三叉式万向联轴器输出轴的运动规律分析
|
摘要
针对三叉式万向联轴器传动时输出轴的运动规律问题,建立三叉式万向联轴器系统的坐标系,应用坐标变换技术建立了三叉式万向联轴器输入轴和输出轴的运动方程,推导出了三叉式万向联轴器采用双径向轴承安装时输出轴交点的运动轨迹方程及至输入轴轴线的距离方程。对运动方程进行了数值求解,考察了输出轴的偏心量随偏转角的变化关系,及在输入轴一个运动周期内输出轴的运动规律。通过建立三叉式万向联轴器虚拟样机对其进行了仿真实例分析,验证了理论分析的正确性。研究结果表明:输出轴绕坐标轴Zo做行星运动,其公转是自转转速的三倍;随着偏转角的增大,偏心量逐渐增大,输出轴中点的运动轨迹波动越强。
Aiming at the output shaft movement problem of the tripod universal coupling,the coordinate system of the tripod unversal joint was establised and the motion equations of the input shaft and output shaft of the tripod universal joint were established by the coordinate transformation technique,and deduced that the trajectory equations and the distance equations of the output shaft when the double radial bearings were installed.The relationship between the output shaft were investigated by the numerical solution.Then the correctness of the theoretical analysis was vertified.The results indicate that the output shaft around the axis Zodo planetary motion,which the revolution is three times the input shaft speed in a movement cycle.With the greater the deflection angle,the more output shaft eccentricity,the greater the fluctuation of the trajectory snd the farther away from the input shaft.
Aiming at the output shaft movement problem of the tripod universal coupling,the coordinate system of the tripod unversal joint was establised and the motion equations of the input shaft and output shaft of the tripod universal joint were established by the coordinate transformation technique,and deduced that the trajectory equations and the distance equations of the output shaft when the double radial bearings were installed.The relationship between the output shaft were investigated by the numerical solution.Then the correctness of the theoretical analysis was vertified.The results indicate that the output shaft around the axis Zodo planetary motion,which the revolution is three times the input shaft speed in a movement cycle.With the greater the deflection angle,the more output shaft eccentricity,the greater the fluctuation of the trajectory snd the farther away from the input shaft.
引文
[1]常德功,李松梅.双径向轴承安装三叉式万向联轴器机构的运动分析[J].机械工程学报,2015,51(13):218-226.
[2]KWANG H L,DEUK W L,JIN H CH,et al.Design of generated axial force measurement tester for tripod constant velocity joints under shudder condition[J].Journal of Mechanical Science and Technology,2014,28(10):4005-4010.
[3]MAIJID Y,ALIREZA S.Design,manufacture and evaluation of a new flexible constant velocity mechanism for transmission of power between parallel shafts[J].Journal of Mechanical Science and Technology,2015,29(8):3357-3361.
[4]CAMEIRO V H,MEIRELES J.Hydraulic hose as an instability reducer for a flexible shaft composed by universal joints[J].New Trends in Mechanism and Machine Science,2014,24(8):807-815.
[5]SA1 J S,KANG T W and KIM C M.Experimental study of the characteristics of idle vibrations that result from axial forces and the spider positions of constant velocity joints[J].International Journal of Automotive Technology,2010,11(3):355-361.
[6]CAI Q C,LEE K H,SONG W L,et al.Simplified dynamics model for axial force in tripod constant velocity joint[J].International Journal of Automotive Technology,2012,13(5):751-757.
[7]KANG Yi-ting,SHEN Yan-hua,ZHANG Wen-ming et al.Stability region of floating intermediate support in a shaft system with multiple universal joints[J].Journal of Mechanical Science and Technology,2014,28(6):2733-2742.
[8]王学锋,常德功.滑移型三叉式联轴器抗磨损结构及数学建模[J].中国机械工程,2009,20(5):538-541.
[9]张启先.空间机构的分析与综合[M].北京:机械工业出版社,1984.
[10]刘善增,余跃庆,侣国宁,等.3自由度并联机器人的运动学和动力学分析[J].机械工程学报,2009,45(8):11-17.
[2]KWANG H L,DEUK W L,JIN H CH,et al.Design of generated axial force measurement tester for tripod constant velocity joints under shudder condition[J].Journal of Mechanical Science and Technology,2014,28(10):4005-4010.
[3]MAIJID Y,ALIREZA S.Design,manufacture and evaluation of a new flexible constant velocity mechanism for transmission of power between parallel shafts[J].Journal of Mechanical Science and Technology,2015,29(8):3357-3361.
[4]CAMEIRO V H,MEIRELES J.Hydraulic hose as an instability reducer for a flexible shaft composed by universal joints[J].New Trends in Mechanism and Machine Science,2014,24(8):807-815.
[5]SA1 J S,KANG T W and KIM C M.Experimental study of the characteristics of idle vibrations that result from axial forces and the spider positions of constant velocity joints[J].International Journal of Automotive Technology,2010,11(3):355-361.
[6]CAI Q C,LEE K H,SONG W L,et al.Simplified dynamics model for axial force in tripod constant velocity joint[J].International Journal of Automotive Technology,2012,13(5):751-757.
[7]KANG Yi-ting,SHEN Yan-hua,ZHANG Wen-ming et al.Stability region of floating intermediate support in a shaft system with multiple universal joints[J].Journal of Mechanical Science and Technology,2014,28(6):2733-2742.
[8]王学锋,常德功.滑移型三叉式联轴器抗磨损结构及数学建模[J].中国机械工程,2009,20(5):538-541.
[9]张启先.空间机构的分析与综合[M].北京:机械工业出版社,1984.
[10]刘善增,余跃庆,侣国宁,等.3自由度并联机器人的运动学和动力学分析[J].机械工程学报,2009,45(8):11-17.