中国机械工程

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基于无矩理论的凹版印刷机运动薄膜横向振动特性及稳定性

武吉梅1,2;邵明月1;田振2;雷文姣2;王砚3   

  1. 1.西安理工大学机械与精密仪器工程学院,西安, 710048
    2.西安理工大学印刷包装与数字媒体学院,西安, 710048
    3.西安理工大学土木建筑工程学院,西安, 710048
  • 出版日期:2018-12-25 发布日期:2018-12-24
  • 基金资助:
    国家自然科学基金资助项目(11272253, 11202159);
    陕西省自然科学基金资助项目(2018JM5023,2018JM1028,2018JM5119);
    西安理工大学博士学位论文创新基金资助项目(310\|252071702)
    National Natural Science Foundation of China (No. 11272253, 11202159)
    Shaanxi Provincial Natural Science Foundation of China (No. 2018JM5023,2018JM1028,2018JM5119)

Transverse Vibration Characteristics and Stability of Moving Membranes of Gravure Printing Machines Based on Theory of Non-moment

WU Jimei1,2;SHAO Mingyue1;TIAN Zhen2;LEI Wenjiao2;WANG Yan3   

  1. 1.School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an, 710048
    2.Faculty of Printing, Packing and Digital Media Engineering, Xi'an University of Technology, Xi'an, 710048
    3.School of Civil Engineering and Architecture, Xi'an University of Technology, Xi'an, 710048
  • Online:2018-12-25 Published:2018-12-24
  • Supported by:
    National Natural Science Foundation of China (No. 11272253, 11202159)
    Shaanxi Provincial Natural Science Foundation of China (No. 2018JM5023,2018JM1028,2018JM5119)

摘要: 研究了运动薄膜横向振动特性及其稳定性,以无矩理论为基础,建立了多色组印刷情况下具有中间刚性支承运动薄膜的横向振动模型。根据D'Alembert原理,建立了振动系统的运动微分方程。数值分析了薄膜的振动频率与运动速度、张力、支承位置之间的关系,结果表明中间单刚性支承薄膜振动发散失稳的临界速度为35.855 m/s。对于具有中间两刚性支承的印刷运动薄膜,薄膜轴向运动速度越低,支撑位置的变化对薄膜振动频率影响越明显。

关键词: 刚性支承, 振动特性, 运动薄膜, D'Alembert原理

Abstract: Transverse vibration characteristics and stability of moving membranes were studied. Based on non-moment theory, a transverse vibration model with intermediate rigid support moving membranes under multi-color group printing processes was established. Differential motion equations of the vibration system were derived according to D'Alembert principle. Relationship of membrane vibration frequency and velocity, relationship of membrane vibration frequency and tension, and relationship of membrane vibration frequency and support position were numerically analyzed. The results show that the critical velocity of vibration divergence of single rigid support membrane is as 35.855 m/s. The effects of support position changes on the vibration frequency of membrane are more obvious when axial velocity of membrane is lower for the printing moving membrane with two intermediate rigid supports.

Key words: rigid support, vibration characteristics, moving membrane, D'Alembert principle

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