Study on Nonlinear Vibration of Vehicle Dual Mass Flywheels with Three-stage Piecewise Stiffnesses

Abstract

Abstract: For a DMF with three-stage piecewise stiffness，the change characteristics of the DMF stiffnesses with torsional angles were analyzed.And considering the stiffness nonlinear characteristics，torsional vibration model of the vehicle drive system equipped with the DMF and the corresponding differential equations were established.To explore the nonlinear vibration characteristics of the DMF，the average method and Runge-Kutta numerical integration method were applied for the derivation and analysis of the torsional angle nonlinear frequency characteristics approximate resolutions，and the forced vibration response simulation analyses were carried out with different torque frequencies.

Key words: dual mass flywheel（DMF）, vehicle drive system, nonlinear vibration, approximate resolution, vibration response

摘要： 分析了三级分段变刚度双质量飞轮（DMF）刚度随扭转角变化的特征，考虑刚度非线性因素建立了搭载DMF的汽车传动系非线性扭转振动模型和对应的微分方程，采用平均法和Runge-Kutta数值积分方法编制算法程序，推导和分析扭转角非线性频率特性近似解析解，并对不同转矩频率下的强迫振动响应进行仿真分析，以进一步探究三级分段变刚度DMF在传动系统中的非线性振动特性。

关键词: 双质量飞轮, 汽车传动系统, 非线性振动, 近似解析解, 振动响应

CLC Number:

ZENG Liping1;CHEN Qiping1;YUAN Xingxing2;XIAO Qiang1;ZHOU Conghui1;HUANG Juanlin1. Study on Nonlinear Vibration of Vehicle Dual Mass Flywheels with Three-stage Piecewise Stiffnesses[J]. China Mechanical Engineering.

曾礼平1;陈齐平1;袁星星2;肖强1;周聪辉1;黄娟林1. 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.

References

[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]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.
[4]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.
LYU Zhenhua，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.
[5]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.
LYU Zhenhua，WU Zhiguo，CHEN Tao.The Design Principles and Performance Analysis of DMF-CSS Torsional Damper[J].Automotive Engineering，2003，25（5）：493-497.
[6]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 Yinong，QIAN Xinjian，SUN Wei.Simulation and Study on Dynamic Load Characteristics of Arc Spring[J].China Mechanical Engineering，2012，23（2）：155-160.
[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，2006，326：1607-1610.
[8]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 Guanghui，HU Jianjun，QIN Datong.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.
[9]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，2008：2008-01-1019.
[10]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.
[11]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 Liquan，LI Liang，YIN Yuming，et al.Study on Design Theory of Dual Mass Flywheel Based on Shape Constraint[J].Journal of Mechanical Engineering，2012，48（1）：111-118.
[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 Shengtian.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（25）：92-96.
SHI Wenku，LONG Yan，LU Yudong.Study on Multistage Non-linear Dual Mass Flywheel Damper[J].Journal of Vibration and Shock，2009，28（5）：92-96.
[14]SCHAPER U，SAWODNY O，MAHL T，et al.Modeling and Torque Estimation of an Automotive Dual Mass Flywheel[C]//American Control Conference，2009.St.Louis，2009：1207-1212.
[15]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.
[16]陈予恕.非线性振动[M].天津：天津科学技术出版社，1983：154-194.
CHEN Yushu.Nonlinear Vibrations[M].Tianjin：Tianjin Science and Technology Press，1983：154-194.
[17]王成.渐开线直齿轮传动系统非线性动力学研究[D].北京：北京理工大学，2015.
WANG Cheng.Nonlinear Dynamic Research of Involute Spur Gear System[D].Beijing：Beijing Institute of Technology，2015.