基于主成分分析阈值选取的挖掘机主泵载荷谱外推

doi:10.13229/j.cnki.jdxbgxb20210663

Abstract

Abstract:

Aiming at the high sensitivity and low accuracy of threshold selection in time domain extrapolation， a multi-criteria threshold selection method based on principal component analysis is proposed. First， a pressure wireless test system to collect load data under continuous operating conditions of hydraulic excavators was set up； and the fitting test indexes of Generalized Pareto distribution (GPD) under various candidate thresholds are obtained through a variety of test criteria， and the optimal threshold is selected based on each test index and principal component analysis. Secondly， the over-threshold data is extracted and the GPD distribution is used to fit the over-threshold data. The correlation coefficient between the fitting result and the over-threshold data is greater than 0.995， and the GPD distribution generates random data consistent with the number of over-threshold data and replaces the original over-threshold data to achieve extrapolation of the load spectrum in time domain. Finally， the frequency characteristics of the one-fold extrapolated data and the original data are analyzed， and the amplitude correlation coefficient between them is 0.987， and the mean correlation coefficient is 0.993. The results show that the threshold selection method in this paper is suitable for time-domain extrapolation of the load spectrum.

Key words: hydraulic excavator, parameter estimation, time domain extrapolation, generalized pareto distribution

CLC Number:

TU621

Jin-shi CHEN,Miao-miao ZHANG,Pu-chang WANG,Dong-ni GENG,Yue-xing WANG,Zhi-wei ZHANG. Extrapolation of excavator main pump load spectrum based on threshold selection for principal component analysis[J].Journal of Jilin University(Engineering and Technology Edition), 2023, 53(2): 355-363.

Figures/Tables 14

Fig.1

Fig.2

Fig.3

Fig.4

Table 1

Normalized matrix X"

阈值u	$X 1$	$X 2$	$X 3$	$X 4$	$X 5$	$X 6$
74	0.0249	0.0028	0.1239	0	0	0.5362
75	0.0600	0.0494	0.0766	0.0600	0.0589	0.5611
76	0	0	0.2586	0.0492	0.0002	0.4678
$?$	$?$	$?$	$?$	$?$	$?$	$?$
174	0.8191	0.7757	0.9161	0.9020	0.7656	0.2753
175	0.7693	0.7162	0.8947	0.8632	0.7041	0

Table 1

Table 2

Test criteria index correlation matrix table A"

	$X 1$	$X 2$	$X 3$	$X 4$	$X 5$	$X 6$
$X 1$	1.0000	0.9962	0.9710	0.9874	0.9948	0.7158
$X 2$	0.9962	1.0000	0.9642	0.9903	0.9993	0.7519
$X 3$	0.9710	0.9642	1.0000	0.9704	0.9584	0.6423
$X 4$	0.9874	0.9903	0.9704	1.0000	0.9858	0.6871
$X 5$	0.9948	0.9993	0.9584	0.9858	1.0000	0.7612
$X 6$	0.7158	0.7519	0.6423	0.6871	0.7612	1.0000

Table 2

Table 3

Eigenvalue contribution rate table"

特征值	特征根	贡献率/%	累积贡献率/%
$λ 1$	0.4014	94.67	94.67
$λ 2$	0.0187	4.40	99.07
$λ 3$	0.0028	0.66	99.73
$λ 4$	0.0009	0.22	99.95
$λ 5$	0.0002	0.05	100.00
$λ 6$	0.0000	0.00	100.00

Table 3

Table 4

Lower limit thresholds u， F and ranking table"

阈值u	评价值F	排名	阈值u	评价值F	排名
156	2.3117	1	172	1.9280	52
158	2.3115	2	173	1.9136	53
$?$	$?$	$?$	$?$	$?$	$?$
121	1.9613	50	76	0.2395	101
123	1.9478	51	74	0.1994	102

Table 4

Table 5

Upper limit thresholds u， F and ranking table"

阈值u	评价值F	排名	阈值u	评价值F	排名
211	1.9398	1	235	1.3496	52
206	1.9383	2	236	1.3374	53
$?$	$?$	$?$	$?$	$?$	$?$
175	1.3551	50	274	0.3415	101
198	1.3496	51	273	0.3250	102

Table 5

Table 6

Fig.5

Fig.6

Fig.7

Fig.8

References 19

1	张英爽,王国强,王继新,等.轮式装载机半轴载荷谱编制及疲劳寿命预测[J]. 吉林大学学报: 工学版,2011, 41(6): 1646-1651.
	Zhang Ying-shuang, Wang Guo-qiang, Wang Ji-xin,et al. Load spectrum compiling and fatigue life prediction of wheel loader axle shaft[J]. Journal of Jilin University(Engineering and Technology Edition), 2011, 41(6): 1646-1651.
2	朱剑峰,张君媛,陈潇凯,等.汽车控制臂台架疲劳试验载荷块编制[J]. 吉林大学学报:工学版, 2017, 47(5): 1376-1372.
	Zhu Jian-feng, Zhang Jun-yuan, Chen Xiao-kai,et al. Block cycle load compilation for automotive control arm fatigue bench test[J]. Journal of Jilin University(Engineering and Technology Edition), 2011, 41(6): 1376-1372.
3	Wang Ji-xin, Chen Hong-bin, Li Yan, et al. A review of the extrapolation method in load spectrum compiling[J]. Journal of Mechanical Engineering, 2016, 62(1): 60-75.
4	翟新婷, 陈明东. 花生联合收获机秧蔓夹持输送系统载荷谱编制[J]. 农业机械学报, 2020, 51(): 268-273, 370.
	Zhai Xin-ting, Chen Ming-dong. Load spectrum compiling of peanut combine harvester's seeding clamping and conveying system[J]. Transactions of the Chinese Society for Agricultural Machinery, 2020, 51(Sup.1): 268-273, 370.
5	Johannesson P, Thomas J J. Extrapolation of rainflow matrices[J]. Extremes, 2001, 4(3): 241-262.
6	Wang M L, Liu X T, Wang X L, et al. Research on load-spectrum construction of automobile key parts based on monte carlo sampling[J]. Journal of Testing & Evaluation, 2017, 46(3): 1099-1110.
7	李雯, 张承宁, 宋强, 等. 混合动力汽车电机驱动系统二维载荷谱研究[J]. 农业机械学报, 2010, 41(7): 21-24, 29.
	Li Wen, Zhang Cheng-ning, Song qiang, et al.2-D load spectrum for motor propulsion system on hybrid electric vehicle[J]. Transactions of the Chinese Society for Agricultural Machinery, 2010, 41(7): 21-24, 29.
8	Johannesson P. Extrapolation of load histories and spectra[J]. Fatigue & Fracture of Engineering Materials & Structures, 2010, 29(3): 201-207.
9	Carboni M, Cerrini A, Johannesson P, et al. Load spectra analysis and reconstruction for hydraulic pump components[J]. Fatigue & Fracture of Engineering Materials & Structures, 2010, 31(3/4): 251-261.
10	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 & Evaluation, 2018, 46(1): 244-251.
11	Yang X, Zhang J, Ren W X. Threshold selection for extreme strain extrapolation due to vehicles on bridges[J]. Procedia Structural Integrity,2017,5:1176-1183.
12	宫海彬,苏建,王兴宇,等.基于极值外推的高速列车齿轮传动装置载荷谱编制[J].吉林大学学报:工学版, 2014, 44(5): 1264-1269.
	Gong Hai-bin, Su Jian, Wang Xing-yu, et al. Compiling method of load spectrum of high-speed train gear drive system base on extreme value extrapolation[J]. Journal of Jilin University(Engineering and Technology Edition), 2014, 44(5): 1264-1269.
13	Beirlant J, Dierckx G, Goegebeur Y, et al. Tail index estimation and an exponential regression model[J]. Extremes, 1999, 2(2): 177-200.
14	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 Zi-han, Song Zheng-he, Yin Yi-yong, et al. Time domain extrapolation method for load of drive shaft of high-power tractor based on POT model[J]. Transactions of the Chinese Society of Agricultural Engineering, 2019, 35(15): 40-47.
15	Thompson P, Cai Y, Reeve D, et al. Automated threshold selection methods for extreme wave analysis[J]. Coastal Engineering, 2009, 56(10): 1013-1021.
16	王禹, 王玲, 吕东晓, 等. 基于FDR阈值自动选取的拖拉机PTO转矩载荷谱外推[J]. 农业机械学报, 2021, 52(3): 364-372.
	Wang Yu, Wang Ling, Lv Xiao-dong, et al. Extrapolation of tractor PTO torque load spectrum based on automated threshold selection with FDR[J]. Transaction of the Chinese Society for Agricultural Machinery,2021, 52(3): 364-372.
17	李春平, 杨益民, 葛莹玉. 主成分分析法和层次分析法在对综合指标进行定量评价中的比较[J]. 南京财经大学学报, 2005(6): 54-57.
	Li Chun-ping, Yang Yi-min, Ge Ying-yu. A comparison of the quantitative appraisal of mult-index between the principal component analysis algorithm and the analytical hierarchy process[J]. Journal of Nanjing University Finance and Economics, 2005(6): 54-57.
18	Wang J, Wang N, Wang Z, et al. Determination of the minimum sample size for the transmission load of a wheel loader based on multi-criteria decision-making technology[J]. Journal of Terramechanics, 2012, 49(3/4): 147-160.
19	翟新婷. 基于外推改进的工程机械载荷谱编制方法研究[D]. 长春: 吉林大学机械与航空航天工程学院, 2018.
	Zhai Xin-ting. Load spectrum compiling method based on modified extrapolation in construction Machinery[D]. Changchun: School of Mechanical and Aerospace Engineering, Jilin University, 2018.

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阈值	形状参数	尺度参数
156	-0.4355	72.3797
211	-0.4672	59.5360

Extrapolation of excavator main pump load spectrum based on threshold selection for principal component analysis

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