基于微分求积法的印刷运动薄膜动力稳定性分析

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摘要以印刷运动薄膜为研究对象进行横向振动特性及稳定性研究。建立抛物线型变密度运动薄膜计算模型。用微分求积法对运动薄膜横向振动方程进行离散，获得运动薄膜的复特征值方程。通过数值求解获得系统无量纲复频率与运动速度、密度系数、薄膜张力比的关系曲线，确定密度系数与临界速度的函数关系，分析密度系数、薄膜张力比对薄膜振动特性影响。结果表明，密度系数及张力比对薄膜稳定性有重要影响。

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	武吉梅
	陈媛
	王砚
	武秋敏

关键词 ：印刷运动薄膜；动力稳定性；微分求积法；抛物线变密度

Abstract：

In this paper, the printing moving membrane is studied and its transverse vibration characteristics and stability is analyzed. The calculation model of the moving membrane with parabolic variable density is established. The transverse vibration equation of printing membrane is discretized using the differential quadrature method, and the re-characteristic equation is obtained. The relation curves between the first three dimensionless complex frequencies with the dimensionless velocity, the density coefficient and the tension ratio are obtained by numerical calculation. The function relationship of the density coefficient and the critical speed is determined. The effects of the density coefficient and the tension ratio on the vibration characteristics of the membrane are discussed. The numerical results show that the density coefficient and the tension ratio have important impacts on the stability of moving membrane. And the study provides a theoretical basis for optimizing the structure of printing press and improving the work stability of the high-speed moving membrane.

Key words： printing moving membrane kinetic stability differential quadrature method；parabolic variable density

收稿日期: 2015-01-26 出版日期: 2015-10-25

引用本文:

武吉梅，陈媛，王砚，武秋敏. 基于微分求积法的印刷运动薄膜动力稳定性分析[J]. 振动与冲击, 2015, 34(20): 57-60.
WU Ji-mei，CHEN Yuan，WANG Yan，WU Qiu-min . Study of kinetic stability for membrane based on differential quadrature method. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(20): 57-60.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I20/57

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