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计及弯曲刚度的印刷运动薄膜横向振动控制研究

武吉梅 景涛 王砚 李彦锋 薛志成 武秋敏

武吉梅, 景涛, 王砚, 李彦锋, 薛志成, 武秋敏. 计及弯曲刚度的印刷运动薄膜横向振动控制研究[J]. 应用数学和力学, 2015, 36(7): 686-699. doi: 10.3879/j.issn.1000-0887.2015.07.002
引用本文: 武吉梅, 景涛, 王砚, 李彦锋, 薛志成, 武秋敏. 计及弯曲刚度的印刷运动薄膜横向振动控制研究[J]. 应用数学和力学, 2015, 36(7): 686-699. doi: 10.3879/j.issn.1000-0887.2015.07.002
WU Ji-mei, JING Tao, WANG Yan, LI Yan-feng, XUE Zhi-cheng, WU Qiu-min. Transverse Vibration Control of Moving Printing Membranes With Bending Stiffness[J]. Applied Mathematics and Mechanics, 2015, 36(7): 686-699. doi: 10.3879/j.issn.1000-0887.2015.07.002
Citation: WU Ji-mei, JING Tao, WANG Yan, LI Yan-feng, XUE Zhi-cheng, WU Qiu-min. Transverse Vibration Control of Moving Printing Membranes With Bending Stiffness[J]. Applied Mathematics and Mechanics, 2015, 36(7): 686-699. doi: 10.3879/j.issn.1000-0887.2015.07.002

计及弯曲刚度的印刷运动薄膜横向振动控制研究

doi: 10.3879/j.issn.1000-0887.2015.07.002
基金项目: 国家自然科学基金(11172056);国家重点基础研究发展计划(973计划)(2014CB046803)
详细信息
    作者简介:

    武吉梅(1963—),女,山东潍坊人,教授,博士,博士生导师(E-mail: wujimei@xaut.edu.cn);景涛(1987—),男,山西运城人,硕士生(通讯作者. E-mail: TJingXAUT@126.com).

  • 中图分类号: O322;O232

Transverse Vibration Control of Moving Printing Membranes With Bending Stiffness

Funds: The National Science Foundation of China (11172056); The National Basic Research Program of China(973 Program)(2014CB046803)
  • 摘要: 研究了不同边界条件下,计及弯曲刚度的轴向运动薄膜横向振动的主动控制问题.建立计及弯曲刚度的印刷运动薄膜的计算模型.利用有限差分法,对轴向运动薄膜的振动微分方程进行离散,推导出轴向运动矩形薄膜横向振动控制系统的状态方程.采用次最优控制法,对不同边界条件下轴向运动矩形薄膜横向振动进行主动控制研究.计算结果表明:采用次最优控制法能够在短时间内迅速、有效地降低运动薄膜的振动强度,并使之衰减趋近于0.作动器作用在固定位置点处时,对运动薄膜施加控制后,四边简支边界条件下的控制效果好.作动器作用在不同位置点处时,两种边界条件下中心点处的控制效果最好.计算证明次最优控制法能够有效地抑制印刷过程中计及弯曲刚度的轴向运动薄膜的横向振动,从而提高印刷套印精度,保证精密印刷质量.
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出版历程
  • 收稿日期:  2014-12-02
  • 修回日期:  2015-04-13
  • 刊出日期:  2015-07-15

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