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首页> 外文期刊>Mathematical Problems in Engineering >Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches
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Transverse Vibration of a Moving Viscoelastic Hard Membrane Containing Scratches

机译：运动的包含划痕的粘弹性硬膜的横向振动

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摘要

The transverse vibration and stability of a moving viscoelastic hard printing membrane containing scratches are investigated. Based on the viscoelastic differential constitutive relation, thin plate theory, and d'Alembert principle, the differential equation of a moving viscoelastic hard membrane with a straight scratch through the surface is derived by using the continuity condition of the scratches. The complex characteristic equation is obtained by using the differential quadrature method. The effects of the scratch depth and scratch position on the critical instability speed of the moving hard membrane were highlighted by solving the differential equation and numerical calculation, and the coupling effects of speed and scratch depth on vibration characteristics of the hard membrane are also analyzed. Numerical calculation results show that the hard membrane experiences divergence instability when the actual printing speed is v=23.2 m/s, and the membrane is stable when v<23.2 m/s. The theoretical guidance and method for scratches detection of the precision coated hard membrane are provided.
机译：研究了包含刮痕的移动粘弹性硬印刷膜的横向振动和稳定性。基于粘弹性微分本构关系，薄板理论和d'Alembert原理，利用划痕的连续性条件推导了具有直的划痕穿过表面的运动粘弹性硬膜的微分方程。利用微分求积法求出复数特征方程。通过求解微分方程和数值计算，强调了刮擦深度和刮擦位置对移动的硬膜临界失稳速度的影响，并分析了速度和刮擦深度对硬膜振动特性的耦合作用。数值计算结果表明，当实际印刷速度为v = 23.2 m / s时，硬质膜发散不稳定性；当v <23.2 m / s时，硬质膜稳定。提供了用于精密涂层硬膜划痕检测的理论指导和方法。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第2期|5671361.1-5671361.13|共13页
  • 作者

    Shao Mingyue; Wu Jimei; Wang Yan; Zhang Hongmei; Wu Qiumin;

  • 作者单位

    Xian Univ Technol Sch Mech & Precis Instrument Engn Xian 710048 Shaanxi Peoples R China;

    Xian Univ Technol Sch Mech & Precis Instrument Engn Xian 710048 Shaanxi Peoples R China|Xian Univ Technol Fac Printing Packaging & Digital Media Engn Xian 710048 Shaanxi Peoples R China;

    Xian Univ Technol Sch Civil Engn & Architecture Xian 710048 Shaanxi Peoples R China;

    Xian Univ Technol Fac Printing Packaging & Digital Media Engn Xian 710048 Shaanxi Peoples R China;

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