Time-domain Load Extrapolation Method for Tractor Key Parts Based on EMD-POT Model

doi:10.3901/JME.2022.15.252

Abstract

Abstract: To address the two problems of the traditional POT extrapolation method:the lack of adaptation to non-stationary loads and the lack of discussion on the extrapolation reconstruction method, a load time-domain extrapolation method based on the empirical mode decomposition-peaks over threshold(EMD-POT) model is proposed.First, the tractor drive shaft is used as the research object, and its load characteristics are analysed by the measured data under ploughing conditions.The results show that the change of tractor operating conditions is the main factor causing the non-stationary load.Second, for the first problem, the EMD method is combined to achieve lossless extraction of principal component loadings without considering trend loadings;for the second problem, a combination of extrapolated load screening, threshold qualification and extreme value ranking is proposed to achieve accurate reconstruction of extrapolated loads.Finally, the extrapolated stable load is superimposed on the trend load, and the load history after extrapolation is obtained.The results show that the improved method can significantly solve the problem of distortion of extrapolation results when dealing with non-stationary loads by the traditional method, and the proposed reconstruction method can further improve the consistency of the extrapolated and measured load cycles, with the stability of the mean and standard deviation improving by 28.5% and 31.2% respectively.The damage calculation results show that the cumulative damage of the improved method can reasonably cover the measured damage, and the damage consistency is improved by 9.4% compared to the random reconstruction method.

Key words: time-domain extrapolation, load characteristics, EMD, POT method, load spectrum

CLC Number:

U270

YANG Zihan, SONG Zhenghe, LUO Zhenhao, ZHAO Xueyan, YIN Yiyong. Time-domain Load Extrapolation Method for Tractor Key Parts Based on EMD-POT Model[J]. Journal of Mechanical Engineering, 2022, 58(15): 252-262.

References

[1] 谢斌, 武仲斌, 毛恩荣.农业拖拉机关键技术发展现状与展望[J].农业机械学报, 2018, 49(8):1-17.XIE Bin, WU Zhongbin, MAO Enrong. Development and prospect of key technologies on agricultural tractor[J].Transactions of the CSAM, 2018, 49(8):1-17.
[2] PARAFOROS D S, GRIEPENTROG H W, VOUGIOUKAS S G. Modeling and simulation of a four-rotor rake loading for predicting accumulated fatigue damage:A Markov regime-switching approach[J].Applied Engineering in Agriculture, 2018, 34(2):317-325.
[3] WEN C, XIE B, LI Z, et al. Power density based fatigue load spectrum editing for accelerated durability testing for tractor front axles[J]. Biosystems Engineering, 2020, 200:73-88.
[4] LIU X, ZHANG M, WANG H, et al. Fatigue life analysis of automotive key parts based on improved peak-over-threshold method[J]. Fatigue&Fracture of Engineering Materials&Structures, 2020, 43(8):1824-1836.
[5] WANG J, CHEN H, LI Y, et al. A review of the extrapolation method in load spectrum compiling[J].Journal of Mechanical Engineering, 2016, 62(1):60-75.
[6] NAGODE M, KLEMENC J, FAJDIGA M. Parametric modelling and scatter prediction of rainflow matrices[J]. International Journal of Fatigue, 2001, 23(6):525-532.
[7] JOHANNESSON P, THOMAS J J. Extrapolation of rainflow matrices[J]. Extremes, 2001, 4(3):241-262.
[8] 李昕雪, 王迎光.不同外推方法求解近海风机的极限载荷[J].上海交通大学学报, 2016, 50(6):844-848.LI Xinxue, WANG Yingguang. Comparison of different statistic extrapolation methods in calculation of extreme load of offshore wind turbines[J]. Journal of Shanghai Jiaotong University, 2016, 50(6):844-848.
[9] JOHANNESSON P. Extrapolation of load histories and spectra[J]. Fatigue&Fracture of Engineering Materials&Structures, 2006, 29(3):209-217.
[10] LI S, CUI W, PAIK J K. An improved procedure for generating standardised load-time histories for marine structures[J]. Proceedings of the Institution of Mechanical Engineers, Part M:Journal of Engineering for the Maritime Environment, 2016, 230(2):281-296.
[11] 尹宜勇, 付宁善, 廖频, 等.基于DTW距离的拖拉机传动轴载荷样本长度计算方法[J].农业工程学报, 2020, 36(12):54-60.YIN Yiyong, FU Ningshan, LIAO Pin, et al. Calculation method of load sample size for tractor drive shafts based on dynamic time warping distance[J]. Transactions of the CSAE, 2020, 36(12):54-60.
[12] RAGAN P, MANUEL L. Statistical extrapolation methods for estimating wind turbine extreme loads[J].Journal of Solar Energy Engineering, 2008, 130(3):031011.
[13] YANG X, LIU X, TONG J, et al. Research on load spectrum construction of bench test based on automotive proving ground[J]. Journal of Testing and Evaluation, 2017, 46(1):244-251.
[14] HE J, ZHAO X, LI G, et al. Time domain load extrapolation method for CNC machine tools based on GRA-POT model[J]. The International Journal of Advanced Manufacturing Technology, 2019, 103(9):3799-3812.
[15] 杨子涵, 宋正河, 尹宜勇, 等.基于POT模型的大功率拖拉机传动轴载荷时域外推方法[J].农业工程学报, 2019, 35(15):40-47.YANG Zihan, SONG Zhenghe, YIN Yiyong, et al. Time domain extrapolation method for load of drive shaft of high-power tractor based on POT model[J]. Transactions of the CSAE, 2019, 35(15):40-47.
[16] YANG Z H, SONG Z H, ZHAO X Y, et al. Time-domain extrapolation method for tractor drive shaft loads in stationary operating conditions[J]. Biosystems Engineering, 2021, 210:143-155.
[17] PARAFOROS D S, GRIEPENTROG H W. Switching Markov chains for modelling the loads of a four-rotor swather under different operating modes[J]. IFACPapersOnLine, 2017, 50(1):5392-5397.
[18] WANG J, ZHANG J, LIANG Y, et al. A cyclic simulation approach for the generation of the non-stationary load histories of engineering vehicles[J]. Journal of Mechanical Science and Technology, 2012, 26(5):1547-1554.
[19] CERRINI A, JOHANNESSON P, BERETTA S.Superposition of manoeuvres and load spectra extrapolation[C]//Applied Mechanics and Materials.Trans Tech Publications Ltd, 2006, 5:255-262.
[20] QIN C J, SHI G, TAO J, et al. Precise cutterhead torque prediction for shield tunneling machines using a novel hybrid deep neural network[J]. Mechanical Systems and Signal Processing, 2021, 151:107386.
[21] POIRIER M, GAGNON M, TAHAN A, et al. Extrapolation of dynamic load behaviour on hydroelectric turbine blades with cyclostationary modelling[J].Mechanical Systems and Signal Processing, 2017, 82:193-205.
[22] 胡茑庆, 陈徽鹏, 程哲, 等.基于经验模态分解和深度卷积神经网络的行星齿轮箱故障诊断方法[J].机械工程学报, 2019, 55(7):9-18.HU Niaoqing, CHEN Huipeng, CHENG Zhe, et al. Fault diagnosis for planetary gearbox based on EMD and deep convolutional neural networks[J]. Journal of Mechanical Engineering, 2019, 55(7):9-18.
[23] ALVANITOPOULOS P F, ANDREADIS I, ELENAS A.Interdependence between damage indices and ground motion parameters based on Hilbert-Huang transform[J].Measurement Science and Technology, 2009, 21(2):025101.
[24] MAZAS F, HAMM L. A multi-distribution approach to POT methods for determining extreme wave heights[J].Coastal Engineering, 2011, 58(5):385-394.
[25] 陈道云, 孙守光, 李强.高速列车载荷谱推断及扩展方法研究[J].机械工程学报, 2018, 54(10):151-155.CHEN Daoyun, SUN Shouguang, LI Qiang. Study on deduction and extend of high-speed train load spectrum[J].Journal of Mechanical Engineering, 2018, 54(10):151-155.
[26] 杨广雪, 李广全, 周君锋, 等.高速动车组牵引拉杆载荷特性研究[J].机械工程学报, 2020, 56(8):200-206.YANG Guangxue, LI Guangquan, ZHOU Junfeng, et al.Study on traction rod load characteristics of high speed train[J]. Journal of Mechanical Engineering, 2020, 56(8):200-206.