Random Vibration Fatigue Analysis of Bogie Based on Pseudo Excitation Method and Master S-N Curve Method in Frequency Domain

doi:10.3901/JME.2022.12.140

Abstract

Abstract: The computational cost for solving vibration response power spectrum density(PSD) under random excitation is high and fatigue life of bogie frame weld predicted by the nominal stress method is discrete, in the stage of bogie design. To solve issues, a simplified finite element model of metro vehicle is established, and a large mass number is put into wheel-rail contact points of the model. Then the absolute displacement PSD of bogie is directly solved through exerting the displacement excitation of track irregularity on the big mass point in the form of force excitation, based on pseudo excitation method and big mass method. The random vibration fatigue life of bogie frame is predicted based on nominal stress method and the master S-N curve method in frequency domain respectively. The calculation process shows that vibration response PSD of bogie could be quickly and accurately solved by pseudo excitation method. The results show that fatigue life of the frame is greatly influenced by modes of bounce, transverse, and torsion. Meanwhile, the master S-N curve method in frequency domain not only can predict fatigue life of frame weld more accurately and consistently, but also effectively identify stress concentration of welds.

Key words: pseudo excitation method, bogie frame, random vibration fatigue, master S-N curve method in frequency domain

CLC Number:

U270

WANG Tengfei, ZHOU Jinsong, JI Yuanjin, WANG Qiushi. Random Vibration Fatigue Analysis of Bogie Based on Pseudo Excitation Method and Master S-N Curve Method in Frequency Domain[J]. Journal of Mechanical Engineering, 2022, 58(12): 140-150.

References

[1] International Union of Railways. UIC 615-4-2003. Motive power units-bogies and running gear-bogie frame structure strength tests[S]. Paris:UIC, 2003.
[2] 邹烨. 城际动车组转向架构架载荷谱研究[D]. 北京:北京交通大学, 2016. ZOU Hua. Load spectrum study on intercity EMU bogie frame[D]. Beijing:Beijing Jiaotong University, 2016.
[3] 李凡松. 服役环境下动车组车体振动与疲劳研究[D]. 成都:西南交通大学, 2017. LI Fansong. Research on vibration and fatigue of carbody for EMU under service environment[D]. Chengdu:Southwest Jiaotong University, 2017.
[4] 杨国伟, 魏宇杰, 赵桂林, 等. 高速列车的关键力学问题[J]. 力学进展, 2015, 45:217-460. YANG Guowei, WEI Yujie, ZHAO Guilin, et al. Research progress on the mechanics of high speed rails[J]. Advances in Mechnics, 2015, 45:217-460.
[5] HEULER P, KLAETSCHKE H. Generation and use of standardised load spectra and load-time histories[J]. International Journal of Fatigue, 2005, 27(8):974-990.
[6] British Standard Institute. BS 7608-2014. Guide to fatigue design and assessment of steel products[S]. London:BSI, 2014.
[7] RAO S S. Mechanical vibration[M]. 6th ed. US:Pearson Press, 2016.
[8] 林家浩, 张亚辉, 赵岩. 虚拟激励法在国内外工程界的应用回顾与展望[J]. 应用数学和力学, 2017, 38(1):1-32. LIN Jiahao, ZHANG Yahui, ZHAO Yan. The pseudo excitation and its industrial applications in china and abroad[J]. Applied Mathematics and Mechanics, 2017, 38(1):1-32.
[9] DONG P S, HONG J K, OSAGE D A, et al. The master S-N curve method an implementation for fatigue evaluation of welded components in the ASME B&PV CODE section viii, division 2 and API579-1/ASME FFS-1[M]. New York:WRC Bulletin, 2010.
[10] 方吉, 李季涛, 王悦东, 等. 基于随机振动理论的焊接结构疲劳寿命概率预测方法研究[J]. 工程力学, 2016, 33(3):24-30. FANG Ji, LI Jitao, WANG Yuedong, et al. Research on fatigue life probability prediction method of welded structure based on random vibration theory[J]. Engineering Mechanics, 2016, 33(3):24-30.
[11] 王福天. 车辆系统动力学[M]. 北京:中国铁道出版社, 1994. WANG Futian. Vehicle system dynamics[M]. Beijing:China Railway Publishing House, 1994.
[12] CLOUGH R W. Dynamics of structure[M]. 3rd ed. Berkeley, CA:Computers & Structure, Incorporated, 2004.
[13] 周国良, 李小军, 喻畑, 等. 结构地震作用的基底激励模型及其适用性[J]. 建筑结构学报, 2010, 31(增刊2):82-88. ZHOU Guoliang, LI Xiaojun, YU Xi, et al. Applicability research on base excitation models used in structure response analysis[J]. Journal of Building Structures, 2010, 31(Suppl. 2):82-88.
[14] 贾宏宇, 郑史雄. 直接求解多维多点地震动方程的虚拟激励法[J]. 工程力学, 2013, 30(3):341-346. JIA Hongyu, ZHENG Shixiong. Pseudo excitation method of direct solving ground motion equation of mulit-dimensional and mulit-support excitation[J]. Engineering Mechanics, 2013, 30(3):341-346.
[15] 修瑞仙. 高速列车车体结构振动疲劳研究[D]. 成都:西南交通大学, 2013. XIU Ruixian. Fatigue life analysis of random vibration for high-speed vehicle car-body[D]. Chengdu:Southwest Jiaotong University, 2013.
[16] KARIS T, BERG M, STICHEL S, et al. Correlation of track irregularities and vehicle responses based on measured data[J]. Vehicle System Dynamics, 2018, 56(6):967-981.
[17] 任尊松, 刘志明. 高速动车组振动传递及频率分布规律[J]. 机械工程学报, 2013, 49(16):1-7. REN Zunsong, LIU Zhiming. Vibration and frequency domain characteristics of high speed EMU[J]. Journal of Mechanical Engineering. 2013, 49(16):1-7.
[18] 贺小龙, 张立民, 鲁连涛, 等. 高速列车车体模态贡献量对振动的影响分析[J]. 铁道学报, 2017, 39(12):16-22. HE Xiaolong, ZHANG Limin, LU Liantao, et al. Analysis of impact of modal contribution factors of high-speed train body on vibration[J]. Journal of the China Railway Society, 2017, 39(12):16-22.
[19] YOUNESIAN D, SOLHMIRZAEI A, GACHLOO A. Fatigue life estimation of MD36 and MD523 bogies based on damage accumulation and random fatigue theory[J]. Journal of Mechanical Science and Technology, 2009, 23(8):2149-2156.
[20] BENASCIUTTI D, TOVO R. On fatigue damage computation in random loadings with threshold level and mean value influence[J]. Structural Durability and Health Monitoring, 2006, 2(3):149-164.
[21] 中华人民共和国建设部. GB 50157-2013. 地铁设计规范[S]. 北京:中国标准出版社, 2013. Ministry of Construction of the People's Republic of China. GB 50157-2013. Code for design of Metro[S]. Beijing:China Standards Press, 2013.
[22] The American Society of Mechanical Engineers. VIII DIV 2-2007, ASME boiler and pressure vessel code[S]. New York:ASME, 2007.
[23] 张醒. 随机载荷作用下的高速列车车体振动疲劳分析方法研究[D]. 成都:西南交通大学, 2018. ZHANG Xing. Research on vibration fatigue analysis method of high-speed train carbody under random loads[D]. Chengdu:Southwest Jiaotong University, 2018.
[24] 李国栋, 王建斌, 曾京. 转向架构架模态频率与疲劳损伤参数敏感性研究[J]. 机械工程学报, 2018, 54(4):264-269. LI Guodong, WANG Jianbin, ZENG Jing. Parametric sensitivity study on modal frequency respect to fatigue damage of bogie frame[J]. Journal of Mechanical Engineering, 2018, 54(4):264-269.