含间隙的采煤机截割部传动系统的非线性动力学特性研究
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摘要
为研究含间隙的采煤机截割部传动系统的非线性动力学特性,建立了考虑齿侧间隙的采煤机截割部齿轮系统动力学模型,并确立了模型中啮合刚度和阻尼的函数关系,运用变步长的Runge-Kuatt方法对动力学模型进行数值仿真,研究齿侧间隙对采煤机截割部传动系统各齿轮副啮合力的影响,结果表明:齿侧间隙增加了各齿轮副啮合力的变化量以及啮合频率倍频的幅值,齿侧间隙增大会增加啮合力的波动幅度会引起传动过程中的很大冲击力,加速齿面的磨损,同时齿侧间隙还会使齿轮由于过载而在齿轮中产生断齿。提高采煤机截割部齿轮传动系的稳定性与使用寿命,应降低其扭振程度与缩小齿侧间隙。本研究对齿轮传动系统的优化设计与研究提供理论基础。
In order to study the nonlinear dynamic characteristics of the cutting system of the shearer with gap,a dynamic model of the gear system of the shearer cutting machine is established,and the function of meshing stiffness and damping in the model is established. The influence of the tooth clearance on the meshing force of the gears of the shearer's drive system is studied by using the runge-Kuatt method. The results show that the gears are increased by the gears The change of the meshing force and the amplitude of the frequency multiplication of the meshing frequency. Increasing the amplitude of the tooth side increases the fluctuation range of the engaging force,causing a large impact force in the transmission process,accelerating the wear of the tooth surface,The gears are broken in gear due to overload. Improve the stability and service life of the gear train of the shearer cutting section,and reduce the torsional vibration degree and reduce the tooth clearance. This study provides a theoretical basis for the optimal design and research of gear transmission system.
In order to study the nonlinear dynamic characteristics of the cutting system of the shearer with gap,a dynamic model of the gear system of the shearer cutting machine is established,and the function of meshing stiffness and damping in the model is established. The influence of the tooth clearance on the meshing force of the gears of the shearer's drive system is studied by using the runge-Kuatt method. The results show that the gears are increased by the gears The change of the meshing force and the amplitude of the frequency multiplication of the meshing frequency. Increasing the amplitude of the tooth side increases the fluctuation range of the engaging force,causing a large impact force in the transmission process,accelerating the wear of the tooth surface,The gears are broken in gear due to overload. Improve the stability and service life of the gear train of the shearer cutting section,and reduce the torsional vibration degree and reduce the tooth clearance. This study provides a theoretical basis for the optimal design and research of gear transmission system.
引文
[1]姚文席,马蔚.齿轮内啮合传动的重合度及载荷修正系数的计算(Ⅰ)-齿侧间隙的计算[J].机械强度,2004,26(1):054-057.YAOWenXi,MA Wei.Calculation about the contact ratio and the load correction factor of the internal gear transmission-calculation about the backlash of the tooth profiles[J].Journal of Mechanical Strength,2004,26(1):054-057(In Chinese).
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[3]王玉新,柳杨.含侧隙齿轮副的动载荷分析[J].机械强度,2003,25(4):373-377.WANGYuXin LIU Yang.Dynamic load analysis of spup gear pairs with backlash[J].Journal of Mechanical Strength,2003,25(4):373-377(In Chinese).
[4]杜坤,赵利平,梁义维.齿侧间隙对渐开线齿轮啮合冲击的影响分析[J].中国农机化学报,2016(37):2095-5553.DU Kun,ZHAO Li Ping,LIANG Yi Wei.Analysis of the meshing impact of involute gear effected by backlash[J].Journal of Chinese Agricultural Mechanization,2016(37):2095-5553(In Chinese).
[5]Nevzat 9zgüven H,Houser D R.Mathematical models used in gear dynamcs-a review[J].Journal of Sound and Vibration,1988,121(3):383-411.
[6]Kahraman A,Singh R.Interactions between time-varying mesh stiffness and clearance non-linearitiesin a geared system[J].Journal of Sound and Vibration,1991,146(1):135-156.
[7]杨成云.齿轮传动系统耦合振动响应及抗冲击性能研究[D].重庆:重庆大学,2006:13-17.YANG ChengYun.Study on coupled vibration response and impact resistance of gear Transmission System[D].Chongqing:Chongqing University,2006:13-17(In Chinese).
[8]张靖.不同因素激励下齿轮传动动力学仿真及实验研究[D].重庆:重庆大学,2012:13-19.Zhang Jing.Dynamic simulation and experimental study of gear transmission under different factors[D].Chongqing:Chongqing University,2012:13-19(In Chinese).
[9]曾作钦,赵学智.啮合刚度及啮合阻尼对齿轮振动影响的研究[J].机床与液压,2010(05):32-34.ZENGZuoQin,ZHAO Xue Zhi.Influence of meshing stiffness and meshing damping on gear vibration[J].Machine Tool&Hydraulics,2010(05):32-34(In Chinese).
[2]何航红.齿侧间隙对齿轮系统动力学行为的影响[J].机械设计与制造,2012(07):1001-3997.HEHangHong.Effect of Backlash on Dynamics Behavior of Gear System[J].Machinery Design&Manufacture,2012(07):1001-3997(In Chinese).
[3]王玉新,柳杨.含侧隙齿轮副的动载荷分析[J].机械强度,2003,25(4):373-377.WANGYuXin LIU Yang.Dynamic load analysis of spup gear pairs with backlash[J].Journal of Mechanical Strength,2003,25(4):373-377(In Chinese).
[4]杜坤,赵利平,梁义维.齿侧间隙对渐开线齿轮啮合冲击的影响分析[J].中国农机化学报,2016(37):2095-5553.DU Kun,ZHAO Li Ping,LIANG Yi Wei.Analysis of the meshing impact of involute gear effected by backlash[J].Journal of Chinese Agricultural Mechanization,2016(37):2095-5553(In Chinese).
[5]Nevzat 9zgüven H,Houser D R.Mathematical models used in gear dynamcs-a review[J].Journal of Sound and Vibration,1988,121(3):383-411.
[6]Kahraman A,Singh R.Interactions between time-varying mesh stiffness and clearance non-linearitiesin a geared system[J].Journal of Sound and Vibration,1991,146(1):135-156.
[7]杨成云.齿轮传动系统耦合振动响应及抗冲击性能研究[D].重庆:重庆大学,2006:13-17.YANG ChengYun.Study on coupled vibration response and impact resistance of gear Transmission System[D].Chongqing:Chongqing University,2006:13-17(In Chinese).
[8]张靖.不同因素激励下齿轮传动动力学仿真及实验研究[D].重庆:重庆大学,2012:13-19.Zhang Jing.Dynamic simulation and experimental study of gear transmission under different factors[D].Chongqing:Chongqing University,2012:13-19(In Chinese).
[9]曾作钦,赵学智.啮合刚度及啮合阻尼对齿轮振动影响的研究[J].机床与液压,2010(05):32-34.ZENGZuoQin,ZHAO Xue Zhi.Influence of meshing stiffness and meshing damping on gear vibration[J].Machine Tool&Hydraulics,2010(05):32-34(In Chinese).