高速履带车辆制动能量与制动力分布规律预测方法研究

doi:10.3969/j.issn.1000-1093.2019.05.002

摘要/Abstract

摘要： 为预测高速履带车辆制动系统能量与制动力的分布规律，以某型履带车辆为例建立其整车动力学模型、推进系统模型以及制动系统模型，提出一种由路线长度、坡度、半径、侧倾角、路面功率谱密度、行驶阻力系统. 土壤最大附着系数、最大转向阻力系数8个参数定义试验场地的建模方法。分析了道路参数对车速的影响；采用最优控制理论设计车辆最短时间仿真行驶策略，基于试验数据建立二元线性回归方程修正仿真制动转矩。通过试验与仿真验证了模型的准确性以及控制策略的有效性。基于1 000 km试验数据建立典型试验场地模型，并预测了6 000 km车辆全寿命里程制动能量与制动力分布情况。仿真与预测结果验证了该方法的可行性。

关键词: 履带车辆, 制动系统, 制动能量与制动力分布, 最优控制

Abstract: A series of models， including a dynamics model, a driving system model and a braking system model， were established to study a tracked vehicle, which are used to predict the energy/force distributions of the braking system in high speed tracked vehicle. An approach to define testing road using eight parameters such as line length, slope, radius, roil angle, pavement power spectral density, running resistance coefficient, maximum soil adhension coefficient, and maximum steering resistance coefficient, is proposed, and then the influences of these parameters on the speed of vehicle are investigated. A driving strategy to minimize the running time of vehicle is designed based on the optimal control theory, and a binary linear regression equation used to calculate the braking torque is derived statistically. The accuracy of the approach and the efficiency of the strategy are verified using the experimental and simulated results. A typical model is built based on the experimental data of 1 000 km distance field test, and is used to predict the energy/force distributions of braking system in the region of a whole distance of 6 000 km. Key

Key words: trackedvehicle, brakingsystem, brakingenergyandforcedistribution, optimalcontrol

中图分类号:

TJ810.3⁺21

张舒阳，张豫南，宁克焱，颜南明，方青峰. 高速履带车辆制动能量与制动力分布规律预测方法研究[J]. 兵工学报, 2019, 40(5): 904-914.

ZHANG Shuyang， ZHANG Yunan， NING Keyan， YAN Nanming， FANG Qingfeng. Research on Forecasting Methods of Braking Energy/force Distribution for High Speed Tracked Vehicles[J]. Acta Armamentarii, 2019, 40(5): 904-914.

参考文献

［1］ SCHMID S，SCHNEIDER D，HERRMANN C ,et al. A multiscale approach for thermo-mechanical simulations of loading courses in cast iron brake discs［J］. International Journal for Multiscale Computational Engineering, 2016,14(1): 25-43.
［2］ GIGAN G L，VERNERSSON T，LUNDEN R, et al. Disc brakes for heavy vehicles: an experimental study of temperatures and cracks［J］.Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2015,229(6): 684-707.
［3］ GIGAN G L，EKH M，VERNERSSON T, et al. Modeling of grey cast iron for application to brake discs for heavy vehicles［J］. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2017, 231(1):35-49.
［4］杨树忠, 熊坚, 张昆. 汽车在山区公路制动、转向载荷谱的测试系统［J］.云南工业大学学报，1998，14(4)：46-49.
YANG S Z，XIONG J，ZHANG K. The test system of stop & turn load spectrum for automobile on mountain roads［J］.Journal of Yunnan Polytechnic University，1998,14(4)：46-49. (in Chinese)
［5］仇斌. 电动城市公交车制动能量回收过程中的能量效率研究［D］.北京：清华大学，2011.
QIU B. Research on the energy efficiency of electric city bus during regenerative braking ［D］.Beijing:Tsinghua University, 2011. (in Chinese)

［6］刘凌,李雪峰,汪伟,等.串联式混合动力客车制动能量回收的研究［J］.交流技术与电力牵引，2007(3)：45-48.
LIU L，LI X F，WANG W，et al. Research of brake energy regeneration in serial hybrid electric bus ［J］. Converter Technology & Electric Traction,2007(3):45-48. (in Chinese)

［7］尹安东.基于混合系统理论的混合动力客车控制策略和参数优化研究［D］.合肥：合肥工业大学，2012.
YIN A D. Study on control strategy and parameter optimization of hybrid electric bus based on hybrid system theory［D］.Hefei:Hefei University of Technology, 2012. (in Chinese)
［8］骆国清,王旭东,张更云,等.装甲车辆发动机载荷谱仿真与试验研究［J］.兵工学报，2012，33(12)：1442-1447.
LUO G Q，WANG X D，ZHANG G Y，et al. Loading spectrum simulation and experiment study of the armored vehicle engine［J］.Acta Armamentarii,2012,33(12):1442-1447.(in Chinese)
［9］刘海鸥, 赵梓烨, 徐宜, 等. 履带车辆扭矩载荷测试样本量的确定［J］.车辆与动力技术，2017(2)：26-32.
LIU H O，ZHAO Z Y，XU Y，et al. Sample size determination of torque load testing for tracked vehicles［J］.Vehicle & Power Technology, 2017(2):26-32. (in Chinese)

［10］陆宏泽,张付军,赵长禄,等.履带车辆行驶循环的构建方法研究［J］.兵工学报，2011，32(9)：1041-1046.
LU H Z，ZHANG F J，ZHAO C L，et al.Investigation on a construction method of driving cycle for tracked vehicle［J］.Acta Armamentarii, 2011, 32(9):1041-1046. (in Chinese)

［11］王红岩,韩立军,王钦龙,等.基于虚拟试验的履带车辆行驶载荷谱的确定方法［J］.装甲兵工程学院学报，2013，27(4)：30-35.
WANG H Y，HAN L J，WANG Q L，et al. Method of determining driving load spectrum of tracked vehicles based on virtual testing［J］.Journal of Academy of Armored Force Engineering,2013, 27(4):30-35. (in Chinese)
［12］王克运, 史力晨, 张芳，等.军用履带车辆越野平均速度预测模型研究［J］.兵工学报，2010，31(3)：273-278.
WANG K Y，SHI L C，ZHANG F，et al. Research on prediction model of average cross-country speed of military tracked vehicle［J］.Acta Armamentarii, 2010, 31(3): 273-278. (in Chinese)
［13］杨国权, 赵又群, 郝鹏飞.车辆虚拟试验场的路面建模方法研究［J］.系统仿真技术，2010，6(3)：183-186.
YANG G Q，ZHAO Y Q，HAO P F. Method about the road modeling of vehicle virtual proving ground ［J］. System Simulation Technology, 2010, 6(3): 183-186. (in Chinese)

［14］米召阳,穆洪斌,廖桐舟,等.某履带车辆盘式制动器制动盘的瞬态热分析［J］.车辆与动力技术，2018(1)：22-28.
MI Z Y，MU H B，LIAO T Z，et al.Transient thermal analysis of a tracked vehicle disc brake［J］.Vehicle & Power Technology,2018(1):22-28.(in Chinese)

［15］汪明德,赵毓芹,祝嘉光.坦克行驶原理［M］.北京：国防工业出版社，1983：64-65.
WANG M D，ZHAO Y Q，ZHU J G.Tank driving principles［M］.Beijing:National Defense Industry Press, 1983 :64-65. (in Chinese)

［16］中华人民共和国机械工业部. 车辆振动输入路面平度表示方法：GB 7031—86［S］.北京：中国标准出版社，1986.
People's Republic of China Machinery Industry. Vehicle vibration-describing method for surface irragularily: GB 7031—86［S］.Beijing：China Standards Press,1986. (in Chinese)

［17］荆海英.最优控制理论与方法［M］.沈阳：东北大学出版社，2002(8):85-89.
JING H Y. Optimal control theory and method［M］. Shenyang:Northeastern University Press, 2002:85-89. (in Chinese)

［18］总参装甲兵装备技术研究所.装甲车辆试验规程制动性能试验:GJB 59.12—87 ［S］.北京：国防科学技术工业委员会，1987：1-4.
Armored Forces Equipment Technical Institute, General Staff. Test operations procedure for armoured vehicles braking: GJB 59.12—87［S］.Beijing: the Commission of Science,Technology and Industry for National Defense,1987:1-4.(in Chinese)

第40卷第5期
2019 年5月兵工学报ACTA
ARMAMENTARIIVol.40No.5May2019

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