Kinematic dynamics Modeling, Modal Experiment and Parameters Identification of Heavy Loaded Radial Tire considering coupled feature of tread, sidewall and rim
LIU Zhihao1,GAO Qinhe1,LIU Zhun1, WANG Xu1
1. Lab. of Armament Launch Theory & Technology, National Key Discipline,the Rocket Force Engineering University, Xi’an 710025, Shaanxi, China
Experimental modal analysis, dynamic modeling and structural parameter identification is put forward for researching in-plane vibration modal of heavy loaded radial tire with the larger flat ratio. Coupled characteristic of flexible tread, distributed sidewall element and rim is researched with experimental modal test, analysis and analytical resonant frequencies are analyzed considering coupled feature of flexible tread and distributed sidewall element. Tread is modeled as the Euler beam and the inertial force and sectional spring of tire sidewall is added when considering the relative movement of tread and rim. Modal expansion method is used for solving kinematic equations and analytic relationship between the resonant frequency and the structural parameters is derived. Structural parameters of the tire are identified by the genetic algorithm based on the experimental and analytical modal parameter of heavy-loaded tire and the higher order modal frequency is predicted with the analytic method.
Experimental and theoretical result shows that: (1) flexible tread vibrates in same direction with distributed sidewall within 180Hz, while vibrates in opposite direction with distributed sidewall within 180~300Hz; (2) modal analysis and kinetics modeling considering coupled feature of flexible tread, distributed sidewall element and rim can accurately characterize the in-plane vibration feature of heavy loaded tire within the frequency band of 300Hz, compared with the method which only considers flexible feature of tread limited to 180 Hz.
刘志浩1,高钦和1,刘准1,王旭1. 基于弹性基础柔性梁的重载轮胎面内胎体与胎侧耦合建模及参数辨识[J]. 振动与冲击, 2018, 37(6): 28-.
LIU Zhihao1,GAO Qinhe1,LIU Zhun1, WANG Xu1. Kinematic dynamics Modeling, Modal Experiment and Parameters Identification of Heavy Loaded Radial Tire considering coupled feature of tread, sidewall and rim. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(6): 28-.
[1] Alireza Pazooki, SubhashRakheja, DongpuCao. Modeling and validation of off-road vehicle ride dynamics [J]. Mechanical Systems and Signal Processing. 2012,28,79–695, doi:10.1016/j.ymssp.2011.11.00.
[2] 左曙光,冯朝阳,吴旭东,段向雷. 轮胎附着特性的胎体纵向振动建模与分析[J]. 振动与冲击,2015,34(10):50~55.
ZUO Shu-guang,FENG Zhao-yang,WU Xu-dong,DUAN Xiang-lei. Tread's longitudinal vibration modeling and analysis for attachment characteristics of tire [J]. Journal of Vibration and Shock, 2015,34(10):50~55.
[3] 赵愿玲,左曙光. 考虑驱动力影响的轮胎侧向自激振动分析[J]. 振动与冲击,2012,31(22):101~111.
ZHAO Yuan-ling,ZUO Shu-guang. Lateral self-excited vibration analysis for a type considering driving force [J]. Journal of Vibration and Shock, 2012,31(22):101~111.
[4] W.Reinalter, J.Rauh,A.Lutz. TMPT- conclusions and consequences for the industry from the industry [J]. Vehicle System Dynamics, 2007, 45(supplement): 217-225.
[5] Fan Chengjian a & Guan Dihua. The quantitative analysis and experimental verification of the tire static enveloping model using experimental modal parameters [J]. Vehicle System Dynamics, 2006,44(9): 675~688.
[6] 葛剑敏,王卫防,孙世铭,Rolf Gall. 轮胎模态试验及在轮胎结构设计中的应用研究[J]. 轮胎工业,2001,04:203-207.
Ge Jianmin, Wang Weifang, Sun Shiming, Rolf Gall. Tire modal test and its application to tire structure design[J]. Tire Industry,2001,04:203-207.
[7] 高海慧,陈 剑. 轮胎振动特性实验研究[J]. 噪声与振动控制,2011,01:175-178.
Gao Haihui, Chen Jian. Experimental Investigation of Tire Vibration Characteristic[J]. Noise and Vibration Control, 2011,01:175-178.
[8] 危银涛,冯希金,郑小刚,冯启章. 乘用车子午线轮胎泵浦噪声机理的实验-数值混合分析方法[J]. 振动与冲击,2015,34(11):165-172.
WEI Yin-tao,FENG Xi-jin,ZHENG Xiao-gang. A hybrid experimental-numerical analysis for radial tire air pumping noise generation mechanism [J]. Journal of Vibration and Shock, 2015,34(11):165-172.
[9] Zamri Mohamed, XuWang. A deterministic and statistical energy analysis of tyre cavity resonance noise [J]. Mechanical Systems and Signal Processing. 2016,70-71,947~957.
[10] Zamri Mohamed, XuWang. A study of tyre cavity resonance and noise reduction using inner trim [J]. Mechanical Systems and Signal Processing. 2015,50-51,498~509.
[11] SD Na, DW Park,WS Yoo. Rigid ring with Bouc-Wen tire model for vehicle dynamic analysis [J]. Proc IMechE Part C: J Mechanical Engineering Science,2016, 0(0) 1~11.
[12]危银涛,刘哲,周福强,赵崇雷.考虑面外振动的轮胎三维环模型[J].振动工程学报,2016,29(5):795-803.
Wei Yintao, Liu Zhe,Zhou Fuqiang,Zhao Chonglei. Three-dimensional REF model of tire including the out-of-plane vibration[J].Journal of Vibration Engineering, 2016,29(5):795-803.
[13] 左曙光,毛钰,吴旭东,段向雷. 基于柔性环轮胎模型的电动轮固有特性分析[J]. 振动与冲击,2016,35(3):41-47.
ZUO Shu-guang,MAO Yu,WU Xu-dong. Inherent characteristic analysis of the electrical wheel based on a flexible ring model[J]. Journal of Vibration and Shock, 2016,35(3):41-47.
[14] T. De Troyer et al. Fast calculation of confidence intervals on parameter estimates of least-squares frequency-domain estimators. Mechanical Systems and Signal Processing. 2009, 23,261–273.
[15] KRYLOV, V.V. and GILBERT, O. On the theory of standing waves in tyres at high vehicle speeds. Journal of Sound and Vibration. 2010,329 (21),pp. 4398-4408.
[16] TrongDaiVu, DenisDuhamel, ZouhirAbbadi, Hai-PingYin, Arnaud Gaudin . A nonlinear circular ring model with rotating effects for tire vibrations. Journal of Sound and Vibration.2017,388,245–271.
[17] M. Bagheri, A.A.Jafari, M.Sadeghifar. Multi-objective optimization of ring stiffened cylindrical shells using a genetic algorithm [J]. Journal of Sound and Vibration.2011 (330): 374~384.