考虑摩擦力矩和含间隙变化刚度的双质量飞轮非线性振动研究

曾礼平1,陈齐平1,宋立权2

振动与冲击 ›› 2018, Vol. 37 ›› Issue (6) : 231-237.

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (6) : 231-237.
论文

考虑摩擦力矩和含间隙变化刚度的双质量飞轮非线性振动研究

  • 曾礼平1,陈齐平1,宋立权2
作者信息 +

Nonlinear vibration of a dual mass flywheel considering the friction torque and clearance variation characteristics of the stiffness of damping spring

  • ZENG Liping1, CHEN Qiping1,SONG Liquan2
Author information +
文章历史 +

摘要

由于加工和装配的因素,单级刚度周向短弹簧双质量飞轮中存在空转角,飞轮转过空转角时会引起弹性元件与飞轮间的冲击问题。在初级飞轮与次级飞轮间引入摩擦轴承块,可通过在轴向方向施加预紧力产生摩擦力矩,以缓解双质量飞轮转过空转角时,弹簧座与次级飞轮间的冲击。本文考虑摩擦轴承块的轴向预紧力产生的轴向摩擦力矩作用和减振弹簧含间隙变化刚度特性,建立搭载双质量飞轮汽车动力传动系扭振模型和系统非线性振动微分方程,采用平均法进行推导得到系统非线性频率特性近似解析解,分析输入激励和双质量飞轮参数等对系统非线性特性的影响,研究内容对建立符实的双质量飞轮动态特性分析模型和进一步提高双质量飞轮的减振性能提供了理论基础。

Abstract

For a circumferential short spring dual mass flywheel (DMF) with singlestage stiffness, there is a certain empty angle between the primary flywheel and secondary flywheel for machining and assembly reasons. When the flywheel turns across the empty angle,the shock between the elastic element and flywheel may occur. By introducing a friction bearing block into the DMF located between the primary flywheel and secondary flywheel, and loading an axial pretightening force to produce friction torque, the shock between the spring seats and secondary flywheel caused by the empty angle can be released. Considering the friction torque and the piecewise stiffness owing to the clearance of the damping spring in the DMF, the torsional vibration model of the vehicle powertrain system equipped with the DMF and the corresponding nonlinear differential equations were established.The average method was applied in the derivation of the approximate solution of the system nonlinear frequency characteristics, and the influence of the input harmonic incentive amplitude and DMF parameters on the system nonlinear characteristics was analyzed. The study provides a theoretical basis for establishing the dynamic characteristics analysis model of the DMF which is fairly close to actual state and improving the vibration reduction performance of the DMF.

关键词

双质量飞轮 / 摩擦力矩 / 间隙 / 非线性振动 / 平均法

Key words

dual mass flywheel / friction torque / clearance / nonlinear vibration / average method

引用本文

导出引用
曾礼平1,陈齐平1,宋立权2. 考虑摩擦力矩和含间隙变化刚度的双质量飞轮非线性振动研究[J]. 振动与冲击, 2018, 37(6): 231-237
ZENG Liping1, CHEN Qiping1,SONG Liquan2. Nonlinear vibration of a dual mass flywheel considering the friction torque and clearance variation characteristics of the stiffness of damping spring[J]. Journal of Vibration and Shock, 2018, 37(6): 231-237

参考文献

[1] Fidlin A, Seebacher R. DMF simulation techniques–Finding the needle in haysack [C]. 8th LuK symposium, Herzongenaurach, 2006: 55–71.
[2] Kang T S, Kauh S K, Ha K P. Development of the displacement measuring system for a dual mass flywheel in a vehicle[J]. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2009, 223(10): 1273–1281.
[3] Sangue S, Lepoint G, Le Bournault T. New approach to measure instantaneous angular behavior of a dual mass flywheel[C]. Seoul 2000 World Automotive Congress, Seoul, Korea, 2000: 12–15.
[4] Theodossiades S, Gnanakumarr M, Rahnejat H, et al. Effect of a dual-mass flywheel on the impact-induced noise in vehicular powertrain systems[J]. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2006, 220(6): 747–761.
[5] 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(25):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.
[6] 李光辉,胡建军,秦大同.径向弹簧型双质量飞轮扭转减振器扭振固有特性研究[J].中国机械工程,2008,19(15):1800–1805.
LI Guang-hui, HU Jian-jun, QIN Da-tong. Study on Natural Torsional Vibration Characteristics of Dual Mass Flywheel-radial Spring Type Torsional Vibration Damper[J]. China Mechanical Engineering, 2008, 19(15): 1800–1805.
[7] 吕振华,陈涛.双体飞轮-周向弹簧型扭振减振器弹性特性设计研究[J].汽车工程,2006,28(1):73–77.
LÜ Zhen-hua, CHEN Tao. Design of the Elastic Characteristics of Torsional Damper with Double Mass Flywheel and Circumferential Spring[J]. Automotive Engineering, 2006, 28(1): 73–77.
[8] 李以农,钱新建,孙伟.弧形螺旋弹簧动态负载特性仿真分析研究[J].中国机械工程,2012,23(2):155–160.
LI Yi-nong, QIAN Xin-jian, SUN Wei. Simulation and Study on Dynamic Load Characteristics of Arc Spring[J]. China Mechanical Engineering, 2012, 23(2): 155–160.
[9] 黄正,陈德民,王丹杰,等.双质量飞轮的弧形弹簧设计及仿真分析[J].装甲兵工程学院学报,2009,23(4):31–35.
HUANG Zheng, CHEN De-min, WANG Dan-jie, et al. Design and Simulation Analysis on Arc Helix Spring of Dual Mass Flywheel[J]. Journal of Academy of Armored Force Engineering, 2009, 23(4): 31–35.
[10]吕振华,吴志国,陈涛.双质量飞轮-周向短弹簧型扭振减振器弹性特性设计原理及性能分析[J].汽车工程,2003,25(5):493–497.
LÜ Zhen-hua, WU Zhi-guo, CHEN Tao. The Design Principles and Performance Analysis of DMF-CSS Torsional Damper[J]. Automotive Engineering, 2003, 25(5):493–497.
[11] Schaper U, Sawodny O, Mahl T, et al. Modeling and torque estimation of an automotive Dual Mass Flywheel[C]. American Control Conference, 2009.ACC'09. IEEE, 2009: 1207–1212.
[12] 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 Experimental Verification on Damping Characteristics of Circumferential Arc Spring Dual Mass Flywheel[J]. Chinese Internal Combustion Engine Engineering, 2012, 33(1): 81–86.
[13] 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: 1607–1610.
[14] Walter A, Lingenfelser C, Kiencke U, et al. Cylinder balancing based on reconstructed engine torque for vehicles fitted with a dual mass flywheel (DMF) [J]. SAE Technical Paper, 2008: No. 2008-01-1019.
[15] 宋立权,赵孝峰,何泽海,等.引入摩擦的周向短弹簧汽车双质量飞轮分析模型及扭振固有特性[J].机械工程学报,2009,45(11):99–105.
SONG Li-quan, ZHAO Xiao-feng, HE Ze-hai, et al. Analysis Model and Inherent Characteristics of Torsional Vibration of the Dual Mass Flywheel-circumferential Short Spring Introduced Friction[J]. Journal of Mechanical Engineering, 2009, 45(11):99–105.
[16] Song LQ, Zeng LP, Zhang SP, et al. Design and analysis of a dual mass flywheel with continuously variable stiffness based on compensation principle[J]. Mechanism and Machine Theory, 2014, 79:124–140.
[17] 宋立权,李亮,尹玉明,等.基于形状约束的双质量飞轮设计理论研究[J].机械工程学报,2012,48(1):111–118.
SONG Li-quan, LI Liang, YIN Yu-ming, et al. Study on Design Theory of Dual Mass Flywheel Based on Shape Constraint[J]. Journal of Mechanical Engineering, 2012, 48(1):111–118.
[18] 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.
[19] 吴飞,毛恒.双质量飞轮传动轴系扭振模拟试验台研究[J].武汉理工大学学报,2010,32(15):758–761.
WU Fei, MAO Heng. Dual Mass Flywheel Torsional Vibration Test-bed[J]. Journal of Wuhan University of Technology, 2010, 32(5): 758–761.
[20] 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.
[21] Yoon J Y, Kim B. Gear rattle analysis of a torsional system with multi-staged clutch damper in a manual transmission under the wide open throttle condition[J]. Journal of Mechanical Science and Technology, 2016, 30(3): 1003–1019.
[22] 冯文杰,袁小丽,陈莹莹,等.AMT换挡冲击控制策略的优化方案[J].四川兵工学报,2014,35(11):110–113.
FENG Wen-jie, YUAN Xiao-li, CHEN Ying-ying, et al. Optimization Scheme of AMT Shift Impact Control Strategies[J]. Journal of Sichuan Ordnance, 2014, 35(11): 110–113.
[23] 吴志强,雷娜.分段线性系统的振动性能分析[J].振动与冲击,2015,34(18):94–99.
WU Zhi-qiang, LEI Na. Vibration performance analysis of piecewise linear system[J]. Journal of Vibration and Shock, 2015, 34(18): 94–99.
[24] Duan C, Singh R. Transient responses of a 2-dof torsional system with nonlinear dry friction under a harmonically varying normal load[J]. Journal of Sound and Vibration, 2005, 285(4):1223–1234.
[25] Crowther A R. Zhang N. Torsional finite elements and nonlinear numerical modeling in vehicle powertrain dynamics[J]. Journal of Sound and Vibration, 2005, 284(3-5): 825–849.
[26] 陈予恕.非线性振动[M].天津:天津科学技术出版社,1983:154–194.
CHEN Yu-shu. Nonlinear vibrations[M]. Tianjin: Tianjin Science and Technology Press, 1983:154–194.
[27] 贾尚帅,孙舒,李明高.基于谐波平衡法的双稳态压电发电系统非线性振动特性研究[J].振动与冲击,2014,33(6):170–173.
JIA Shang-shuai, SUN Shu, LI Ming-gao. Non-linear vibration analysis of bistable piezoelectric power generation system based on harmonic balance method[J]. Journal of Vibration and Shock, 2014, 33(6): 170–173.
[28] 张琪昌,任环,韩建鑫.时滞控制下的微梳状驱动器动力学研究[J].振动与冲击,2016,35(18):40–45.
ZHANG Qi-chang, REN Huan, HAN Jian-xin. Nonlinear dynamics of folded-MEMS comb drive resonators with time-delayed control[J]. Journal of Vibration and Shock, 2016, 35(18): 40–45.
[29] 刘延柱,陈立群.非线性振动[M].北京:高等教育出版社,2001:57–62.
LIU Yan-zhu, CHEN Li-qun. Nonlinear vibrations[M]. Beijing: Higher Education Press, 2001: 57–62.
[30] Reik W. Torsional Vibrations and Transmission Noise[C]. LuK Clutch Symposium, 1986: 37–43.

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