基于薄层单元的拉杆转子接触界面动力学建模及修正

缪辉; 臧朝平; 罗欣洋; 王晓伟; 梁波

doi:10.13224/j.cnki.jasp.2019.09.009

基于薄层单元的拉杆转子接触界面动力学建模及修正

doi: 10.13224/j.cnki.jasp.2019.09.009

1.
南京航空航天大学能源与动力学院,南京 210016
2.
南京机电液压工程研究中心航空机电系统综合航空科技重点实验室,南京 211106

基金项目: 国家自然科学基金委员会与中国工程物理研究院联合基金(U1730129); 国家自然科学基金(11372128)

计量
- 文章访问数: 891
- HTML浏览量: 4
- PDF量: 1026
- 被引次数: 0
出版历程
- 收稿日期: 2019-03-21
- 刊出日期: 2019-09-28

Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element

摘要

摘要: 为了研究具有复杂接触界面拉杆转子系统的动力学特性,发展了基于薄层单元的拉杆转子接触界面动力学建模及修正方法。采用线性本构关系的薄层单元模拟转子部件的复杂接触关系,基于模态试验数据,运用分层模型修正方法对预紧状态下拉杆转子部件接触面的连接刚度进行识别,通过识别的薄层连接参数建立拉杆转子动力学预测模型。将拉杆转子动力学预测模型的结果与试验数据进行对比分析,结果表明:采用线性本构关系薄层单元能够模拟拉杆预紧状态下接触界面的力学特性,修改薄层单元弹性模量能够模拟接触界面的法向刚度和切向刚度;修正后转子模型与测试结果的最大频率误差为0.6%,平均频率相对误差为0.25%,修正后模型能预测实际结构的振动响应。
- 拉杆转子 /
- 动力学建模 /
- 薄层单元 /
- 模型修正 /
- 刚度识别 /
- 动力学预测
Abstract: In order to study the dynamic characteristics of a rod fastening rotor system with complex contact interfaces, a method for dynamic modeling and updating of a rod fastening rotor system with contact interfaces is developed based on thin layer elements. The contact relationship of the rod fastening rotor parts was simulated by the thin layer element of linear constitutive relationship. Based on modal test data, the connection stiffness of contact interfaces of the rotor parts of pre-tighten status was identified by the hierarchical model updating method, and then the dynamic prediction model of the rod fastening rotor system was established via the identified connection parameters of the thin layer elements. The dynamic predictions of the rod fastening rotor were compared with the experimental data. Results show that the mechanical properties of the contact interfaces under the pre-tightening state of the tie rod can be simulated by using the thin-layer elements with linear constitutive relation, and the normal and tangential stiffness of the contact interfaces can be simulated by modifying elastic modulus of the thin-layer elements. The maximum frequency error and the average frequency relative error between the updated rotor model and the test data were 0.6% and 0.25%, respectively, and the updated model can predict the vibration responses of its actual structure.
- rod fastening rotor /
- dynamic modeling /
- thin-layer element /
- model updating /
- stiffness identification /
- dynamic prediction

HTML

参考文献(22)

[1]	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.YUANQi,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.(in Chinese)
[2]	HE Peng,LIU Zhansheng,WANG Guilong,et al.Rotor dynamic analysis of tie-bolt fastened rotor based on elastic-plastic contact［R］.Vancouver,Canada:ASME 2011 Turbo Expo:Turbine Technical Conference and Exposition,2011.
[3]	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.
[4]	BRIZMER V,KLIGERMAN Y,ETSION I.Elastic-plastic spherical contact under combined normal and tangential loading in full stick［J］.Tribology Letters,2007,25(1):61-70.
[5]	李辉光,刘恒,虞烈.周向拉杆转子系统非线性动力行为及稳定性［J］.机械工程学报,2011,47(23):82-91.LI Huiguang,LIU Heng,YU Lie.Nonlinear dynamic behaviors and stability of circumferential rod fastening rotor system［J］.Journal of Mechanical Engineering,2011,47(23):82-91.(in Chinese)
[6]	MACKERLE J.Finite Element Analysis of fastening and joining:a bibliography (1990-2002)［J］.International Journal of Pressure Vessels and Piping,2003,80(4):253-271.
[7]	汪光明,饶柱石,夏松波,等.拉杆转子力学模型的研究［J］.航空学报,1993,14(8):419-423.WANG Guangming,RAO Zhushi,XIA Songbo,et al.The analysis of mechanical model of rod fastening rotor［J］.Acta Aeronautica et Astronautica Sinica,1993,14(8):419-423.(in Chinese)
[8]	卢明剑,孙岩桦,周健,等.拉杆组合转子的刚度修正及动力学建模［J］.航空动力学报,2016,31(9):2203-2209.LU Mingjian,SUN Yanyue,ZHOU Jian,et al.Stiffness modification and dynamic modeling of a rod fastening rotor［J］.Journal of Aerospace Power,2016,31(9):2203-2209.(in Chinese)
[9]	章圣聪,王艾伦.盘式拉杆转子的振动特性研究［J］.振动与冲击,2009,28(4):117-120.ZHANG Shengcong,WANG Ailun.Analysis of vibration characteristics of a disk-rotor-fastening rotor［J］.Journal of Vibration and Shock,2009,28(4):117-120.(in Chinese)
[10]	胡亮,柳亦兵,赵立,等.碰摩拉杆转子非线性动力学响应特性［J］.动力工程学报,2017,37(7):533-539.HU Liang,LIU Yibing,ZHAO Li,et al.Nonlinear dynamic response characteristics of a rod fastening rotor with rub-impact faults［J］.Journal of Chinese Society of Power Engineering,2017,37(7):533-539.(in chinese)
[11]	GOODMAN R E,TAYOR R L,BREKE T L.A model for the mechanics of jointed rock［J］.Journal of Soil Mechanics and Foundations,1968,94(3):637-659.
[12]	JALALI H,HEDAYATI A,AHMADIAN H.Modelling mechanical interfaces experiencing micro-slip/slap［J］.Inverse Problems in Science and Engineering,2011,19(6):751-764.
[13]	BOGRAD S,SCHMIDT A,GAUL L.Joint damping prediction by thin layer elements［R］.Bethel,CT:IMAC 26th Society of Experimental Mechanics Incorporation,2008.
[14]	AHMADIAN H,MOTTERSHEAD J E,JAMES S,et al.Modelling and updating of large surface-to-surface joints in the AWE-MACE structure［J］.Mechanical Systems and Signal Processing,2006,20(4):868-880.
[15]	MAYER M H,GAUL L.Segment-to-segment contact elements for modelling joint interfaces in finite element analysis［J］.Mechanical Systems and Signal Processing,2007,21(2):724-734.
[16]	姜东,吴邵庆,史勤丰,等.基于薄层单元的螺栓连接结构接触面不确定性参数识别［J］.工程力学,2015,32(4):220-227.JIANG Dong,WU Shaoqing,SHI Qinfeng,et al.Contact interface parameter identification of bolted joint structure with uncertainty using thin layer element method［J］.Engineering Mechanics,2015,32(4):220-227.(in Chinese)
[17]	王勖成,邵敏.有限单元法基本原理和数值方法［M］.2版.北京:清华大学出版社,1997.
[18]	PANDE G N,SHARMA K G.On joint/interface elements and associated problems of numerical ill-conditioning［J］.International Journal for Numerical and Analytical Methods in Geomechanics,2010,3(3):293-300.
[19]	DESAI C S,ZAMAN M M,LIGHTNER J G,et al.Thin-layer element for interfaces and joints［J］.International Journal for Numerical and Analytical Methods in Geomechanics,1984,8(1):19-43.
[20]	朱跃,张令弥,郭勤涛.基于分层思想对复杂工程结构的有限元模型修正技术研究［J］.振动与冲击,2011,30(12):175-180.ZHU Yue,ZHANG Lingmi,GUO Qintao.Finite element model updating technique based on hierarchical method of complex engineering structure［J］.Journal of Vibration and Shock,2011,32(12):175-180.(in Chinese)
[21]	ZANG C P,EWINS D J.Model validation for structural dynamics in the aero-engine design process［J］.Frontiers in Energy,2009,3(4):480-488.
[22]	RAO S S.Engineering optimization:theory and practice［M］.New Jersey:John Wiley & Sons,2009.