|Table of Contents|

Dynamics modelling of positioning rubber joint of a bogie based on physical parameters(PDF)

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2019年06期
Page:
91-100
Research Field:
载运工具运用工程
Publishing date:

Info

Title:
Dynamics modelling of positioning rubber joint of a bogie based on physical parameters
Author(s):
LIU Shi-hui1 SHI Huai-long2 WANG Wei2 LIU Hong-tao1 TAN Fu-xing1
(1. CRRC Changchun Railway Vehicles Co., Ltd., Changchun 130062, Jilin, China; 2. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China)
Keywords:
vehicle engineering vehicle dynamics bogie rubber component dynamic characteristic nonlinear dynamics simulation
PACS:
U270.3
DOI:
10.19818/j.cnki.1671-1637.2019.06.009
Abstract:
Aiming at the elastic rubber components in the suspension system of a high-speed train bogie, the nonlinear dynamics modelling method for the rubber component was studied based on the physical parameters. In order to accurately simulate the correlations between the nonlinear stiffness and the damping hardness, structural dimensions, excitation frequency and excitation displacement amplitude, the Mooney-Rivlin rubber constitutive model in the software ABAQUS was used to characterize the correlation between the rubber component's stiffness and the structural dimensions and rubber hardness. A dynamics model, including a fractional derivative damping force element, a friction force element, and a spring force element, was used to characterize the frequency-dependency and amplitude-dependency of stiffness and damping of a rubber component. The least squares method was used to identify the model parameters based on the lab tests. The nonlinear characteristics of rubber bearing and positioning rubber joint were numerically simulated and tested in the lab to validate the proposed model. The vehicle dynamics performance analysis was performed by using an user-coded force element defined in the software SIMPACK, and the finite element model was used to provide the basic model parameters for the dynamics model. Analysis result shows that the stiffnesses of rubber bearing and positioning rubber joint are basically proportional to the Shore hardness of rubber material, and the stiffness corresponding to the hardness of 80 HA is about twice that at 60 HA. The less the rubber material in the direction of load action, the greater the stiffness in the corresponding direction. The axial and radial stiffnesses of rubber bearing are decoupled, which is affected by the height and the size of inner and outer diameters, respectively, and the decrease rate of the axial stiffness of rubber bearing with the increase of height is 0.2-0.6 MN·m-1·mm-1. Both the axial and radial stiffness of positioning rubber joint varies with the change of mandrel size, and the increase rate of radial stiffness with the increase of inner diameter is 3.1-5.2 MN·m-1·mm-1. The vehicle dynamics simulation results by using the nonlinear rubber component dynamics model are 20% different from the results by using a conventional equivalent force element model, which means the nonlinearities of dynamics parameters of the rubber bearing and positioning rubber joint have severe influence on the vehicle dynamics. 2 tabs, 17 figs, 30 refs.

References:

[1] SJÖBERG M, KARI L. Non-linear behavior of a rubber
isolator system using fractional derivatives[J]. Vehicle System Dynamics, 2002, 37(3): 217-236.
[2] BERG M. A non-linear rubber spring model for rail vehicle dynamics analysis[J]. Vehicle System Dynamics, 1998, 30(3/4): 197-212.
[3] 吴 杰,上官文斌.采用黏弹性分数导数模型的橡胶隔振器动态特性的建模及应用[J].工程力学,2008,25(1):161-166.
WU Jie, SHANGGUAN Wen-bin. Modeling and applications of dynamic characteristics for rubber isolators using viscoelastic fractional derivative model[J]. Engineering Mechanics, 2008, 25(1): 161-166.(in Chinese)
[4] 吴 杰,上官文斌,潘孝勇.采用超弹性-黏弹性-弹塑性本构模型的橡胶隔振器动态特性计算方法[J].机械工程学报,2010,46(14):109-114.
WU Jie, SHANGGUAN Wen-bin, PAN Xiao-yong. Computational method for dynamic properties of rubber isolators using hyperelastic-viscoelastic-plastoelastic constitutive model[J]. Journal of Mechanical Engineering, 2010, 46(14): 109-114.(in Chinese)
[5] SINGH M P,CHANG T S. Seismic analysis of structures with viscoelastic dampers[J]. Journal of Engineering Mechanics, 2009, 135(6): 571-580.
[6] YAJIMA T, NAGAHAMA H. Differential geometry of
viscoelastic models with fractional-order derivatives[J]. Journal of Physics A: Mathematical and Theoretical, 2010, 43(38): 1-9.
[7] MIEHE C, KECK J. Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers, experiments, modeling and algorithmic implementation[J]. Journal of the Mechanics and Physics of Solids, 2000, 48(2): 323-365.
[8] CHANG T S, SINGH M P. Mechanical model parameters for viscoelastic dampers[J]. Journal of Engineering Mechanics, 2009, 135(6): 581-584.
[9] 柯 维,郑建华.基于橡胶硬度的隔振器性能判定[J].船海工程,2008,37(4):142-144.
KE Wei, ZHENG Jian-hua. Judge mount's performance of vibration isolation based on the rubber's stiffness[J]. Ship and Ocean Engineering, 2008, 37(4): 142-144.(in Chinese)
[10] 王 锐,李世其,宋少云.隔振橡胶本构建模研究[J].振动与冲击,2007,26(1):77-79,83.
WANG Rui, LI Shi-qi, SONG Shao-yun. Study on constitutive modelling of vibration isolation rubber[J]. Journal of Vibration and Shock, 2007, 26(1): 77-79, 83.(in Chinese)
[11] 赵 广,刘 健,刘占生.橡胶隔振器非线性动力学模型理论与实验研究[J].振动与冲击,2010,29(1):173-177.
ZHAO Guang, LIU Jian, LIU Zhan-sheng. Theoretical and experimental study on nonlinear dynamic model of a rubber isolator[J]. Journal of Vibration and Shock, 2010, 29(1): 173-177.(in Chinese)
[12] 陈 莲,周海亭.计算橡胶隔振器静态特性的数值分析方法[J].振动与冲击,2005,24(3):120-123.
CHEN Lian, ZHOU Hai-ting. Numerical methods for analyzing static characteristics of rubber isolator[J]. Journal of Vibration and Shock, 2005, 24(3): 120-123.(in Chinese)
[13] 王晓侠,刘德立,周海亭.橡胶隔振器参数计算与分析[J].噪声与振动控制,2008,28(4):9-12.
WANG Xiao-xia, LIU De-li, ZHOU Hai-ting. Calculation and analysis of the parameter of rubber isolator[J]. Noise and Vibration Control, 2008, 28(4): 9-12.(in Chinese)
[14] 姚利锋,周海亭,陶 杰.有限元在大载荷橡胶隔振器设计中的应用研究[J].噪声与振动控制,2006,26(6):16-18.
YAO Li-feng, ZHOU Hai-ting, TAO Jie. Application of finite element in design of large load rubber isolator[J]. Noise and Vibration Control, 2006, 26(6): 16-18.(in Chinese)
[15] 韩德宝,宋希庚.橡胶隔振器刚度和阻尼本构关系的试验研究[J].振动与冲击,2009,28(1):156-160.
HAN De-bao, SONG Xi-geng. Experimental study on constitutive model for damping and stiffness of a rubber isolator[J]. Journal of Vibration and Shock, 2009, 28(1): 156-160.(in Chinese)
[16] 刘文玺,周其斗.基于非线性有限元法的橡胶隔振器构型优化[J].船舶力学,2014,18(4):434-440.
LIU Wen-xi, ZHOU Qi-dou. Study on configuration optimization of rubber isolator by nonlinear FEM[J]. Journal of Ship Mechanics, 2014, 18(4): 434-440.(in Chinese)
[17] GIL-NEGRETE N, VINOLAS J, KARI L. A non-linear rubber material model combining fractional order viscoelasticity and amplitude dependent effects[J]. Journal of Applied Mechanics, 2009, 76(1): 1-30.
[18] BERG M. A model for rubber springs in the dynamic analysis of rail vehicles[J]. Journal of Rail and Rapid Transit, 1997, 211(2): 95-108.
[19] 潘孝勇,上官文斌,柴国钟,等.基于超弹性、分数导数和摩擦模型的碳黑填充橡胶隔振器动态建模[J].振动与冲击,2007,26(10):6-10,15.
PAN Xiao-yong, SHANGGUAN Wen-bin, CHAI Guo-zhong, et al. Dynamic modeling for carbon-filled rubber isolators based on hyperelasticity, fractional derivative and a generalized frictional model[J]. Journal of Vibration and Shock, 2007, 26(10): 6-10, 15.(in Chinese)
[20] 唐振寰,罗贵火,陈 伟,等.橡胶隔振器黏弹性5参数分数导数并联动力学模型[J].航空动力学报,2013,28(2):275-282.
TANG Zhen-huan, LUO Gui-huo, CHEN Wei, et al. Parallel dynamic model of rubber isolator about five-parameter fractional derivative[J]. Journal of Aerospace Power, 2013, 28(2): 275-282.(in Chinese)
[21] SHI Huai-long, WU Ping-bo. A nonlinear rubber spring
model containing fractional derivatives for use in railroad vehicle dynamic analysis[J]. Journal of Rail and Rapid Transit, 2016, 230(7): 1745-1759.
[22] 谭富星,石怀龙,王 玮,等.转向架橡胶件动态参数的高低温特性[J].交通运输工程学报,2019,19(4):104-114.
TAN Fu-xing, SHI Huai-long, WANG Wei, et al. High and low temperature characteristics of rubber component dynamic parameters of a bogie[J]. Journal of Traffic and Transportation Engineering, 2019, 19(4): 104-114.(in Chinese)
[23] 刘迪辉,范 迪,欧阳雁峰,等.温度对橡胶隔振器力学性能的影响[J].噪声与振动控制,2014,34(3):203-206,210.
LIU Di-hui, FAN Di, OUYANG Yan-feng, et al. Temperature effect on mechanical properties of rubber isolators[J]. Noise and Vibration Control, 2014, 34(3): 203-206, 210.(in Chinese)
[24] 宋春元,罗 仁.低温条件悬挂参数变化对动力学性能的影响研究[C]∥中国智能交通协会.第八届中国智能交通年会论文.合肥:电子工业出版社,2013:309-314.
SONG Chun-yuan, LUO Ren. Study on the effects of parameters on the dynamic performance of the low temperature suspension[C]∥ITS China. Proceedings of 8th Chinese Technological Transportation. Hefei: Publishing House of Electronics Industry, 2013: 309-314.(in Chinese)
[25] 孙 琳,林化强,林 鹏,等.北方高寒地区轨道车辆橡胶材料的力学特性分析[J].材料开发与应用,2016,31(6):88-92.
SUN Lin, LIN Hua-qiang, LIN Peng, et al. Mechanical properties analysis of rubber materials for rail vehicles in the North China[J]. Development and Application of Materials, 2016, 31(6): 88-92.(in Chinese)
[26] 孙德伟,张广玉.橡胶隔振器迟滞阻尼特性识别的新方法[J].振动与冲击,2010,29(4):164-168.
SUN De-wei, ZHANG Guang-yu. A new approach to identify hysteretic damping of a rubber isolator[J]. Journal of Vibration and Shock, 2010, 29(4): 164-168.(in Chinese)
[27] 孙 伟,李以农,刘万里,等.橡胶隔振器非线性动态特性建模及实验研究[J].振动与冲击,2012,31(23):71-76.
SUN Wei, LI Yi-nong, LIU Wan-li, et al. Dynamic modeling and test for a nonlinear rubber damper[J]. Journal of Vibration and Shock, 2012, 31(23): 71-76.(in Chinese)
[28] LUO Ren, SHI Huai-long, GUO Jin-ying, et al. A nonlinear rubber spring model for the dynamics simulation of a high-speed train[J]. Vehicle System Dynamics, 2019: 1-18.
[29] HORGAN C O, MURPHY J G. Compression tests and
constitutive models for the slight compressibility of elastic rubber-like materials[J]. International Journal of Engineering Science, 2009, 47(11/12): 1232-1239.
[30] 滕万秀,罗 仁,石怀龙,等.高寒动车组-40 ℃环境下动力学性能[J].机械工程学报,2019,55(4):148-153.
TENG Wan-xiu, LUO Ren, SHI Huai-long, et al. Dynamics behaviour of high-speed train at the low temperature of -40 ℃[J]. Journal of Mechanical Engineering, 2019, 55(4): 148-153.(in Chinese)

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Last Update: 2020-01-13