基于虚拟材料层燃机转子接触面建模方法 [J].哈尔滨工业大学学报,2021,53(1):117-123.ZHAO Runchao,JIAO Yinghou,QU Xiuquan,et al.Modeling method of gas turbine rotor contact surface based on virtual material layer [J].Journal of Harbin Institute of Technology,2021,53(1):117-123.
- [37] 尹泽勇,胡柏安,吴建国,等.端齿连接转子轴向预紧力的确定 [J].航空动力学报,1996,11(4):355-357.YIN Zeyong,HU Baian,WU Jianguo,et al.Determination of axial preloads of rotors with curvic couplings [J].Journal of Aerospace Power,1996,11(4):355-357.
- [38] 尹泽勇,欧园霞,李彦,等.轴向预紧端齿连接转子的动力特性分析 [J].航空动力学报,1994,9(2):133-136.YIN Zeyong,OU Yuanxia,LI Yan,et al.A dynamic characteristic analysis for axially prestressed rotor systems with curvic couplings [J].Journal of Aerospace Power,1994,9(2):133-136.
- [39] YUAN Shuxia,ZHANG Youyun,ZHU Yongsheng,et al.Study on the equivalent stiffness of heavy-duty gas turbines composite rotor with curvic couplings and spindle tie-bolts [C]//ASME 2011 Power Conference collocated with JSME ICOPE 2011.New York,NY,USA:ASME,2011:567-576.
- [40] LIU Heng,HONG Jie,RUAN Shilun,et al.A model accounting for stiffness weakening of curvic couplings under various loading conditions [J].Mathematical Problems in Engineering,2020,2020:1042375.
- [41] LIU Di,ZHOU Liang,ZHANG Dayi,et al.Modeling and dynamic analysis for rotors with curvic-coupling looseness [J].Journal of Vibration and Control,2023,29(9/10):1996-2009.
- [42] YU Y,LEE B,CHO Y.Analysis of contact and bending stiffness for Curvic couplings considering contact angle and surface roughness [J].Proceedings of the Institution of Mechanical Engineers:Part E Journal of Process Mechanical Engineering,2019,233(6):1257-1267.
- [43] KIM B J,OH J,PALAZZOLO A.Test and theory for a refined structural model of a Hirth coupling [J].Journal of Engineering for Gas Turbines and Power,2022,144(3):031027.
- [44] KIM B J,OH J,PALAZZOLO A.An improved preloaded Curvic coupling model for rotordynamic analyses [J].Journal of Sound and Vibration,2023,544:117391.
- [45] KERSCHEN G,WORDEN K,VAKAKIS A F,et al.Past,present and future of nonlinear system identification in structural dynamics [J].Mechanical Systems and Signal Processing,2006,20(3):505-592.
- [46] NO?L J P,KERSCHEN G.Nonlinear system identification in structural dynamics:10 more years of progress [J].Mechanical Systems and Signal Processing,2017,83:2-35.
- [47] ZHANG Genbei,ZANG Chaoping,FRISWELL M I.Identification of weak nonlinearities in MDOF systems based on reconstructed constant response tests [J].Archive of Applied Mechanics,2019,89(10):2053-2074.
- [48] ZHANG Yanchun,DU Zhaogang,SHI Liming,et al.Determination of contact stiffness of rod-fastened rotors based on modal test and finite element analysis [J].Journal of Engineering for Gas Turbines and Power,2010,132(9):094501.
- [49] 张子阳,谢寿生,钱征文,等.拉杆结构中弹簧刚度和有限元模型刚度融合修正方法研究 [J].振动与冲击,2011,30(11):53-56.ZHANG Ziyang,XIE Shousheng,QIAN Zhengwen,et al.Fusion stiffness modification of spring and FE model of rod fastening rotor [J].Journal of Vibration and Shock,2011,30(11):53-56.
- [50] 高进,袁奇,李浦,等.燃气轮机拉杆式转子的刚度模化和模型修正方法 [J].西安交通大学学报,2013,47(5):18-23.GAO Jin,YUAN Qi,LI Pu,et al.Methods for modeling stiffness and model updating for the rod-fastened rotor of gas turbine [J].Journal of Xi’an Jiaotong University,2013,47(5):18-23.
- [51] 缪辉,臧朝平,罗欣洋,等.基于薄层单元的拉杆转子接触界面动力学建模及修正 [J].航空动力学报,2019,34(9):1927-1935.MIAO Hui,ZANG Chaoping,LUO Xinyang,et al.Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element [J].Journal of Aerospace Power,2019,34(9):1927-1935.
- [52] LI Pu,YUAN Qi.Determination of contact stiffness and damping of a tie-bolt rotor with interference fits using model updating with thin-layer elements [J].Shock and Vibration,2020,2020:8872401.
- [53] 赵广,王永泉,赵向阳,等.盘鼓螺栓连接结构接触刚度建模与应用检验 [J].航空动力学报,2022,37(1):76-86.ZHAO Guang,WANG Yongquan,ZHAO Xiangyang,et al.Modeling and application test of contact stiffness of bolt connection structure of disk and drum [J].Journal of Aerospace Power,2022,37(1):76-86.
- [54] ZOU Cunjian,XIA Huateng,CHEN Kai,et al.Research on the identification method of the pre-tightening state of the matching surface of the aero-engine disk-drum rotor [J].Engineering Failure Analysis,2022,136:106208.
- [55] 边涛,谢寿生,刘云龙.基于HHT的拉杆转子结构模态参数识别 [J].噪声与振动控制,2017,37(5):23-28.BIAN Tao,XIE Shousheng,LIU Yunlong.Modal parameters identification of rod fastening rotors based on HHT [J].Noise and Vibration Control,2017,37(5):23-28.
- [56] 颜正杰,李海伟,朱坚民.基于神经网络近似模型的拉杆转子结合面参数识别 [J].农业装备与车辆工程,2019,57(10):77-81.YAN Zhengjie,LI Haiwei,ZHU Jianmin.Identification of characteristic parameters of rod-fastened rotor joints based on neural network approximation modeling [J].Agricultural Equipment & Vehicle Engineering,2019,57(10):77-81.
- [57] 高锐,袁奇,高进.燃气轮机拉杆转子有限元模型研究及临界转速计算 [J].热能动力工程,2009,24(3):305-308.GAO Rui,YUAN Qi,GAO Jin.A study of a finite element model for a gas turbine tie-rod rotor and its critical speed calculation [J].Journal of Engineering for Thermal Energy and Power,2009,24(3):305-308.
- [58] JAM J E,MEISAMI F,NIA N G.Vibration analysis of tie-rod/tie-bolt rotors using FEM [J].International Journal of Engineering Science and Technology,2011,3(10):7292-7300.
- [59] WAGNER N,HELFRICH R.Static and dynamic analysis of a rod-fastened rotor [C]//NAFEMS World Congress.Stockholm:NAFEMS World Congress,2017:1-9.
- [60] XU Haoliang,YANG Lihua,XU Tengfei.Dynamic analysis of the rod-fastened rotor considering the characteristics of circumferential tie rods [J].Applied Sciences,2021,11(9):3829.
- [61] 程礼,李帅莹,钱征文.带挤压油膜阻尼器的盘式拉杆转子双稳态振动特性 [J].航空动力学报,2013,28(9):2044-2049.CHENG Li,LI Shuaiying,QIAN Zhengwen.Bistable vibration characteristics of disk-rod-fastening rotor with squeeze film dumper [J].Journal of Aerospace Power,2013,28(9):2044-2049.
- [62] HEI Di,LU Yanjun,ZHANG Yongfang,et al.Nonlinear dynamic behaviors of rod fastening rotor-hydrodynamic journal bearing system [J].Archive of Applied Mechanics,2015,85(7):855-875.
- [63] HU Liang,LIU Yibing,ZHAO Li,et al.Nonlinear dynamic response of a rub-impact rod fastening rotor considering nonlinear contact characteristic [J].Archive of Applied Mechanics,2016,86(11):1869-1886.
- [64] LI Yuqi,WEN Chuanmei,LUO Zhong,et al.Vibration analysis of a multi-disk bolted joint rotor-bearing system subjected to fixed-point rubbing fault [J].International Journal of Non-Linear Mechanics,2022,146:104165.
- [65] LIU Yi,LIU Heng,FAN Bowen.Nonlinear dynamic properties of disk-bolt rotor with interfacial cutting faults on assembly surfaces [J].Journal of Vibration and Control,2018,24(19):4369-4382.
- [66] WANG Nanshan,LIU Heng,LIU Yi,et al.Effect of a transverse crack on the dynamic behaviours of a 3D rod-fastening rotor bearing system [J].Industrial Lubrication and Tribology,2021,73(2):221-229.
- [67] 金淼,王艾伦,王青山,等.考虑端齿预紧的新型中心拉杆-转子-叶片耦合系统动力学特性分析 [J].机械工程学报,2021,57(23):124-136.JIN Miao,WANG Ailun,WANG Qingshan,et al.Dynamic characteristics a analysis of a new type of central tie rod rotor-blade-bearing coupling system considering the end-tooth connection structure [J].Journal of Mechanical Engineering,2021,57(23):124-136.
- [68] WANG Longkai,WANG Ailun,JIN Miao,et al.Nonlinear dynamic response and stability of a rod fastening rotor with internal damping effect [J].Archive of Applied Mechanics,2021,91(9):3851-3867.
- [69] LIU Yi,LIU Heng,LI Yuan,et al.Dynamic modeling and nonlinear characteristics of a cracked bolt-disk combined rotor system [J].Journal of Engineering for Gas Turbines and Power,2021,143(9):091024.
- [70] ZHANG Yue,XIANG Ling,SU Hao,et al.Dynamic analysis of composite rod fastening rotor system considering multiple parameter influence [J].Applied Mathematical Modelling,2022,105:615-630.
- [71] ZHANG Yue,LIU Suixian,XIANG Ling,et al.Dynamic analysis of a multi-disk rod fastening rotor system with rub-impact based on multiple parameters [J].Nonlinear Dynamics,2022,107(3):2133-2152.
- [72] HONG Jie,YANG Zhefu,WANG Yongfeng,et al.Combination resonances of rotor systems with asymmetric residual preloads in bolted joints [J].Mechanical Systems and Signal Processing,2022,183:109626.
- [73] 王奇,贾睿东,杨树华,等.拉杆转子预紧力建模及其诱发振动局部化研究 [J/OL].航空动力学报:1-11 [2023-01-10].https://doi.org/10.13224/j.cnki.jasp.20210383.WANG Qi,JIA Ruidong,YANG Shuhua,et al.Modelling of pre-tightening force in rod-fastened rotors and it induced vibration localization [J/OL].Journal of Aerospace Power:1-11 [2023-01-10].https://doi.org/10.13224/j.cnki.jasp.20210383.
- [74] 罗忠,王晋雯,韩清凯,等.组合支承转子系统动力学的研究进展 [J].机械工程学报,2021,57(7):44-60.LUO Zhong,WANG Jinwen,HAN Qingkai,et al.Review on dynamics of the combined support-rotor system [J].Journal of Mechanical Engineering,2021,57(7):44-60.
- [75] JANSSEN M J,JOYCE J S.35-year old splined-disc rotor design for large gas turbines [C]//ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition.New York,NY,USA:ASME,1996:V005T14A060.
- [76] LI Pu,YUAN Qi.Stress variation of a gas turbine tie-bolt rotor with Hirth serrations considering assembling and thermal effects [J].Proceedings of the Institution of Mechanical Engineers:Part C Journal of Mechanical Engineering Science,2020,234(24):4932-4944.
- [77] 袁奇,李浦.燃气轮机拉杆转子结构动力学 [M].西安:西安交通大学出版社,2021.
- [78] 袁奇,高进,李浦,等.重型燃气轮机转子结构及动力学特性研究综述 [J].热力透平,2013,42(4):294-301.YUAN Qi,GAO Jin,LI Pu,et al.A review for structure and dynamic characteristics of heavy-duty gas turbine rotor [J].Thermal Turbine,2013,42(4):294-301.