基于Monte-Carlo拟合的二维随机载荷作用下汽车弹簧疲劳耐久性研究

doi:10.19562/j.chinasae.qcgc.2019.012.015

Abstract

Abstract: A fatigue life calculation method by numerical integration on the probability density function of equivalent load of 2D random load is proposed. The load spectra data of a city SUV on the reinforced pavement in proving ground are collected, and the sample interception method is adopted to conduct parameter estimation and distribution check. The results show that the method can achieve a good fitting of acquired load spectra data in middle and high load section. Meanwhile Monte-Carlo method is applied to generate random series for fitting the probability density function of equivalent load of 2D random load. Finally load spectra grading method and Monte-Carlo probability density function fitting method are used to extrapolate the acquired 2D random loads of four coil springs in suspension, and to calculate their accumulated damage and fatigue life. The results of comparative analysis show that the fatigue life calculation method adopted is feasible, which can well resolve the problem of inability in deriving the probability density function of 2D random load with rather complicated distribution.

Key words: automotive coil spring, fatigue, 2D random load, Monte-Carlo method

Teng Ruipin, Song Xiaolin, Liu Guoyun, Zeng Junwei. Research on Fatigue Durability of Automotive Coil Spring Under 2D Random Loading Based on Monte-Carlo Fitting[J].Automotive Engineering, 2019, 41(12): 1450-1458.

References

[1] 陈欣,项昌乐,郑慕侨.车辆传动系多工况随机载荷谱的统计处理方法[J].汽车工程,1999,21(4):232-237.
[2] 高云凯,徐成民,方剑光.车身台架疲劳试验程序载荷谱研究[J].机械工程学报,2014(2):92-98.
[3] 高孝旺.随机载荷呈威布尔分布的齿轮弯曲疲劳强度的研究[D].重庆:重庆理工大学,2009.
[4] 胡建军,许洪斌,祖世华,等.服从正态分布随机载荷作用下齿轮弯曲疲劳试验研究[J].中国机械工程,2013(12):14-18.
[5] 武滢,谢里阳.随机载荷作用下疲劳寿命分布预测模型[J].工程设计学报,2010,17(6)435-438.
[6] 金星,钟群鹏,洪延姬,等.随机疲劳裂纹扩展新模型[J].力学学报,2000,32(3):300-307.
[7] 邹小理.随机荷载下疲劳裂纹扩展寿命的统计模型[J].工程力学,2005,22(S1):31-34.
[8] 郭虎,陈文华,樊晓燕.汽车试验场可靠性试验强化系数的研究[J].机械工程学报,2004,40(10):73-77.
[9] 贺小帆,董彦明,闫友为,等.独立多细节结构疲劳寿命分布的数值模拟与分析[J].工程力学,2010,27(8):217-222.
[10] 朱颖,田玉基.基于区间理论的不确定结构随机疲劳损伤估计方法[J].工程力学,2017,34(8):6-14.
[11] 黄学伟,蔡力勋,包陈,等.基于低周疲劳损伤的裂纹扩展行为数值模拟新方法[J].工程力学,2011,28(10):202-208.
[12] 田秀云,杜洪增,孙智强.金属材料疲劳裂纹扩展曲线的拟合方法研究[J].工程力学,2003,20(4):136-140.
[13] 徐灏.概率疲劳[M].沈阳:东北大学出版社,1993.
[14] 盛骤,谢式千,潘承毅.概率论与数理统计[M].北京:高等教育出版社,2008.
[15] SCHIJVE J. Fatigue of structures and materials[M]. Boston: Kluwer Academic Publishers,2001.
[16] 姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.
[17] SURESH S. Fatigue of materials[M]. 2nd ed. Cambridge University Press,1998.
[18] 藤瑞品,宋晓琳.二维随机载荷作用下疲劳寿命的研究[J].中国机械工程,2017,28(24):3017-3023.
[19] 雷桂媛.关于蒙特卡罗及拟蒙特卡罗方法的若干研究[D].杭州:浙江大学,2003.
[20] 朱辉,刘义保,游运.蒙特卡罗方法与拟蒙特卡罗方法的历史、现状及展望[J].东华理工大学学报:自然科学版,2010,33(4):357-362.
[21] NIEDERREITERAND H, SHIUE P J. Monte Carlo and quesi-Monte Carlo methods in scientific computing[M]. Springer-Verlag, New York,1995.
[22] NIEDERREITER G L, HELLEKALEK P, ZINTERHOF P. Monte Carlo and quesi-Monte Carlo methods 1996[M]. Springer-Verlag, New York,1998.
[23] 许淑艳.蒙特卡罗方法在实验核物理中的应用[M].北京:原子能出版社,1995.
[24] RYCHLIK I. A new definition of the rainflow cycle counting method[J]. International Journal of Fatigue,1987,9:119-121.
[25] ANTHES R J. Modified rainflow counting keeping the load sequence[J]. International Journal of Fatigue,1997,19(7):529-535.
[26] DOWNING S D, SOCIE D F. Simple rainflow counting algorithms[J]. International Journal of Fatigue,1982,4:31-40.
[27] GLINKA G, KAM J C P. Rainflow counting algorithm for very long stress histories[J]. International Journal of Fatigue,1987,9:223-228.
[28] HONG N. A modified rainflow counting method[J]. International Journal of Fatigue,1991,13:465-469.
[29] 蒋仁言.威布尔模型族特性、参数估计和应用[M].北京:科学出版社,1998.
[30] 李鹏.汽车试验场道路强化系数的研究[D].长春:吉林大学,2008.
[31] 罗南星.测量误差及数据处理[M].北京:计量出版社,1984.
[32] 郭应时,袁伟.汽车试验学[M].北京:人民交通出版社,2006.
[33] 仇维礼.数据处理和误差分析[M].北京:知识出版社,1986.
[34] 鲍晓峰.汽车试验与检测[M].北京:机械工业出版社,1995.
[35] 覃官华,蒋仁言,袁晓娜.蓄电池的可靠性建模与分析[J].公路与汽运,2008,7.
[36] 郑修麟,王泓,鄢君辉,等.材料疲劳理论与工程应用[M].北京:科学出版社,2013.
[37] 郑修麟.金属疲劳的定量理论[M].西安:西北工业大学出版社,1994.
[38] 郑修麟,凌超,吕宝桐,等.低碳低合金钢及焊接件的寿命估算[J].机械强度,1993,15(3):70-75.
[39] 李永利.疲劳试验测试分析理论与实践[M].张然治,译.北京:国防工业出版社,2011.
[40] BANNANTINE J A, COMER J J, HANDROCK J L. Fundamentals of metal fatigue analysis[M]. PrenticeHall,New York,1990.
[41] DOWLING N E. Mechanical behavior of meterials: engineering methods for deformation, fracture, and fatigue[M]. 2nd ed. Prentice Hall,New York,1998.
[42] JUVINALL R C. Engineering consideration of stress, strain, and strength[M]. McGraw-Hill, New York,1967.
[43] STEPHENS R I, FATEMI A, STEPHENS R R, et al. Metal fatigue in engineering[M]. 2nd ed. Wiley,New York,2001.
[44] 赵少汴.抗疲劳设计手册[M].北京:机械工业出版社,2015.
[45] 李庆扬,王能超,易大义.数值分析[M].北京:清华大学出版社,2008.

[1]	WANG Dan, LIU Zhong-Chang, TIAN Jing, HAN Yong-Qiang, TAN Man-Zhi. [J]. , 2016, 38(12): 1415 -1419 .
[2]	KONG Xiang-Dong, ZHANG Zhen-Dong, XIE Nai-Liu, CHENG Qiang, YIN Cong-Bo. [J]. , 2016, 38(12): 1471 -1476 .
[3]	LI Ling, MA Li, MOU Yu, XU Chao, LI Wen-Ru, SHI Shu-Ming. [J]. , 2016, 38(12): 1508 -1514 .
[4]	GAO Ji-Dong, GAO Bo-Lin, XIE Shu-Gang. [J]. , 2016, 38(12): 1515 -1520 .
[5]	QIN Xiao-Hui, WANG Jian-Qiang, XIE Bo-Yuan, HU Man-Jiang, LI Ke-Qiang. [J]. , 2017, 39(1): 73 -78 .
[6]	SU Chang, FU Li-Ming, WEI Jun, CAO Yue, HUANG Lei, LI Shuo. [J]. , 2017, 39(1): 35 -40 .
[7]	ZHANG Jian, ZHOU Dao-Kui, TONG Rui, QI Hao-Chen. [J]. , 2017, 39(1): 47 -51 .
[8]	ZHENG Wei. [J]. , 2017, 39(1): 107 -112 .
[9]	SHAO Shi-Ping, HUANG Ju-Hua, CAO Ming. [J]. , 2017, 39(2): 200 -205 .
[10]	Chen-Xin, FENG Xiao, SHEN Chuan-Liang, WANG Shuo, HU Cui-Song, LI Yan-Yang, YANG Chang-Hai-　. [J]. , 2017, 39(2): 206 -213 .

Research on Fatigue Durability of Automotive Coil Spring Under 2D Random Loading Based on Monte-Carlo Fitting

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 9

Metrics

Comments

Recommended 10

[1]	Weihe Zeng, Ligang Gou, Yu Luo, Jun Zhang, Huihong Liao. Fatigue Simulation and Experimental Study of Super-size Integral Die Casting Aluminum Alloy Rear End Body [J]. Automotive Engineering, 2023, 45(7): 1263-1275.
[2]	Yunkai Gao,Suo Zhang,Ze Yuan. Cab Topology Optimization Design Considering Fatigue Performance [J]. Automotive Engineering, 2023, 45(3): 468-476.
[3]	Tie Wang,Cheng Tian,Xudong Li,Hongwei Zhao. Research on Wheel Biaxial Fatigue Accelerated Test Method [J]. Automotive Engineering, 2022, 44(9): 1410-1415.
[4]	Jinzhi Feng,Chenglin Yuan,Jiawei Yu,Xinrong Liu,Lihui Zhao. Failure Load Analysis and Thickness Matching Optimization of Weld Seam on Front Axle of a Light Truck [J]. Automotive Engineering, 2022, 44(7): 1107-1116.
[5]	Dongmei Shi,Feng Xiao. Study on Driving Behavior Detection Method Based on Improved Long and Short⁃term Memory Network [J]. Automotive Engineering, 2021, 43(8): 1203-1209.
[6]	Wenzheng Cheng,Xiaoqiao Yu,Xia Xiao,Yuanming Dong,Jie Hou. The Fatigue Test of Rear Sub⁃frame Based on Stress Tensor Analysis [J]. Automotive Engineering, 2021, 43(10): 1555-1564.
[7]	Wang Dengfeng, Xu Wenchao. Robust Optimization for Hybrid (Bolted/Bonded) Connection ofMagnesium-Aluminum Alloy Assembled Wheel [J]. Automotive Engineering, 2020, 42(4): 545-551.
[8]	Dong Guojiang, Du Fei, Wang Wei, Lang Yuling. Fatigue Analysis of Automobile Steering Knuckle Considering the Effect of Low Load Strengthening [J]. Automotive Engineering, 2020, 42(3): 406-415.
[9]	Wang Qingxia, Wang Guangyao, Zhao Yibing, Fan Peigeng, Zhao Yan. Study on the Effects of Pre-compression on Fatigue Performance of Automotive DP590 Steel Plate [J]. Automotive Engineering, 2019, 41(12): 1430-1434.