Volume 19 Issue 5
. 
Turn off MathJax
Article Contents
Article Navigation >  Journal of Traffic and Transportation Engineering  > 2019  >  19(5): 74-83
Next Previous
ZHANG Zi-fan, LI Qiang, DING Ran, LIAN Qing-lin. Frequency domain calibration and establishment method for load spectrum of bogie frame[J]. Journal of Traffic and Transportation Engineering, 2019, 19(5): 74-83. doi: 10.19818/j.cnki.1671-1637.2019.05.008
Citation: ZHANG Zi-fan, LI Qiang, DING Ran, LIAN Qing-lin. Frequency domain calibration and establishment method for load spectrum of bogie frame[J]. Journal of Traffic and Transportation Engineering, 2019, 19(5): 74-83. doi: 10.19818/j.cnki.1671-1637.2019.05.008
shu

Frequency domain calibration and establishment method for load spectrum of bogie frame

doi: 10.19818/j.cnki.1671-1637.2019.05.008

  • School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

More Information
    Abstract
  • The quasi-static load-stress transfer relationship in time-domain was analyzed. The parameters of cross-spectral density between loads were taken as the characterization of load coupling effect. Based on the basic theory of multi-axis frequency-domain fatigue, the expression of equivalent stress in frequency-domain was derived. The expressions of discrete load system equivalent to the multi-axis load were obtained. In order to ensure that the damage calculated by load spectrum can cover the measured damage of test line, the 0-order spectral moment of the self-power spectral density of stress signal was taken as the parameter to characterize the damage, and the contribution ratio of load to the damage at the measured point was restrained. According to the principle of damage consistency, load calibration was carried out by using the NSGA-Ⅱ multi-objective optimization algorithm. The line test on a domestic metro bogie frame was carried out, the load and stress data were obtained, and the data processing and analysis were carried out. Analysis result shows that in the load system, the measured variance of the transverse load of frame is the largest, which is 5.08, and the variance of the transverse load of motor is the smallest, which is 0.02. The damage calibration accuracy considering load coupling effect in frequency domain is 1.08×10-5, while the damage calibration accuracy using the time-domain discrete spectrum is 2.91×10-3. The calibration accuracy of frequency-domain method is 99.63% higher than that of time-domain method. The comprehensive adjustment multiple of load calibration coefficient considering the coupling effect in frequency domain is 31.81, which is 41.71% lower than that using the discrete spectrum in time domain. The maximum coefficient adjustment multiple of frequency-domain method is 6.99, and the multiple of time-domain method is 15.68, the former is 55.42% lower than the latter. So the calibration method considering the load coupling effect in frequency domain is superior to the calibration method using the discrete spectrum in time domain in terms of error accuracy. The dispersion of coefficient adjustment ratio of frequency-domain method is lower than that of time-domain method. The calibration load is closer to the measured load, and the reliability of calibration results is high. Because the correlation between loads is taken into account in the calibration process, the load system can be applied to multi-axis loading of test bed and independent loading of simulation. The unification of the two loading modes is realized, which provides a new idea for the establishment of frame load spectrum.

     

    • FullText(HTML)
  • loading
    • References(32)
  • [1]
    ZHANG Li. Load test and study on bogie frame of Beijing Subway Line 2[D]. Beijing: Beijing Jiaotong University, 2017. (in Chinese).
    [2]
    LI Fan-song, WU Ping-bo, ZENG Jing, et al. Study on the differences between the three common fatigue strength analysis methods for bogie frame[J]. Journal of Mechanical Engineering, 2014, 50(14): 170-176. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201414028.htm
    [3]
    ZHU Ning. Theoretical research of damage consistency load spectra on bogie frame structures of high-speed trains[D]. Beijing: Beijing Jiaotong University, 2016. (in Chinese).
    [4]
    WANG Wen-jing, WANG Yan, SUN Shou-guang, et al. Long-term load spectrum test of high-speed train bogie[J]. Journal of Southwest Jiaotong University, 2015, 50(1): 84-89. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201501014.htm
    [5]
    TANG Qi. Research on reliability improvement of 209P bogie welded frame of passenger car with 120 kilometers per hour[D]. Beijing: Beijing Jiaotong University, 2016. (in Chinese).
    [6]
    ZOU Hua, LI Qiang, SUN Shou-guang. Study on intercity train load spectrum distribution estimation and calibration methods based on load demarcation[J]. Journal of the China Railway Society, 2016, 38(10): 27-33. (in Chinese). doi: 10.3969/j.issn.1001-8360.2016.10.004
    [7]
    ZOU Hua. The study on intercity EMU bogie frame load spectrum[D]. Beijing: Beijing Jiaotong University, 2016. (in Chinese).
    [8]
    LU Yao-hui, XIANG Peng-lin, ZENG Jing, et al. Dynamic stress calculation and fatigue whole life prediction of bogie frame for high-speed train[J]. Journal of Traffic and Transportation Engineering, 2017, 17(1): 62-70. (in Chinese). http://transport.gfscw.cn/article/id/201701008
    [9]
    GAO Xi-feng, LIAO Hong-yun, XU Wan-hai. Analysis of VIV-induced fatigue characteristic of spanning pipelines with asymmetric boundary[J]. Journal of Harbin Engineering University, 2019, 40(5): 960-966. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-HEBG201905015.htm
    [10]
    TIAN Xin-wei, ZHOU Shuai, HU Liang, et al. Vibration fatigue characteristic of high-pressure fuel pipe based on fluid-solid coupling model[J]. Journal of Vibration, Measurement and Diagnosis, 2018, 38(6): 1234-1239. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-ZDCS201806026.htm
    [11]
    JIANG Pei, WEN Xi-sen, CHEN Xun, et al. Spectral fatigue life estimate under non-Gaussian random stress[J]. Chinese Journal of Mechanical Engineering, 2006, 42(2): 51-56. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-JXXB200602010.htm
    [12]
    FANG Ji, LI Ji-tao, WANG Yue-dong, 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. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201603005.htm
    [13]
    HERVE R, MOHAMED B, TONY D S, et al. Comparison of spectral methods for fatigue analysis in non-Gaussian random processes application to elastic-plastic behavior[J]. Procedia Engineering, 2015, 101: 430-439. doi: 10.1016/j.proeng.2015.02.052
    [14]
    BENASCIUTTI D, TOVO R. Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes[J]. Probabilistic Engineering Mechanics, 2006, 21(4): 287-299.
    [15]
    JIANG Pei. Fatigue enhancement mechanism of the omni-axes random vibration environment[D]. Changsha: National University of Defense Technology, 2003. (in Chinese).
    [16]
    WIRSCHING P H, LIGHT M C. Fatigue under wide band random stress[J]. Journal of Engineering Materials and Technology, 1977, 99(3): 1593-1607.
    [17]
    TUNNA J M. Fatigue life prediction for Gaussian random loads at the design stage[J]. Fatigue and Fracture of Engineering Materials and Structures, 1986, 9(3): 169-184.
    [18]
    DIRLIK T. Application of computers in fatigue analysis[D]. Coventry: University of Warwick, 1985.
    [19]
    ZHAO Wang-wen, BAKER M J. On the probability density function of rainflow stress range for stationary Gaussian processes[J]. International Journal of Fatigue, 1992, 14(2): 121-135.
    [20]
    TOVO R. Cycle distribution and fatigue damage under broad-band random loading[J]. International Journal of Fatigue, 2002, 24(11): 1137-1147.
    [21]
    BENASCIUTTI D, TOVO R. Spectral methods for lifetime prediction under wide-band stationary random processes[J]. International Journal of Fatigue, 2005, 27(8): 867-877.
    [22]
    CRISTOFORI A, BENASCIUTTI D, TOVO R. A stress invariant based spectral method to estimate fatigue life under multiaxial random loading[J]. International Journal of Fatigue, 2011, 33(7): 887-899.
    [23]
    BENASCIUTTI D, CRISTOFORI A, TOVO R. Analogies between spectral methods and multiaxial criteria in fatigue damage evaluation[J]. Probabilistic Engineering Mechanics, 2013, 31(31): 39-45.
    [24]
    PITOISET X, PREUMONT A. Spectral methods for multiaxial random fatigue analysis of metallic structures[J]. International Journal of Fatigue, 2000, 22(7): 541-550.
    [25]
    PITOISET X, RYCHLIK I, PREUMONT A. Spectral methods to estimate local multiaxial fatigue failure for structures undergoing random vibrations[J]. Fatigue and Fracture of Engineering Materials and Structures, 2010, 24(11): 715-727.
    [26]
    LAMBERT S, PAGNACCO E, KHALIJ L. A probabilistic model for the fatigue reliability of structures under random loadings with phase shift effects[J]. International Journal of Fatigue, 2010, 32(2): 463-474.
    [27]
    CARPINTERI A, SPAGNOLI A, VANTADORI S. Reformulation in the frequency domain of a critical plane-based multiaxial fatigue criterion[J]. International Journal of Fatigue, 2014, 67: 55-61.
    [28]
    BENASCIUTTI D, SHERRATT F, CRISTOFORI A. Recent developments in frequency domain multi-axial fatigue analysis[J]. International Journal of Fatigue, 2016, 91: 397-413.
    [29]
    XIANG Qing-yi, LYU Peng-min, WANG Bin-hua, et al. Load equivalent method for fatigue bench test of hydraulic excavator stick[J]. China Journal of Highway and Transport, 2018, 31(6): 317-326. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201806020.htm
    [30]
    LI Yu-jing, LI Hong-nan, LI Chao. Preference-based multi-objective optimization model for life-cycle seismic design of bridge[J]. China Journal of Highway and Transport, 2017, 30(12): 187-195. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201712021.htm
    [31]
    YANG Fan, DENG Bin, WANG Guo-zhi, et al. Multi-optimization on improved expansion chamber hydraulic pulsation attenuators using a NSGA[J]. Journal of Vibration and Shock, 2018, 37(12): 1-8, 34. (in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201812001.htm
    [32]
    WANG Meng. Study on characteristics and applications of on-track load of welded bogie frame[D]. Beijing: Beijing Jiaotong University, 2016. (in Chinese).
    • Relative Articles
    • Supplements(0)
    • Cited By

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (2321) PDF downloads(566) Cited by()
    Related

    Website copyright Journal of Traffic and Transportation Engineering Editorial Department陕ICP备05001904号-1

    Address ：Editorial Department of Journal of Traffic and Transportation Engineering, Chang'an University, Middle Section of South 2nd Ring Road, Xi'an, China（710064） Tel：029-82334388 Email：jygc@gfscw.cn

    All visit:Today's visit:

    Supported by: Beijing Renhe Information Technology Co. Ltd    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return