故障参数下地铁齿轮传动系统的非线性动力学分析
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摘要
斜齿轮传动是地铁传动系统中一种非常重要的形式,而且斜齿轮故障对地铁运行具有重要影响,为了探究故障参数对地铁齿轮系统非线性动力学的影响,建立了刚度故障和齿面故障参数地铁斜齿六自由度齿轮弯-扭-轴耦合模型,使用变步长四阶Runge-Kutta数值积分法对含有故障参数的齿轮动力学模型进行数值分析,得到系统的动态响应过程。借助速度-时间历程图、相平面图、庞加莱截面图、分叉图等系统状态判断标准,定性分析系统激励频率、故障参数变化下系统周期运动、拟周期运动和混沌运动的演化过程。结果表明,地铁斜齿轮故障参数在不同转速时影响不同。
The helical gear is an important form of transmission in subway vehicles,helical gear failure has a great impact on the subway operation. In order to investigate the influence of fault parameters on the nonlinear dynamics of metro gear system,the stiffness failure and tooth surface fault parameters of 6-DOF subway bending-torsion-shaft coupling mode are established,by using the variable step fourth-order Runge-Kutta numerical integration method the gear dynamics model with fault parameters is analyzed to get the dynamic response process of the system. With the system status judgment criteria of speed-time process graph,phase plane graph,Poincare cross-section graph and bifurcation diagram,the system excitation frequency,the evolution of system periodic motion,quasi-periodic motion and chaotic motion with fault parameters changing are qualitatively analyzed. The results show that the failure parameters have different effects at different speeds.
The helical gear is an important form of transmission in subway vehicles,helical gear failure has a great impact on the subway operation. In order to investigate the influence of fault parameters on the nonlinear dynamics of metro gear system,the stiffness failure and tooth surface fault parameters of 6-DOF subway bending-torsion-shaft coupling mode are established,by using the variable step fourth-order Runge-Kutta numerical integration method the gear dynamics model with fault parameters is analyzed to get the dynamic response process of the system. With the system status judgment criteria of speed-time process graph,phase plane graph,Poincare cross-section graph and bifurcation diagram,the system excitation frequency,the evolution of system periodic motion,quasi-periodic motion and chaotic motion with fault parameters changing are qualitatively analyzed. The results show that the failure parameters have different effects at different speeds.
引文
[1]王彦刚,郑海起,杨通强,等.故障参数下齿轮系统非线性动力学行为[J].振动、测试与诊断,2011,31(5):570-573.
[2]马锐,陈予恕.含裂纹故障齿轮系统的非线性动力学研究[J].机械工程学报,2011,47(21):84-90.
[3]张青锋,唐力伟,郑海起,等.带有齿根裂纹故障的齿轮传动系统非线性动力学模型研究[J].振动工程学报,2011,24(3):294-298.
[4] PANREY A,TANDON N. Spur gear dynamic model in-cluding defects a review[J]. The Shock and Vibration Digest,2003,35(6):465-478.
[5] PANREY A,BADAOUI M E,GUILLET F. Dynamic modeling of spur gear pair and application of empirical mode de-compositionbased statistical analysis for early detec-tion of localized tooth defect[J]. Journal of Sound and Vibration,2006,294:547-561.
[6]朱艳芬,陈恩利,申永军,等.含有故障的齿轮系统扭转振动分析[J].北京信息科技大学学报(自然科学版),2007,22(4):13-17.
[7]刘梦军,沈允文,董海军.单级齿轮非线性系统吸引子的数值特性研究[J].机械工程学报,2003,39(10):111-116.
[8]李华,沈允文,刘梦军,等.用Lyapunov指数研究单对齿轮间隙非线性系统的动力学行为[J].中国机械工程,2002,13(12):1040-1044.
[9] ALSHYYAB A,KAHRAMAN A. Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method:sub-harmonic motions[J]. Journal of Sound and Vibration,2005:151-172.
[10] SHEN Y,YANG S,LIU X. Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method[J]. International Journal of Mechanical Sciences,2006,48(11):1256-1263.
[11]武慧杰,杨建伟,王富民.时变速度和阻尼激励下地铁齿轮传动系统的动力学响应分析[J].机械传动,2016,40(10):114-121.
[12]王昕,康博强.齿侧间隙函数对斜齿轮动力学特性的影响[J].机械传动,2015,39(12):17-23.
[2]马锐,陈予恕.含裂纹故障齿轮系统的非线性动力学研究[J].机械工程学报,2011,47(21):84-90.
[3]张青锋,唐力伟,郑海起,等.带有齿根裂纹故障的齿轮传动系统非线性动力学模型研究[J].振动工程学报,2011,24(3):294-298.
[4] PANREY A,TANDON N. Spur gear dynamic model in-cluding defects a review[J]. The Shock and Vibration Digest,2003,35(6):465-478.
[5] PANREY A,BADAOUI M E,GUILLET F. Dynamic modeling of spur gear pair and application of empirical mode de-compositionbased statistical analysis for early detec-tion of localized tooth defect[J]. Journal of Sound and Vibration,2006,294:547-561.
[6]朱艳芬,陈恩利,申永军,等.含有故障的齿轮系统扭转振动分析[J].北京信息科技大学学报(自然科学版),2007,22(4):13-17.
[7]刘梦军,沈允文,董海军.单级齿轮非线性系统吸引子的数值特性研究[J].机械工程学报,2003,39(10):111-116.
[8]李华,沈允文,刘梦军,等.用Lyapunov指数研究单对齿轮间隙非线性系统的动力学行为[J].中国机械工程,2002,13(12):1040-1044.
[9] ALSHYYAB A,KAHRAMAN A. Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method:sub-harmonic motions[J]. Journal of Sound and Vibration,2005:151-172.
[10] SHEN Y,YANG S,LIU X. Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method[J]. International Journal of Mechanical Sciences,2006,48(11):1256-1263.
[11]武慧杰,杨建伟,王富民.时变速度和阻尼激励下地铁齿轮传动系统的动力学响应分析[J].机械传动,2016,40(10):114-121.
[12]王昕,康博强.齿侧间隙函数对斜齿轮动力学特性的影响[J].机械传动,2015,39(12):17-23.