多级刚度双质量飞轮扭转特性建模与试验验证

doi:10.13229/j.cnki.jdxbgxb20181239

摘要/Abstract

摘要：

针对多级刚度双质量飞轮扭转特性建模和分段点平滑拟合展开了研究。首先，在分析多级刚度双质量飞轮工作原理基础上，建立了考虑分段刚度、阻尼非线性的双质量飞轮扭转特性数学模型，并通过台架试验验证模型准确性。其次，针对所建模型存在跳跃间断点以及仿真过程中可能出错的问题，采用反正切函数对模型进行平滑拟合，得到基于反正切拟合函数的双质量飞轮非线性模型。最后，对平滑拟合前、后模型进行对比分析，结果表明：采用反正切函数平滑拟合对模型精度影响较小，使模型分段点和临界点平滑过渡，提升了模型仿真稳定性。

关键词: 车辆工程, 多级刚度, 双质量飞轮, 非线性建模, 反正切函数, 台架试验

Abstract:

The torsional characteristics modeling and piecewise point smooth fit of multi-stage stiffness Dual Mass Flywheel (DMF) are studied. Firstly, based on the analysis of the working principle of multi-stage stiffness DMF, a mathematical model of the torsional characteristics of the DMF with piecewise stiffness and damping nonlinearity is established, and the accuracy of the model is verified through bench test. Secondly, to solve the problems of jump discontinuities in the model, and the errors that may occur during the simulation process, the inverse tangent function is used to smoothly fit the model, and the nonlinear model of the DMF based on the arctangent fitting function is obtained. Finally, the models before and after smooth fitting are compared and analyzed. The results show that the smooth fitting of the arctangent function has little effect on the accuracy of the model, which can make the model piecewise point and the critical point smoothly transition, and improve the model simulation stability.

Key words: vehicle engineering, multi-stage stiffness, dual mass flywheel (DMF), nonlinear torsional characteristics modeling, arctangent function, bench test

中图分类号:

U461.1

史文库,陈龙,张贵辉,陈志勇. 多级刚度双质量飞轮扭转特性建模与试验验证[J]. 吉林大学学报(工学版), 2020, 50(1): 44-52.

Wen-ku SHI,Long CHEN,Gui-hui ZHANG,Zhi-yong CHEN. Modeling and tests for torsional characteristics of multi-stage stiffness dual mass flywheel torsional dampers[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(1): 44-52.

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参考文献 15

1	Mahl T , Sawodny O . Modelling of an automotive dual mass flywheel[C]∥IFAC Proceedings Volumes, 2010, 43(18): 517-523.
2	Theodossiades S , Gnanakumarr M , Rahnejat H , et al . Effect of a dual-mass flywheel on the impact-induced noise in vehicular powertrain systems[J]. Institution of Mechanical Engineers Part D Journal of Automobile Engineering, 2006, 220(6): 747-761.
3	Gupta K , Choudhary A , Bidre R . NVH performance improvement study using a dual mass flywheel(DMF) , inertia ring type tuned torsional vibration damper(TVD) and single mass flywheel(SMF) in a front engine and rear wheel driveline architecture[C]∥SAE Paper, 2017-01-1752.
4	宋立权, 周建东, 吴荣华, 等 . 摩擦式双级分段变刚度汽车双质量飞轮设计理论研究及应用[J]. 机械工程学报, 2012, 48(15): 150-157.
	Song Li-quan , Zhou Jian-dong , Wu Rong-hua , et al . Research and application on design theory of friction dual mass flywheel with double-stage piecewise variable stiffness[J]. Journal of Mechanical Engineering, 2012, 48(15): 150-157.
5	李伟, 史文库, 龙岩, 等 . DMF-CS型扭振减振器刚度匹配设计[J]. 吉林大学学报:工学版, 2009, 39(增刊1):62-67.
	Li Wei , Shi Wen-ku , Long Yan , et al . Match and design of torsional stiffness of the DMF-CS torsional damper[J] Journal of Jilin University(Engineering and Technology Edition), 2009, 39(Sup.1): 62-67.
6	曾荣, 左厅, 江征风, 等 . 周向长弧形弹簧式双质量飞轮迟滞非线性扭转特性模型研究[J]. 中国机械工程, 2015, 26(16): 2148-2153.
	Zeng Rong , Zuo Ting , Jiang Zheng-feng , et al . Hysteresus torsion characteristic model of circumferential arc spring dual mass flywheel[J] . China Mechanical Engineering, 2015, 26(16): 2148-2153.
7	Kim T H , Song H L , Hwang S H , et al . Analysis of dual mass flywheel using discrete arcspring model[J]. Key Engineering Materials, 2006, 326-328: 1607-1610.
8	宋立权, 周建东, 吴荣华, 等 . 摩擦式双级分段变刚度汽车双质量飞轮设计理论研究及应用[J]. 机械工程学报, 2012, 48(15): 150-157.
	Song Li-quan ， Zhou Jian-dong ， Wu Rong-hua , et al . Research and application on design theory of friction dual mass flywheel with double-stage piecewise variable stiffness[J]. Journal of Mechanical Engineering, 2012, 48(15): 150-157.
9	曾礼平, 陈齐平, 袁星星, 等 . 汽车三级分段变刚度双质量飞轮非线性振动研究[J]. 中国机械工程, 2018, 29(20): 2453-2459.
	Zeng Li-ping ， Chen Qi-ping ， Yuan Xing-xing , et al . Study on nonlinear vibration of vehicle dual mass flywheel with three-stage piecewise stiffnesses[J]. China Mechanical Engineering, 2018, 29(20): 2453-2459.
10	Kim T C , Rook T E , Singh R . Effect of smoothening functions on the frequency response of an oscillator with clearance non-linearity[J]. Journal of Sound & Vibration, 2003, 263(3): 665-678.
11	吴虎威, 吴光强, 陈祥, 等 . 考虑迟滞特性的多级刚度扭转减振器建模及试验验证[J]. 振动与冲击, 2017, 36(2): 170-176.
	Wu Hu-wei , Wu Guang-qiang , Chen Xiang , et al . Numerical and experimental analysis on multi-staged stiffness clutch dampers considering hysteresis characteristics[J]. Journal of Vibration and Shock, 2017, 36(2): 170-176.
12	刘圣田 . 双质量飞轮式扭振减振器对振动的控制分析[J]. 农业机械学报, 2004, 35(3): 16-19.
	Liu Sheng-tian . Influences of a dual-mass flywheel damper on idling vibration[J] Transactions of the Chinese Society for Agricultural Machinery, 2004, 35(3): 16-19.
13	史文库, 龙岩, 卢玉东 . 多级非线性双质量飞轮参数设计和优化[J]. 振动与冲击, 2009, 28(5): 92-96.
	Shi Wen-ku , Long Yan , Lu Yu-dong . Study on multistage non-linear dual mass flywheel damper[J]. Journal of Vibration and Shock, 2009, 28(5): 92-96.
14	赵光明, 江征风, 陈雷, 等 . 周向长弧形弹簧双质量飞轮阻尼特性研究及其试验验证[J]. 内燃机工程, 2012, 33(1): 81-86.
	Zhao Guang-ming , Jiang Zheng-feng , Chen Lei , et al . Research and experiment verification on damping characteristics of circumferential arc spring dual mass flywheel[J]. Chinese Internal Combustion Engine Engineering, 2012, 33(1): 81-86.
15	丁千, 翟红梅 . 机械系统摩擦动力学研究进展[J]. 力学进展, 2013, 43(1): 112-131.
	Ding Qian , Zhai Hong-mei . The advance in researches of friction dynamics in mechanics system[J]. Advances in Mechanics, 2013, 43(1): 112-131.

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变量	设计值	试验值
一级刚度/[N?m?(°)^-1]	3.5	3.2
二级刚度/ [N?m?(°)^-1]	12	11
间隙转角/(°)	10	9
基础阻尼/[N?m?s?(°)^-1]	12	12.27
一级刚度扭转角度/(°)	44.5	44.5
最大转角/(°)	60	59.61