摘要
针对模切机间歇链传动系统在高速运行时链条和叼纸牙排产生较大的冲击和振动,从而造成叼纸牙排定位精度降低和系统运行失稳等问题,从能量角度出发,基于拉格朗日(Lagrange)法引入雷利耗散函数建立模切机间歇链传动系统弹性动力学方程。采用四阶Runge-Kutta法求解,求出前六阶固有频率,并以修正正弦、修正等速、修正梯形运动规律作为输入驱动运动规律,分析在不同速度、预紧力、阻尼情况下的动态响应情况。结果表明,高速情况下修正梯形运动规律作为输入驱动运动规律时所产生的振动响应峰值较小,相对同转速下修正正弦和修正等速所产生的振动响应峰值分别降低12.1%和69.9%;适当的预紧力和阻尼可以一定程度上降低振动振幅,使得残余振动衰减迅速,改善动力学性能,提高系统稳定性。
For the intermittent chain drive system of die-cutting machine,the chain and the gripper row produce large impact and vibration when running at high speed,which causes the positioning accuracy of the gripper row to be reduced and the system to be unstable,etc.,the elastic dynamics equations of the intermittent chain drive system of die-cutting machine were established based on the Lagrange method by introducing the Rayleigh dissipation function from the energy point of view.The fourth-order Runge-Kutta method was used to solve the equations,and the first six orders of the intrinsic frequency were found.The modified sinusoidal,modified equal velocity,and modified trapezoidal were used as the input driving motion laws to analyze the dynamic response under different speeds,preloading force,and damping.The results showed that the peak value of vibration response generated by the modified trapezoidal as the input driving motion law is small at high speed,and the peak value of vibration response generated by the modified sinusoidal and modified constant velocity at the same rotational speed is reduced by 12.1%and 69.9%,respectively.The appropriate preloading force and damping can reduce the vibration amplitude to a certain extent,so that the residual vibration attenuation can be rapid and the stability of the system can be improved,the dynamic performance and system stability can be improved.
作者
宋鑫
沈韶华
房瑞明
SONG Xin;SHEN Shao-hua;FANG Rui-ming(School of Mechanical and Electrical Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China)
出处
《印刷与数字媒体技术研究》
北大核心
2025年第6期140-149,共10页
Printing and Digital Media Technology Study
基金
北京市教委面上项目——高速印刷机凸轮系统冲击问题建模及参数识别方法研究(No.KM201810015007)
北京印刷学院科研计划项目——基于DIC测量的高端印刷装备凸轮驱动系统冲击动力学研究(No.Ec202301)。
关键词
模切机
间歇链传动
动力学
振动响应
Die-cutting machine
Intermittent chain drive
Dynamics
Vibration response
