Study of kinetic stability for membrane based on differential quadrature method

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (20) : 57-60.

WU Ji-mei，CHEN Yuan，WANG Yan，WU Qiu-min

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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

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WU Ji-mei，CHEN Yuan，WANG Yan，WU Qiu-min . Study of kinetic stability for membrane based on differential quadrature method[J]. Journal of Vibration and Shock, 2015, 34(20): 57-60

References

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