Evaluation Method of Tractor Dynamic Models Based on Time Response Error and Grey Relational Analysis
Abstract
Aiming to address the issues of missing accuracy evaluation for tractor dynamic models and the lack of systematic, standardized assessment methods, an accuracy evaluation approach was proposed based on time-response error and grey relational analysis, grounded in the verification, validation, and accreditation (VV&A) theory of model simulation systems. A hierarchical validation index system comprising phase error, amplitude error, and shape error was constructed, and the grey relational degree method was applied for segmental evaluation of dynamic response curves. Four sets of idealized test cases with defined error components were designed and analyzed by using both the proposed method and traditional numerical error analysis techniques. The results demonstrated that the proposed method effectively decoupled and accurately identified multiple error characteristics in each test case, precisely reflecting the sources and distribution of errors, while its comprehensive evaluation accuracy outperformed traditional methods. Furthermore, taking a self-developed longitudinal dynamic model of a power-shift tractor as an application case, real vehicle data were collected under five road conditions: tilled field, untilled field, stubble field, concrete surface, and mixed road surface. The proposed method was used to compare and analyze simulation results against real vehicle data under various working conditions. The results indicated that the mean comprehensive accuracy score of the model was 90.95. Under high-speed and complex road conditions, scores for various error characteristics decreased significantly, with comprehensive results in some extreme conditions falling below 88, reflecting certain limitations of the model under different working conditions, which aligned with objective reality and verified the effectiveness and comprehensiveness of the proposed evaluation method.
Keywords:tractors dynamics model;evaluation method;time response error;grey relational analysis
Download Full Text:
PDFReferences
DOU Haishi, WANG Zhuobing, ZHANG Youtong. Design of dual-stream coupled tractor and verification of power system parameters [J] . Tractor & Farm Transporter, 2025, 52(3) ; 26 -29. (in Chinese)
WANG Jian, ZHU Xiaokai, XIE Tailin, et al. Automatic shift strategy of full power shift transmission for heavy duty tractors [J] . Transactions of the Chinese Society for Agricultural Machinery, 2024, 55(10); 444 -455. ( in Chinese)
ZHANG Yan’an, W ANG Dongqing, DU Yuefeng, et al. Shift strategy for powershift tractor based on digital twins [ J ]. Transactions of the Chinese Society for Agricultural Machinery, 2024, 55(5) ; 440 -448. (in Chinese)
FU Shenghui, ZHANG Yan’an, ZHANG Wen, et al. PST shift strategy and hardware in loop test considering adaptive compensation of random load [ J]. Transactions of the Chinese Society for Agricultural Machinery, 2022, 53(9) ; 408 -416.( in Chinese)
LI Baogang. Study on gear design method and control strategy of power-shift transmission Dj. Chongqing: Chongqing University, 2020. (in Chinese)
LI Baogang, SUN Dongye, HU Minghui, et al. Coordinated control of gear shifting process with multiple clutches for power-shift transmission[ J ]. Mechanism and Machine Theory, 2019, 140; 274 -291.
LU Liqun, ZHOU Yaqian, LI Hui, et al. Electro-hydraulic shift quality of power shift transmission of heavy duty tractor [J] . Transactions of the Chinese Society for Agricultural Machinery, 2020, 51 (Supp. 1 ) ; 367 -376. (in Chinese)
XIA Yu, SUN Dongye, QIN Datong, et al. Optimisation of the power-cycle hydro-mechanical parameters in a continuously variable transmission designed for agricultural tractors[ J ]. Biosystems Engineering, 2020, 193; 12 -24.
LIANG Yuhui. Dynamic modeling and vibration noise analysis of tractor power shift transmission box [D]. Changchun: Jilin University, 2021. (in Chinese)
YAN Xianghai. Research on the key technologies of virtual test of tractor powershift transmission D]. Luoyang: Henan University of Science and Technology, 2021. (in Chinese)
MAO Yawei. Research on tractor PST co-simulation technology based on FMI[ D]. Luoyang: Henan University of Science and Technology, 2023. (in Chinese)
HUANG Peng. Dynamic modeling and vibration characterization of high-horsepower tractor under plowing operation [ D]. Zibo: Shandong University of Technology, 2024. (in Chinese)
LI Wei, LIN Shenglin, ZHOU Yuchen, et al. Research progress on reliability evaluation of complex simulation systems J]. Scientia Sinica( Informationis) , 2018, 48(7) ; 767 -782. (in Chinese)
WANG Zicai, ZHANG Bing, YANG Ming. Verification validation and accreditation( VV&A ) for simulation system: current status and future [J ] Journal of System Simulation, 1999, 11(5); 321 -325, 340. (in Chinese)
WANG Chenguang, BAI Jinpeng, LI Tingting, et al. Reliability evaluation method of radar simulation model based on air combat mechanisml [J], Journal of System Simulation, 2023, 35(10) : 2113 -2121. (in Chinese)
GAO Shan, XUE Huifeng, ZHANG Pu, et al. Research on the process of verification, validation and accreditation for aerospace products performance prototype [ J ]. Computer Simulation, 2021 , 38(12) ; 371 -375. (in Chinese)
SUN Jihao, ZHANG Zhihao, LIU Xiao, et al. Reduced methane combustion mechanism and verification, validation, and accreditation ( VV& A) in CFD for no emission prediction [J]. Journal of Thermal Science, 2020, 30(2) : 610 -623.
ZHAN Zhenfei. Model validation for vehicle safety oriented multivariate dynamic systems under uncertainty: theories and applications [ D ]. Shanghai; Shanghai Jiao Tong University, 2011. (in Chinese)
ZHENG Kai, HU Jie, ZHAN Zhenfei, et al. Multivariate responses analysis for model validation of dynamic systems [ J ]. Journal of Shanghai Jiao Tong University, 2015, 49(2) : 191 - 195. ( in Chinese)
Refbacks
- There are currently no refbacks.
