分段刚度双质量飞轮非线性振动特性研究
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摘要
本文中研究了具有分段线刚度的双质量飞轮在扭转振动过程中的非线性振动特性。首先建立双质量飞轮分段线性系统的数学模型,利用平均法得到系统响应在周期激励下的一次近似解,以及系统幅频特性函数;然后以实际双质量飞轮参数为例,分析各参数对幅频特性的影响;最后利用AMEsim软件对单级刚度和两级刚度双质量飞轮在不同工况下的减振性能进行对比分析。结果表明,平均法适用于双质量飞轮的非线性振动分析,同时系统幅频特性曲线在分段处具有向高频拐弯的特性,非线性特性可以降低系统共振峰值,仿真结果也表明两级刚度双质量飞轮在点火、熄火工况下第二质量转速波动和角加速度值要比单级刚度小。
The nonlinear vibration characteristics of the dual mass flywheel with piecewise linear stiffness during torsional vibration are studied in this paper. Firstly, the mathematical model of the dual-mass flywheel piecewise linear system is established. The average method is used to obtain an approximate solution of the system response and the amplitude-frequency characteristic function under the periodic excitation. Then for the actual dual mass flywheel, the influence of each parameter on the amplitude-frequency characteristics is analyzed. Finally, the damping performances of single-stage stiffness and two-stage stiffness dual-mass flywheel under different working conditions are compared and analyzed. The results show that the average method is applicable to the nonlinear vibration analysis of the dual-mass flywheel and the system amplitude-frequency characteristic curve has the characteristics of turning to high frequency at the segment. Nonlinear characteristics can reduce the resonance peak of the system. The simulation results also show that the two-stage stiffness dual-mass flywheel has smaller second mass speed fluctuation and angular acceleration than the single-stage stiffness flywheel under ignition and flameout conditions.
The nonlinear vibration characteristics of the dual mass flywheel with piecewise linear stiffness during torsional vibration are studied in this paper. Firstly, the mathematical model of the dual-mass flywheel piecewise linear system is established. The average method is used to obtain an approximate solution of the system response and the amplitude-frequency characteristic function under the periodic excitation. Then for the actual dual mass flywheel, the influence of each parameter on the amplitude-frequency characteristics is analyzed. Finally, the damping performances of single-stage stiffness and two-stage stiffness dual-mass flywheel under different working conditions are compared and analyzed. The results show that the average method is applicable to the nonlinear vibration analysis of the dual-mass flywheel and the system amplitude-frequency characteristic curve has the characteristics of turning to high frequency at the segment. Nonlinear characteristics can reduce the resonance peak of the system. The simulation results also show that the two-stage stiffness dual-mass flywheel has smaller second mass speed fluctuation and angular acceleration than the single-stage stiffness flywheel under ignition and flameout conditions.
引文
[1] MAHL T.Modelling of an automotive dual mass flywheel[C].Mechatronic Systems,2010:517-523.
[2] ZU Q,CHEN Z,SHI W,et al.Torsional vibration semiactive control of drivetrain based on magnetorheological fluid dual mass flywheel[J].Mathematical Problems in Engineering,2015(2):1-17.
[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].Journal of Automobile Engineering,2006,220(6):747-761.
[4] 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].Noise and Vibration Conference and Exhibition,2017-01-1752.
[5] 吕振华,熊海龙,陈涛.汽车动力传动系双质量飞轮-径向弹簧型扭振减振器弹性特性设计方法[J].汽车工程,2002,24(1):51-55.
[6] 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.
[7] 李伟,史文库,龙岩.双质量飞轮——四连杆-弹簧机构型扭振减振器弹性特性分析与优化设计[J].汽车技术,2008(9):17-21.
[8] 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+206-207.
[9] CHEN L,ZENG R,JIANG Z.Nonlinear dynamical model of an automotive dual mass flywheel[J].Advances in Mechanical Engineering,2015,7(6).1-11.
[10] JIANG Z F,CHEN L.Research on the method of circumferential spring dual mass flywheel damper matching with diesel engine[J].Key Engineering Materials,2010,419-420:65-68.
[11] 宋立权,牛红恩,曾礼平,等.基于单元分析的车辆动力传动系统建模与扭振减振的研究[J].汽车工程,2015,37(8):866-874.
[12] 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.
[13] 王立伟.周向长弧形弹簧双质量飞轮迟滞非线性模型参数辨识研究[D].武汉:武汉理工大学,2015.
[14] 李伟.汽车传动系用双质量飞轮的设计方法与扭振隔振特性研究[D].长春:吉林大学,2009.
[15] 刘浩然,刘飞,侯东晓,等.多非线性弹性约束下轧机辊系振动特性[J].机械工程学报,2012,48(9):89-94.
[16] 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.
[17] 韩清振,何仁.一类非线性相对转动系统的动力学行为及其机理分析[J].振动与冲击,2018,37(4):49-54+87.
[18] 陈予恕.非线性振动[M].北京:高等教育出版社,2002:99-116.
[2] ZU Q,CHEN Z,SHI W,et al.Torsional vibration semiactive control of drivetrain based on magnetorheological fluid dual mass flywheel[J].Mathematical Problems in Engineering,2015(2):1-17.
[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].Journal of Automobile Engineering,2006,220(6):747-761.
[4] 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].Noise and Vibration Conference and Exhibition,2017-01-1752.
[5] 吕振华,熊海龙,陈涛.汽车动力传动系双质量飞轮-径向弹簧型扭振减振器弹性特性设计方法[J].汽车工程,2002,24(1):51-55.
[6] 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.
[7] 李伟,史文库,龙岩.双质量飞轮——四连杆-弹簧机构型扭振减振器弹性特性分析与优化设计[J].汽车技术,2008(9):17-21.
[8] 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+206-207.
[9] CHEN L,ZENG R,JIANG Z.Nonlinear dynamical model of an automotive dual mass flywheel[J].Advances in Mechanical Engineering,2015,7(6).1-11.
[10] JIANG Z F,CHEN L.Research on the method of circumferential spring dual mass flywheel damper matching with diesel engine[J].Key Engineering Materials,2010,419-420:65-68.
[11] 宋立权,牛红恩,曾礼平,等.基于单元分析的车辆动力传动系统建模与扭振减振的研究[J].汽车工程,2015,37(8):866-874.
[12] 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.
[13] 王立伟.周向长弧形弹簧双质量飞轮迟滞非线性模型参数辨识研究[D].武汉:武汉理工大学,2015.
[14] 李伟.汽车传动系用双质量飞轮的设计方法与扭振隔振特性研究[D].长春:吉林大学,2009.
[15] 刘浩然,刘飞,侯东晓,等.多非线性弹性约束下轧机辊系振动特性[J].机械工程学报,2012,48(9):89-94.
[16] 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.
[17] 韩清振,何仁.一类非线性相对转动系统的动力学行为及其机理分析[J].振动与冲击,2018,37(4):49-54+87.
[18] 陈予恕.非线性振动[M].北京:高等教育出版社,2002:99-116.
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