引用本文:林玉龙,薛涛,卜凡华,张睿.卷筒纸折页机构刚柔耦合建模及其动态特性分析[J].包装工程,2023,44(9):297-305.
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卷筒纸折页机构刚柔耦合建模及其动态特性分析
林玉龙1,2,薛涛3,卜凡华1,2,张睿1,2
1.北京印刷学院,北京 102600;2.数字化印刷装备北京市重点实验室,北京 100005; 3.中国北方车辆研究所,北京 100072
摘要:
目的 准确地反映卷筒纸折页机构的动态特性及砍刀与纸张之间的动态接触激励。方法 基于刚柔耦合理论,建立卷筒纸刀式折页机构刚柔耦合动力学模型,将砍刀臂与纸张作为柔性体,研究折页机构刚柔耦合动态特性。结果 建立了刚性折页机构的运动学解析模型,得到连杆与砍刀臂铰接处的位移、速度及从动件角速度的解析值,与刚柔耦合分析值对比,验证了刚柔耦合模型的合理性;而后,对砍刀臂的变形与砍刀头的横向位移之间的关系进行分析,确定了折页机构在保证折页精度时的最大转速;进而分析了砍刀与纸张之间的动态接触激励,确定了砍刀的工作载荷;最后,建立了刚性折页机构动力学解析模型,与刚柔耦合模型分析值对比,发现当折页机构转速大于25 000 r/h时,两者支座反力的偏差比较显著,不能忽略砍刀臂变形的影响。结论 该研究对卷筒纸折页机构的仿真及试验研究具有一定的参考价值。
关键词:  折页机构  刚柔耦合  运动学  动力学
DOI:10.19554/j.cnki.1001-3563.2023.09.036
分类号:TS803.6;TP391.9
基金项目:北京印刷学院基础研究项目(Eb202003);国家重点研发计划(2019YFB1707202);北京印刷学院学科建设和研究生教育专项(21090122001)
Rigid-flexible Coupling Modeling and Dynamic Characteristic Analysis of Web Paper Folding Mechanism
LIN Yu-long1,2, XUE Tao3, BU Fan-hua1,2, ZHANG Rui1,2
(1. Beijing Institute of Graphic Communication, Beijing 102600, China;2. Beijing Key Laboratory of Digitalized Printing Equipment, Beijing 100005, China;3. China North Vehicle Research Institute, Beijing 100072, China)
Abstract:
The work aims to reflect the dynamic characteristics of web paper folding mechanism and the dynamic contact excitation between machete and paper accurately.Based on the rigid-flexible coupling theory, a rigid-flexible coupling dynamic model of the web paper knife-type folding mechanism was established. With the machete arm and the paper as flexible bodies, the rigid-flexible coupling dynamic characteristics of the folding mechanism were studied. The kinematic analytical model of the rigid folding mechanism was established. The displacement, velocity and angular velocity of the followers at the joint of the connecting rod and the machete arm were obtained and compared with the rigid-flexible coupling analysis value to verify the rationality of the rigid-flexible coupling model. Then, the relationship between the deformation of the machete arm and the lateral displacement of the machete head was analyzed to determine the maximum rotation speed of the folding mechanism to ensure the folding accuracy. Furthermore, the dynamic contact excitation between the machete and the paper was analyzed, and the working loads of the machete were determined. Finally, the dynamic analytical model of the rigid folding mechanism was established. Compared with the analytical values of the rigid-flexible coupling model, it was found that when the rotation speed of the folding mechanism was greater than 25 000 r/h, the deviation of the two support reaction forces was significant. Therefore, the effect of the machete arm deformation should not be ignored. The study has certain reference value for simulation and experimental research of web paper folding mechanism.
Key words:  folding mechanism  rigid-flexible coupling  kinematics  dynamics

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